X=12, y=7.5
Here is an explanation if you want to know how to do it:
First, look at the diagram and think about what you know so far. Since the lines are parallel, 5x+4y and 12y must be equal. We also know that there is a right angle, so since both angles are equal, 12y=90 and 5x+4y=90.
Solve for y by dividing 90 by 12 to get 7.5, so y=7.5. Sub in this value to the equation on top and you should get 5x+4(7.5)=90 4(7.5)=30, so subtract that from 90 to get 60 and divide 60 by 5 to get 12, so x=12.
Answer:
x = - 8
Step-by-step explanation:
Calculate m using the slope formula and equate, since parallel lines have equal slopes.
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 5) and (x₂, y₂ ) = (x, - 13)
m = = and equating
= ( cross- multiply )
9(x + 4) = - 36 ( divide both sides by 9 )
x + 4 = - 4 ( subtract 4 from both sides )
x = - 8
Set it up into ratio or proportion
8/50 :: x/60
Answer:
8.49 inches
Step-by-step explanation:
x^2 + 7^2 = 11^2
x^2 + 49 = 121
X^2 = 121 - 49
x^2 = 72 (then take square root on both sides)
x = 8.49 inches