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just olya [345]
3 years ago
9

If two _____ line are cut by a ______, then the two pairs of alternate interior angles are congruent

Mathematics
1 answer:
dsp733 years ago
7 0
Answer


If two [ parallel ] lines are cut by a [ transversal ], then the pairs of alternate exterior angles are congruent.
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Answer: 15 inches is the height of Keisha's fish tank.

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Next, divide 1800 by 120.

1800 divided by 120 is 15.

So, 15 inches is the height of the fish tank.

5 0
3 years ago
Select all graphs that represents a function
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The bottom one

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How microentrepreneurs change the community/why are they important/how have they changed Africa
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julia-pushkina [17]

First, we obtain the gradient (slope) of the first parallel line

\text{gradient, m}_1\text{ = }\frac{y_2-y_1}{x_2-x_1}\text{ = }\frac{3-(-3)}{2-(-4)}=\frac{6}{6}\text{ = 1}

Recall that since both lines are parallel, we have that,

m_1=m_2

Thus

m_2\text{ = 1}

Hence, we can find the equation of the parallel line given that it passes through the points (-4, -3)

Using

\begin{gathered} y\text{ = mx + c} \\ \text{where m = m}_2\text{ = 1} \\ \text{and x = -4 ,  y = -3, we have} \\ -3\text{ = 1(-4) + c} \\ -3\text{ = -4 + c} \\ 4\text{ - 3 = c} \\ c\text{ = 1} \\ \text{Thus, the equation of the line is y = (1)x + 1} \\ y\text{ = x + 1} \end{gathered}

5 0
1 year ago
from 1970 to 1980 the consumer price index increased from 38.8 to 82.4. If a container of onion dip cost $0.48 in 1970 and the p
Vikki [24]
We need to find the percent increase from 38.8 to 82.4, so

x * 38.8 = 82.4
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x = 2.1237

Multiply by 100 to convert to percentage (move decimal 2 places to the right)

2.1237 = 212.37%

Now we can apply this percentage increase to the onion dip...

0.48 x 212.37% =
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Round to the nearest cent $1.02 is the amount of increase.  Now add it to the original price to get today's price...

$1.02 + .48 = $1.50
 
5 0
3 years ago
Read 2 more answers
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