Y = mx + b, where m stands for the line's slope and b for the y-intercept, is how the equation for the line is expressed in the slope-intercept form.
How do you find the slope-intercept form?This serves as a primer on how to draw lines using the slope and y-intercept values from an equation. As we generally begin, keep in mind that the y-intercept is the point where the graph crosses the y-axis. Calculate the slope after first locating the y-intercept. The slope's positive or negative nature will do for the time being.The first variables we'll need in our function are listed below:= slope
: b = y-intercept
Y = mx + b represents the equation. In the example, y = 2x + 4, slope = 2, and y-intercept = 4, the x and y variables are still represented by letters, but m and b are now represented by numbers. A few illustrations of using the slope and intercept from an equation are provided in the following video.To Learn more About slope-intercept form refer to:
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NO LINKS!! Please help me with this problem. Part 1gg
Answer:
Graph A
Step-by-step explanation:
Given piecewise function:
[tex]f(x)=\begin{cases}9+x, \;\;\:\:x\leq3\\x^2+3,\;\;x > 3\end{cases}[/tex]
To graph the given piecewise function:
Draw the line y = 9 + x for the domain (-∞, 3].Draw the curve y = x² + 3 for the domain (3, ∞).The line y = 9 + x is a straight line with a positive gradient.
It crosses the x-axis at (-9, 0) and crosses the y-axis at (0, 9).
Therefore, the only graph that shows the line y = 9 + x is the first graph.
SOLVE FOR N
-np-5=4(c-2)
The solution of the algebraic equation is n = (3-4c)/p
How to solve for N?
An algebraic equation or expression is any equation that contains unknown values, usually represented with alphabets or letter
Given: -np-5=4(c-2)
-np-5 = 4(c-2)
Expand the bracket:
-np-5 = 4c-8
Collect like terms:
-np = 4c-8+5
-np = 4c-3
Divide both sides by -p:
n = -(4c-3)/p
n = (-4c+3)/p = (3-4c)/p
Thus, the solution is n = (3-4c)/p
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he button provides an automatic means of checking for mathematical errors within formulas of a worksheet.
The Error checking button provides an automatic means of checking for mathematical errors within formulas of a worksheet.
The modeling process begins with the framing of a conceptual model that shows the relationships between the various parts of the problem being modeled.
Arrows pointing from the selected cell to cells that depend on the selected cell are generated by using the Trace dependents button of the Formula Auditing group.
nodes in an influence diagram represent part of the model
The Trace Precedents button, located in the Formula Auditing group, creates arrows pointing to the selected cell from cells that are part of the formula in that cell
The Error checking button provides an automatic means of checking for mathematical errors within formulas of a worksheet.
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What is the area of this triangle?
Enter your answer in the box.
units?
Answer:
Below
Step-by-step explanation:
If you turn it sideways and use the y-axis portion as the base (4) , you can see height = 5
Area = 1/2 * b * h = 1/2 * 4 *5 = 10 units^2
Construct a finite-state machine that models an old fashioned soda machine that accepts nickels, dimes, and quarters. The soda machine accepts change until 35 cents has been put in. It gives change back for any amount greater than 35 cents. Then the customer can push buttons to receive either a cola, a root beer, or a ginger ale.
To create a finite-state machine that models an old fashioned soda machine which can perform the stated work we can follow the given steps.
The machine accepts nickels (5 cents), dimes (10 cents) and quarters (25 cents).
Let the states be s , s1 ,s2 ,s3 ,s4 etc.
If we add a nickel to the machine, then the the input is 5 to the current state s , we move them to state s+1 ans so on , and similarly for dime and quarter.
On taking x a the input button for soda pop , we can create the required finite-state machine that models an old fashioned soda machine that accepts nickels, dimes, and quarters.
A finite-state machine (FSM), sometimes known as a finite automaton or simply a state machine, is a mathematical model of computation.
It is an abstract machine that can only be in one of a finite set of states at any one moment. In response to some inputs, the FSM can transition from one state to another; this transition is referred to as a transition. An FSM is defined by a set of states, an initial state, and the inputs that cause each transition.
