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disa [49]
3 years ago
13

Calcule o valor de x, sabendo que as retas “e” “f” e “a” são paralelas

Mathematics
1 answer:
Julli [10]3 years ago
8 0

Answer:

c

Step-by-step explanation:

\frac{x}{25}=\frac{60}{40}\\\\By\:Thales's\:Theorem\\\\x=\frac{60*25}{40}\\\\x=\frac{60*5}{8}\\\\x=\frac{15*5}{2}\\\\x=\frac{75}{2}\\\\x=37.5

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Gorge was able to solve 36 math problems in 15 muinutes. Urban was able to solve 42 math problems in 20 muinutes. Who was able t
MrRissso [65]

Answer:

Urban, 2.1 mins

Step-by-step explanation:

36 ÷ 3 = 2 (Gorge's)

42  ÷ 2 = 2.1 (Urban)

3 0
3 years ago
Marshall left home biking at a constant rate of 20 mph. One hour later, it looked like it may rain, so his friend, Brett, set ou
xxTIMURxx [149]

Answer:

First, we need to find how far ahead Marshall was.  Since he had been biking at 20 mph for one hour, he had gone 20 miles.

Next, we need to find how long it will take Brett to catch up to Marshall.  In order to do this, we need to find how much faster Brett is going than Marshall.  We do this by subtracting Marshall's speed from Brett's speed.

60 - 20 = 40.  So, Brett is catching up to Marshall at 40 mph.  Now, we figure out how long it will take for someone going 40 miles per hour to go 20 miles.  We find this by dividing 40 miles per hour by 20.  This is equal to 1/2 hour.  So, it will take Brett 0.5 hours to catch up to Marshall.  This is the same as A, so A is the correct answer.

We can check our answer by seeing how far Marshall and Brett will have gone.  Marshall will have been biking for 1.5 hours, so we multiply 20 * 1.5 = 30.  Marshall went 30 miles.

Brett drove for .5 hours at 60 mph, so he went 30 miles.  Since Brett and Marshall went the same distance, our answer is correct.

4 0
3 years ago
A form of reasoning called_ is the process of forming general ideas and
hodyreva [135]

Answer:

Inductive

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Write 7/9 as a decimal. PLEASE EXPLAIN HOW YOU CALCULATE YOUR ANSWER.
Ymorist [56]

Answer:

0.7 (receering)

Step-by-step explanation:

use a scientific calculator type it in then press the s-d button to get 0.7 (recering)

6 0
2 years ago
A probability model includes P(red) = 27 2 7 and P(blue) = 314 3 14 . Which of the following probabilities could complete the mo
Ivahew [28]

Answer:

(b)\ P(Green) = \frac{3}{8} ; P(Yellow) = \frac{1}{8}

(c)\ P(Green) = \frac{1}{4} ; P(Yellow) = \frac{1}{4}

Step-by-step explanation:

Given

P(Red) = \frac{2}{7}

P(Blue) = \frac{3}{14}

Required

Which completes the model

Let the remaining probability be x.

Such that:

P(Red) +  P(Blue) + x = 1

Make x the subject

x = 1 - P(Red) - P(Blue)

So, we have:

x = 1 - \frac{2}{7} - \frac{3}{14}

Solve

x = \frac{14 - 4 - 3}{14}

x = \frac{7}{14}

x = \frac{1}{2}

This mean that the remaining model must add up to 1/2

(a)\ P(Green) = \frac{2}{7} ; P(Yellow) = \frac{2}{7}

P(Green) + P(Yellow)= \frac{2}{7} + \frac{2}{7}

Take LCM

P(Green) + P(Yellow)= \frac{2+2}{7}

P(Green) + P(Yellow)= \frac{4}{7}

This is false because: \frac{4}{7} \ne \frac{1}{2}

(b)\ P(Green) = \frac{3}{8} ; P(Yellow) = \frac{1}{8}

P(Green) + P(Yellow)= \frac{3}{8} + \frac{1}{8}

Take LCM

P(Green) + P(Yellow)= \frac{3+1}{8}

P(Green) + P(Yellow)= \frac{4}{8}

P(Green) + P(Yellow)= \frac{1}{2}

This is true

(c)\ P(Green) = \frac{1}{4} ; P(Yellow) = \frac{1}{4}

P(Green) + P(Yellow)= \frac{1}{4} + \frac{1}{4}

Take LCM

P(Green) + P(Yellow)= \frac{1+1}{4}

P(Green) + P(Yellow)= \frac{2}{4}

P(Green) + P(Yellow)= \frac{1}{2}

This is true

Other options are also false

6 0
3 years ago
Read 2 more answers
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