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aev [14]
3 years ago
13

Write a simplified expression for the length of AC.

Mathematics
1 answer:
Elena L [17]3 years ago
3 0

Answer:

see below

Step-by-step explanation:

Using the segment addition postulate

AB + BC = AC

x+2 + 7x-3 = AC

Combine like terms

8x -1 = AC

Using the segment addition postulate

PQ + QR = PR

8y+5 + QR = 13y+25

Subtract 8y from each side

5 + QR = 13y-8y+25

5 + QR = 5y+25

Subtract 5 from each side

QR = 5y+25-5

QR = 5y+20

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What is the solution to the inequality
Dvinal [7]

Answer:

p > 5 and p <-8

Step-by-step explanation:

To solve this, you first need to isolate p.

First add 6 on both sides of the equation:

-6 + |2p+3| >7\\\\(+6) -6 + |2p+3| >7 +6\\\\2p + 3 > 13

Then subtract 3 from both sides of the equation.

2p+3-3>13-3\\\\2p > 10\\

The divide both sides by 2.

\dfrac{2p}{2}>\dfrac{10}{2}\\\\p>5

Another solution is possible because of the absolute value.

If |2p+3|>13

Then |2p+3|

<em>Thus we can solve the second solution:</em>

|2p+3|

2p+3

Isolate P again by subtracting both sides by 3

2p+3-3

2p

Then divide both sides by 2:

\dfrac{2p}{2}

p

3 0
3 years ago
Read 2 more answers
PLEASEEEEEE HELP IM BEGGING SOMEONE PLEASEEEEE HELPPPPPPPPPPPPPP
melisa1 [442]

Answer:

1.105°

angle relationship=vertical angles

2.112°

angle relationship=interior angles

Step-by-step explanation:

1.180-75=105

2.180-68=112

#Carry on Learning

6 0
3 years ago
During her first year of college, Sara put $2000 in the bank to save for a trip to Italy after graduation. The money earned 3% s
vodomira [7]

Answer:

<u>Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy.</u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Investment of Sara during her 1st year of college = US$ 2,000

Duration of the investment = 4 years

Annual interest rate = 3%

2. Let's find the future value of this investment after 4 years, using the following formula:

FV = PV * (1 + r) ⁿ

PV = Investment of Sara during her 1st year of college = US$ 2,000

number of periods (n) = 4

rate (r) = 3% = 0.03

Replacing with the real values, we have:

FV = 2,000 * (1 + 0.03) ⁴

FV = 2,000 * (1.03) ⁴

FV = 2,000 * 1.12550881

<u>FV = 2,251.02</u>

<u>Sara will have US$ 2,251.02 in the bank after 4 years for her trip to Italy.</u>

7 0
3 years ago
Read 2 more answers
Can someone actually help me w this ?
Kay [80]

Answer:

the first 1

Step-by-step explanation:

8 0
3 years ago
What is the value of y?
Alenkasestr [34]

Answer:

I'm not sure but... here you go

7 0
3 years ago
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