Answer:
∠LMN = 167°
Step-by-step explanation:
∠LMT = 23°
∠TMN = 144°
∠LMN = ∠LMT + ∠TMN
∠LMN = 23° + 144°
∠LMN = 167°
Answer:
Lateral surface area of pentagonal prism = 750 cm²
Step-by-step explanation:
Given information:
Height of pentagonal prism = 15 cm
Length of edge = 10 cm
Length of apothem = 16.8 cm
Find:
Lateral surface area of pentagonal prism
Computation:
Lateral surface area of pentagonal prism = 5(a)(h)
Lateral surface area of pentagonal prism = 5(10)(15)
Lateral surface area of pentagonal prism = 750 cm²
Answer: on the number line put -1.50 (1 and a half (1 1/2))
Step-by-step explanation:
$1.50 more than his account is $200.
the balance should be $-1.50
on the number line put -1.50
Answer:
82 degrees
let the point where the lines cross be E
ABD angle is 108 / 2 = 54 degrees
CAB angle is 56 / 2 = 28 degrees
the missing angle in ABE triangle is 180-54-28=98 degrees. angle x is 180 - 98 = 82
<span>regular pentagon sum of interior = (5 - 2) x 180 = 3 x 180 = 540
so
x = 540 / 5 = 108
180 - 108 = 72
y = 72/2 = 36
z = 180 - 90 - 36
z = 54
answer
x = 108, y = 36 and z = 54</span>