Determine the value of x in the figure. Question 1 options: A) x = 90 B) x = 85 C) x = 45 D) x = 135
Answers
Answer:
A.) x=90°
Step-by-step explanation:
Note:
The triangle shown is an isosceles triangle, which means that it has 2 congruent sides (as shown by the small intersecting lines), and this also means that it has two congruent angles.
We are given an angle measure adjacent to one of the missing angles. These two form supplementary angles, which means that they're sum is equal to 180°, or a straight line. So, to find:
[tex]180=135+y[/tex]
y is the unknown angle. Solve for y:
[tex]180-135=y\\\\y=45[/tex]
y is 45°. Since this and the other angle are congruent, add:
[tex]45+45=90[/tex]
Note:
Triangles angles will always add up to a total of 180°.
To find the missing angle x°, use:
[tex]180=a+b+c[/tex]
These are the angles in a triangle. Substitute any known values and solve:
[tex]180=45+45+x\\\\180=90+x\\\\180-90=x\\\\x=90[/tex]
The missing angle x° is 90°.
:Done
Related Questions
What is the nearest 100 of 1730
Answers
Answer:
1700
Step-by-step explanation:
pls thnx and mark me brainliest
Joseph is 33 years old. Five years ago, He was twice as old as Ann. How old will Ann be in 5 years time?
Answers
Answer:
19 years oldStep-by-step explanation:
[tex]Joseph = 33 \:years \:old\\ \\Let \: ann's \:age be x\\\\33-5 = 2x\\\\28 = 2x\\\\Divide \:both \:sides \:of \:the \:equation \: by \:2\\\\\frac{2x}{2} = \frac{28}{2} \\\\x = 14\\\\Ann's \:present \:age \:= 14\\\\In \:5 \:years \:time ; \\\\14+5 = 19\\[/tex]
the coefficient of 6x
Answers
Answer:
The coefficient is 6
Step-by-step explanation:
The coefficient is the number in front of the variable
The variable is x
The coefficient is 6
Answer:
6
Step-by-step explanation: The coefficient of this would be the real number that is in front of a variable that is not a variable like x, and that number is 6. So, the coefficient of 6x is 6.
Find the indicated complement. A certain group of women has a 0.12% rate of red/green color blindness. If a woman is randomly selected, what is the probability that she does not have red/green color blindness?
Answers
Answer:
the probability will be 0.
Step-by-step explanation:
0.12%= 0.0012= 3/2500.
Which expression is equal to (1+6i)−(7+3i) ?
Answers
Answer:
- 6+3iStep-by-step explanation:
[tex](1+6i)-(7+3i) ?\\Group\:the\:real\:part\:and\:the\:imaginary\\\:part\:of\:the\:complex\:number\\\left(a+bi\right)\pm \left(c+di\right)=\left(a\:\pm \:c\right)+\left(b\:\pm \:d\right)i\\=\left(1-7\right)+\left(6-3\right)i\\1-7=-6\\6-3=3\\=-6+3i[/tex]
find the area of this figure to the nearest hundredth. Use 3.14 to approximate pi.
Answers
Answer:
86.28 ft²
Step-by-step explanation:
The figure given consists of a rectangle and a semicircle.
The area of the figure = area of rectangle + area of semicircle
Area of rectangle = [tex] l*w [/tex]
Where,
l = 10 ft
w = 8 ft
[tex] area = l*w = 10*8 = 80 ft^2 [/tex]
Area of semicircle:
Area of semicircle = ½ of area of a circle = ½(πr²)
Where,
π = 3.14
r = ½ of 8 = 4 ft
Area of semi-circle = ½(3.14*4) = 6.28 ft²
Area of the figure = area of rectangle + area of semi-circle = 80 + 6.28 = 86.28 ft² (nearest hundredth)
Answer:
the area of the figrue is 105.12
Step-by-step explanation:
area of rectangle A= l · w10 x 8= 80area of simi-circle= 1/2(3.14 x r²)1/2 x 3.14 x 4²=25.1280+25.12=105.12 (nearest Hundredth)Should I read Fruit's Basket? I need something to keep me busy.
Answers
Answer: Yes
Explanation: Yes because, sometimes you need to do stuff to get things of your head
Which of the following correlation values represents a perfect linear relationship between two quantitative
variables? Select all that apply.
A. 0
B. 9
c. -1
D. 1
E. .5
Answers
Answer:
C. -1
D. 1
Step-by-step explanation:
A perfect linear relationship is indicated by a correlation with a magnitude of 1. The sign of the correlation coefficient is the sign of the slope of the line describing the relationship. It may be positive or negative.
