Answer:
x = 42
Step-by-step explanation:
The marked angles are supplementary, so their sum is 180°.
(2x +8) +(2x +4) = 180
4x +12 = 180 . . . . . . . . . simplify
x +3 = 45 . . . . . . . divide by 4 (because we can)
x = 42 . . . . . . subtract 3
_____
<em>Additional comment</em>
A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.
Answer:
10%
Step-by-step explanation:
We know Perimeter of rectangle
= 2 (Length + Width)
If width and length are increased by 10%
New length= L + 10/100L = (1.1) L
New width = W + 10/100W = (1.1) W
Perimeter = 2 [(1.1) L + (1.1) W]
Perimeter = 2 (1.1) (L + W)
Perimeter = (2.2) (L + W)
Increase in perimeter = 2.2 (L + W) - 2 (L + W)
The increase in Perimeter = 0.2 (L + W)
Percent increase
= 0.2 (L + W)/2 (L + W) × 100
= 0.2/2 × 100
= 0.1 × 100
= 10%
I hope this helped and if it did, please mark as Brainliest.
Answer:2284
Step-by-step explanation:
Answer:
75in^2
Step-by-step explanation:
5×5×4/2=50
5×5=25
50+25=75
Lets name the largest number as x
smallest number is half the largest , therefore its x/2 = 0.5x
then middle number is 3/4 the largest , therefore its 3/4x = 0.75x
the sum of the three numbers are 162
the three numbers added are
x + 0.5x + 0.75x = 162
2.25 x = 162
x = 72
the largest number is 72
then middle number 0.75 x = 0.75 x 72 = 54
smallest number is 0.5x = 0.5 x 72 = 36
answer is - 36,54,72