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In △QRS , point A is between points Q and R, point B is between points R and S, and AB¯¯¯¯¯∥QS¯¯¯¯¯ .
QA=23 cm , QR=41 cm , and RS=123 cm .
What is RB ? HURRY!!!!
Answer:
RB = 54 cm--------------------------------
Since AB and QS are parallel, the segment AB divides QR and SR proportionally.
QR/AR = SR/BRAs QR = QA + AR we get:
41/(41 - 23) = 123/ RB41/18 = 123/RBRB = 123*18/41RB = 54A random sampling of people are asked whether they like comedies or dramatic movies, and whether they prefer to watch them in the theater or at home. The results are in the table.Create a relative frequency table that shows the percentage of comedy lovers that prefer each location and the percentage of drama lovers that prefer each location.
As per the random sampling, the marginal relative frequency for action movies is 44%.
The term sampling refers the process of selecting the group that you will actually collect data from in your research.
Here we have given that a relative frequency table that shows the percentage of comedy lovers that prefer each location and the percentage of drama lovers that prefer each location.
And we need to find the marginal relative frequency of action movies.
While we looking into the given question, we have identified that the joint relative frequency for 8th graders who like comedy movies is 16%. And the half of the 7th graders prefer action movies.
Based on these facts the resulting frequency is 44%.
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noemi strings together x green beads at $0.75 each with 3 blue beads at $0.30 each. she makes a bracelet that averages $0.60 per bead. choose an equation to model the situation.
The equation to model on this situation is :
0.6 = (0.75x + 0.9)/(x + 3)
Noemi makes bracelets averaging $0.60 per bead, so we need to write an equation that models this average bead cost. This can be found by dividing the total bead cost by the number of beads used.
1. The total cost of a bead can be found by multiplying the price of each type of bead by the number used and adding these values together.
So:
Total Cost = 0.75x + 3*0.3
= 0.75x + 0.9
2. Total number of beads = x + 3
3. Thus, the average cost is:
(0.75x + 0.9)/(x + 3)
4. Using the value of the average cost per bead given to us ($0.60), we can now write up the full equation:
0.6 = (0.75x + 0.9)/(x + 3)
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Leon Starr purchased 55 shares of stock at
$41.09 per share. His online stockbroker charged him
a $15.99 commission. What is the total amount that he
paid for the stock?
Total amount paid for the stock:
Answer: $2,275.94
Step-by-step explanation: First, we need to find how much he pays for the stocks alone. So, we would use this equation:
41.09(55)
41.09 x 55
That would get us to $2,259.95. Now, we have to add the $15.99, bc he had to pay a fee. So $2,259.95 + 15.99 = $2,275.94. I hope this helped!
I could really use some help I got 10 mins left on quiz please help
The value of x in the problem is 0
Given that PQR is a straight line
In this problem PQ+QR=PR
The value of PQ is 9
The value of QR is not given but given an equation 2x+3
And QR is x+12
So PQ+QR=PR
9+2x+3=x+12
12+2x=x+12
2x-x=12-12
x=0
Therefore, the value of x in the problem is 0
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Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion. We denote the similarity of triangles here by ‘~’ symbol.
Two triangles are similar if they have the same ratio of corresponding sides and equal pairs of corresponding angles.
If two or more figures have the same shape, but their sizes are different, then such objects are called similar figures. Consider a hula hoop and the wheel of a cycle, the shapes of both these objects are similar to each other as their shapes are the same.
Triangle is a three-sided polygon. The condition for the similarity of triangles is;
i) Corresponding angles of both the triangles are equal, and
ii) Corresponding sides of both the triangles are in proportion to each other.
Properties of the triangle:
1-Both have the same shape but sizes may be different
2-Each pair of corresponding angles are equal
3-The ratio of corresponding sides is the same
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x^2+4x-9=x+1 i have no idea what the answer would be
Answer:
x = 2
Step-by-step explanation:
Simplify both sides of the equation.
[tex]x(2)+4x-9=x+1\\2x+4x+-9=x+1\\(2x+4x)+(-9)=x+1[/tex] (combine like terms)
[tex]6x+-9=x+1\\6x-9=x+1\\[/tex]
subtract x from both sides.
