FInd WY Given: Giving

Answers:

Explanation:

The tickmarks show that WZ and XY are the same length. The arrows show that WX is parallel to ZY. This is an isosceles trapezoid.

For any isosceles trapezoid like this, the diagonals are the same length. We can prove it using the SAS congruence theorem.

So,

WY = XZ

15x-2 = 9x+10

15x-9x = 10+2

6x = 12

x = 12/6

x = 2 first answer

Use that value of x to find the length of each diagonal.

Both diagonals are 28 units long, which helps confirm we have the right x value.

x=2

WY=28

Step-by-step explanation:

WY=XZ

15x-2=9x+10

add 2 by both sides

15x=9x+12

subtract 9x by both sides

6x=12

divide both sides by 6 to isolate x

x=2

plug in 2 for x in 15x-2

WY=15(2)-2

WY=30-2

WY=28

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

45.36 feet per second

step-by-step explanation:

tyrone travels 30 miles in 58.2 minutes.  

1 mile = 5280 feet; this means he travels

30(5280) = 158400 feet in 58.2 minutes.

1 minute = 60 seconds; this means he travels 158400 feet in

58.2(60) = 3492 seconds.

this gives us the unit rate of

158400/3492 = 45.36 feet per second.