The measure of W is 134°, the measure of Y is 46°, and the measure of Z is 134°.What is the measure of X?
a 40°
b 46°
c 134°
d 90°
elisaselmani9 avatar

Answers

Answer 1
Answer: The angles in any quadrilateral must add up to 360 degrees.
A trapezoid is a quadrilateral, because it has four sides.

W+X+Y+Z=360 \n  \n (134)+X+(46)+(134)=360 \n  \n 314+X=360 \n  \n X=46

Angle X is (b) 46 degrees.
Answer 2
Answer: B. 46 because the measure of all of the angles in a quadrilateral is 360. If you add 134+46+134 it equals 314, and 360-314 is 46.
 

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Simplify the expressions. Show your work.
(x+6^2)

Answers

(x+6*6)
x+36

Or 
(x+6)^(2)
=x^(2) +12x+36

Need help with middle two questions... I’ll give points

Answers

Answer:

ok sorry i could not put this into a formula im have to go but i will show you a really easy way.

Step-by-step explanation:

for number 1 i got (7,-1)

This is because there is a slope of 1/1 between these two points. so i plotted the two points on the graph. The distance between the two points is 4. so i followed the slope 4 times and thats what i got.

The correct way for doing number 1 is using the distance formula i believe but im running out of time

for the second one i got  (3, -1/2)

we do this by using the midpoint formula.

The first picture is for number one and the second for number 2

if you have any questions feel free to ask in the comments

If the standard deviation for a data set is equal to 9, then the variance for that data set is equal to___

Answers

81 because standard deviation is equal to the square root of the variance.

Final answer:

In a data set, if the standard deviation is given as 9, the variance would be the square of that which equals to 81.

Explanation:

The standard deviation and variance are closely related in statistics. Standard deviation is the square root of the variance. Therefore, if the standard deviation for a data set is given as 9, then the variance would be the square of that value.

To calculate this, you would do the following:

  1. Take the standard deviation which is 9.
  2. Square the standard deviation: 9*9 = 81.

So, if the standard deviation for a data set is 9, then the variance for that data set is equal to 81.

Learn more about Standard Deviation and Variance here:

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A carpenter purchased 50 ft of redwood and 90 ft of pine for a total cost of $274. A second purchase at the same prices include 80 ft of redwood and 50 ft of pine for a total cost of 335. Find the cost per foot of redwood and of pine

Answers

Answer:

Redwood: $3.50 per foot

Pine: $1.10 per foot

Step-by-step explanation:

The manner that should be approach is by using the substitution method.

Therefore using the information from the question:

50 ft of redwood and 90 ft of pine give a total cost of $274

So we use this information and make a equation using x and y, in this case redwood would be x and pine would be y.

50x + 90y=274

We do this for the second purchase also...

80x+50y=335

Now, we have two equations that are perfect for the usage of the substitution method.

50x + 90y=274

80x+50y=335

Using one equation, in this case the top one, we must solve for either x or y (in this case we solved for y)

90y=274-50x

(90y)/(90) =(274)/(90) -(50x)/(90)

y=(274)/(90) -(50x)/(90)

Using this equation from above we insert this into the other equation that deals with the second purchase and solve for x now.

80x+50((274)/(90) -(50x)/(90))=335

80x+152.2-27.8x=335

80x-27.8x=182.8

(52.2x)/(52.2) =(182.8)/(52.2)

x=3.50

This is the cost of redwood so now we use this answer and plug it in either equation in order to get the cost of pine (y).

50(3.5)+90y=274

175+90y=274

(90y)/(90)=(99)/(90)

y=1.1

So therefore you get the two costs by using the substitution method!

~~~~Best!!!

In a bag of marbles, you have 4 green, 3 yellow, 5 blue, and 8 red marbles. What is the probability of picking a green marble from the bag?a) 3/20
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Answers

4 + 3 + 5 + 8 = 20

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the sides of a triangle have lengths of x, x+5, and 25. if the longest side is 25, which of the following values of x would make the right triangle?

Answers

x^2+5x-300=0 \n \n \Delta =b^2-4ac =5^2 -4*1* (- 300)= 25+1200=1225 \n \nx_(1)=(-b- √(\Delta ) )/(2a)=(-5- √(1225))/(2 )=(-5-35)/(2)=-(-40)/(2)=-20 \n\n \ side \ not \ can \ also \ be \ negative

x_(2)=(-b+ √(\Delta ) )/(2a)=(-5+ √(1225))/(2 )=(-5+35)/(2)=-(30)/(2)=15\n \nAnsewr : \ x= 15




 

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