[tex]6x-9-x=x+1-x\\5x-9=1[/tex]
add 9 to both sides.
[tex]5x-9+9=1+9\\5x=10[/tex]
divide both sides by 5
[tex]\frac{5x}{5} =\frac{10}{5} \\x=2[/tex]
A bi-weekly visit to your favorite restaurant. Say on average you spend $25 each visit.
A bi-weekly visit to your favorite restaurant. Say on average you spend $25 each visit.
You will spend an average of $50 a week at this restaurant.
Period:
9) Maria walked 20 miles yesterday. Today she walked 30 miles. What was the percent of increase Maria walked?
10) Pedro goes to 70 % of the basketball teams games. If the basketball team plays 20 games, how many did he go to?
11) Your bill at a restaurant comes to $ 24.00. You want to leave a 15% tip. What is your final bill?
12) Monica wants to buy a bag of Taxis for $13.50. If the store is having a discount of 20% off, how much is she spending?
13) How much interest is earned on $ 100 at 70 % for 9 years?
14) How much interest is earned on a $42 investment at 5 % for three years?
The percent of increase Maria walked if found as the 50%.
Explain the term percent increase?The amount that a percentage has increased over time is expressed as a percent increase.One would need to figure out the difference between the initial value and the final value, subtract to determine the precise sum of the drop, in order to arrive at this amount.The formula for the percentage increase is given as;
Percent increase = Increase / original number x 100
original number = 20 miles
Increase = 30 miles - 20 miles
Increase = 10 miles
So,
Percent increase = 10 / 20 x 100
Percent increase = 50%
Thus, the percent of increase Maria walked if found as the 50%.
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The correct question is-
9) Maria walked 20 miles yesterday. Today she walked 30 miles. What was the percent of increase Maria walked?
what the value of the question
Answer: [tex]14\sqrt 2[/tex]
Step-by-step explanation:
A water tank initially contained 70 liters of water. It is then drained at a constant rate of 2.5 liters per minute.
How many minutes have passed, m, when the tank contains 47 liters? Round to the nearest tenth.
The time taken to drain 23 liter at the rate of 2.5 liters per minute=9 minutes.
What is the concept of pipes and cistern?A cistern is a tank used to hold liquids, usually water, and it contains inlet and outlet pipes so it can fill up or empty itself. A pipe is a segment of a hollow cylindrical object used to transport water from one location to another. The cistern or tank typically has pipes attached to it so that they may be filled and emptied. Part of the tank evacuated in an hour is equal to 1/y if it takes y hours to completely empty it. If a pipe can completely fill and drain a tank in x and y hours, respectively. The net portion of the tank will be filled in one hour when both pipes are opened simultaneously, assuming y>x, by the formula (xy) = (xy) / (y-x).
70 liters of water were initially present in a water tank.
2.5 liters of water were drained every minute.
The tank holds 47 liters before water is added, thus 70-47 =23 liters.
Therefore,23/2.5=9.2 is the time it takes to drain 23 liters at the rate of 2.5 liters per minute.
Taking 2.5 liters per minute to fill a 23liter container takes 9.2minutes.
Water filled in a certain amount of time is equal to the water filling rate in minutes.
Taking 2.5 liters per minute to drain a 23liter container will take 9 minutes.
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Does the point (4, 7) satisfy the equation y = x + 3?
In a storage locker, there are 15 large boxes and 26 small boxes. The large boxes each weigh 24 pounds. The small boxes each weigh 16 pounds. How much do all of the boxes weigh altogether?
Answer:
864
Step-by-step explanation:
What is the possible value of a positive, even integer that's shaped like a 4?
Answer: It's not possible for a positive, even integer to have a specific shape, such as the shape of a 4. This is because integers are abstract mathematical concepts that represent whole numbers and do not have any physical properties, such as shape. Additionally, even integers are simply integers that are divisible by 2, and do not have any specific shape associated with them.
