Hi there.
A triangle's interior angles must always add up to 180 degrees. Since we already have one measurement, 56, we can set up an equation to solve for the missing angles.
(2x + 4) + 56 + x= 180; solve for x.
Subtract 56 from both sides.
(2x + 4) + x = 124;
Combine like-terms (x).
3x + 4 = 124;
Subtract 4 from both sides.
3x = 120
Divide both sides by 3 to solve for x.
x = 40.
Now, we need to substitute x with 40 in each of our angles to determine their measurements.
2x + 4; x = 40.
2(40) + 4 = 80 + 4 = 84;
One measurement is 84 degrees.
x = 40 is another measurement on its own.
Our measurements are:
56, 84, and 40.
Your corresponding answer choice is H.) 56, 84, 40.
I hope this helps!
Answer:
<h2>This triangle is a right triangle:</h2><h2>36² + 15² = 39².</h2>
Step-by-step explanation:
If a ≤ b <c is the length of the sides of a right triangle, then:
We have
Check the equality:
It's a right triangle.
Answer:
Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Answer:
130^2 or 130 meters squared
Step-by-step explanation:
I decomposed the figure, then found the area of the decomposed figures then found the sum of them.
FIGURE A:
3 x 3 = 9
= 9^2
FIGURE B:
11 x 11 = 121
= 121 meters^2
So 121 + 9 = 130
= 130 meters^2
REMEMBER!!!!
THE FORMULA FOR AREA IS LENGTH * WIDTH = AREA
