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Bezzdna [24]
3 years ago
5

What is the value of B and C

Mathematics
1 answer:
Margarita [4]3 years ago
5 0

Answer:

The value of b is 6 and the value of c is also 6

Step-by-step explanation:

We know that given triangles are congruent. When two triangles are congruent then their respective sides are also equal/congruent.

So,

ΔUWV≅ΔEDF

Then

WV ≅ DF

WU ≅ DE

UV ≅ EF

So,

Putting their respective value equal:

WV = DF

9c = 10c-6\\10c-6 = 9c\\10c-6+6 = 9c+6\\10c = 9c+6\\10c-9c = 9c+6-9c\\c = 6\\and\\10b = b+54\\10b-b = b+54-b\\9b = 54\\\frac{9b}{9} = \frac{54}{9}\\b = 6

Hence,

The value of b is 6 and the value of c is also 6

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Answer:

3.6

Step-by-step explanation:

7 0
3 years ago
If Pentagon ABCDE was dilated to create Pentagon A'B'C'DE', what rule was used?
svetlana [45]

Answer:

<em>B</em> (x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)

Step-by-step explanation:

<u>Dilations</u>

Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.

The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.

Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.

The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.

Thus, the rule to dilate the pentagon is:

B \mathbf{(x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)}

5 0
3 years ago
PLEASE HELP!!!
Jobisdone [24]
The answer it 1. is A.
The answer to 2. is B.
6 0
3 years ago
I was walking to the store at the same time as my friend Angela. No matter what, She has always gotten there twice as fast as me
atroni [7]
Let's call your speed "a"

her walking speed is then "2a"

and her friend's scooter speed is 10 a

let's also call the distance you need to walk "d"

so the time (t)you need is:

d/t=a
t=d/a

and her time is:
 t=\frac{d}{2} /2a+ \frac{d}{2} /10a
(half a distance with the speed of 2a and half a distance (d/2) with the distance of 10 a

now we count (we know that her time is 30 minutes)

30= \frac{d}{4a}+\frac{d}{20a} //multiply by 20a

600a= 5d+d
600a=6d/divide by 6
100a=d

Now, in order to calculate your time we need to calculate:

t=d/a

but we know how much is d now!
t=\frac{100a}{a}=100

which means that you need 100 minutes, or 1 h 40 minutes!!!

6 0
3 years ago
Solve the system of equations by substitution.<br> y = 3x-7<br> 2x + 5y = 16
Virty [35]

Answer:

In the picture

Step-by-step explanation:

Hope that helps.

8 0
3 years ago
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