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iris [78.8K]
3 years ago
5

What theorem shows ACE = BCD

Mathematics
1 answer:
RideAnS [48]3 years ago
8 0

Answer:

SAS

Step-by-step explanation:

in two triangles

if EC=DC

AC =BC

M<ECA =M<DCB "V.O.A"

THEN triangle ACE = triangle BCD

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A 1,900 square foot house sold for 165,000. what is the price per square foot?
enyata [817]

Answer:

$86.84

Step-by-step explanation:

165,000 divided by 1,900 is 86.8421053 but since you are wanting the price/ per sq. ft. then it would most likely be $86.84 and not rounded.

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3 years ago
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Giselle pays $210 in advance on her account at the athletic club. Each time she uses the club, $15 is deducted from the account.
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3 years ago
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Write an equation of the line that passes through (2,5) and is parallel to the line 2y = 3x + 10.
Advocard [28]

Answer:

y = 3/2x - 8  hope I helped

Step-by-step explanation:

To find the equation of a line, we need a point and a slope. We're given a point, and we can easily get the slope. First let's solve 2y = 3x + 10 for y so we can get the slope (recall that y = mx + b is the slope-intercept form, and m is your slope).

2y = 3x + 10  --> almost there already, just divide everything by 2 to get y by itself.

y = 3/2x + 5 --> now you have it in the y=mx + b form, so your slope is 3/2

They asked for the parallel line, remember parallel lines have the same slope, therefore you use the same slope.

Now we know that our slope is m = 3/2 and our point is (2, -5)

You can always find the equation of a line using the Point-Slope Formula:

y - y1 = m(x - x1)    --> our x1 is 2 and our y1 is -5, and slope is 3/2

y - (-5) = 3/2(x - 2)   --> Be careful when you have minus a negative number, like we do here. It becomes:

y + 5 = 3/2(x - 2)  --> now distribute the 3/2

y + 5 = 3/2x - 6/2

y + 5 = 3/2x - 3  --> now we can subtract 5 from both sides to get it into slope intercept form.

y = 3/2x - 8  --> This is the equation of a line that is parallel to 2y=3x+10 & passes through (2, -5)

7 0
2 years ago
Write the equation of a line parallel to f(x)=1/2x+1 and passing through the point (-5, -2).
STALIN [3.7K]

Answer:

y = 1/2x + 1/2

Step-by-step explanation:

y = 1/2x + b  [Parallel lines have the same slope but different y-intercepts]

-2 = (1/2)(-5) + b  [Plug in the coordinates (-5,-2) to find the y-intercept b]

b = 1/2  [Solve for b]

y = 1/2x + 1/2

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Answer:  

5 Number of rows 3 number of columns 7

6 number of rows 3 number of columns 26

Step-by-step explanation:

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