Answer:v = 9
Step-by-step explanation:
Simplifying
2(3v + 8) = 70
Reorder the terms:
2(8 + 3v) = 70
(8 * 2 + 3v * 2) = 70
(16 + 6v) = 70
Solving
16 + 6v = 70
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '-16' to each side of the equation.
16 + -16 + 6v = 70 + -16
Combine like terms: 16 + -16 = 0
0 + 6v = 70 + -16
6v = 70 + -16
Combine like terms: 70 + -16 = 54
6v = 54
Divide each side by '6'.
v = 9
Hi there!

∠C = 40° and triangle ABC is isosceles, therefore:
∠C = ∠A = 40°
Angles in a triangle sum up to 180°, so:
180 = 40 + 40 + ∠A
180 = 80 + ∠A
100 = ∠A
Thus, arc CB has a measure of 100°.
<span>12^3 = 1728
and
14^3 = 2744
First, let's reduce the range of numbers to check. The cube root of 1000 is 10 and the cube root of 3000 is 14.4225. So we need to look at the numbers 11, 12, 13, and 14. Not looking at 10 since the question states "BETWEEN 1000 and 3000". Now the only way you're going to get an odd number when multiplying 2 numbers is if both numbers are odd. And since we're looking for perfect cubes, that would imply that we're cubing an even number. So the answers will be
12^3 = 1728
and
14^3 = 2744</span>
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Answer:
12
Step-by-step explanation:
2/3 x + x = 20
2/3 x + 3/3x = 20
5/3 x = 20 ... times 3/5 both sides
x = 12
check: 2/3 x 12 + 12 = 8 + 12 = 20