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3 years ago

Angles a and b are vertical angles. If mA = (5x – 24)° and m B = (3x + 24),

Mathematics

1 answer:

Nata [24]3 years ago

4 0

Answer:

The correct answer is x = 24.

Step-by-step explanation:

To solve this problem, we must remember that vertical angles have the same measure. This lets us set up the following equation:

m<a = m<b

If we substitute their values, we get the following:

5x - 24 = 3x + 24

To solve this equation, we can first subtract 3x from both sides of the equation.

2x - 24 = 24

Next, we can add 24 to both sides of the equation.

2x = 48

Finally, we can divide both sides of the equation by 2.

x = 24

Therefore, the answer is x = 24.

Hope this helps!

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Find the measure of angle A<br> 60<br> 300<br> 90<br> 120

labwork [276]

Answer:

120°

Step-by-step explanation:

$m\angle A = \frac{1}{2} \{(360 - 60) \degree - 60 \degree \} \\ \\ m\angle A = \frac{1}{2} \{300 \degree - 60 \degree \} \\ \\ m\angle A = \frac{1}{2} \{240\degree\} \\ \\ m\angle A = 120 \degree$

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3 years ago

Mark said that the number 0.05 has a value 10 times greater than 0.5 is he correct

Anna71 [15]

No he is not because 0.5 would be 0.50 and 0.05 is lower than 0.5

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4 years ago

Quick algebra 1 question for 10 points!

trasher [3.6K]

$m = m \\ \frac{97 - 68}{2 - 1} = \frac{134 - 97}{3 - 2} \\ 29 = 37 \\ this \: function \: is \: non \: linear$

<h3>Since the only two other options are quadratic and given that it must satisfy one of them i will assume the following general form of the function.</h3>

$f(1) = 68 \: \: \: f(2) = 97 \: \: \: \: f(3) = 134 \\ f(x) = ax {}^{2} + bx + c$

<h3>Substitute in the first function any point.</h3>

$f(1) = 68 \\ 7.8(1) {}^{2} - 2.9(1) + 67.1 = 68 \\ 7.8 - 2.9 + 67.1 = 68 \\ 72 = 68 \\ this \: is \: false$

<h3>I'm pretty sure something is wrong with the given</h3>

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2 years ago

Question 5(Multiple Choice Worth 1 points)

Anit [1.1K]

Answer:

x+3x+5=101 (Option C).

Step-by-step explanation:

This question requires to be solved using the supposition method.

Let Aylen's savings be $x. Therefore, Rich's savings would be $(3x+5). This is because it is mentioned that Rich has $5 more than 3 times the amount of money Aylen has. The sum of the savings is $101. Therefore the sum of the savings of Aylen and Rich is given by:

x + 3x + 5 = 101. Thus, Option C is the correct answer.

Solve the equation for x gives x = $24. This is Aylen's share. To calculate Rich's share, simply put x=24 in 3x+5. Thus, Rich's share will be $77.

In short, Rich's share = $77, Alan's share = $24, and this has been calculated using the equation x+3x+5=101 (Option C)!!!

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4 years ago

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GalinKa [24]

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3 years ago