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3 years ago

Identify the property that is justifies the statement: If a=b, then a+c=b+c

1 answer:

8 0

Easy

equality property of addition

if a=b and c=c, then a+c+b+c

basically
you can do anything to an equaiton as long as you to it to both sides

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John is driving around town. When he reaches the gas station, he notes that he has traveled 20 miles. He reaches home 2 hours la

Troyanec [42]

Answer:

$d=5t+20$

Step-by-step explanation:

The equation that will model this situation will be of the form

$d=mt+b$

where $t$ is the time in hours john has traveled since the gas station, and $d$ is the distance.

Now we know that John has already traveled 20 miles when he is at the gas station, this means at $t=0$ , $d=20$ ; or

$20=m(0)+b$

$\boxed{b=20}$

Thus we have

$d=mt+20$ .

Now we need to figure out $m.$

When John reaches home 2 hours later he notes that he has traveled 30 miles, which means he has traveled 30 - 20 = 10 miles; thus we have

$m= \frac{\Delta d}{\Delta t} =\frac{10 miles}{2hours} =5$

$\boxed{m=5}$

Now we have the full equation:

$\boxed{d=5t+20}$

8 0

3 years ago

These triangles are similar. find Y and X

CaHeK987 [17]

It these triangles are similar, then the sides of the triangles are in proportion:

$\dfrac{y}{10}=\dfrac{y+4}{15}$ cross multiply

$15y=10(y+4)$ use distributive property

$15y=10y+40$ subtract 10y from both sides

$5y=40$ divide both sides by 5

$\boxed{y=8}$

$\dfrac{x}{4}=\dfrac{6}{8}$ cross multiply

$8x=(4)(6)$

$8x=24$ divide both sides by 8

$\boxed{x=3}$

3 0

3 years ago

What is the perimeter of △GHI?

ZanzabumX [31]

The answer is 27 I believe

5 0

3 years ago

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A scale model of a boat is 6 inches long. The actual boat is 42 feet long. Which statement(s) are true??

Vitek1552 [10]

Answer:

B. 1 in = 7 ft

Step-by-step explanation:

Since on the scale the boat was 6 inches and the actual boat was 42 feet, we need to divide to see how many feet correlate to the number on inches on the scale. So we do 42 / 6, which equals 7. This means that for every inch on the scale, it will be 7 feet in real life.

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3 years ago

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What is the slope of a line whose graph contains the points (−2,−6) and (0,0) ?

torisob [31]

Answer:

It’s D

Step-by-step explanation:

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3 years ago