What is -296 = -8 (8a +5)? With work provided

Mathematics

1 answer:

Feliz [49]3 years ago

5 0

Answer:

a = 4

Step-by-step explanation:

Simplify both sides of the equation.

−296=−8(8a+5)

−296=(−8)(8a)+(−8)(5)

−296=−64a+−40

−296=−64a−40

Flip the equation

−64a−40=−296

Add 40 to both sides

−64a−40+40=−296+40

−64a=−256

Divide both sides by -64

(−64a ) / (−64) = (−256) / (−64)

a = 4

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Monica [59]

Answer:

Firstly, notice the relationship the two triangles have. They have conjoining ends that form vertical angles (looks like a middle x). Vertical angles are equivalent in measure of degrees.

Secondly, notice that the triangle on the right side is a right triangle. One of its angle's measurements are also given; 40 degrees. If you know that the sum of a triangle's angles equal 180 degrees, then simply subtract the known angles measurements from 180.

180-(90+40)= 180-130=50.

Therefore, the vertical angles measurement is equivalent to 50 degrees.

Apply the principle of the sum of all angles in a triangle equivalent to 180 degrees to the left triangle, and you will be able to find the measurement of the "?" angle.

180-(50+25)= 180-75=105

SO HERE IS YOUR ANSWER= 105 degrees is the value of the angle marked with a "?"

I hope you are having a great day too;)!

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