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3 years ago

Solve for x, the triangles are similar

Mathematics

1 answer:

elixir [45]3 years ago

5 0

Answer:

x = 12

Step-by-step explanation:

Δ ESR and Δ EGF are similar, then ratios of corresponding sides are equal, so

$\frac{ES}{EG}$ = $\frac{ER}{EF}$ , substitute values

$\frac{45}{12x-3}$ = $\frac{55}{143}$ ( cross- multiply )

55(12x - 3) = 6435 ( divide both sides by 55 )

12x - 3 = 117 ( add 3 to both sides )

12x = 120 ( divide both sides by 12 )

x = 10

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A local television station for a city with a population of 500,000 recently conducted a poll where they invited viewers to call

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Answer:

b. Invalid, because the sample may not be representative of the population.

Step-by-step explanation:

A sample of around 10% of the population is needed to be representative.

In this question:

We have a population of 500,000, and a sample of 10,000.

10,000/500,000 = 1/50 = 0.02 = 2% of the population, so not representative, and option b is correct.

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3 years ago

A patient drinks 5 12ounce cups of coffee daily. The doctor recommends cutting back 60%, how many ounces of coffee can the patie

maksim [4K]

The patient is recommended to take 24 ounces of coffee per day.

Step-by-step explanation:

Patient normal intake of coffee daily = 5 times 12 ounces

= 5 × 12 = 60 ounces

Doctor recommends to cut off 60 % of the normal intake of coffee.

And advised to take only 40 % of the daily intake of coffee.

So 60 % of 60 ounces can be calculated as,

$$\frac{60 \times 60}{100}$ = 36 ounces

40 % of 60 ounces is 24 ounces.

So 60 - 36 = 24 ounces of coffee per day

6 0

3 years ago

There were 576 bottles of water at the snack shop. People bought 469 bottles of water. How many bottles of water are at the snac

MissTica

Answer:

107

Step-by-step explanation:

576-469=107

3 0

4 years ago

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Multiply the number the number of minutes mr frotout spent on long distance calls by .45 the long distance rate then add 33 the

lara [203]

Answer:

0.45m + 33

Step-by-step explanation:

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Assuming the number of long minutes spent on long distance calls by Mr. Frotout to be $m$ , we can express the given situation as follows:

$0 . 4 5 m + 3 3$

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4 years ago

Look at the screenshot, please. (no links)

elena-s [515]

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3 years ago

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