An complementary angle = 90°
one of the angles is twice as large as the smaller one
let the larger angle be x, and the smaller = y
x = 2(y)
x + y = 90
Plug in 2y for x
2y + y = 90
simplify, combine like terms
2y + y = 90
3y = 90
isolate the y, divide 3 from both sides
3y/3 = 90/3
y = 90/3
y = 30
plug in 30 for y in the equation x + y = 90
x + (30) = 90
isolate the x, subtract 30 from both sides
x + 30 (-30) = 90 (-30)
x = 90 - 30
x = 60°
The measurement of the larger angle is 60°
hope this helps
Answer:
y + 4 = 2(x - 2)
Step-by-step explanation:
There is an infinite number of possible equation that satisfies this requirement. If the y = -4 when x = 2 in the equation, the point (2, -4) must be a solution to the equation. We can use the point-slope form to create an equation that satisfies this requirement. The point-slope form is:
y - y1 = m(x - x1) where m is the slope and (x1, y1) is a solution to the equation.
We know that (2, -4) must be a solution to the equation that we are trying to make. We can use (2, -4) as our (x1, y1). Since having (2, -4) as a solution is our only requirement, the slope can be any real number. I am going to make my slope 2 (you can choose whatever you want). So:
(x1, y1) = (2, -4)
m = 2
Now plug these into out point-slope equation:
y + 4 = 2(x - 2)
Remember, this is just one of infinitely many equations that meets the requirement.
Happy studying. :)
I believe the measure of AB is 90 degrees, but I may be wrong.
I think that there would be 20 trucks because <span>6 + 10 + 14 + 15 = 45, </span><span>6 + 10 + 14 + 15 = 45, </span><span>45 + 45 = 90 </span>