Answer:
x = -10
Step-by-step explanation:
x + 75 + x + 125 = 180
2x + 200 = 180
2x = -20
x = -10
(In this problem a negative number is okay because the end value will be a whole number still.)
Answer:
B
Step-by-step explanation:
An expression represents the perimeter, in centimeters, of this triangle is 6q + 8r - 5s.
<u>Given the following data:</u>
- b = (5q - 10s) centimeters.
- c = (5s + 7r) centimeters.
<h3>What is a triangle?</h3>
A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.
<h3>How to calculate the perimeter of a triangle?</h3>
Mathematically, the perimeter of a triangle can be calculated by using this formula:
P = a + b + c
<u>Where:</u>
a, b, and c are length of sides.
Substituting the given parameters into the formula, we have;
P = q + r + 5q - 10s + 5s + 7r
P = 6q + 8r - 5s centimeters.
Read more on perimeter of triangle here: brainly.com/question/27109587
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Step 
<u>Find the length of the side MN</u>
we know that
Applying the Pythagorean Theorem

Solve for MN

in this problem

Substitute in the formula above



Step 
<u>Find the value of cos (M)</u>
we know that
in the right triangle MNL


Substitute



therefore
The answer is
The value of cos(M) is equal to 
Hello,
Let y=sin^(-1)(12/13.
==>sin y=12/13
==>cos y=√(1-(12/13)²)=√(25/169)=5/13
Answer 5/13