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dedylja [7]
3 years ago
12

ABCD is a rectangle. If AC = 5x + 2 and BD = x + 22, find the value of x.

Mathematics
1 answer:
alexgriva [62]3 years ago
6 0
AC and BD are diagonals so they are congruent to each other and you can set the expressions equal

5x+2=x+22
Then, you need to subtract 2 from both sides to get 5x=x+20

Next, you subtract x from both sides to get 4x=20

Finally, you divide both sides by 4 to get a final answer of x=5

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3 years ago
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Write an equation that represents the line.<br> Use exact numbers.
mariarad [96]

Answer:

y = .75x - 4.5

Step-by-step explanation:

y = mx + b

m = slope ; b = y-int

slope = rise/ run = 3/4 = .75

y = .75x + b

Because it is hard to determine the exact y-intercept, we plug in a point (2,-3):

-3 = .75(2) + b

-3 = 1.5 + b

-4.5 = b -->

y = .75x - 4.5

5 0
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8. An $18,000 car depreciates at a rate of 16% per year. How old will the car be when it is worth $12,000?
blsea [12.9K]
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7 0
3 years ago
What is the prime factorization of 24?<br>1. 2x2x2x3<br>2. 2x2x3<br>3. 8x3<br>4. 6x4​
nika2105 [10]

Answer:

1. 2x2x2x3

Step-by-step explanation:

Let's do process of elimination.

2. 2x2x3

2x2=4   4x3=12

2 is false.

3. 8x3

8x3=24

3 is true, but 8 is not a prime number.

4. 6x4​

6x4=24

4 is true, but 6 is not a prime number.

This leaves 1. 2x2x2x3.

1. 2x2x2x3

2x2=4    2x3=6     6x4=24

1 is true, and 2 and 3 are prime numbers. So, the answer is 1.

-hope it helps

6 0
2 years ago
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Tip:

You put the number of each equation into the form.

Exponent’s denominator goes outside

Exponent’s numerator goes inside with the number
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3 years ago
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