The total would be 180 degrees because angles on a straight line would always add up to 180.
(3x+31)+(2x-6)=180
5x+25=180
-25 -25
5x=155
/5 /5
x=31
Hello! here are the basic rules that you need to know to solve these problems:
a diameter is 2 × the radius
the circumference rule is 2×π×radius
I will solve the first question to show how to format.
1: 5/2=2.5
2×2.5×π=5×π=15.7
Answer:
-1 < X ≤ 6
Step-by-step explanation:
x is greater than -1 but less than or equal to positive 6
Given that ABC is a right triangle.
The length of AC = 10 and AB = 17
We need to determine the m∠B
<u>The measure of ∠B:</u>
The side opposite to ∠B is AC and the hypotenuse of the triangle is AB
The m∠B can be determined using the trigonometric identity,

where
and 
Substituting, we get;

Substituting the values, we get;


Taking
on both sides of the equation, we have;


Rounding off to the nearest tenth, we get;

Hence, the measure of ∠B is 36.0°