<em>5) x = 8</em>
<em>6) z = 49°</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>5)</em>
<em>we have opposite angles =></em>
<em>5x = 2x + 24</em>
<em>5x - 2x = 24</em>
<em>3x = 24</em>
<em>x = 24 : 3</em>
<em>x = 8</em>
<em>6) </em>
<em><u>The sum of the three interior angles in a triangle is always 180° !</u></em>
<em>x = 180° - (28° + 39°)</em>
<em>= 180° - 67°</em>
<em>= 113°</em>
<em />
<em>x ; y = supplementary angles => </em>
<em>x + y = 180° => </em>
<em>y = 180° - x</em>
<em>= 180° - 113°</em>
<em>= 67°</em>
<em />
<em>z = 180° - (64° + 67°)</em>
<em>= 180° - 131°</em>
<em>= 49°</em>
<em />
<em>Good luck !</em>
<em />
Answer:
Yes, there is a proportional relationship.
Step-by-step explanation:
I can't put a graph in here unfortunately.
Answer:
- angle at A: 51°
- base angles: 64.5°
Step-by-step explanation:
The measure of the inscribed angle BAC is half the measure of the intercepted arc BC, so is 102°/2 = 51°.
The base angles at B and C are the complement of half this value, or ...
90° -(51°/2) = 64.5°
The angle measures in the triangle are ...
∠A = 51°
∠B = ∠C = 64.5°
Answer:
x = all real numbers, infinite solutions
Step-by-step explanation:
4(x-2) + 7 = 4x - 1
Distribute
4x -8+7 = 4x-1
Combine like terms
4x -1 = 4x-1
Subtract 4x from each side
4x-1 -4x = 4x-1-4x
-1 = -1
This is always true so there are infinite solutions for x
