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NemiM [27]
2 years ago
7

CD is the perpendicular bisector AB. G is the midpoint of AB. points E and F lie on CD. which pair of line segments must be cong

ruent?

Mathematics
2 answers:
Darya [45]2 years ago
8 0

Answer:

AE and BE

Step-by-step explanation:

Please refer to the image attached with this.

Here in we have made a diagram a per the conditions given in the question. If  we observe ΔABE, We see

AG=GE ( CD is perpendicular bisector of AB , Hence G is mid point)

∠AGE = ∠BGE = 90°

GE = GE

Hence

ΔAGE ≅ ΔBGE

Therefore the theorem of congruent triangles  ,

AE ≅ BE

Ugo [173]2 years ago
6 0
AG and GB must be congruent and CG and GD must be congruent as well
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The grocery store is having a sale on frozen vegetables. 4 bags are being sold for $11.96. At this rate what is the cost of: 9 b
Alexandra [31]

Answer:

$26.91

Step-by-step explanation:

11.96 divided 4 = 2.99

2.99 x 9 = $26.91

4 0
2 years ago
Read 2 more answers
Which pair represents the same complex number?
lorasvet [3.4K]
For this case we have the following complex number:
 1 + i
 Its equivalent pair is given by:
 root (2) * (cos (pi / 4) + i * sin (pi / 4))
 Rewriting we have:
 root (2) * (root (2) / 2 + i * (root (2) / 2))
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 Answer:
 
option A represents a pair with the same complex number
4 0
2 years ago
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A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than t
belka [17]

system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is  x+8y=68 and 3x+4y=64   .

<u>Step-by-step explanation:</u>

Here we have , A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same. We need to find Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y . Let's find out:

Let the price in dollars of each large candle, x, and each small candle, y .So

A customer at a store paid $64 for 3 large candles and 4 small candles

Equation is  :

⇒ 3x+4y=64  .....(1)

At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles.

Equation is  :

⇒ x+8y=68  .......(2)

3(2)-(1) i.e.

⇒ 3(x+8y)-(3x+4y)=68(3)-64

⇒ 20y=140

⇒ y=7

So , x+8y=68  

⇒  x+8(7)=68

⇒  x=12

Therefore , system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y is  x+8y=68 and 3x+4y=64   .

7 0
2 years ago
The triangle shown below has an area of 121212 units^2 <br> 2<br> squared.<br> Find xxx.
dalvyx [7]

Answer:

4

Step-by-step explanation:

Let's set up an equation using the formula for the area of a triangle.

Hint #22 / 3

\begin{aligned} \text{Area of a triangle} &= \dfrac12 \cdot \text{base} \cdot \text{height}\\\\ 12&= \dfrac12 \cdot 6 \cdot x \\\\ 12&= 3x \\\\ \dfrac{12}{\blueD{3}}&= \dfrac{3x}{\blueD{3}} ~~~~~~~\text{divide both sides by } {\blueD{ 3}}\\\\ \dfrac{12}{\blueD{3}}&= \dfrac{\cancel{3}x}{\blueD{\cancel{3}}}\\\\ x &=\dfrac{12}{\blueD{3}}\\\\ x &=4\end{aligned}  

Area of a triangle

12

12

3

12

​  

 

3

12

​  

 

x

x

​  

 

=  

2

1

​  

⋅base⋅height

=  

2

1

​  

⋅6⋅x

=3x

=  

3

3x

​  

       divide both sides by 3

=  

3

​  

 

3

​  

x

​  

 

=  

3

12

​  

 

=4

​  

5 0
2 years ago
Megan wants to find the quotient. Use multiplication and the
Orlov [11]
72÷4=18; 18 is the quotient
8 0
2 years ago
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