Things to remember the sum of the measures of the interior and exterior angles at each vertex is 180 (supplementary angles)
add and equal to 180
3x-5+5x+17= 180
8x+12=180
8x= 168
x=21
substitute in the algebraic expression for exterior angle
3(21) -5=
63-5=58
58 degrees is the exterior angle
hope this helps
The area of the parallelogram is given by:
A = b * h
Where,
b: base
h: height
Substituting values we have:
A = (16.5) * (6)
A = 99 feet ^ 2
The number of packages will be:
N = 99/5
N = 19.8
Rounding:
N = 20
Answer:
It will be needed 20 packages of tile to tile the music room floor
Answer:
n = 4
Step-by-step explanation:
Given
10n + 2 = 7n + 14
Collect terms in n on the left side and numbers on the right side
Subtract 7n from both sides
3n + 2 = 14 ( subtract 2 from both sides )
3n = 12 ( divide both sides by 3 )
n = 4
9514 1404 393
Answer:
Step-by-step explanation:
Arc DV is 100°, so any inscribed angle that intercepts that arc will have a measure that is half of 100°, or 50°.
Inscribed angles DCV and VBD both intercept arc DV, so both are 50°.
Answer: Each peice of wood is equal to 0.625
Step-by-step explanation:
15/2 = 7.5
7.5/12 = 0.625