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:
Letter A.
Step-by-step explanation:
One way to know that two lines are perpendicular IF their slopes are reciprocals of one another and one slope is negative.
Slope AB is -3/4 and the slope of CD is 4/3.
- 3/4 is the reciprocal of 4/3
- One slope is negative (-3/4)
Answer:
5,850 - 6,150/ 5,850≤x≤6,150
Step-by-step explanation:
All we really need to see here is what is 2.5% of 6,000, that is 150,
Now, we just add/ subtract that from 6,000 to get our range
5,850 - 6,150/ 5,850≤x≤6,150
19/8 is the improper fraction of 2 3/8.