Answer:
- 78.33°
- 71°
Step-by-step explanation:
1) The sum of angles in a triangle is 180°, so ...
(x +3)° +(x +24)° +(x -10)° = 180°
3x +17 = 180 . . . . . . . . divide by °, collect terms
3x = 163 . . . . . . . . . . . .subtract 17
x = 54 1/3 . . . . . . . . . . .divide by 3
m∠B = (x +24)° = (54 1/3 + 24)°
m∠B ≈ 78.33°
__
2) An exterior angle is equal to the sum of the opposite interior angles.
m∠ACD = m∠A + m∠B
(3x -10)° = (x +9)° + 105°
2x = 124 . . . . . . . . . . . . . . divide by °, add 10-x to both sides
x = 62 . . . . . . . . . . . . . . . . divide by 2
m∠A = (x +9)° = (62 +9)°
m∠A = 71°
Answer:
3
Step-by-step explanation:
Step 1: Define
f(x) = 6ˣ - 4x
g(x) = 1/2x + 10
f(2) is x = 2
g(-2) is x = -2
Step 2: Find f(2) and g(-2)
f(2) = 6² - 4(6)
f(2) = 36 - 24
f(2) = 12
g(-2) = 1/2(-2) + 10
g(-2) = -1 + 10
g(-2) = 9
Step 3: Find f(2) - g(-2)
12 - 9 = 3
Answer:
The life of Black soldiers was very hard as they have to face racism in the army units.
Step-by-step explanation:
Although the life of soldiers during the civil war was not easy, now imagine the black soldiers who were fighting many wars every day. The emancipation proclamation by Linclon allowed blacks to join the Union army. Following the outbreak of the Civil War, abolitionists such as Frederick Douglass argued that enlisting black soldiers would aid the North to win the war. But Balck soldiers faced discrimination in the army camps. They received lower pay than their white counterparts. Most Union officers believed that black soldiers were not as qualified or as courageous as white soldiers.
The centroid is 1/3 the distance from any side to the opposite vertex (along the median). That is, the centroid divides the median into parts with the ratio (1/3):(2/3) = 1:2. Then QE = (1/2)AQ, so
... QE = (1/2)·18 = 9 . . . . matches selection C.
The area of a lateral area of the cylinder is L.S.A. and =
<span>
i cant use the pie symbol on here </span>