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2 years ago

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

Mathematics

1 answer:

Nata [24]2 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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2 years ago

Given g(x) = (x - 3)2 and h(x) = 2x + 1, which of the following is (g.h)(5)?

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2 years ago

bobby’s christmas list had 3 more than twice as many items on it than johnny’s list. johnny asked for 8 fewer items than bobby.

Nataly [62]

Answer:

Johnny had 5 items and Bobby had 13 items.

Step-by-step explanation:

Let us assume that Johnny has x items and Bobby has y items in their list.

Bobby had 3 more than twice as many items on it than Johnny. So,

$\Rightarrow y=3+2x$ ----------1

Johnny asked for 8 fewer items than bobby. So,

$\Rightarrow y-8=x$ -----------2

Putting the value of x from equation 2 in equation 1, we get

$\Rightarrow y=3+2(y-8)$

$\Rightarrow y=3+2y-16$

$\Rightarrow 2y-y=16-3$

$\Rightarrow y=13$

Putting the value of y in equation 2,

$\Rightarrow 13-8=x$

$\Rightarrow x=5$

So, Johnny had 5 items and Bobby had 13 items.

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2 years ago

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Answer:

Step-by-step explanation:

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2 years ago

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