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Juliette [100K]
2 years ago
15

Point B is on line segment AC. If AB = x + 6, BC = x + 8 and AC = 10, then find the value of x.

Mathematics
1 answer:
kumpel [21]2 years ago
7 0

Step-by-step explanation:

this simply means that the sum of both short segments must be the same as the length of the whole line.

so,

x + 6 + x + 8 = 10

2x + 14 = 10

x + 7 = 5

x = 5 - 7 = -2

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Nancy has a 3.5-pound bag of birdseed. She uses 3/4 of the bag to fill a bird feeder in her garden. Then, she puts 0.25 pounds i
AnnyKZ [126]

Answer:

0.625lb bag of bird seeds

Step-by-step explanation:

She starts with a 3.5 lb bag,

Then she uses 3/4 of the bag, so find the remaining amount in the bag, which would be 1/4 of the original weight;

1/4 * 3.5

= 1/4 * 7/2

= 7/8

Then she removes 0.25 lbs of weight, hence take away 0.25 (the amount removed) from 7/8 (the current weight of the bag).

7/8 - 0.25

= 7/8 - 1/4

= 7/8 - 2/8

= 5/8

So she has a 5/8lb bag of bird seeds or a 0.625lb bag.

5 0
3 years ago
Which property of polynomial addition says that the sum of two polynomials
ArbitrLikvidat [17]

Answer:

The property of polynomial addition that says that the sum of two polynomial is always a polynomial is called closure property of addition or under addition.

Polynomials are closed under addition because when you add polynomials the letters and their exponents do no change, you just add the coefficients of the like terms (those with same letters raised to the same exponents), so the result will be other polynomial of the same kind, except for the terms that cancel (positive with negative) which does not change the fact that the result is still a polynomial.

In mathematics the closure property means that the result of an operation over a kind of "number" will result in a "number" of the same kind.

7 0
3 years ago
Solve the exponential equation for x<br> 64^7x-8 = 1
SOVA2 [1]

X=9/64^7

Hope this helps

7 0
3 years ago
Read 2 more answers
What is the remainder of 10^2017 divided by 1001?
pashok25 [27]
Note: When I use the double equal sign, I mean the triple bar used with modular arithmetic

10^3 = 1000 == -1 (mod 1001)
10^3 == -1 (mod 1001)
(10^3)^672 == (-1)^672 (mod 1001)
(10^(3*672) == 1 (mod 1001)
10^2016 == 1 (mod 1001)
10*10^2016 == 10*1 (mod 1001)
10^2017 == 10 (mod 1001)

Final Answer: 10


5 0
3 years ago
−
irakobra [83]

Answer: =296

Step-by-step explanation: −2*4=-8+20=28*3=84+48=132*2=164−2=162*4+20*3+48*2= 296

8 0
3 years ago
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