Answer:
y = 148°
Step-by-step explanation:
4x - 18 = 2x + 12 (alternate exterior angles are congruent)
Collect like terms
4x - 18 = 2x + 12
4x - 2x = 18 + 12
2x = 20
Divide both sides by 2
x = 10
y = 180 - (2x + 12) (linear pair theorem)
Plug in the value of x
y = 180 - (2(10) + 12)
y = 180 - (20 + 12)
y = 148°
Answer:
n+n/3
Step-by-step explanation:
n+1/3 n=n+n/3=4n/3
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Answer:
x = –3, x = 1, x = 3.5, and x = 5
Step-by-step explanation:
d on edg
Answer:
2x - 5 if x ≤ 2
f(-1) = -7
Step-by-step explanation:
x ≤ 2 = (-1) ≤ 2
x > 2 = (-1) > 2
2x - 5
2(-1) - 5
-2 - 5
-7
Answer:
15.5 ft²
Step-by-step explanation:
The area (A) of a regular polygon is calculated as
A = 
pa ( p is the perimeter and a the apothem )
Here side of regular pentagon is 3 ft, thus
perimeter = 5 × 3 = 15, so
A = 0.5 × 15 × 2.06 ≈ 15.5 ft ( to the nearest tenth )
