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BartSMP [9]
2 years ago
6

Determine if the two figures are congruent and explain your answer using transformations.

Mathematics
1 answer:
IRISSAK [1]2 years ago
7 0

Answer:

Comparing each pair of lines,

AB and EF,

BC and FG,

CD and GH,

DA and HE.

For, AB and EF,

If we take a look at both the lines they are the mirror image of each other, the distance between point A and B is 1 unit upwards, and 2 unit sidewise, similarly between point E and F the distance is 1 unit upwards, and 2 unit sidewise. therefore, the length of both the lines is the same.

Also, we can use the formula, for the distance between two points on a coordinate plane,

,

As we can see in the image,

A = (-1, 1),

B = (-3, 2),

C = (-4, 4),

D = (-2, 6),

E = (2, 0),

F = (4, 1),

G = (5, 3),

H = (3, 5),

Solving using the formula,

AB = EF = √5,

BC = FG = √5,

CD = GH = √8,

DA = HE = √26,

Therefore, the length of all the sides of the polygon are the same,

Hence, the two figures are congruent.

Step-by-step explanation:

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Fifty-four is what<br> % of 60.
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Answer:

I'm pretty sure it's 90%

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
David goes into a candy store with $5.00. He buys 9 peppermints for $0.15 each and some sour candies. Each sour candy costs $0.2
Agata [3.3K]

Answer:

5 ≥ 9*.15 + x*.25

He can buy up to 14 candies

Step-by-step explanation:

Total money ≥number of peppermints * cost per peppermint + number of sour candies * cost per sour candy

We know he has 5 dollars.  He bought 5 peppermints at $.15 cents each and x sour candies at $.25 each

Substituting in

5 ≥ 9*.15 + x*.25

5≥1.35 + .25x

Subtract 1.35 on each side

5-1.35 ≥ 1.35-1.35+.25x

3.65≥.25x

Divide by .25 on each side

3.65/.25 ≥ .25x/.25

14.6 ≥ x

He can buy up to 14 candies.  You can't buy part of a candy

6 0
3 years ago
4 divided by 2/9? If you could, please also explain.
shtirl [24]
You do 4/1 divided by 2/9

4 2
_ divided by _

1 9

Equals 18

(You have to multiply by the reciprocal)

4/1 times 1/4
And
2/9 times 1/4

Hope I helped!!!
7 0
3 years ago
PLZ HELP ASAP A candy machine contains spherical candies. Each candy is solid and has a diameter of 0.25 in.
NikAS [45]
Each candy has a volume of about 8.18 * 10^-3 which is simplified to .00818
5 0
3 years ago
What is nine plus ten? If you get it right I’ll give you brainliest
Finger [1]

Answer:

19

Step-by-step explanation:

ok is this just a joke?

nine plus ten

9 + 10 = 19

7 0
3 years ago
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