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aivan3 [116]
2 years ago
6

The triangles are similar.

Mathematics
1 answer:
son4ous [18]2 years ago
3 0

Answer:

x = 21

Step-by-step explanation:

Using ratios:

75 : 25 = x : 7

75/25 = x/7

3 = x/7

21 = x

Using Pythagoras' Theorem a² + b² = c², where a and b are the legs and c is the hypotenuse of a right triangle:

72^2+x^2=75^2

\implies x^2=75^2-72^2

\implies x=\sqrt{75^2-72^2}

\implies x=21

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3 years ago
Ephraim took a friend for a birthday dinner. The total bill for dinner was $30.29 (including tax and a tip). If Ephraim paid a 2
notka56 [123]

Answer:

x= 30.29 (1-0.223) = 23.54

Ephraim paid a 22.3% tip, what was his bill before adding the tip?

23.54

Step-by-step explanation:

For this case we assume the following notation:

T= 30.29 represent the total paid for the dinner

x represent the amount before adding the tip

f =0.223 represent the fraction of the total amount destined to the tip

Based on this we can create the following relationship between T and x:

T = f*T + (1-f)T = f*T + x

And we can solve for x from the previous equation like this:

x = T - f*T

Taking T common factor we got:

x = T (1-f)

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23.54+6.75 = 30.29 representing the total cost.

So then the correct answer for the question:

Ephraim paid a 22.3% tip, what was his bill before adding the tip?

23.54

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