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3 years ago

Find the measure of angle a.

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

3 0

Answer:

a = 127°

Step-by-step explanation:

The 3 angles lie on a straight line and have a sum of 180°, that is

15° + a + 38° = 180°

53° + a = 180° ( subtract 53° from both sides )

a = 127°

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Big numbers scare me......

lisabon 2012 [21]

Your answer would be B. -x² - 2x + 16

If we look at the terms separately, you can add them separately, so:
4x² + -5x² = -x²
0 + -2x = -2x
9 + 7 = 16

I hope this helps!

8 0

3 years ago

Read 2 more answers

An executive invests $28000, some at 8% and the rest at 6% annual interest. If he receive annual return of $2000 how much is inv

Svetlanka [38]

Answer:

$16,000 at 8% annual interest.

$12,000 at 6% annual interest.

Step-by-step explanation:

Let x be amount invested at a rate of 8% annual interest and y be the amount invested at a rate of 6% annual interest.

We have been given that an executive invests $28000, some at 8% and the rest at 6% annual interest. We can represent this information as:

$x+y=28,000...(1)$

We are also given that he received annual return of $2000. We can represent this information as:

$(\frac{8}{100})x+(\frac{6}{100})y=2,000...(2)$

$0.08x+0.06y=2,000...(2)$

We will use substitution method to solve our system of equations. From equation (1) we will get,

$x=28,000-y$

Substituting this value in equation (2) we will get,

$0.08(28,000-y)+0.06y=2,000$

$2240-0.08y+0.06y=2,000$

$2240-2240-0.08y+0.06y=2,000-2240$

$-0.08y+0.06y=2,000-2240$

$-0.02y=-240$

$\frac{-0.02y}{-0.02}=\frac{-240}{-0.02}$

$y=12,000$

Therefore, the executive has invested $12,000 at a rate of 6% annual interest.

Upon substituting y=12,000 in equation (1) we will get,

$x+12,000=28,000$

$x+12,000-12,000=28,000-12,000$

$x=16,000$

Therefore, the executive has invested $16,000 at a rate of 8% annual interest.

7 0

3 years ago

Read 2 more answers

30. Justify Reasoning The quotient of two negative integers results in an integer. How does the value of the quotient compare to

Ratling [72]

The quotient of 2 negative integers results in an integer.
-4/-2 = 2
the value of the quotient is positive whereas, the value of the original 2 integers are both negative. The reason being, is that when u divide two negatives, u get a positive.

6 0

3 years ago

Paul, a dentist, determined that the number of cavities that develops in his patient's mouth each year varies inversely to the n

timofeeve [1]

Answer:

Step-by-step explanation:

Inverse variation is written as

$y=\frac{k}{x}$ which, in words, says "y varies inversely with x". If cavities varies inversely with time brushing, then