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Aleksandr [31]
3 years ago
7

5. It is known that AABC = ADEF. If AB = 5, BC = 10, AC = 8, and DF = 2x-6, then solve for the value of

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

Answer:

The value of x is 7

Step-by-step explanation:

we know that

If two figures are congruent, then the corresponding angles and the corresponding sides are equal

In this problem

Triangles ABC and DEF are congruent

ABC≅DEF

therefore

AB=DE ----> equation A

AC=DF ----> equation B

BC=EF ----> equation C

Substitute the given values in the equation B

8=2x-6

Solve for x

2x=8+6

2x=14

x=7

therefore

The value of x is 7

The draw in the attached figure

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Henry says he can write an 8 in each box to make both equations true. Is he correct?
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yes it's true because 3 groups of 8 is 24

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4/5 equivalent fraction?
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6 0
3 years ago
Mindy, a local artist, sells a piece of art at the pizza shop for $15, and the shop takes 15 percent commission. Instead of rece
Yuliya22 [10]
In this question the first thing that needs to be determined is the commission taken by the pizza shop and the amount of money that falls in the part of Mindy.
We already know that Mindy sells the piece of art for $15 and the pizza shop takes 15% commission on it.
Then
Commission taken by the pizza shop = (15/100) * 15
                                                             = 225/100
                                                             = 2.25 dollars
So the pizza shop takes a commission of $2.25 from the sales of each art piece from Mindy.
Then amount that falls in Mindy's part = (15 - 2.25) dollars
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Now Mindy is not taking the money but taking a pizza worth rupees $12 including 5% sales tax.
Initially it looks like Mindy is making a profit of $0.75 plus the pizza worth $12. So it is a fair deal for Mindy. Now coming to the part of the pizza shop owner, we find that he also gains extra $2.25 from this deal. So it is a fair deal for both the shop keeper and Mindy.
4 0
4 years ago
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7. Diana took 2 hours to cycle from town X to town Y. Her average speed was 10 kilometers per
motikmotik

Answer:

a.) 20 kilometers

b.)1.67 hours

Step-by-step explanation:

a.) formula= speed =distance/time

Speed= 10km/hr

Distance=unknown

Time=2hrs

Therefore from formula, distance=speed x time

10 x 2

20 kilometers

b.) If average speed is increased by 2km/hr then

total speed= 2+10=12km/hr

Distance remains constant therefore distance= 20km

Therefore time =distance/speed

20/12

= 1.67 hours

7 0
3 years ago
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