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goblinko [34]
2 years ago
5

Which angle refers to the same angle as \angle DAC∠DACangle, D, A, C?

Mathematics
1 answer:
Arturiano [62]2 years ago
3 0

Answer:

Option

Step-by-step explanation: The way tell what the answer is are the similar lines. The single yellow line helps indicate that it's a similar angle.

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A sofa is on sale for 15% off. The sale price is $289.<br> What is the regular price?
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6 0
3 years ago
$15,074 is invested, part at 14% and the rest at 5%. If the interest earned from the amount invested at 14% exceeds the interest
Flauer [41]

The rate at 14% and 5% are $12, 883 and $2191 respectively.

<h3>How to determine the rate</h3>

Given that;

Invested amount = $ 15, 074 at 14% and 5%

Let rate at 14% = x

rate at 5% = y

We have rate at 9% exceeds that of 5% by $1694. 07

Hence,

0. 14x = 0. 05y + $1694. 07 ⇒ equation 1

x + y = $15, 074 ⇒ equation 2

Make 'x' the subject

x = 15, 074 - y

Substitute in equation 2

0. 14(15, 074 - y) = 0. 05y + $1694. 07

Expand the expression

2, 110. 36 - 0. 14y = 0.05y + 1694. 07

Collect like terms

416. 29 = 0. 19y

Make 'y' the subject

y = \frac{416. 29}{0. 19}

y = $2, 191

Substitute the value in equation 2

x + y = $15, 074

x = $15, 074 - y

x = $15, 074 - 2191

x = $12, 883

Therefore , the rate at 14% and 5% are $12, 883 and $2191 respectively.

Learn more about simultaneous equations here:

brainly.com/question/16863577

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4 0
2 years ago
The length of a rectangle is 10 in. What is the perimeter of the rectangle if the width is 7 in. less than the length? a. 26 in.
exis [7]

Answer:

Option A P=26\ in

Step-by-step explanation:

we know that

The perimeter of the rectangle is equal to

P=2(L+W)

we have

L=10\ in

W=L-7 -----> equation A

substitute the value of L in the equation A

W=10-7=3\ in

Find the perimeter

P=2(10+3)=26\ in

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