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irga5000 [103]
3 years ago
13

ΔXYZ ≅ΔFED where m∠X = 50°, m∠Y=30°, m∠D=2y+10, XY =9 and EF=3x−12. Solve for x and y.

Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0

Answer:

The value of x is 7 and value of y is 45

Step-by-step explanation:

In ΔXYZ

∠X = 50°, ∠Y=30°

To Find ∠Z we will use angle sum property of triangle (Sum of all angles of triangles is 180°)

So,∠X + ∠Y + ∠Z = 180°

So,50°+30°+ ∠Z = 180°

∠Z=180°-80°

∠Z=100°

Now we are given that ΔXYZ ≅ΔFED

So, the corresponding sides are equal and the corresponding angles are equal.

So, ∠Z= ∠D

So, 100=2y+10

100-10=2y

90=2y

45=y

Now XY = EF

So, 9 = 3x-12

21=3x

7=x

Hence The value of x is 7 and value of y is 45

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Answer:

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which agrees with the third option (C) shown on the list of possible answers

Step-by-step explanation:

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3 years ago
Fabio and Gwen are saving money to buy a new gaming station. They need at least $510 to purchase the new gaming station. Gwen we
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x represents the number of lawns weeded by Gwen and y represents the number of dogs walked by Fabio.

Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog.

So, for x number of weeds, Gwen earned 12x and for y number of dogs walked, Fabio earned 9y.

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4 years ago
How do I work this out oof
kakasveta [241]

I am so sorry for giving you the wrong answer at first.

Here's the processs

1x=-0.5555

Move the decimal point in the repeating decimal one space forward

10x=-5.55555

Then subtract

10x=5.5555

x=-0.5555= 9x=-5

Divide both sides by 9

9x=-5

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-5/9 is your final answer!

Hope this helps!

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3 years ago
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