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levacccp [35]
3 years ago
6

HELP! 7th grade math! GIVE CORRECT ANSWER AND YOU WILL GET BRAINLIEST!!

Mathematics
1 answer:
Ksenya-84 [330]3 years ago
3 0

Answer:

ED = 4 units

Step-by-step explanation:

Observing the figure given to us, we can deduce the following:

=>CE = EA (because point E is the midpoint of CA)

Therefore, if CE = EA = x unit, CA = 2x

=>Also, CD = DB (because point D is the midpoint of CB)

Therefore, if CD = DB = y, CB = 2y

Thus, CA/CE = CB/CD = 2 (2x/x = 2y/y)

Going by the above ration we got comparing the ratio of the corresponding sides of ∆CAB and ∆CED (2:1), we can conclude that ∆CAB ~ ∆CED

Using the ratio of the corresponding sides of ∆CAB to ∆CED = (2:1), measure of segment ED is calculated below:

AB/ED = 2/1

8/ED = 2/1

Cross multiply

8 × 1 = 2 × ED

Divide both sides by 2

8/2 = ED

ED = 4 units

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Klio2033 [76]

Given that cost of 1 drinks in a glass bottle = $2.00

Given that cost of 1 drinks in an aluminum can = $0.50

Given that cost of 1 drinks in a plastic bottle = $1.50

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----------

Given that refund on 1 drinks in a glass bottle = $0.05

Given that refund on 1 drinks in an aluminum can = $0.10

Given that refund on 1 drinks in a plastic bottle = $0.15

Then sum of refunds on 1 drink from each will be = 0.05+0.10+0.15


Given that you plan to recycle all of the items you purchased then total refund will be given by 2(0.05+0.10+0.15)


Hence expression to represent the amount of refund you will receive is 2(0.05+0.10+0.15).

Using distributive property, we can rewrite it as:

2(0.05+0.10+0.15)=2*0.05+2*0.10+2*0.15

This is final answer of part B.


----------

Net cost is given by difference of total cost and total refund

Net cost = 2(2.00+0.50+1.50) - 2(0.05+0.10+0.15)

= 2*2.00+2*0.50+2*1.50 - (2*0.05+2*0.10+2*0.15)

= 4+1+3 - (0.10+0.20+0.30)

= 8 - 0.60

= 7.40

Hence net cost is $7.40

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