Question

Quadrilateral STUV is a rectangle, SU = 2a + 78, and TV = 4a - 10. What is SU?
Step by step solutions

Answer 1

since STUV is a rectangle, its diagonals are congruent. So,
2a+78 = 4a-10
a = 44
so the diagonals have measure 166

Answer 2

1. Given: Quadrilateral STUV is a rectangle, SU = 2a + 78, and TV = 4a - 10.
2. We are asked to find: SU
3. Substitute the given values for SU and TV into the equation:
SU = 2a + 78
TV = 4a - 10
4. Solve for a:
2a + 78 = 4a - 10
2a - 4a = -10 - 78
-2a = -88
a = 44
5. Substitute the value of a into the equation for SU:
SU = 2a + 78
SU = 2(44) + 78
SU = 88 + 78
SU = 166
6. Therefore, SU = 166.