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gogolik [260]
3 years ago
14

AC, DF, and GI are parallel. Use the figure to complete the proportion. (7)

Mathematics
2 answers:
hoa [83]3 years ago
6 0

Answer:

Option C

Step-by-step explanation:

We have to find the value in the blank space

We are given that AC,DF and GI are parallel

We know that by middle splitting theorem

We have

\frac{JD}{AD}=\frac{JE}{BE}

Because AC is parallel to DF and A and B are the mid points of JD and JE

\frac{JD}{GD}=\frac{JE}{EH}

Because DF is parallel to GI

Divide  equation one by equation second then we get

\frac{GD}{AD}=\frac{EH}{BE}

Adding one on both sides then we get

\frac{GD}{AD}+1=\frac{BE}{EH}+1

\frac{GD+AD}{AD}=\frac{BE+EH}{BE}

\frac{AG}{AD}=\frac{BH}{BE}

Because BE+EH=BH and AD+GD=AG

Reciprocal on both sides then we get

\frac{AD}{AG}=\frac{BE}{BH}

Hence, option C is true.

Usimov [2.4K]3 years ago
3 0

Answer:

The answer is

C.) BE

AD/AG=BE/BH

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3 0
3 years ago
Margo brought 7 pens from a book store some pens cost $3.00 EACH and the rest cost $4.00 . If she paid a total of 23.00 for the
Montano1993 [528]

Answer:

5

Step-by-step explanation:

Margo bought 7 pens for $23.

Some pens are $3 and some $4.

We need to find how many $3 pens she bought.

Let the number of $3 pens be represented by p and let the number of $3 pens be represented by r. So:

p = $3  and r = $4

Now we know 7 pens were purchased so is we add the number of $3 pens purchased to the number of $4 pens purchased, we will get 7.

p + r = 7

We know that the total cost of the pens is $23 so that equation would be found by takign the $3 pen multiplied by the number of $3 pens purchsed added to the $4 pen multiplied by the number of $4 pens purchsed, which equals $23.

$3p + $4r = $23

Now we have 2 equations and 2 unknowns.

p + r = 7

$3p + $4r = $23

Let's solve for r in the first equation.

p + r = 7     Subtract p from both sides.

p - p + r = 7 - p   The p on the left cancels.

r = 7 - p

Now that we know r, we can substitute it into the second equation and solve for p.

$3p + $4r = $23

3p + 4( 7 - p) = 23       Multiply it out.

3p + 4*7 - 4*p = $23

3p + 28 - 4p = 23      Combine like terms.

3p  - 4p + 28 = 23

- 1p + 28 = 23       Subtract 28 from both sides.

- p + 28 - 28 = 23 - 28  

- p = - 5   Divide each side by -1

- p/- 1 = - 5/ - 1       The negative cancels on each side.

p = 5

We can see Margo bought 5 $3 pens.

For fun, let's solve for how many $4 pens she bought. We know p, so we plug it in the first equation and solve for r.

p + r = 7

5 + r = 7  Subtract 5 from each side

5 - 5 + r = 7 - 5

r = 7 - 5

r = 2

So Margo bought 5 $3 pens and 2 $4 pens!

8 0
2 years ago
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Answer:

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Step-by-step explanation:

simplify 4/6 to 2/3 which 2/3 of twelve is eight

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3 years ago
Is (x-2) a factor of f(x) = (4x +13x +10)?
Inessa [10]

Answer:

Step-by-step explanation:

No but it is close.   (4x +13x +10) factors into

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So (x + 2) is a factor along with (4x + 5)

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faust18 [17]
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Ans : 36

8 0
2 years ago
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