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Rudiy27
3 years ago
12

Arthur knows that if he invests $1000 in a bank account, in one year he'll earn $15 in interest. If Arthur invest $24,500

Mathematics
1 answer:
nevsk [136]3 years ago
4 0
He would pay 367.50 in interest for the year if he invested 24,500
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ΔXYZ ≅ΔFED where m∠X = 50°, m∠Y=30°, m∠D=2y+10, XY =9 and EF=3x−12. Solve for x and y.
Delicious77 [7]

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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Simplify the expression. Write your answer using decimals <br><br> 22.5+7(n-3.4)
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3 years ago
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Help on this please?
Anna [14]

Answer:

angle 1 should equal to 54.

angle 2 should equal to 126.

Step-by-step explanation:

2x - 8 + 4x + 2 = 180

2x + 4x - 8 + 2 = 180

6x - 6 = 180

6x - 6 + 6 = 180 + 6

6x = 186

6x ÷ 6 = 186 ÷ 6

x = 31

---------------------------------------------

2x - 8 = A1

2(31) - 8 = A1

62 - 8 = A1

54 = A1

-----------------------------------------------

4x + 2 = A2

4(31) + 2 = A2

124 + 2 = A2

126 = A2

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2 years ago
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