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jok3333 [9.3K]
2 years ago
13

Find the value of the variable that results in congruent triangles

Mathematics
1 answer:
sdas [7]2 years ago
8 0

Answer:

  y = 5

Step-by-step explanation:

The triangles will be congruent when corresponding sides are congruent. __

We already have ...

  KL ≅ NP . . . = 15 mm

  JL ≅ MP . . . = 22 mm

So, we need ...

  JK ≅ MN

  4y +12 = 32 . . . . substitute given values

This will be the case when ...

  4y = 20 . . . . . subtract 12

  y = 5 . . . . . . . divide by 4

The value of y that makes the triangles congruent is 5.

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3 years ago
Jasmine buys 3 T-Shirts and 3 Hats for $11.25. The next day, he buys 4 T-Shirts and 2 Hats for $10. How much does each T-Shirt a
leonid [27]

Answer: Each shirt costs $1.25, and each hat costs $2.5.

Step-by-step explanation:

Let x= Cost per T-shirt, y = Cost per Hat.

As per given,

3x+3y=11.25        (i)

4x+2y=10             (ii)

Multiply 4 to equation (i)

12x+12y=45          (iii)

12x+6y= 30             (iv)

Eliminate (iv) from (iii), we get

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⇒ y = 2.5

Put value of y in (i)

3x+3(2.5)=11.25

⇒3x+7.5=11.25

⇒3x= 3.75

⇒x= 1.25

Hence, each shirt costs $1.25, and each hat costs $2.5.

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3 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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