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nata0808 [166]
3 years ago
5

A and B are vertical angles. If m A = (3x+3)° and m B= (4x-8)°, then find the value of x.

Mathematics
1 answer:
iogann1982 [59]3 years ago
6 0

Answer: x=11

Step-by-step explanation:

First, since angle A and angle B are vertical angles, that means that they are congruent. If they are congruent, then the m of angle A equals the measure of angle B. So, (3x+3)=(4x-8). Simplify using algebra so that in the end, you will find that x=11.

3x+3=4x-8

3=x-8

11=x

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Suppose that a company wishes to predict sales volume based on the amount of advertising expenditures. The sales manager thinks
skelet666 [1.2K]

Answer:

\$444341 \text{to the nearest dollar}

Step-by-step explanation:

According to the sales manager, sales volume and advertising expenditures are modeled according to the linear equation.

Estimated Sales Volume=46.41+0.45(Advertising Expenditures)

If the company has target sales volume of $200,000, we are to determine its proposed advertising expenditure.

Estimated Sales Volume=46.41+0.45(Advertising Expenditures)

200000=46.41+0.45(Advertising Expenditures)

200000-46.41=0.45(Advertising Expenditures)

Advertising Expenditures

=\dfrac{200000-46.41}{0.45}\\=444341.31\\\approx \$444341 \text{to the nearest dollar}

The sales Manager should allocate $444,341 for advertising in the budget.

5 0
3 years ago
use the definition of the derivative to find the derivatives of the function with respect to x. Please help with numbers 3 and 4
irga5000 [103]
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6 0
4 years ago
The formula s=0.04n+2500 gives an employees monthly salary s, in dollars, after selling n dollars in merchandise at an appliance
topjm [15]
A) Find the inverse of the function
s=0.04n+2500
s-2500=0.04n+2500-2500
s-2500=0.04n
s/0.04-2500/0.04=0.04n/0.04
25s-62,500=n
n=25s-62,500
Answer: The inverse of the function is n=25s-62,500

Is <span>the inverse a function?
Yes, the inverse is a function, a linear function.

</span>b) Use the inverse to find the same amount of merchandise sold if the employees salary was $2820 last month.
s=2,820→n=25(2,820)-62,500
n=70,500-62,500
n=8,000
Answer: The amount of merchandise sold was $8,000
4 0
3 years ago
68 increased by 75%
mash [69]

Let's see -

Follow the directions below to get your answer -

0.75 × 68 = 51

51 + 68 = 119

So, 119 is your answer

68 increased by 75% is 119.

↑   ↑   ↑  Hope this helps! :D


3 0
3 years ago
Read 2 more answers
The variables x and y vary directly. Use the given values to write an equation that relates
mafiozo [28]
I would say the answer would be x = 2y
3 0
3 years ago
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