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2 years ago

A and B are supplementary. A is 20 less than three times the measure of B. What are the measures of A and B?

Mathematics

1 answer:

Amanda [17]2 years ago

8 0

Answer:

∠ A = 130° , ∠ B = 50°

Step-by-step explanation:

supplementary angles sum to 180°

express ∠ A in terms of ∠ B , that is ∠ A = 3∠B - 20 , then

∠ A + ∠ B = 180° , that is

3∠B - 20+ ∠B = 180 ( add 20 to both sides )

4∠B = 200 (divide both sides by 4 )

∠ B = 50°

∠ A = 3 × 50° - 20 = 150° - 20° = 130°

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butalik [34]

Answer:

The answer is " $(\frac{\pi}{2})$ ".

Step-by-step explanation:

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8 0

2 years ago

1. Solve the system by using a table. 3y=4x+7 , -4x-4y=28. These are the possible solutions: A) (–4, –3), B) (–3, –4), C) (4, 3)

melisa1 [442]

<span>The first question:
3y=4x+7 (1)
-4x-4y=28 (2)

Let's plug in x = -4, -3, 3, and 4 and see the y-values :)

I have attached the table since it's hard to make a table with text :P
As you can see, when x = -4, that is when the y-values are equal. That means that is the solution to the system of equations. Your answer is A) (-4, -3).

The second question:
</span><span>-3x-y=-10 (1)
4x-4y=8 (2)
</span>
When you graph both equations, you will see that they intersect at D) (3, 1).

The third question:
We need to find the lines for revenues and expenses.
To find the line for revenues, make months the x-value and revenues the y-values. And find the equation. You should get y = 4,100x + 300.
To find the line for expenses, make months the x-value and expenses the y-values. And find the equation. You should get y = 1,900x + 19,990.

Now graph both solutions and see where they intersect. They intersect at approximately (8.95, 36995)

That would be during the month of C) August.

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3 years ago

Read 2 more answers

Emily is training for a 10K race. On day one, she runs for 20 minutes. On day two, she runs for 30 minutes. On day three, she ru

Shalnov [3]

Answer:

130

Step-by-step explanation:

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3 years ago

30 POINTS!!! Kent won 25% of the games he played on Saturday. If he lost 12 games on Saturday, and no game ended in a tie, how m

Lana71 [14]

Answer:

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Step-by-step explanation:

Percentage of games he lost= 75%

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$\frac{75x}{100}$ = 12

75 $x$ = 12 x 100

$x$ = $\frac{1200}{75}$

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Number of games he won = 16-12

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2 years ago

A recipe for individual chocolate hazelnut tarts calls for ½ cup of hazelnuts per tart. If 1 cup of hazelnuts weighs 4 ounces, w

DerKrebs [107]

Answer:

The amount is sufficient to make 75 tarts.

Step-by-step explanation:

We have been given that a recipe for individual chocolate hazelnut tarts calls for ½ cup of hazelnuts per tart and 1 cup of hazelnuts weighs 4 ounces.

The half cup of hazelnuts will weigh 2 ounces $(\frac{4}{2}=2)$ .

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Since we can make 88 tarts from 5 kg hazelnuts, therefore, the 5-kilogram bag of hazelnuts be sufficient to make 75 tarts.

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3 years ago