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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 value of x in the equation<br> 3x - y = 30, when y = 15?
Daniel [21]

Answer:

x = 15

Step-by-step explanation:

3x - y = 30

Given;

y = 15

To find;

value of 'x'

Putting the value of y in the given equation;

3x - 15 = 30

3x = 30 + 15

3x = 45

x = 45/3

x = 15

7 0
3 years ago
Read 2 more answers
Manuel thinks the tens digit goes up by 1 in these numbers. Do you agree? Explain. 460,470,480, 490,500,510
laila [671]

Answer:

Manuel is correct, since adding 10 is the same as the tens digit going up by 1.

Step-by-step explanation:

It is important to know the concepts of units, tenths and cents.

For example

1 = 1 unit

10 = 1*10 + 0 = The tens digit is one the unit digit is 0

21 = 2*10 + 1 = The tens digit is two and the unit digit is 1.

120 = 1*100 + 2*10 + 0 = The cents digit is 1, the tens digit is two and the unit digit is 0.

So

Adding 1 is the same as the unit digit going up by 1.

Adding 10 is the same as the tens digit going up by 1.

Adding 100 is the same as the cents digit going up by 1.

In this problem, we have that:

460,470,480, 490,500,510

Each number is 10 added to the previous, that is, the tens digit going up by 1.

Manuel thinks the tens digit goes up by 1 in these numbers. Do you agree?

Manuel is correct, since adding 10 is the same as the tens digit going up by 1.

7 0
3 years ago
the base of a prism has a square base with side length 8cm. The height of the prism is 20cm. Find the surface area and the volum
yanalaym [24]
Area: 64
Volume 1,280
8 0
4 years ago
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What is 2x+5y=20 3x-10y=37
Maru [420]
I'm not sure how you want me to answer this question? WHat are you tryng to solve for?
7 0
3 years ago
A recursive rule for an arithmetic sequence is a1=−3;an=an−1+7a1=−3;an=an−1+7.
tester [92]
<span>To summarize the process of writing an explicit formula for an arithmetic sequence:
</span><span>
1. Determine if the sequence is arithmetic (Do you add, or subtract, the same amount from one term to the next?)<span>

2.</span> Find the common difference. (The number you add or subtract.)

3. Create an explicit formula using the pattern of the first term added to the product of the common difference and one less than the term number.

I hope my guide has come to your help. God bless and have a nice day ahead!
</span>
5 0
4 years ago
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