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lianna [129]
3 years ago
7

Given two parallel lines cut by a transversal same side interior angles are congruent

Mathematics
1 answer:
lozanna [386]3 years ago
5 0
False. The postulate states: If two <span> parallel</span> lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary.
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On Julie's trip to the mountains she traveled 192 miles using 6 gallons of gas. On the return trip she traveled 235 miles on 8 g
Tamiku [17]

Julie travelled with 30.5 miler per gallon.

<u>SOLUTION: </u>

Given, On Julie's trip to the mountains she traveled 192 miles using 6 gallons of gas.  

On the return trip she traveled 235 miles on 8 gallons of gas.  

We have to find how many miles per gallon did Julie get on the way there?

We know that,

\text { number of miles per gallon }=\frac{\text { total distance travelled }}{\text { total number of gallons }}

Substituting the values we get,

=\frac{192+235}{8+6}=\frac{427}{14}=30.5 \text { miles per gallon }

Hence, Julie travelled with 30.5 miler per gallon on the way there on mountains.

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B is the midpoint of AC and E' is the midpoint of BD. If A(-9,-4), C(-1, 6), and E(-4,-3), find the coordinates of D.
Ipatiy [6.2K]
The coordinates for D are (-4, -7)

First we must locate point B as it is vital to finding the midpoint of BD. To do this, we take the average of the endpoints AC since B is its midpoint. 

x values = -9 + 1 = -8
Then divide by 2 for the average -8/2 = -4

y values = -4 + 6 = 2
Then divide by 2 for the average 2/2 = 1

Therefore B must be (-4, 1)

Now we know the values of E must be the average of B and D. So we can write equations for each coordinate since we know they are averages. 

x - values = (Bx + Dx)/2 = Ex
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-4 + Dx = -8 ---> add -4 to both sides
Dx = -4

y - values = (By + Dy)/2 = Ey
(1 + Dy)/2 = -3 ---> multiply both sides by 2
1 + Dy = -6 ---> subtract 1 from both side
Dy = -7

So the coordinates for D must be (-4, -7)
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3 years ago
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