If you're asking about a specific number that has the shape of a 4, such as the number "4" written in a specific way, it's important to note that the value of a number does not depend on its physical appearance. For example, the number 4 written as "4" and the number 4 written as "IV" (the Roman numeral for 4) are both the same number, and have the same value.
-5 is greater than or equal to k-16
Step-by-step explanation:
-5 is greater than or equal to k-16
-5 ≥ k - 16
add 16 to both sides:
-5 + 16 ≥ k - 16 + 16
11 ≥ k
Answer:
Step-by-step explanation:
k-16 is greater then -5.
Use the data{1,1,1,3,3,5,7,7,9,11,13,14} to create a histogram with 5 bins.
The information needs to be divided into class intervals in order to make a histogram. Following that, make a tally to display the frequency (or relative frequency) of the data within each interval.
How do you make a histogram with data?A frequency histogram or a relative frequency histogram can be used to depict data if there are several data points and we want to examine how they are distributed.A histogram resembles a bar chart in appearance, but it displays numerical data. The data must be divided into class intervals in order to make a histogram. Then make a tally to display the frequency (or relative frequency) of the data within each interval. The frequency in a given class divided by the overall number of observations is the relative frequency. The bars are the same width as the class interval and the same height as the frequency (or relative frequency).Histogram Illustration
Jessica has been self-weighing every Saturday for the past 30 weeks. She was weighed in pounds, as shown in the table below.135 137 136 137 138 139
140 139 137 140 142 146
148 145 139 140 142 143
144 143 141 139 137 138
139 136 133 134 132 132
Her weight should be a histogram.
Answer
Usually, we want histograms to have intervals between 5 and 20. With a class of width 2, which will offer us 9 intervals given that the data ranges from 132 to 148, it is practical to have.131.5-133.5
133.5-135.5
135.5-137.5
137.5-139.5
139.5-141.5
141.5-143.5
143.5-145.5
145.5-147.5
147.5-149.5
To eliminate any doubt about whether the end point belongs to the interval to its left or to its right, we chose the end points to be.5, which is why. The endpoint convention specification is a substitute. The left end point, for instance, is included by Minitab but the right end point is not.To Learn more About histogram refer to:
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Marisol needs to purchase AT LEAST 55 party decorations. The Party Palace charges $0.50 per decorative streamer and $0.25 per balloon, including tax. Which combination of streamers and balloons can Marisol purchase with $19.00 at the Party Palace?
The combination of streamers and balloons at the Party Palace will be 21 and 34, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Marisol necessities to buy Somewhere around 55 party enrichments. The Party Castle charges $0.50 per beautiful decoration and $0.25 per expansion, including the charge.
Let 'x' be the number of decorative streamers and 'y' be the number of balloons. Then the equations are given as,
0.50x + 0.25y = 19 ...1
x + y = 55 ...2
From equations 1 and 2, then we have
0.50x + 0.25(55 - x) = 19
0.25x = 5.25
x = 21
The value of y is given as,
21 + y = 55
y = 34
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For a certain musician, his favorite brand of guitar picks is far more likely to chip accidentally (and become useless) than to wear out. He drops by his local music shop to buy another one whenever his pick chips, on average 3 times a year. The shop has 4 picks in stock, in addition to the one he is using. What is the expectation of the time (in months) until he goes to the shop and discovers they will have to order the pick he wants? What is the probability that, 1.5 years from now, he will still have a usable pick without having had to order more?
The probability that, 1.5 years from now, he will still have a usable pick without having had to order more is 0.1898, and the expectation of the time in months is 20 months.
Here, we have to find the standard deviation of time.
T is a random variable denoting the life of the pick chip. Then it will be an exponentially distributed random variable i.e.
[tex]f_{T}[/tex] (t) = λe^(-λt)
[tex]F_{T}[/tex] (t) = 1- λe^(-λt)
Here, given the average to shop is 3 times a year. Then λ = 1/3.
There is a total of 5 picks of chips available.
Total number of picks = 5
Expected time to break 5 picks = 5 x 12/3 = 20 months.
Then T5 denotes the random variable that represents the life of all five chips.
The distribution of T5 = P.
