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2 years ago

15

Verify -(-x) = x for: a)

\frac{5}{9}" align="absmiddle" class="latex-formula">
b) $\frac{-3}{8}$

1 answer:

Mila [183]2 years ago

5 0

It a because negative times a negative is a positive

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An angle measures 40.2° more than the measure of its complementary angle. What is the measure of each angle?

vampirchik [111]

<h3>Solving for the measurements of Complementary Angles</h3><h3>Answer:</h3>

$24.9^{\circ}$ and $65.1^{\circ}$

<h3>Step-by-step explanation:</h3>

Recall that Angles that are complementary to each other add up to $90^{\circ}$ .

Let $a$ be the measure of the complementary angle.

If an angle is $40.2^{\circ}$ more than its complementary angle, the measure of that angle is $a +40.2$ . The sum of both angles are expressed $a +(a +40.2)$ but since the have to add to $90$ as they are complementary, $a +(a +40.2) = 90$ .

Solving for $a$ :

$a +(a +40.2) = 90 \\ a +a +40.2 = 90 \\ 2a +40.2 = 90 \\ 2a +40.2 -40.2 = 90 -40.2 \\ 2a = 49.8 \\ \frac{2a}{2} = \frac{49.8}{2} \\ a = 24.9$

Since the other angle measures $a +40.2$ , we can plug in the value of $a$ to find the measure of the angle.

Evaluating $a +40.2$ :

$a +40.2 \\ 24.9 +40.2 \\ 65.1$

The measure of the angles are $24.9^{\circ}$ and $65.1^{\circ}$

4 0

2 years ago

Alex and Ben were given a total of £240 They shared the money in the ratio 5:7

AfilCa [17]

Answer:

Ben received: £140

Step-by-step explanation:

Total amount = £240

Given ratio: 5:7

It means £240 is divided into 12 parts

So 1 part will be equal to: £240/12

1 part = £20

Now given ratio is:

5:7

Multiplying each share with £20

5*(£20) : 7* (£20)

£100: £140

So according to ratio amounts:

Alex received: £100

Ben received: £140

I hope it will help you!

5 0

3 years ago

If ab = c - d, which of the following is an expression for d in terms of a, b, and c?

horsena [70]

ANSWER

$d = - ab + c$

EXPLANATION

The given expression is

$ab = c - d$

To find an expression for d in terms of a, b, and c, means we want to make d the subject of the relation.

This means that, we need to isolate d on one side of the equation while all other terms are on the other side.

We subtract from both sides of the equation to obtain,

$ab - c = - d$

We now divide through by -1, to get,

$- ab + c = d$

Or

$d = - ab + c$

The topic is change of subject

3 0

3 years ago

Mia wants to purchase a pair of jeans. The first time she saw the jeans, they were priced at $36. When she goes back to make the

jasenka [17]

Answer: D

Step-by-step explanation:

1. Subtract 36 to 28.80

2. Divide the answer to the first price (36.00)- 7.5 divided by 36.00 or 36

3. When you calculate and find the answer as a decimal, then make it into a percentage

So if... you divide 7.5 divided by 36, you get the decimal of 0.2, and when you move the decimals two places only, you get your answer of 20%.

Hopefully it helped you!. Have a good day :-).

8 0

2 years ago

-13=r/9+8<br> what is r equal to?

AURORKA [14]

Answer: r=(-189)

first you subtract both sides by 8 and get -21=r/9

then you multiply 9 with each side and get -189 = r

you can check by rewriting the problem with -189 as r and solving the equation

7 0

3 years ago