Two angles of a quadrilateral measure 100° and 190°. The other two angles are in a ratio of
3:4. What are the measures of those two angles?

Elena is covering a distance of 8 miles in one minute.

Given is that Elena's distance and times for a training run are given by the equation → y = 8.5x

Now, if we consider the equation, it can be seen that the number {8.5} gives the unit rate or slope of the graph of the straight line. So, she is running at a speed of 8.5 miles per minute.

Therefore, Elena is running at a speed of 8.5 miles per minute.

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Answer: The animal hopped 60 meters in 10 seconds

6 m/s (lol)

Step-by-step explanation:

First off ok and second off bye <3

Answer:

The slope is 3 or 3/1.

Step-by-step explanation:

I figure this out by finding out the two beginning points with this: (x1, y1) , (x2, y2). The two beginning points (-3, -5) , ( -2,-2). Then from there you are counting by 3 to get to the next point. I hope this helps.

The value of b = 17 and c = 6 makes ΔGHI ≅ ΔZYX.

What is congruence?

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other.

If and only if two angles have equal measurements, they are said to be congruent. If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.

Here, we have

Given the sides of both the triangle and

we have to find the value of b and c that makes ΔGHI ≅ ΔZYX

b = 17 and,

48 = 8c

c = 6

Hence, the value of b = 17 and c = 6 that makes ΔGHI ≅ ΔZYX.

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The average speed of the beetle is 1.53 feet per minute.

Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula S = d/t, where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.

Given that, it moves 23 of a foot in 15 of a minute.

Here, the average speed

= 23/15

= 1.53 feet per minute

Therefore, the average speed of the beetle is 1.53 feet per minute.

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The volume of a cube is 512 m3.

Given,

The one-face area is nothing but the area of a square since it is a cube.

So,  (a2) = 64 m2.

Then, a = 8m

Hence, the side of the cube is 8 m.

Formula to calculate the volume of the cube :

The volume of the cube = a3

Volume = (8)3

Volume = 512m3

Therefore, the volume of the cube is 512m3.

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7.08  is the probability, rounded to the nearest thousandth.

What does the math term "probability" mean?

The simple definition of probability is the likelihood that something will occur.

                   We can discuss the probabilities of various outcomes to determine how likely they are whenever we are uncertain about the result of an event. Statistics describes the examination of events subject to probability.

Probability of getting a six on rolling a dice = 1/3

Here ,

n = 4 , p = 1/3

So, For P(X <= 1) = P(X = 0) + P(x = 1)

4C0 * (1/6)^0 * (1 - 1/3)^(4-0) + 4C1 * (1/3)^1 * (1-1/3)^(4-1)

= 1 * 1 * (5/3)^4 + 4 * (1/3) *

= 5.75 + 1.33

=  7.08

= 7.08 (nearest thousandth)

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By graphing the system of equations, we can see that the solution is (3, 5).

I assume we want to solve the following system of equations graphically:

x - 3y = -12

2x - y = 1

To do so we only need to graph both the lines on the same coordinate axis and find the point where the lines do intersect. The graph can be seen below.

There we can see that the intersection is at (3, 5), so that is the solution of the system of equations.

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The double bar graph collected from the survey is given by the image presented at the end of the answer.

A bar graph shows the number of times that each observation appears in the data-set.

The double bar graph means that for each input on the bar graph, there are going to be two bars.

The meaning of each bar is given as follows:

The colors for each bar are given as follows:

Then the data of the table is used to give the height of each bin in the double bar graph.

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Answer:

5832

Step-by-step explanation:

Answer:

DF=FE

Step-by-step explanation:

first to make it easier we can find the angles to each side

the sum of all angles of a triangle equal 180 degrees so to find x we set all the angles equal to 180

(3x+5)+(4x-15)+(2x+10)=180

9x+0=180

/9.     /9

x=20

now we can find each angle

3(20)+5

60+5

D=65 degrees

4(20)-15

80-15

E= 65 degrees

2(20)+10

40+10

F=50 degrees

Angle D and E are the only angles equal to each other so answer C and d ARE INCORRECT

Since there are 2 of the same angles this is an isosceles triangle

the 2 of the same angles are the base so the side going up are connecting to the top angle F so the sides will be DF and FE and these are equal

hopes this helps

I don't see the picture. Can you send it in the message.

The intercepted arc measures 11.78 to the closest tenth of an inch.

Remember that an arc is a portion of a circle's circumference.