[tex]F_{T}[/tex] (5) = P (T5≤t) = P (T1 + T2 + T3 + T4 + T5 ≤t)
Now, T1 is governed by an exponential distribution. Then the sum of the exponential distribution is the Erlang distribution. Thus, distribution T5 is given by
[tex]f_{T}[/tex] (5) = λ^5 x t^4 x e^(-λt) /T(5)
Mean is given μ = 5λ = 5 x 3 = 15
Then σ = (5λ^2)^1/2 = [tex]\sqrt{5(3)^2}[/tex] = [tex]\sqrt{45}[/tex]
Here, probability has usable picks means 4 available picks have failed.
∵ Life of picks is exponentially distributed, a number of failures of picks that failed in a given time are Poisson distribution.
P (X= x) = (μt)^x . e^(-μt)/x!
Thus μ = 3. So, here the probability have 4 failed after 5 years of
P (x=4) = (3 x 1.5)^4 . e^(-3 x 1.5)/4!
P (x=4) = 0.1898
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21.) Evaluate when
a=-2, b=-4, c=1 for b²-4 a c
Answer:
24
Step-by-step explanation:
Put all the values in given equation and compute.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The table shows a proportional relationship between the number of skeins of yarn and the number of scarves made from the yarn.
Skeins of Yarn 4 8 14
Scarves 2 4 x
A knitter with 14 skeins of yarn can make
scarves.
Based on the provided proportional relationship, 14 skeins of yarn can make 7 scarves.
The data provided shows a proportional relationship between the number of skeins of yarn and the number of scarves made from the yarn. Proportional relationships refer to relationships between two variables where their ratios are equivalent. In order words, in a proportional relationship, one variable is always a constant value times the other. That constant is called the constant of proportionality (k). It is calculated as: k = y/x where y is the variable that changes due to change in x. Based on the information, k = 2/4 = 4/8 = 0.5.
Hence, the number of scarves made using 14 skeins of yarn is given by y = 0.5x. When x = 14, y = 0.5*14 = 7
Note: The question is incomplete. The complete question is attached.
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evaluate the six trigonometric functions at 11pi/3. (give an exact answer, not a decimal approximation.)
The six trigonometric functions at 11π/3 are as follows-
sin (11π/3) = -[tex]\sqrt{3}[/tex]/2
cos (11π/3) = 1/2
tan (11π/3) = -[tex]\sqrt{3}[/tex]
cot (11π/3) = -1/[tex]\sqrt{3}[/tex]
sec (11π/3) = 2
cosec (11π/3) = -2/ [tex]\sqrt{3}[/tex]
Let us evaluate the six trigonometric functions at 11π/3 as follows -
11π/3 can be written as (6π+5π)/3 = 2π + 5π/3.
a. sin (11π/3) = sin (2π + 5π/3)
this angle is greater than or equal to 0 and less than 2π.
= sin (5π/3)
Finding the angle with equivalent trigonometric values in the first quadrant. Also, sin is negative in the 4th quadrant.
= -sin (π/3)
= -[tex]\sqrt{3}[/tex]/2
Hence, sin (11π/3) = -[tex]\sqrt{3}[/tex]/2
b. cos (11π/3) = cos (2π + 5π/3)
this angle is greater than or equal to 0 and less than 2π.
= cos (5π/3)
Finding the angle with equivalent trigonometric values in the first quadrant. Also, cos is positive in the 4th quadrant.
= cos (π/3)
= 1/2
Hence, cos (11π/3) = 1/2
c. tan (11π/3) = tan (2π + 5π/3)
this angle is greater than or equal to 0 and less than 2π.
= tan (5π/3)
Finding the angle with equivalent trigonometric values in the first quadrant. Also, tan is negative in the 4th quadrant.
