Answer:
m<R = 65
Step-by-step explanation:
m<R + m<S + m<T = 180° (sum of interior angles in a triangle)
(5x - 11) + (3x - 3) + (3x + 18) = 180°
Solve for x.
5x - 11 + 3x - 3 + 3x + 18 = 180
Add like terms
11x + 4 = 180
11x = 180 - 4
11x = 176
x = 16
m<R = (5x - 11)
Plug in the value of x
m<R = 5(13) - 11
m<R = 65
Answer:
12
Step-by-step explanation:
Answer: 25 < P < 36
15/4 < w < 26/4
35/4 < L < 46/4
<u>Step-by-step explanation:</u>
Perimeter is BETWEEN 25 and 36
25 < P < 36
Graph: O--------------O
25 36
Perimeter = 2L + 2w ; substitute L = w + 5
25 < 2(w + 5) + 2w < 36
25 < 2w + 10 + 2w < 36
25 < 4w + 10 < 36
15 < 4w < 26
< w < 
< w < 
Graph: O------------------------O

Perimeter = 2L + 2w ; L = w + 5 --> w = L - 5
25 < 2L + 2(L - 5) < 36
25 < 2L + 2L - 10 < 36
25 < 4L - 10 < 36
35 < 4L < 46
< L < 
< L < 
Graph: O------------------------O

Note: Make sure you use OPEN dots when graphing.
Answer:
x=6
Step-by-step explanation: