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netineya [11]
3 years ago
12

The ratio of forks to spoons in the cafeteria is 15:6. If there are 45 forks, how many utensils are there altogether?

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
4 0

Answer:

15/6 = 45/x

18 = x,

45 + 18 = 63 utensils

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given by Pythagoras theorem.

  • Part A: <u>ΔABC is similar to ΔADC</u>
  • Part B: ΔABC and ΔADC are similar according <u>AA similarity postulate</u>
  • Part C: <u>DA = 6</u>

Reasons:

Part A:

∠A = 90°

Segment AD ⊥ Segment BC

Location of point D = Side BC

Part A: In triangle ΔABC, we have;

∠A = 90°, ∠B = 90° - ∠C

In triangle ΔADC, we have;

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Part C: The length of DB = 9

The length of DC = 4

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In triangle ΔABD, we have;

∠BDA = 90°= ∠ADC

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\displaystyle \frac{\overline{DA}}{\overline{DC}}  = \frac{\overline{BD}}{\overline{DA}}

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Which gives;

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\overline{DA} = √(36) = 6

\overline{DA}<u> = 6</u>

Learn more here:

brainly.com/question/2269451

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