= -tan (π/3)
= -[tex]\sqrt{3}[/tex]
Hence, tan (11π/3) = -[tex]\sqrt{3}[/tex]
d. cot (11π/3) = 1/ tan (11π/3)
Hence, cot (11π/3) = - 1/ [tex]\sqrt{3}[/tex]
e. sec (11π/3) = 1/ cos (11π/3)
Hence, sec (11π/3) = 2
f. cosec (11π/3) = 1/ sin (11π/3)
Hence, cosec (11π/3) = -2/ [tex]\sqrt{3}[/tex]
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Identify the angular displacement, the angular velocity, and the angular acceleration
of the second hand on a clock over the time interval in which it moves
from the number 12 to the number 6. Provide answers in both degree- and
radian-
based units
Answer:
Angular Displacement: 180° or π radians
Angular Velocity: 3°/sec or 0.0524 radians/sec
Angular Acceleration: 0°/sec^2 or 0 radians/sec^2
Step-by-step explanation:
An inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with major defects prior to using the potatoes to make potato chips. If there is clear evidence that this proportion is less than 0.10, she will accept the shipment. To reach a decision, she will test the hypotheses H0: p = 0.10 versus Ha: p < 0.10. To do so, she selects a simple random sample of 150 potatoes from the more than 3000 potatoes on the truck. Only 8 of the potatoes sampled are found to have major defects. What is the value of the large-sample z statistic?
An inspector inspects large truckloads of potatoes to determine the proportion p in the shipment with major defects prior to using the potatoes to make potato chips. If there is clear evidence that this proportion is less than 0.10, she will accept the shipment. To reach a decision, she will test the hypotheses H0: p = 0.10 versus Ha: p < 0.10. To do so, she selects a simple random sample of 150 potatoes from the more than 3000 potatoes on the truck. Only 8 of the potatoes sampled are found to have major defects. Compute the value of the large-sample z statistic. What is the P-value for this hypothesis test?
P-Value for the hypothesis test will be of z = 1.9065
The P-value for conducting the right-tailed test H0 : μ = 3 versus HA : μ > 3 is the probability that we would observe a test statistic greater than t* = 2.5 if the population mean
μ really were 3. Recall that probability equals the area under the probability curve. The P-value is therefore the area under a tn - 1 = t14 curve and to the right of the test statistic t* = 2.5. It can be shown using statistical software that the P-value is 0.0127
The P-value, 0.0127, tells us it is "unlikely" that we would observe such an extreme test statistic t* in the direction of HA if the null hypothesis were true. Therefore, our initial assumption that the null hypothesis is true must be incorrect. That is, since the P-value, 0.0127, is less than
α
= 0.05, we reject the null hypothesis H0 : μ = 3 in favor of the alternative hypothesis HA : μ > 3.
Note that we would not reject H0 : μ = 3 in favor of HA : μ ≠ 3 if we lowered our willingness to make a Type I error to α = 0.01 instead, as the P-value, 0.0254, is then greater than
α= 1.9065.
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From a hot-air balloon, Violet measures a 24° angle of depression to a landmark
that's 806 feet away, measuring horizontally. What's the balloon's vertical distance
above the ground? Round your answer to the nearest tenth of a foot if necessary.
The balloon's vertical distance above the ground is 358.9 feet.
An angle is said to be that of depression when it is measured downwards with respect to the horizontal plane.
So that applying the appropriate trigonometric function to solve the question, we have;
Tan θ = Opposite side/ Adjacent side
But,
θ = 90 - 24
= 66
θ = [tex]66^{o}[/tex]
Let the vertical distance of the balloon be represented by x.
Tan 66 = 806/ x
x = 806/ Tan 66
= 806/ 2.246
= 358.86
x = 358.9 feet
The balloon's vertical distance above the ground is 358.9 feet.
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Can anyone help?! I have no clue how to do this geometry.
Answer:
Step-by-step explanation:
Angle E = W =119 degree
Angle V = 360-105-59-119
Angle V = 77
As DEFG = VWXY
There for D = V
So angle D = 77
Angle G = 360 -77-59-119
Angle = 105
Answer:
119 degree
Step-by-step explanation:
Any similar polygons have:
1- congruent corresponding angles
2- proportional corresponding sides
Here the question asking about measure of angle E.
The easiest way to find the corresponding angles by comparing the polygons names DEFG and VWXY, the 1st letter in both are D and V, that means these two angles are corresponding and congruent. Same for the 2nd letter in both are E and W, that means angle E is congruent to angle W which is 119 degree.
Done
