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:
The y-intercept is 1 space higher.
Step-by-step explanation:
y goes up by 1.
Formula: Circumference = πD
Given that diameter = 42,
⇒ Circumference = π (42) = 132 ft
Answer: 132 ft
Answer:
Step-by-step explanation:
Set it up as fractions, Alex over Peter.
3/5 : 33/x Let x represent Peter's amount. Now find out: how do you get from 3 to 33? What times 3 equals 33? 11
What you do on the top, you must do on the bottom. If 3 times 11 equals 33, then 5 times 11 equals x. 5 times 11 equals 55, so x equals 55.
Peter will get 55. Don't forget the pound symbol.
(3,5) (3,2) (5,2) are the coordinates