Answer:
22
Step-by-step explanation:
The answer is 22. You solve the equation 3x+10=7x-6 like so
3x+10=7x-6
-3 = -3
10= 4x-6
+6 +6
16=4x
x=4
You then plug in the value of x to the equation for LM.
7x-6 becomes 7*4-6 which is 22.
Answer:
x = 32
y = 51
m∠N = 14°
Step-by-step explanation:
Given:
ΔMNP ≅ ΔTUS
By the property of similarity,
MN ≅ TU, NP ≅ US and MP ≅ TS
m∠M = m∠T = 142°,
m∠N = m∠U = (2x - 50)°
m∠P = m∠S = 24°
Since, m∠N = [180°- (m∠M + m∠P)]
(2x - 50) = 180 - (142 + 24)
2x - 50 = 14
2x = 64 ⇒ x = 32
Since, NP = US,
2x - y = 13
2(32) - y = 13
64 - y = 13
y = 51
m∠N = 180° - (142 + 24)°
= 14°
Answer:?
Step-by-step explanation: