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klasskru [66]
3 years ago
7

Can someone do all of those PLEASE , and show your work ! Will definitely mark as brainlest !!

Mathematics
1 answer:
Aleks [24]3 years ago
7 0

Answer:

\displaystyle x=\frac{64}{3}

Step-by-step explanation:

<u>Similar triangles</u>

If two triangles have the same internal angles the AAA theorem of similarity is met, thus the triangles are similar.

The lengths of the sides of similar triangles are proportional.

To find x, we relate the heights of the triangles with their bases. Thus,

\displaystyle \frac{32}{x}=\frac{12+6}{12}

\displaystyle \frac{32}{x}=\frac{18}{12}

Solving for x:

\displaystyle x=\frac{32*12}{18}

Simplifying:

\displaystyle x=\frac{64}{3}

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Which statements are TRUE? Select all that apply. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64
valentinak56 [21]

Answer: See explanation

Step-by-step explanation:

a. Marisa drives 112 miles in 1 hour and 45 minutes, which means her speed is 64 miles per hour.

Speed = Distance / Time

= 112 / 1 45/60

= 112 / 1 3/4

= 112 × 4/7

= 64 miles per hour.

TRUE

b . If 6 pens cost $7.74, then 7 pens cost $9.03.

Cost of one pen = $7.74/6 = $1.29

Cost of 7 pens = $1.29 × 7 = $9.03

TRUE

c. If Raymond drives at a speed of 57 miles per hour, then it takes him 4 hours and 10 minutes to drive 256.5 miles.

Speed = Distance / Time

Speed = 256.5 / 57 = 4.5 = 4 hours 30 minutes

FALSE

d. If 17 identical cans of soup cost $38.59, then 3 of the cans must cost $6.81.

Cost of one can = $38.59 / 17 = $2.27

Cost of 3 cans = $2.27 × 3 = $6.81

TRUE

e. Mr. Mayes buys two dozen eggs for $8.40, which means that he pays 70 cents per egg.

A dozen = 12

2 dozens = 12 × 2 = 24

Cost of one egg = $8.40 / 24 = 0.35 = 35 cents

FALSE

8 0
3 years ago
Olivia spent $18.00 of the $21.00 from
nexus9112 [7]

Answer:

6/7

Step-by-step explanation:

18/21 dollars is simplified when you divide the fraction by 3 on each number. So you get 6/7 of her money was spent.

3 0
3 years ago
Mandy used the graph to write the equation of the line it represents. She took these steps. 1. y−intercept = (0, 2) 2. Slope = r
Katyanochek1 [597]

Based on the information given about the equation, y will be 0.5x + 2.

<h3>How to illustrate the equation?</h3>

From the information given, it should be noted that the equation of the line it represents was given and the y intercept is = (0, 2).

The function to represent y will be:

y = mx + b

y = (1/2)x + 2

y = 0.5x + 2

In conclusion, y = 0.5x + 2.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

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