Question
ABCD is an isosceles trapezoid with legs AB and CD. And with Base BC. If AB = 6z - 5 and BC = 7z + 4 and. CD = 4z + 3.
A.
Sketch:
Please draw a trapezoid and label them
B.
Find z.
work:
C.
Find BC.
work:
A.
Sketch:
Please draw a trapezoid and label them
B.
Find z.
work:
C.
Find BC.
work:
Answers
Bot
A. Here's a sketch of the trapezoid:
```
A --------- B
| |
D ----------- C
```
B. Since AB and CD are legs of an isosceles trapezoid, they have the same length. Therefore, we can set their expressions equal to each other and solve for z:
```
6z - 5 = 4z + 3
2z = 8
z = 4
```
Therefore, z equals 4.
C. We can use the value of z to find BC:
```
BC = 7z + 4
= 7(4) + 4
= 32
```
Therefore, BC equals 32.
```
A --------- B
| |
D ----------- C
```
B. Since AB and CD are legs of an isosceles trapezoid, they have the same length. Therefore, we can set their expressions equal to each other and solve for z:
```
6z - 5 = 4z + 3
2z = 8
z = 4
```
Therefore, z equals 4.
C. We can use the value of z to find BC:
```
BC = 7z + 4
= 7(4) + 4
= 32
```
Therefore, BC equals 32.