The appropriate choices are ...
C. -1
D. 1
Answer:
c=-1
d=1
Step-by-step explanation:
(G1) The distance from Flagstaff Arizona to
Tucson Arizona is 260 miles. Express this
distance in meters.
A. 418,418 meters
B. 419,000 meters
C. 126,200 meters
D. 260,000 meters
Answers
Answer:
A. 418, 418
Step-by-step explanation:
The formula to convert miles to meters is the following:
1 = 1,609.34
so for every 1 mile, you have 1,609.34 meters
so you take your distance in miles and multiply it by 1,609.34
d= 260 x 1,609.34
d = 418, 428.4
Another trader would like to carry out a hypothesis test about stocks that offer dividends. Why is this hypothesis test right-tailed? Select the correct answer below: This is a right-tailed test because a direction is not specified. This is a right-tailed test because a direction is specified. The population parameter is greater than the specified value. This is a right-tailed test because a direction is specified. The population parameter is less than the specified value. More information is needed.
Answers
Answer:
This is a right-tailed test because a direction is specified. The population parameter is greater than the specified value.
Step-by-step explanation:
The hypothesis testing technique is used to test an assumption regarding population parameter. Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. A right tailed test is where the most of data is in the right side. This is one tailed test where the direction is specified.
Find the measure of A.
A. 50
B. 70
C. 100
D. 90
Answers
Answer:
D
Step-by-step explanation:
I don't know how to eliminate the wrong answers.
Two line segments which have one end at a diameter and the other end meeting at a common point, make a 90 degree angle.
A is made that way, so A is 90 degrees.
Answer:
Step-by-step explanation:
I believe it is 90
A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogram. Assuming the weight loss happened at a constant rate, about how many pounds did the group lose each day?
Answers
Answer:
8.8 pounds
Step-by-step explanation:
Given the following :
Combined weight loss which occurred within a week = 28 kg
Number of days in a week = 7 days
1 kilogram (kg) = 2.2 pounds
Combined weight loss in pounds that occurs within a week:
Weight loss in kg × 2.2
28kg * 2.2 = 61.6 pounds
Assume weight loss occurred at a constant rate :
Weight lost by the group per day :
(Total weight loss / number of days in a week)
(61.6 pounds / 7)
= 8.8 pounds daily
Answer:
88
Step-by-step explanation:
Found the answer and I am doing the quiz rn lel
Find the missing term in the
geometric sequence.
13,[ ? ],208
Answers
Answer:
110.5
Step-by-step explanation:
208=13+(3-1)d
208=13+2d
-13. -13
195=2d
÷2. ÷2
97.5=d. (d means difference)
13(first term)+97.5=110.5
Answer: 676
Step-by-step explanation: r/13=208/r
r²=2704
r=52
13x52=676
Compute each matrix sum or product if it is defined. If an expression is undefined. Explain why. Let A = (3 4 0 -4 -1 4), B = (8 1 -4 -5 2 -4), C = (1 -1 3 1) and D = (3 -2 4 5).
- 2A, B - 2A, AC, CD
Compute the matrix product -2A.
A. -2A =
B. The expression-2A is undefined because A is not a square matrix.
C. The expression-2A is undefined because matrices cannot be multiplied by numbers.
D. The expression 2A is undefined because matrices cannot have negative coefficients.
Answers
Answer:
-2A = (-6, -8, 0, 8, 2, -8)
B - 2A = (2, -7, -4, 3, 4, -12)
AC is undefined.
CD = (3, 2, 12, 5)
Step-by-step explanation:
Given the matrices:
A = (3 4 0 -4 -1 4)
B = (8 1 -4 -5 2 -4)
C = (1 -1 3 1)
D = (3 -2 4 5)
We are required to compute the following
-2A, B - 2A, AC, CD
For -2A:
-2(3 4 0 -4 -1 4)
= (-6, -8, 0, 8, 2, -8)
For B - 2A:
Because B - 2A = B + (-2A), we have:
(8 1 -4 -5 2 -4) + (-6, -8, 0, 8, 2, -8)
(2, -7, -4, 3, 4, -12)
For AC:
(3 4 0 -4 -1 4)(1 -1 3 1)
This is undefined.
For CD:
(1 -1 3 1)(3 -2 4 5)
= (3, 2, 12, 5)
Carla drove her truck 414 miles on 18 gallons of gasoline. How many miles did she drive per gallon?
