Answer:
x = 5
Step-by-step explanation:
x + 5 = 
{Midpoint theorem}
2(x+ 5) = x² - x
2x + 10 = x² - x
x² - x - 2x - 10 = 0
x² - 3x - 10 = 0
x² - 5x + 2x - (5*2) = 0
x(x - 5) + 2(x - 5) = 0
(x -5)(x + 2) = 0
{x + 2 is ignored because measurement could not be in negative value}
x - 5 = 0
x = 5
Answer:
Right, obtuse, and isosceles. (B, D, E)
1. distribute the parentheses.
-3=12y-10y+35
2. Move the constants to the other side
-3-35=12y-10y
3. Subtract the terms
-38=2y
4. Divide by 2 to get y by itself
y=-19
Answer:
20 units
Step-by-step explanation:
The perimeter of a rectangle is
P = 2(l+w)
P = 2( 3x+2 + 4x)
Adding like terms
P = 2( 7x+2)
We know the perimeter is 74 units
74 = 2 ( 7x+2)
Divide by 2
74/2 = 2/2 (7x+2)
37 = 7x+2
Subtract 2 from each side
37-2 = 7x+2-2
35 = 7x
Divide by 7
35/7 = 7x/7
5 =x
We want to find the length RS = PQ = 4x
RS = 4x = 4*5 = 20
