Find the equation of the line parallel to the given line and passing through the given point.y=-3x+2; (-2,-6)

Answers

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Find the measures of the numbered angles for each parallelogram. (See attachment)

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Since the figure is a parallelogram, angle 3 is an alternate interior angle with the 50 deg. angle. Hence, m<3 = 50 deg. Angle 2 is supplementary with 82 deg. angle, therefore m<2 = 180 deg - 82 deg = 98 deg. Using angles 2 and 3, angle 1 can be calculated since the total interior angle of a triangle is 180 deg. m<1 = 180 - 98 - 50 = 32 deg.
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<2 = 180 - 82 = 98

<3 = 50

<1 = 180- ( 98 + 50)
<1 = 180 -148
<1 = 32

answer:
<1 = 32
<2 = 98
<3 = 50

Look at the image of the table of values below. Over which interval of x is the average rate of change the largest?

Answers

Between 5 & 8.

$\displaystyle {21-15\over 8-5} = 6/3 = 2$ is the largest rate of change, differentiating from $5\over3$ and $11\over6$

Emily ran her first lap in 75 seconds she ran her second lap in 69 seconds using percentages how much better was her second lap when comapared to her first lap

Answers

Answer:

Her second lap was 8% better when compared to her first lap.

Step-by-step explanation:

Given:

Emily ran her first lap in 75 seconds she ran her second lap in 69 seconds.

Now, to find how much better was her second lap when compared to her first lap.

Emily ran her first lap in 75 seconds.

Emily ran her second lap in 69 seconds.

So, we get the difference in seconds:

$75-69=6\ seconds.$

Thus, in her second lap she was 6 seconds better than first.

Now, to get the percentage of her first lap better than second:

$(6)/(75)* 100$

$=0.08* 100$

$=8\%.$

Therefore, her second lap was 8% better when compared to her first lap.

For every penny Sam puts into his bank, Tara puts 4 pennies into her bank. If Sam puts 10 pennies into his bank, how many pennies does Tara put into her bank? Answer options with 4 options

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Answer: If Tara puts 4 pennies in for every one Sam does then after he puts in 10 she would of put 40.

She put in 40 pennies. Hope this helps ;)

Identify whether the given value of the variable makes the equation true. –5r – 6 = –26; r = 4

A.false

B.true

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- 5 r - 6 = - 26 for r = 4

- 5 * ( 4 ) - 6 = - 26

- 20 - 6 = - 26

- 26 = -26

B) true

hope this helps!

How do you convert gallons to liters? Explain

Answers

Multiply the quantity in gallons by (3.785 liter/gal) .
The product is the same quantity in liters.

1 gallon is equal to about 3.785 liters that's what the scientific community has decided on.

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