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spayn [35]
2 years ago
9

Would appreciate your help a lot!

Mathematics
1 answer:
ikadub [295]2 years ago
6 0

Answer:

None of those answers are right. It should be

-  \frac{23}{24}

Step-by-step explanation:

You have to find common denominators first. Multiply -5/6 by 4/4 to get -20/24. Multiply 1/8 by 3/3 to get 3/24.

-  \frac{20}{24}  = z +  \frac{3}{24}

Subtract 3/24 from both sides since it is being added.

-  \frac{20}{24}  = z +  \frac{3}{24}  \\  -  \frac{3}{24}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  -  \frac{3}{24}

Since there are two negatives on the left, add the fractions together and keep the negative sign.

-  \frac{23}{24}  = z

You cannot reduce this fraction.

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An angle measures 30° more than the measure of its supplementary angle. What is the measure of each angle?
yarga [219]

Hi there!
\boxed{\angle A = 75^o, \angle B = 105^o}

Let there be two angles, ∠A and ∠B, that are supplementary to each other. Therefore:

∠A + ∠B = 180°

We can assign ∠B to be the greater angle. Assume ∠A has a measure of x°.

∠A = x°

∠B = x° + 30°

The sum is equal to 180°, so:

x° + (x° + 30°) = 180°

Solve for x°.

2x° + 30° = 180°

2x° = 150°

x° = 75°

Thus, ∠A = 75°.

Since ∠B is 30°, greater:
∠B = 75° + 30° = 105°.

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