Answer:
Answer:
28+66+86=180
180=180
Step-by-step explanation:
Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°
Write the equation
\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}
x+(2x+10)+(3x+2)=180
Simplify left side of the equation
\begin{gathered}6x+12=180\\\end{gathered}
6x+12=180
Solve equation for x
\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}
6x=180−12
6x=168
x=28
Replace x into the 3 angles and find their respectives values
\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}
A=x
A=28
B=2x+10
B=2∗28+10
B=56+10
B=66
C=3x+2
C=84+2
C=86
Check if the answers are correct
\begin{gathered}28+66+86=180\\180=180\end{gathered}
28+66+86=180
180=180
PLEASE MARK ME AS BRAINLIEST
Answer:
Perimeter = (Length x 2) + (Width x 2)
27.5 = (9 x 2) + (Width x 2)
27.5 = 18 + (Width x 2)
9.5 = (Width x 2)
4.75 = Width
check:
27.5 = (9 x 2) + (4.75 x 2)
27.5 = 18 + 9.5
27.5 = 27.5
Since the width is 4.75 and the length is 9, we can multiply the two to get the area. 4.75 x 9 = 42.75 sq. ft.
Answer:
$ 1250
Step-by-step explanation:
output = 50 units per day
average total cost = $ 60
total cost = output × average total cost =50 × 60 = $ 3000
total variable cost = output × average variable cost = 35 × 50 = $ 1750
total cost = total fixed cost + total variable cost
total fixed cost = total cost - total variable cost = $ 3000 - $ 1750 = $ 1250
42°
Step-by-step explanation:
(Angles in linear pair)
(Angle sum postulate of a triangle)
(corresponding angles)
(vertical angles)
For a problem 1 the answer is 3×6+6×9.
for a problem 3 the answer is 9×10+8×7
for problem 4 the answer is 4×8+8×4+8×4.
