220,473 views
44 votes
44 votes
Find the measurement indicated in each parallelogram.

Find the measurement indicated in each parallelogram.-example-1
User Nhgrif
by
2.8k points

1 Answer

13 votes
13 votes

Answer:

15. UA = 24

16. QW = 9

Explanation:

15. since UA = AS, we put an equal sign in between both equations

3x+3=4x−4

Step 1: Subtract 4x from both sides.

3x+3−4x=4x−4−4x

−x+3=−4

Step 2: Subtract 3 from both sides.

−x+3−3=−4−3

−x=−7

Step 3: Divide both sides by -1.

-x/-1 = -7/-1

x = 7

To find UA, we substitute x to 7

UA = 3x + 3

UA = 3(7) + 3

(3)(7)+3

=21+3

=24

UA = 24

To find AS

AS = 4x - 4

AS = 4(7) - 4

(4)(7)−4

=28−4

=24

AS = 24

16. 2x - 1 = x - 4

Step 1: Subtract x from both sides.

2x−1−x=x+4−x

x−1=4

Step 2: Add 1 to both sides.

x−1+1=4+1

x=5

Answer:

x=5

To find QW

QW = 2x - 1

QW = 2(5) - 1

2(5) - 1

= 10 - 1

= 9

QW = 9

To find WS

WS = x + 4

WS = 5 + 4

5 + 4

= 9

WS = 9