Step-by-step explanation:
m<G = 180-90-37= 53°
measure of DG = 5*1.5= 7.5
Answer:
x = 3.25
y =4.75
Step-by-step explanation:
In order to Solve the following system of equations below algebraically using substitution method we say that;
let;
8x - 4y = 7
..................... equation 1
x + y = 8.......................... equation 2
from equation2
x + y = 8.......................... equation 2
x = 8 - y.............................. equation 3
substitute for x in equation 1
8x - 4y = 7
..................... equation 1
8(8-y) - 4y = 7
64-8y-4y=7
64-12y=7
collect the like terms
64-7 = 12y
57= 12y
divide both sides by the coefficient of y which is 12
57/12 = 12y/12
4.75 = y
y =4.75
put y = 4.75 in equation 3
x = 8 - y.............................. equation 3
x = 8 -4.75
x = 3.25
to check if your answer is correct, put the value of x and y in either equation 1 or 2
from equation 2
x + y = 8.......................... equation 2
3.25 + 4.75 =8
8=8.................... proved
r = √(3V/πh)
multiply both sides by 3 to eliminate the fraction
πr²h = 3V ( divide both sides by πh )
r² = 3V/ πh ( take the square root of both sides )
r = √(3V/πh)
Answer:
ans - all the snow would been removed ....bcause 4 *2.5 is 10
Answer:
Step-by-step explanation:
Width = 5v - 4w
Length = 3v + 7w
Perimeter = 2*(length + width)
= 2* (3v + 7w + 5v - 4w)
= 2* (3v + 5v + <u>7w - 4w)</u> {Combine like terms}
= 2* (8v + <u> 3w)</u>
= 2*8v + 2*3w
= 16v + 6w
