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Tom [10]
2 years ago
8

Work out the value of x.

Mathematics
2 answers:
Vinil7 [7]2 years ago
4 0

Answer:

\huge\boxed{x=20}

Useful Information:

Co-interior angles add to 180°

Step-by-step explanation:

The first step is to add 4x to 5x, which gives you 9x. This is because co-interior angles add up to 180, so 4x+5x=180. Co-interior angles can be spotted by their C shape.  

To work out the value of x you would need to divide 180 by 9, which gives you 20°.  This is because 9x is equal to 180. This means that x is equal to 180 divided by 9.

1) Add 4x to 5x.

4x+5x=9x

2) Divide 180 by 9.

\frac{180}{9}=20

xeze [42]2 years ago
3 0

Answer:

x = 20

Step-by-step explanation:

4x+5x = 180° (sum of int angles)

     9x = 180°

       x = 20°

Hence, x = 20.

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Solve, then write, each equation in slope intercept form. ​
djyliett [7]

Answer:

1) (3,5)

2) (4,-7)

3)  (6,4)

4) (-4,-3)

Step-by-step explanation:

1)

Subtract  y  from both sides of the equation.

x  =  8  −  y

x  −  y  =  −2

Replace all occurrences of x  in x  −  y  =  −2  with  8  −  y.

x  =  8  −  y

(8  −  y)  −  y  =  −2

Subtract y from  −y.

x  =  8  − y

8  −  2y  =  −2

Solve for  y  in the second equation.

x  =  8  −  y  

y  = 5

Replace all occurrences of  y  in  x  =  8  −  y  with  5.

x  =  8  −(5)

y  =  5

Simplify  8  −(5).

x  =  3

y  =  5

Slope = (3,5)

2)

Multiply each term by  2  and simplify.

2x+y=12

y+6=−x−4

Move all terms containing variables to the left side of the equation.

2x+y=1x+2

y+6=−4

Move all terms not containing a variable to the right side of the equation.

2x+y=1x+2

y=−10

Multiply each equation by the value that makes the coefficients of  x  opposite.

2x+y=1(−2)⋅

(x+2y)=(−2)(−10)

Simplify.

2x+y=1−2x−4

y=20

Add the two equations together to eliminate  x  from the system.

2x+y=1+−2x−4

y=20−3

y=21

Divide each term by  −3  and simplify.

y  = −7

Substitute the value found for  y  into one of the original equations, then solve for  x.

x  =  4

slope (4,-7)

3)

Subtract  y  from both sides of the equation.

2x−y=8x−y=2

Multiply each equation by the value that makes the coefficients of  y  opposite

2x−y=8(−1)⋅

(x−y)=(−1)(2)

Simplify. 2x−y=8

−x+y=−2

Add the two equations together to eliminate  y  from the system.

2x−y=8  +  −x+y=−2x=6

Substitute the value found for  x  into one of the original equations, then solve for  y.

y=4

slope (6,4)

4)

Simplify 2(x+1).

y−3=2x+2

y=−3(x+5)

Simplify  −3(x+5)

y−3=2x+2

y=−3x−15

Move all terms containing variables to the left side of the equation.

−2x+y−3=2

y=−3x−15

Add  3x  to both sides of the equation.

−2x+y−3=2

y+3x=−15

Move all terms not containing a variable to the right side of the equation.

−2x+y=5

y+3x=−15

Reorder the polynomial.

−2x+y=5

3x  +  y=−15

Multiply each equation by the value that makes the coefficients of  y  opposite.

−2x+y=5(−1)⋅

(3x+y)=(−1)(−15)

Simplify.

−2x+y=5

−3x−y=15

Add the two equations together to eliminate  y  from the system.

−2x+y=5  +  −3x−y=15−5x=20

Divide each term by  −5  and simplify.

x=−4

Substitute the value found for  x  into one of the original equations, then solve for y.

y=−3

slope (-4,-3)

4 0
2 years ago
What is the fraction and decimal of 95%
zhuklara [117]
.95 in decimal form and 95/100 as a fraction or 19/20

7 0
3 years ago
Read 2 more answers
The ratio of 4:8 is equivalent to x:6, what is the value of x?
Dimas [21]

Answer:

x = 3

Step-by-step explanation:

Given

4 : 8 = x : 6, expressing in ratio form, that is

\frac{4}{8} = \frac{x}{6} ( cross-  multiply )

8x = 24 ( divide both sides by 8 )

x = 3

Thus 4 : 8 = 3 : 6

6 0
3 years ago
Read 2 more answers
Find the volume of a cone with a base radius of 3 cm and a height of 9 cm
katovenus [111]

The volume of a cone is 84.78 cm                

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

<u>Given</u>:

radius = 3 cm and

height = 9 cm

<u>To Find</u>:

The Volume of a Cone

<u>Formula</u>:

The Formula for the volume of a cone is

V=πr2 *h/3

<u>Solution</u>:

V=πr2 *h/3

π value is 3.14

V= 3.14*(3)^2*9/3

V=3.14*9*3

V= 84.78 cm

Therefore the volume is 84.78 cm.

5 0
3 years ago
I really don't get these questions
Mazyrski [523]

Answer:

B

Step-by-step explanation:

280 + 5(–5) + (–42) + 2(75) + (–200)

280 - 25 - 42 + 150 - 200

280 - 67 + 150 - 200

280 - 67 - 50

213 - 50

= $163

3 0
3 years ago
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