log₇ (50) - log₇ (5) = log₇ (50 ÷ 5)
log₇ () = log₇ (10)
Answer: C
Answer:
x = 20,
y = 15
m<1 = 75°
m<2 = 75°
m<3 = 75°
m<4 = 105°
Step-by-step explanation:
m<1 = 3x + 15
m<2 = 4x - 5
m<3 = 5y
✔️m<1 = m<2 (corresponding angles are congruent)
3x + 15 = 4x - 5 (substitution)
Collect like terms
3x - 4x = -15 - 5
-x = -20
Divide both sides by -1
x = 20
✔️m<3 = m<2 (corresponding angles are congruent)
5y = 4x - 5 (substitution)
Plug in the value of x and solve for y
5y = 4(20) - 5
5y = 80 - 5
5y = 75
5y/5 = 75/5
y = 15
✔️Find the measure of each labelled angle:
x = 20, y = 15
Thus:
m<1 = 3x + 15 = 3(20) + 15
m<1 = 75°
m<2 = 4x - 5 = 4(20) - 5
m<2 = 75°
m<3 = 5y = 5(15)
m<3 = 75°
m<4 + m<3 = 180° (same side interior angles are supplementary)
m<4 + 75° = 180° (substitution)
m<4 = 180° - 75° (subtraction property of equality)
m<4 = 105°
Answer:
36%
Step-by-step explanation:
Benjamin = 4 / 25 = 0.16 = 16%
Sahil = 12 / 25 = 0.48 = 48%
Maria = 9 / 25 = 0.36 = 36%
Answer:
24
Step-by-step explanation:
8= 8, 16 ,24 , 32 , 40, 48, 56, 64, 72, 80
6= 6, 12, 18, 24, 30, 36, 42, 48, 54, 50
Consider this option:
if given 2x³+5x²-8x-20 ,then it is possible to make up two groups:
(2x³-8x) and (5x²-20).
2x³+5x²-8x-20=(2x³-8x)+(5x²-20)=2x(x²-4)+5(x²-4)=(x²-4)(2x+5).
Then it is possible to re-write (x²-4) as ((x+2)(x-2)):
(x²-4)(2x+5)=(x+2)(x-2)(2x+5).
answer: (x+2)(x-2)(2x+5)