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GalinKa [24]
3 years ago
12

Micheal has been awarded a pay rise of 4%.His salary is £ 24 492 What was his apart before?

Mathematics
1 answer:
Nesterboy [21]3 years ago
6 0
Because there was a pay rise, we can write the equation as x+0.04x = 24.492 and solve for x.

x+0.04x = 24.492
1.04x = 24.492
x=23.55

His original pay was £23.55
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Since BC is parallel to DE, triangles ABC and ADE are similar. What are the lengths of the unknown sides?
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Answer:

C

Step-by-step explanation:

Step 1: find BC

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BC = \frac{AB}{AD} x DE

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Step 2: use Pythagorean theorem to find AC and / or AE

Consider triangle ABC,

by Pythagorean theorem,

AB² + BC² = AC²

AC² = 6² + 8² = 100

AC = √100 = 10 (answer... we can see that C is the only one with AC=10.

Step 3: Verify.. even though we know that it is C because AC  = 10,  you can verify that the ansewer is correct by finding CE and confirming that CE=5

By using similar triangles ABC and ADE,

AC/AE = AB / AD

AE = AD/AB x AC = 12/8 x 10 = 15

CE = AE - AC = 15 - 10 = 5 (answer confirmed)

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3 years ago
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B

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