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3 years ago

If M is the midpoint of

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

6 0

Answer:

A. 10

Step-by-step explanation:

Based on the midsegment theorem, thus:

2x + 7 = ½(7x - 16)

Multiply both sides by 2

2(2x + 7) = 7x - 16

4x + 14 = 7x - 16

Combine like terms

4x - 7x = -14 - 16

-3x = -30

Divide both sides by -3

x = 10

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Two cars leave Denver at the same time and travel in opposite directions. One car travels 10 mi/h faster than the other car. The

MaRussiya [10]

The speed of one car is 'S'. The speed of the other car is (S + 10).

In 5 hours, the first car travels (5S) miles, and the other car travels 5(S + 10) miles.

Since they're going in opposite directions, the distance between them at any time
is the sum of the distance that each one has traveled.

500 = (5S) + 5(S + 10)

500 = 5S + 5S + 50

500 = 10S + 50

Subtract 50 from each side:

450 = 10S

Divide each side by 10

S = <u>45</u>

S + 10 = <u>55</u>

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4 years ago

It takes Emmanuel 20 minutes to walk to school. It takes Liah 80% as long to walk to school. How long does it take Liaqh to walk

77julia77 [94]

Answer:

16 minutes

Step-by-step explanation:

80% of 20 is

80/100 * 20 = 16

6 0

3 years ago

Determine whether The given segments have the same length. Justify your answer

Semenov [28]

We know the distance formula is

$\sqrt{ (x_{2}-x_{1})^2+ (y_{2}-y_{1})^2 }$

Here A( -4,2) and B(1,4)

So length of AB

= $\sqrt{(1-(-4))^2+(4-2)^2} =\sqrt{5^2+2^2} =\sqrt{29}$

Also C(2,1)

Length of BC

= $\sqrt{(2-1)^2+(-1-4)^2} =\sqrt{1^2+(-5)^2} =\sqrt{26}$

So we can see that length of AB is not equal to length of BC

11.

Now AB = $\sqrt{29}$

Also C(2,-1) & D(4,4)

Length of CD

= $\sqrt{(4-2)^2+(4-(-1)) ^2} =\sqrt{2^2+5^2} =\sqrt{29}$

Yes AB = CD

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4 years ago

The peso is the currency of Mexico. On October 17, 2016, the exchange rate for 1 Mexican peso was $0.053 U.S. If a traveler exch

Allushta [10]

1 peso = 0.053 dollars.

x pesos = 400 US dollars.

1/x = 0.053 / 400 Cross multiply

400 * 1 = 0.053 x Divide by 0.053

400/0.053 = 0.053*x / 0.053

7547.17 pesos which rounded is

Answer: 7547 pesos

4 0

3 years ago

Read 2 more answers

Answer for branliest

Igoryamba

Answer:

1/3

Step-by-step explanation:

P(5) Represents the probability that the spinner will land on 5 after being spun once. Since 5 is one of three options on the wheel, the probability is 1/3

4 0

3 years ago