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borishaifa [10]
3 years ago
9

If BE = 2x + 2, BD = 5× - 3, and AE = 4× - 6, what are the values of x and AC?​

Mathematics
1 answer:
hichkok12 [17]3 years ago
4 0

Answer:

x = 7

AC = 44

Step-by-step explanation:

Find the diagram attached

According to the parallelogram,

BD = 2BE

5x-3 = 2(2x+2)

5x-3 = 4x+4

5x-4x = 4+3

x = 7

Hence the value of  x is 7

Also AC = 2AE

AC = 2(4x-6)

AC = 8x - 12

AC = 8(7) - 12

AC=  56-12

AC = 44

Hence the measure of AC is 44

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In a recent survey 55% of pet owners have more than one pet if there was 620 pet owners survey which proportion could be used to
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Just Need A Few Questions Answered To Finish My Quiz, Any Help Would Be Much Appreciated.
kvv77 [185]

Given the triangle

PQR

with points

P(8,0)

Q(6,2)

R(-2,-4)

And the triangle

P'Q'R'

with points

P'(4,0)

Q'(3,1)

R'(-1,-2)

Part A. Scale factor

Using the vertex

P( 8, 0)

P'(4,0)

the dilatation factor is given by

\frac{4}{8}=\frac{1}{2}

The triangle has a dilatation factor of 1/2

Part B:

P''Q''R'' after using P'Q'R' reflected about the y axis

to make a reflection over the y axis

coordinates (x,y) turn into coordinates (-x,y)

as follows

P^{\prime}(4,0)\rightarrow P^{\prime\prime}(-4,0)Q^{\prime}(3,1)\rightarrow Q^{\prime\prime}(-3,1)R^{\prime}(-1,-2)\rightarrow R^{\prime\prime}(1,-2)

Then triangle P''Q''R'' has coordinates

P''(-4,0)

Q''(-3,1)

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PQR is congruent to P''Q''R''?

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1 year ago
There are 7 animals a farmer's field.
sergey [27]

Answer:

2 cows and 5 chickens.

Step-by-step explanation:

NOTE: This will be solved using simultaneous equations.

Let x = cows and y = chickens

1. form two equations

4x + 2y = 18 ... (1)

x + y = 7 .... (2)

2. make y (or x) the subject of one equation

x + y = 7

y = 7 - x ... (3)

3. Substitute (3) into (1)

4x + 2( 7 - x) = 18

4. solve for x

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5. Now substitute x value into equation (2)

x + y = 7

2 + y = 7

y = 5

∴ cows (x) = 2

chickens (y) = 5

6 0
3 years ago
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