Therefore, an intercepted arc is an arc that is created when one or more chords or line segments intersect a circle and come together at a vertex.

It's vital to keep in mind that the lines or chords can come together inside, outside, or in the center of a circle.

An interrupted arc and the inscribed and central angles of a circle have some intriguing correlations.

An inscribed angle is created in geometry between chords or lines that cut through a circle.

The center angle is a joint created by the intersection of two radii.

According to our question-

angel/360=arc/circumference

85/360=

d= 14 inches

Hence, The intercepted arc measures 11.78 to the closest tenth of an inch.

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The equations that are false for all real numbers of x are given as follows:

To obtain the equations which are false, we have to consider the domain and the range of the functions in this problem.

We start at the first equation, given as follows:

x² + 4 = 0.

Isolating x², we have that:

x² = -4.

However, the range of the function y = x² is composed only by non-negative numbers, meaning that y = x² will never assume a value of -4, meaning that this statement is false for all real numbers.

The same holds true for the third item, which is the square root of x - 1 = -2. The range of the square root function is also composed by non-negative numbers, thus the statement is also false for all real numbers.

The final statement that is false is given as follows:

2(x - 4) = 2x - 4.

Applying the distributive property, we have that:

2x - 8 = 2x - 4

0x = 4

x = 4/0 (division by zero does not exist on the real set).

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Answer: False

Step-by-step explanation:

If [tex]y=0.5[/tex], then [tex]y^2=0.25[/tex], whereas [tex]y=0.5[/tex].

Therefore, this is a counterexample. Hence, the statement is false.

The statistical test which should be run by Dr wade Wilson is independent sample t test.

To ascertain whether there is statistical support that the linked population means are statistically substantially different, the Independent Samples t Test compares the means of two independent groups. An example of a parametric test is the Independent Samples t Test. Additionally called the Independent t Test.

When you wish to compare the means of just two groups—no more, no less—use an independent samples t test! This test is typically used to detect whether two population means differ.

Hence if dr. wade wilson is interested in whether or not people who watch adventure movies actually have quicker reaction times than people who read literary novels then he must use independent sample t test.

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The exponential functions obtained from the details of the question indicates the investment that will eventually have the greatest value is option 2.

An exponential function is a function that has the argument as an index of a constant value.

The details of the two investments are presented as follows;

Option 1; Initial investment = $5

Percentage by which the investment increases every year = 50%

Option 2; Initial investment = $0.01

Amount by which the investment increases every year = The investment doubles every year

Part A;

The investment model in option 1 follows a compound interest pattern, which is an exponential function, therefore;

Amount, A = P·(1 + r)⁽ⁿ⁻¹⁾

Where, P = The principal invested = $5

r = The interest rate = 50% = 0.5

n = The number of years of investment

Therefore, A = 5 × (1 + 0.5)⁽ⁿ⁻¹⁾

The investment pattern of option 2 also follows an exponential function pattern of the form;

aₙ = a·r⁽ⁿ⁻¹⁾

Where;

aₙ = The amount or value of the investment after n years = A

a = The first term = $0.01

r = The common ratio = 2

n = The number of years

Therefore, A = 0.01×2⁽ⁿ⁻¹⁾⁾

Part B

The growth factor of option 1 is 1.5 while the growth factor of option 2 is 2, however the initial value of option 1 makes the amount of option 1 initially larger than the amount from option 2

At the point the value of both investment are the same, we get;

0.01×2⁽ⁿ⁻¹⁾⁾ = 5 × (1 + 0.5)⁽ⁿ⁻¹⁾

Solving indicates, n ≈ 22

Therefore, the value of investment 2 eventually grows to that of investment 1 after 22 years, and based on the equations, surpasses the value of investment 1

The investment that will eventually have the greatest value is investment 2

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The probability that the first card is the ace of hearts = [tex]\frac{17}{52}[/tex]

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Given that,

If three cards are drawn from the deck one at a time

The probability that the first card is the ace of hearts

Let us assume,

Probability of ace = x

Probability of heart = y

Probability of ace drawn is: 4/52

Probability of heart drawn is: 13/52

So.