Answers
Answer:
23 miles per gallon
Step-by-step explanation:
414 miles = 18 gallons
=> 18/18 gallons = 414/18 miles
=> 1 gallon = 23 miles
So, she drove 23 miles per gallon.
What is the value of x for the given equation?
4 – 2(x + 7) = 3(x + 5)
X=
Answers
Answer:
-5
Step-by-step explanation:
A passenger train traveled 180 miles in the same amount of time it took a freight train to travel 120 miles. The rate of the freight train was 15 miles per hour slower than the rate of the passenger train. Find the rate of the passenger train.
Answers
Answer:
The passenger train is moving at 45 miles per hour
Step-by-step explanation:
Let the amount of time it took the two trains to travel the distance = t.
Since the two trains traveled the distance at the same time,
Rate of the passenger train =[tex]\frac{180}{t}[/tex]
Rate of the freight train = [tex]\frac{120}{t}[/tex]
Where t is in hours.
From the problem, we can see that the rate of the freight train was 15 miles per hour slower than the rate of the passenger train. Mathematically, we can represent this as
[tex]\frac{120}{t}= \frac{180}{t}-15[/tex]
from the above equation, we can now get our value for t as
[tex]\frac{120-180}{t}=-15\\\frac{-60}{t}=-15\\t=4 hours[/tex]
We have our time of travel for the two trains as 4 hours.
The rate of the passenger train can now be calculated by 180/4 = 45 miles per hour
1. Determine whether the given procedure results in a binomial distribution. If not, state the reason why.
Rolling a single die 53 times, keeping track of the "fives" rolled.
A) Not binomial: there are too many trials.
B) Not binomial: there are more than two outcomes for each trial.
C) Not binomial: the trials are not independent.
D) Procedure results in a binomial distribution.
2. Determine whether the given procedure results in a binomial distribution. If not, state the reason why.
Spinning a roulette wheel 7 times, keeping track of the winning numbers.
A) Not binomial: there are more than two outcomes for each trial.
B) Procedure results in a binomial distribution.
C) Not binomial: there are too many trials.
D) Not binomial: the trials are not independent.
Answers
1. Not binomial: there are more than two outcomes for each trial.
Thus, option (B) is correct.
2. Procedure results in a binomial distribution.
Thus, option (B) is correct.
1. Not binomial: there are more than two outcomes for each trial.
In a binomial distribution, each trial can have only two outcomes (usually referred to as success and failure).
In this case, the procedure involves rolling a single die 53 times and keeping track of the "fives" rolled.
Since the outcome can be any number from 1 to 6 on each trial, it does not meet the criteria for a binomial distribution.
Thus, option (B) is correct.
2. Procedure results in a binomial distribution.
In this case, the procedure involves spinning a roulette wheel 7 times and keeping track of the winning numbers. The outcome of each trial is either a win or a loss, which satisfies the requirement for a binomial distribution.
Thus, option (B) is correct.
Learn more about Binomial Distribution here:
https://brainly.com/question/29163389
#SPJ6
A cylindrical grain silo, with a flat top, is 30 feet tall and has a radius of 12 feet. It is full to the top with shelled corn. If the density of shelled corn averages 45 pounds/cubic foot, what does the corn in the silo weigh to the nearest pound
Answers
Answer:
610805 pounds
Step-by-step explanation:
The volume of grain in the silo will be calculated as equal to the volume of the cylinder formed by the silo
Height of the silo [tex]l[/tex] = 30 ft
radius of the silo r = 12 ft
volume of a cylinder = [tex]\pi r^{2} l[/tex]
substituting, we have
V = 3.142 x [tex]12^{2}[/tex] x 30 = 13573.44 cubic feet
We know that density ρ = weight/volume
density of the grains in the silo = 45 pound/cubic feet
therefore,
weight of grains = density x volume
weight of grains = 45 x 13573.44 = 610804.8 ≅ 610805 pounds
The Venn diagram shows 3 type numbers odd even in prime
Answers
if the sin 30 = 1/2, then which statement is true?
Answers
Answer:
cos 60° = 1/2 because the angles are complements.
Step-by-step explanation:
Please answer quick!!! Find the range of the data set represented by this box plot.
