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Gennadij [26K]
2 years ago
9

ZA and ZB are vertical angles with MZA = X and mZB = 3x - 60.What is mZA?​

Mathematics
1 answer:
Elodia [21]2 years ago
7 0

The measure of angle A is 30°

Step-by-step explanation:

Let us revise the meaning of vertical angles

1.  Vertical Angles are the angles opposite each other when two

    lines intersect

2. vertical angles are congruent angles

∵ ∠A and ∠B are vertical angles

- Vertical angles are congruent

∴ ∠A ≅ ∠B

∴ m∠A = m∠B

∵ m∠A = x°

∵ m∠B = (3 x -60)°

∵ m∠A = m∠B

- Substitute the values of the angles

∴ x = 3 x - 60

- Add 60 to both sides

∴ x + 60 = 3 x

- Subtract x from both sides

∴ 60 = 2 x

- Divide both sides by 2

∴ x = 30

∵ m∠A = x

∴ m∠A = 30°

The measure of angle A is 30°

Learn more:

You can learn more about vertical angles in brainly.com/question/1599887

#LearnwithBrainly

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What is the relationship between the conversion factors used in Part A of Model 2? Whatabout the conversion factors used in Part
Lelu [443]

Given:

The conversions from meter to inches and inches to meter are shown in part A of model 2.

The conversions from liters to quarts and quarts to liters are shown in part B of model 2.

Required:

To find the relationship between the conversion factors used in Part A of Model 2.

To find the relationship in the the conversion factors used in Part B of Model 2.

Explanation:

We have given that 1 meter = 39.4 inches.

Thus, from the calculations shown in part A of model 2, we can conclude that the quantity from meters to inches is converted as:

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Also, the quantity from inches to meters is converted as:

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Final Answer:

We conclude that:

While converting from meters to inches, we multiply the quantity 1.5 by the equality quantity given.

While converting from incehs to meters, we divide the quantity 59 by the equality quantity given.

Also, While converting from quarts to liters, we divide the quntity 186 by the equality quantity given.

While converting from liters to quarts, we multiply the quntity 175 by the equality quantity given.

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