We can write,

P(ace or heart) = p (ace) + p (heart)

P(x or y) = p (x) + p (y)

Total cards are = 52

If three cards, but we can use first card of probability is,

P(ace or heart) = [tex]\frac{4}{52} +\frac{13}{52}[/tex]

P(ace or heart) = [tex]\frac{17}{52}[/tex]

Therefore,

The probability that the first card is the ace of hearts = [tex]\frac{17}{52}[/tex]

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Answer: infinity

Step-by-step explanation:

The equations which has the same value of x as the given equation; Three-fifths (30 x minus 15) = 72 are;

Since the given equation in the task content is;

Three-fifths (30 x minus 15) = 72

The word phrase can be written algebraically as follows;

3/5 ( 30x - 15 ) = 72

The equation can therefore be solved as follows;

(3/5 × 30x) - (3/5 × 15) = 72

= ( 3 × 6x ) - (3 × 3) = 72

= 3 (6x - 3) = 72............. Equivalent expression.

By the distributive property; we have;

18x - 9 = 72..................... Equivalent expression

And by solving for the value of x; we have;

18x = 81

x = 81 / 18

x = 4.5

On this note, the equations which have the same value for x as; Three-fifths (30 x minus 15) = 72 are;

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Answer:

A. -2, -5, -8, -11, -14, -17, ...

Step-by-step explanation:

The difference between consecutive terms is constant.

The number of boxes of sugar that Alonso can buy are 4.5 boxes.

Given is that Alonso went to the market with $55 to buy eggs and sugar. He knows he needs a package of 12 eggs that costs $2.75. After getting the eggs, he wants to buy as much sugar as he can with his remaining money.

The money remaining after buying 12 eggs : {r} = $(55 -2.75).

Cost of one box of sugar = $11.5

The number of boxes that he can buy are -

n = (55 - 2.75)/11.5

n = 4.5 boxes {approx.}

Therefore, the number of boxes of sugar that Alonso can buy are 4.5 boxes.

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Answer:

y = -3x - 31

Step-by-step explanation:

y = mx + b

[tex] m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]

[tex] m=\frac{5-(-13)}{-12-(-6)} [/tex]

[tex] m=\frac{18}{-6} [/tex]

m = -3

y = -3x + b

-13 = -3(-6) + b

-13 = 18 + b

b = -13 - 18

b = -31

The given statement can be expressed as ~S.

What is a negation of a statement?

A negation of a statement is a statement that is the opposite of the original statement. In other words, a negation of a statement is a statement that is true if and only if the original statement is false, and vice versa.

To express the statement "One does not ski fast" symbolically, we can use the negation symbol

Using the symbol "S to represent the statement "One skis fast", we can express the statement "One does not ski fast" symbolically as:

~S

This can be read as "Not S" or "It is not the case that S."

Hence, the given statement can be expressed as ~S.

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Answer:

What is 213 divided? 2 I think

Also how do you break 23 into tens and ones? It would be 2 tens and then it would be 3 ones

Answer:

number from last year - number of decrease

Step-by-step explanation:

The numbers are missing from the problem, but this is what you need to do.

Start with the number of fish in the pond last year.

Subtract the number of decrease.

The confidence interval approach is the correct method by which to determine sample size. True

Confidence Interval:

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test.

In statistics, confidence is another word for probability. If you create a confidence interval, for instance, with a 95% level of confidence, you can be sure that 95 out of 100 times, the estimate will fall between the upper and lower values indicated by the confidence interval.

Your desired confidence level is usually one minus the alpha (α) value you used in your statistical test:

                    Confidence level = 1 − α

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The cost to Claire for the phones and their service for m months is $350 + $65*m.

The cost to Claire for the two phones is $350, and the cost for the service for m months is $65m, for a total cost of $350 + $65m.

Generally, Claire will pay a total of $350 + $65*m for the two phones and their service for m months.

The total cost for Claire for the two phones and their service for m months is $350 + $65*m.

The cost of the phones and service for m months to Claire is $350 + $65*m.

Claire will pay $350 for the phones and $65m for the service for a total of $350 + $65m for m months.

The cost to Claire for the two phones and their service for m months is $350 + m*$65.

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The missing number is      [tex]\frac{1}{5}[/tex]

Let the missing number be x.

now, [tex]\frac{5x}{7}[/tex] = [tex]\frac{1}{7}[/tex]

on cross multiplying we get,

x= [tex]\frac{7}{35}[/tex]

on simplifying,

x= [tex]\frac{1}{5}[/tex]

Hence, the missing number is      [tex]\frac{1}{5}[/tex]

What is cross multiplying?

An equation involving a variable as a component of two fractions set equal to one another can be solved by cross multiplying. Cross-multiplying lowers the proportion to one straightforward equation, enabling you to solve for the variable in issue. The variable serves as a placeholder for an unknowable number or quantity.

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