80
76
40
56
Answers
Answer:
highest value (H)= 80
lowest value (L)= 40
range (R)=?
now using formula,
Range (R)=H-L
=80-40
=40
therefore range (R)=40
Two faces of a six-sided die are painted red, two are painted blue, and two are painted yellow. The die is rolled three times, and the colors that appear face up on the first, second, and third rolls are recorded. (a) Find the probability of the event that exactly one of the colors that appears face up is red.
Answers
Answer:
12/27
Step-by-step explanation:
Step 1
We find all the total number of possible outcomes of rolling two faces of a six-sided die are painted red, two are painted blue, and two are painted yellow.
Where
R = Red
B = Blue
Y = Yellow
RRR, BBB, YYY, RBY, RYB, YBR, YRB, BRY, BYR, BBY, BBR, YYB, RRY, RRB, BYB, BRB, YRY, YBY, RYR, RBR,YRR, BRR, RBB, RYY, BYY,YBB, YYR
We have 27 Total outcomes for this 6 faced die
Step 2
The event that exactly one of the colors that appears face up is red.
RBY, RYB, YBR, YRB, RBB, RYY, BBR,
BRB, BRY, YRY, BYR, YYR
Total number of Possible outcomes where EXACTLY one of the colours that appears face up is red = 12
The probability of the event that exactly one of the colors that appears face up is red = Number of possible outcomes/ Total number of outcomes
= 12/27
What are the slope and y-intercept of the equation 2x - 5y = -10?
Answers
Answer:
Step-by-step explanation:
y=2/5x+2
x= 5/2y-5
hopefully this works
What is the measure of FEG?
A. 30 degrees
B. 40 degrees
C. 50 degrees
D. 70 degrees
Please include ALL work!! <3
Answers
Answer:
C. 50 degrees
Step-by-step explanation:
Because 6x + 5x = 110° and x = 10
5×10 = FEG 50°
Find the total amount in the compound interest account.
$10000 is compounded semiannually at a rate of 9% for 22 years.
(Round to the nearest cent.)
Answers
Answer:
$69,361.23
Step-by-step explanation:
[tex] A = P(1 + \dfrac{r}{n})^{nt} [/tex]
[tex] A = 10000(1 + \dfrac{0.09}{2})^{2 \times 22} [/tex]
[tex]A = 10000(1.045)^{44}[/tex]
[tex] A = 69361.23 [/tex]
Answer: $69,361.23
algebra pyramid please answer !! be the first to be marked as a brainliest .
Answers
Answer:
The first pyramid:
63x
39x 24x
23x 16x 8x
The second pyramid:
162x
82x 80x
4x 78x 2x
The third pyramid:
12a+2b
9a+b 3a+b
9a b 3a
The fourth pyramid:
-19a
-5a -14a
3a -8a -6a
Step-by-step explanation:
All that an alegbra pyramid is is adding the two terms below it.
So you can see how I added the terms that lied below each number, such as in number 1: I added 23x and 16x to get me 39x, and I added 16x and 8x to get me 24.
Hope this helped!
Factor completely 6x - 18.
6(x + 3)
6(x-3)
6X (-18)
Prime
Answers
Answer:
6(x-3)
Step-by-step explanation:
the common number for 6 and 18 is 6 so if you extract that from the expression then it turns to 6(x-3) which cannot be factored further
Answer:
Option B: 6(x - 3)
Step-by-step explanation:
Complete the table for the given rule.
Rule: y = 6x – 4
х. Y
1
3
10
Answers
Answer:
a y = 2
b.y = 14
c. y =56
Step-by-step explanation:
a .6 (1)- 4=2
y=2
b. 6 (3)- 4
=18-4
y=14
c. 6 (10) - 4
= 60 - 4 =56
A paint machine dispenses dye into paint cans to create different shades of paint. The amount of dye dispensed into a can is known to have a normal distribution with a mean of 5 milliliters (ml) and a standard deviation of 0.4 ml. Answer the following questions based on this information. Find the dye amount that represents the 9th percentile of the distribution.
Answers
Answer:
4.464 ml
Step-by-step explanation:
Given that:
mean (μ) = 5 mm, standard deviation (σ) = 0.4 ml
The z score is a score in statistics used to determine by how many standard deviation the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if the z score is negative then the raw score is below the mean It is given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
From the normal distribution table, the 9th percentile (0.09) corresponds to a z score of -1.34
[tex]z=\frac{x-\mu}{\sigma}\\\\-1.34=\frac{x-5}{0.4}\\\\x-5=-0.536\\\\x=5-0.536\\\\x=4.464[/tex]
The dye amount that represents the 9th percentile of the distribution is 4.464 ml
