Answer:
x = 45°
Step-by-step explanation:
We can tell that "x + 115" and 160° are vertically opposite angles, which means that they are equal. (Refer to image)
⇒ x + 115 = 160
⇒ x = 160 - 115
⇒ x = 45°
Learn more about vertically opposite angles: brainly.com/question/68367
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Answer:7feet
Step-by-step explanation:
perimeter(p)=54ft
Width(w) +13=Length(L)
Perimeter=2xLength+2xwidth
P=2xL+2xw
L=w+13
54=2(w+13)+2w
54=2w+26+2w
Collect like terms
54-26=2w+2w
28=4w
Divide both sides by 4
28/4=4w/4
7=w
Width =7feet
Answer:
2d +18
Step-by-step explanation:
use distributive property:
a(b+c)
= ab+ac
Answer:
Step-by-step explanation:
L = 3*w + 1 Given
P = 2*(L + w) Formula for Perimeter. Substitute for L
P = 2*(3w + 1 + w) Combine
P = 2*(4w + 1)
P = 58 Given
58 = 8w + 2 Remove the brackets
58 - 2 = 8w Subtract 2
56 = 8*w Divide by 8
56/8 = w
7 = w
================
Find L
L = 3*w + 1
L = 3*7 + 1
L = 22
================
Check
2L + 2W = 58
2*22 + 2*7 =? 58
44 + 14 = ? 58
58 = 58
The answer checks.
