Answer:
Step-by-step explanation:
1. 56 + 81 = 137
2. The exterior angle theorem means that the 2 angles within a triangle that is on the opposite side of the angle outside the triangle could be added to find the angle that is outside of the triangle.
3. 56 and 81 are on the opposite side of the "x" outside the triangle which means that they could be added together which equals 137 degrees.
Hope this helps!
Answer:
4a/5
Step-by-step explanation:
(a+a+a+a) / 5
Combine like terms
4a/5
Answer:
91
Step-by-step explanation:
Set up a proportion, where x is the number of push ups she can do in 7 minutes
= 
Cross multiply and solve for x:
5x = 455
x = 91
So, Jade can do 91 push ups in 7 minutes
Answer:
$
Step-by-step explanation:
÷
= 

Hope this helps
Answer:
80 mm
Step-by-step explanation:
Pythagorean theorm can be applied here to solve for the length of the last leg,
+
=
, where (a) and (b) are the legs of the triangle and (c) is the hypotenuse. We can rearrange the pythagorean theorm for our purposes like the following:
b = √c^2 - √a^2
= √(82)^2 - √(18)^2
= √6724 - √324
= √6400
= 80 mm