Two supplementary angles always adds up to 180 degrees. If an angle is 67.2 degrees less than the measure of a supplementary angle, an equation can be formed where "A" represents the larger angle, and (A - 67.2) represents the smaller angle.
(A - 67.2)+A=180
(Combine the A's)
2A - 67.2=180
(Add 67.2 to both sides)
2A = 247.2
(Divide by 2 to both sides)
A = 123.6
123.6 degrees is the larger angle.
The smaller angle is represented by (A - 67.2). We now know the value of A so lets plug it in. (123.6 - 67.2) = 56.4. 56.4 is the value of the smaller angle.
We can double check to make sure we got the right answer.
123.6 + 56.4 = 180
Answer:
21.9
Step-by-step explanation:
The altitude of an isosceles triangle bisects the base. So, x represents the hypotenuse of a right triangle with legs of 9 and 20. It can be found using the Pythagorean theorem:
x^2 = 9^2 +20^2 = 81 +400
x = √481 ≈ 21.932
The length x is about 21.9 units.
Answer:
Area: 181.5
Volume: 166.4
Step-by-step explanation:
Hope this helps.
Answer:
c.9
Step-by-step explanation:
76 granola bars
to solve this, you need to multiply 15 by 5 for the big boxes and 8 by 2 for the small boxes. 15 x 2 = 60 and 8 x 2 = 16, therefore adding them together gets you 76.
