Answer:
x = 13°
Step-by-step explanation:
5x+15°=7x-11°
5x-7x = -11°-15°
-2x = -26° divide both sides by -2
x = 13°
5x+15° = 5×13°+15° = 80°
7x-11° = 7×13° -11°. = 80°
Answer:
150.72 units³
Step-by-step explanation:
The formula for solving the volume of a cylinder is:
V = pi (3.14) r² h
V = (3.14) (4) (3)
V = 150.72 units³
Answer:
1g
Step-by-step explanation:
Answer:
x = 7.5
y = 14
m<1 = 87°
m<7 = 93°
Step-by-step explanation:
Given:
m<2 = (14x - 12),
m<6 = (5y + 23),
m<8 = (8x + 27)
m<2 + m<8 = 180° (consecutive exterior angles are supplementary)
(14x - 12) + (8x + 27) = 180 (substitution)
Solve for x
14x - 12 + 8x + 27 = 180
Collect like terms
22x + 15 = 180
Subtract 15 from each side
22x = 180 - 15
22x = 165
Divide both sides by 22
x = 7.5
m<2 = m<6 (corresponding angles are congruent)
(14x - 12) = (5y + 23) (substitution)
Plug in the value of x
14(7.5) - 12 = 5y + 23
105 - 12 = 5y + 23
93 = 5y + 23
Subtract 23 from each side
93 - 23 = 5y
70 = 5y
Divide both sides by 5
14 = y
y = 14
✅m<1 = m<8 (alternate exterior angles are congruent)
m<1 = (8x + 27) (substitution)
Plug in the value of x
m<1 = 8(7.5) + 27 = 87°
m<7 = m<2 (alternate exterior angles are congruent)
m<7 = (14x - 12) (substitution)
Plug in the value of x
m<7 = 14(7.5) - 12 = 93°
9514 1404 393
Answer:
p = 0
Step-by-step explanation:
The graph is of an exponential function. An exponential function always has a horizontal asymptote of 0.
p(t) = 5×2^t
p(t) → 0 as x → -∞
The horizontal asymptote is p = 0.
