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2 years ago

If B is the midpoint of line AC, AC = CD, AB = 3x+4, AC=11x-17, and CE = 49, find DE. (Show work)

Mathematics

1 answer:

larisa [96]2 years ago

3 0

Answer:

2(3x+4) = 11x-17

6x+8 = 11x-17

25=-5x

x=-5

11x-17

55-17

AC = 38

CD = 38

49-38 = 11

DE = 11

Let me know if this helps!

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Distributive Property<br>3(2x + 2)

tresset_1 [31]

Answer: 6x+6

Step-by-step explanation:

3*2x=6x

3*2=6

Therefore 3(2x+2) = 6x+6

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2 years ago

Colin & Brian share a lottery win of £2100 in the ratio 4 : 1. Colin then shares his part between himself, his wife & th

Paraphin [41]

Answer:

His wife gets $336 more than his son.

Step-by-step explanation:

Colin and Brian:

Ratio of 4:1.

So Colin gets $\frac{4}{4+1} = \frac{4}{5}$ of the prize.

$\frac{4*2100}{5} = 1680$

Colin got $1680. Dividing between himself, his wife and their son:

Ratio of 2:5:3.

So Colin gets $\frac{2}{2+3+5} = \frac{2}{10}$ , his wife gets $\frac{5}{2+3+5} = \frac{5}{10}$ and his son gets $\frac{3}{2+3+5} = \frac{3}{10}$

Wife:

$\frac{5*1680}{10} = 840$

His wife got $840.

Son:

$\frac{3*1680}{10} = 504$

His son got $504.

How much more does his wife get over their son?

840 - 504 = 336

His wife gets $336 more than his son.

8 0

2 years ago

the value of your house is Rising by 16454 per year. if it is worth 202,420 today what will it be worth in 3 years

tekilochka [14]

251,782.

Just add 3*16,454 to the original number.

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3 years ago

What is the constant of proportionality for the question (-4x + 8y = 0)?

zubka84 [21]

Answer: 1/2

Step-by-step explanation:

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- divide by 8 on both sides to get y=1/2x

2) k is the constant of proportionality

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2 years ago