Answer:
a) m∠6 = 55 and m∠8= 55 - 20 --> m∠8= 35 x = 55
b) m∠7 = 40 and m∠9 = 140 x = 40
c) m∠8 = 46 and m∠7 = 46 x = 18
d) m∠6 = 63 and m∠7 = 27 x = 9
(just like the note says at the top each one is a different problem hence the different answer or each angle even if its the same one)
Step-by-step explanation:
I've attached my work
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Look on the app socratic.
X= 6
5x-10 = 20
5x=20+10
5x=30
x= 6
Answer: 15 units
Step-by-step explanation:
Given
The endpoints of the line segment are 
The length of the line segment is given by the distance formula i.e.

Insert the values,

Therefore, the length of line segment TU is 15 units
Answer:
The width measures 2.5 cm
Step-by-step explanation:
Area of triangle = Area of rectangle
1/2 bh = wh
1/2(5)(6) = w(6)
1/2(30) = 6w
15 = 6w
15 ÷ 6 = w
2.5 = w