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2 years ago

What is the value of B and C

Mathematics

1 answer:

Margarita [4]2 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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Hayley so 20 tickets to the school play for total of $225. Early bird tickets were $10 regular priced tickets are $15. Wright an

alexandr402 [8]

System of Equations

For the problem to solve we'll use the following variables:

x = number of the early bird tickets sold

y = number of the regular tickets sold

Haley sold a total of 20 tickets, thus:

x + y = 20 [1]

Early bird tickets cost $10 and regular tickets cost $15, thus the total money collected is:

10x + 15y = 225

Dividing by 5:

2x + 3y = 45 [2]

We have to solve the system of equations [1] and [2].

Multiply [1] by -2:

-2x - 2y = -40 [3]

Add [3] to [2]:

-2x - 2y +2x + 3y = -40 + 45

Simplifying:

y = 5

Substituting in [1]:

x + 5 = 20

Subtracting 5:

x = 20 - 5

x = 15

Solution: Hayley sold 15 early bird tickets and 5 regular-priced tickets

The order pair solution is (15,5)

5 0

10 months ago

What is the answer to 7x+3 (4x-8)=109

IceJOKER [234]

7x+3(4x-8)=109 7x+12x-24=109 19x-24=109 19x=109+24 19x=133 X=133÷19 X=7

7 0

2 years ago

I need help please take a look at this

Reika [66]

Answer:

$y = x-1$

$-x+\dfrac32=-y\\\implies y=x-\dfrac32$

The equations have the same slope but different y-intercepts. This means the lines are parallel and there is no solution (since they do not intersect).