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3 years ago

Which pair of triangles is Alessandra referring to, and which criterion should she use for establishing congruence?

Mathematics

1 answer:

Doss [256]3 years ago

8 0

Answer:

△ABCtriangle and △CDAtriangle, by side-angle-side

Step-by-step explanation:

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Need help ASAP!!! Multiple choice answers

kobusy [5.1K]

Answer:

A. 16.55

Step-by-step explanation:

What we know is the angle of 38° and the hypotenuse is 21. Before we find x (side b), we have to find side a first. TO find that multiply the sine of 38 by 21.

21 * sin(38)

sin(38) calculates to 0.615661475.

21 * 0.615661475

Multiply 21 by 0.615661475

side a = 12.928890975

Now to find x. Use this to find x: √21² - 12.928890975²

√21² - 12.928890975²

Square both numbers

√441 - 167.156221843

Subtract 167.156221843 from 441

√273.843778157

Find the square root of 273.843778157

x ≈ 16.548225831

x ≈ 16.55, so the answer is A.

8 0

3 years ago

Anna enjoys dinner at a restaurant in Washington DC where the sales tax on meals is 5%. She leave a 20% tip on the price of her

Maru [420]

Answer:

52.40

Step-by-step explanation:

Discussion

Suppose the meal starts out as x.

She pays 5% of x as a sales tax

So that brings the total up to 100% + 5% = 105%

Before paying, she pays 20% on x as her tip. The tax does not touch the tip.

So that brings the total up to 100% + 5% + 20% = 125% of this is based on x, the cost of the meal.

So 125% of x = 65.50 change the % to a fraction

125/100 * x = 65.50 Multiply both sides by 100/125

125/100 * 100/125x = 100/125 * 65.50

x = 100/125 * 65.50 Multiply by 100

x = 6550 / 125 Divide by 125

Check

Tax = 5% * 52.40 = 5/100 * 52.40 = 2.62

Tip = 20%*52.40 = 20/100 * 52.40=10.48

Meal = 52.40

Total 65.50 Just as it should

8 0

3 years ago

This is gonna be a 30 0oint question so if you can solve it

USPshnik [31]

Answer:

y = 36

Step-by-step explanation:

Everything in x-column is multiplied by 2, so everything in y-column is divided by 2 as per the inverse function.

=> 72/2

=> 36

5 0

3 years ago

To estimate the number of people in Springfield, population 10,000, who have a swimming pool in their backyard, 250 people were

Andrei [34K]

Answer:

2400 people

Step-by-step explanation:

Let x be the number of people who had a swimming pool in the population of 10,000,

Thus, the ratio of people who had swimming pool to the total population = $\frac{x}{10000}$

Since, out of 250 people 60 had swimming pool,

So, the ratio of the people who had swimming pool to the total population = $\frac{60}{250}$

$\because \frac{x}{10000}=\frac{60}{250}$

$\implies 250x=600000$

$\implies x=\frac{600000}{250}=2400$

Hence, 2400 people in the city might one expect to have a swimming pool.

First option is correct.

8 0

3 years ago

Help me on that one please

hoa [83]

The answer is 363:716

8 0

3 years ago