Answer:
X=6
Step-by-step explanation:
5(x+2)=6x+3x−1
<u><em>Step 1: Simplify both sides of the equation.</em></u>
5(x+2)=6x+3x−14
(5)(x)+(5)(2)=6x+3x+−14(Distribute)
5x+10=6x+3x+−14
5x+10=(6x+3x)+(−14)(Combine Like Terms)
5x+10=9x+−14
5x+10=9x−14
<u><em>Step 2: Subtract 9x from both sides.</em></u>
5x+10−9x=9x−14−9x
−4x+10=−14
<u><em>Step 3: Subtract 10 from both sides.</em></u>
−4x+10−10=−14−10
−4x=−24
<u><em>Step 4: Divide both sides by -4.</em></u>
−4x / -4= −24 / −4
x=6
Answer:
x = 8
y = 21
Step-by-step explanation:
(7x + 12)° and (12x - 28)° are alternate interior angles. Alternate interior angles are congruent. Therefore:
(7x + 12)° = (12x - 28)°
Solve for x
7x + 12 = 12x - 28
Collect like terms
7x - 12x = - 12 - 28
-5x = -40
Divide both sides by -5
-5x/-5 = -40/-5
x = 8
(12x - 28)° + (9y - 77)° = 180° (linear pair)
To find y, plug in the value for x = 8.
12(8) - 28 + 9y - 77 = 180
96 - 28 + 9y - 77 = 180
Combine like terms
- 9 + 9y = 180
Add 9 to both sides
-9 + 9y + 9 = 180 + 9
9y = 189
Divide both sides by 9
9y/9 = 189/9
y = 21
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Answer:
The radius of the sphere is 7m
Step-by-step explanation:
Given
Volume of a sphere = 1372π/3 m³
Required
The radius.
The volume of a sphere is calculated using the following formula.
V = 4/3 πr³
Where V = volume of the sphere and r represents it's radius.
By substitution;
1372π/3 = 4/3 πr³
Multiply both sides by 3
1372π = 4πr³
Divide through by 4
343π = πr³
Divide through by π
343 = r³
Take cube root of both sides.
r = 7.
Hence, the radius of the sphere is 7m
Answer:
Group B because the Anglue across front the side is smaller
Step-by-step explanation:
Group A: N 55 degrees
Group B: N 37 degrees
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