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Katena32 [7]
3 years ago
10

To find the slope, Jackie makes right triangle P by using the graph of the line as the hypotenuse of the triangle as shown in th

e figure. To check her work, she repeats the process and makes a right triangle Q as shown. Which statement explains why the slope of the line should be the same when calculated with either triangle?
A
The two triangles are similar.

B
The two triangles are congruent.

C
One triangle is a translation of the other triangle.

D
The lengths of the hypotenuse of each triangle are equal.

Mathematics
1 answer:
miv72 [106K]3 years ago
3 0

Answer:

A

Step-by-step explanation:

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Mason currently pas $420 per month in rent. the contract on his apartment sates that his rent will increase by 6% next year.
Sergeeva-Olga [200]

Answer:

a. Mason's rent will increase by $302.40 next year.

b. Mason's new rent per month next year will be $445.20.

Step-by-step explanation:

The first question is asking us how much Mason's rent will increase next year.

If the contract on Mason's apartment states that his rent will increase by 6% next year, and he is currently paying $420 per month, to calculate the increase of the rent next year, we will first have to multiply $420 by 12 months to calculate how much Mason is paying in rent a year:

420* 12=

5040

Therefore, Mason is currently paying $5040 a year.

With this information, we will now need to calculate 6% of $5040. To calculate 6% of $5040, convert 6% to decimal form, and multiply it by $5040.

<em>6% means 6 per cent/hundred, so it can be represented as:</em>

\frac{6}{100}

<em>The fraction </em>\frac{6}{100}<em> can be represented as (we're two places behind the decimal, in the hundredths place)</em>:

0.06

Now, multiply the decimal form of 6% by $5040:

0.06*5040=

302.40

Therefore, Mason's rent will increase by $302.40 next year.

-

To calculate Mason's new rent per month next year, we can divide $302.40 into 12 months to see the rent increase per month, and then add that quotient to Mason's current rent per month, $420:

302.40 ÷ 12=

25.20

Now, that we know the rent per month will increase by $25.20 next year, we can add $25.20 to Mason's current rent per month:

420+25.20=

445.20

Therefore, Mason's new rent per month next year will be $445.20.

7 0
3 years ago
A rectangle and an equilateral triangle have the same perimeter
PtichkaEL [24]

Answer:

A rectangle and an equilateral triangle have the same perimeter

The perimeter of the rectangle is 2x+2(3x-1) inches

The perimeter of the equilateral triangle is 3(x+1) inches

Solve the value of x and the perimeter of each figure

4 0
1 year ago
Please help me with i ii iii<br> Step by step
UkoKoshka [18]

(i) I used distributive property to get the x’s and y’s out of parentheses. I then combined like-terms to simplify until I could do no more. That is your final answer for (i) is -3x - 12y

(ii) This one is similar to the first one, just with no parentheses. I combined like terms again until not like terms were left. Your final answer for (ii) is -3k -2 -2n

(iii) I started by dividing 15 by 3 and got 5, and because the 15 had an x to it, you get 5x. I then moved onto the next term, 9. 9 divided by 3, to get 3. Your final answer for (iii) is 5x + 3

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3 years ago
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The SKELD ship has 186 crewmates divided as evenly as possible into 8 teams. How many crewmates are in each team? Show your work
galben [10]

Answer:

There is 23 crewmates in a group i got this by dividing 186x8 but this number is uneven so i rounded :)

7 0
2 years ago
Six copies of the sum of nine fifths and three ​
fgiga [73]

Answer: What is the complete question? Can you comment it?

Step-by-step explanation: I can’t help unless I know what the full question is. Sorry.

5 0
2 years ago
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