Find the lengths of the diagonals of rectangle WXYZ where WY = - 2x + 34 and XZ = 3x - 26.
1 answer:
Answer:
The measure of the diagonals are 10 units each.
Step-by-step explanation:
The diagonals of a rectangle are always equal (Refer to image).
⇒ -2x + 34 = 3x - 26
⇒ -2x + 60 = 3x
⇒ 60 = 5x
⇒ 60/5 = 5x/5
⇒ 12 = x
Now, let's substitute the value of x into any diagonal.
⇒ -2x + 34 = WY
⇒ -2(12) + 34 = WY
⇒ -24 + 34 = WY
⇒ 10 units = WY
Thus, the measure of the diagonals are 10 units each.
You might be interested in
Answer:
x = 42
Step-by-step explanation:
The angle between the tangent and the secant is
difference of the measure of the intercepted arcs, that is
x = 0.5( 136 - 52) = 0.5 × 84 = 42