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Zinaida [17]
3 years ago
9

Find the value of x that will make A||B. A В 4x 2x x [?]

Mathematics
1 answer:
KengaRu [80]3 years ago
5 0

Answer:

x = 30^{\circ}

Step-by-step explanation:

Given

Parallel lines A and B

Required

Determine the value of x

From the attachment, 2x and 4x are consecutive interior angles and the theorem of consecutive interior angles is that:

2x + 4x = 180

Solving further, we have:

6x = 180

Divide both sides by 6

\frac{6x}{6} = \frac{180}{6}

x = \frac{180}{6}

x = 30^{\circ}

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Using substitution to solve the system below, what expression should be substituted into the first equation? 2x-4y=-4 and x+2y=8
inna [77]

Answer:

Given the system of equation:

2x-4y=-4                    ......[1]

x+2y=8                      ......[2]

we can rewrite equation [2] as;

x = 8-2y                ......[3]

Substitute equation [3] into [1] to eliminate x, and solve for y;

2(8-2y)-4y = -4

Using distributive property: a\cdot (b+c) = a\cdot b+ a\cdot c

16-4y -4y = -4

Combine like terms;

16 - 8y = -4

Add 4 to both sides we have;

20 - 8y = 0

Add 8y to both sides we have;

20 = 8y

Divide 8 to both sides we have;

y = 2.5

Substitute the y-value in [3] we have;

x = 8-2(2.5)

x = 8 - 5 = 3

Therefore, the  expression should be substituted into the first equation is, x = 8-2y  and also the value of x = 3 and y = 2.5

5 0
3 years ago
Read 2 more answers
Expand the following:<br> a) x(x - 6)<br> b) x(4x + 1)<br> c) 2x(5x + 4)<br> d) 3x(5x - y)
puteri [66]

Answer:

<h2>[a]=x²_6x</h2><h2>[b]=4x²+x</h2><h2>[c]=10x²+8x</h2><h2>[d]15x²_3xy</h2>

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the equation of the line that goes through the points (1,2) and (2,1)?
Mandarinka [93]

Answer:

y = -x+3

Step-by-step explanation:

We have two points so we can find the slope

m =(y2-y1)/(x2-x1)

    (1-2)/(2-1)

    -1/1

 The slope is -1

We can use the slope intercept form of the equation

y = mx+b where m is the slope and b is the y intercept

y = -x+b

Substitute a point into the equation to find b

2 = -1 +b

Add 1 to each side

2+1 =-1+1 +b

3 =b

y = -x+3

4 0
3 years ago
CALCULATE (5-3)^2 AND DEDUCE √14-6√5​
weeeeeb [17]
(5-3)^2 is = -4 , the second one is -9.67
4 0
3 years ago
Please solve with working out <br> simultaneous equations<br> 3x+2y=12<br> 2x+2y=10
Novay_Z [31]
Here, 3x + 2y = 12
2x + 2y = 10

Subtract 2nd from 1st equation, 
x = 2

Now, substitute in 2nd, 
2(2) + 2y = 10
2y = 10 - 4
y = 6/2
y = 3

In short, Your Answer would be: (2, 3)

Hope this helps!
4 0
3 years ago
Read 2 more answers
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