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Dovator [93]
3 years ago
5

Find the value of X, Z, and Y in the graph below?

Mathematics
1 answer:
ella [17]3 years ago
7 0

9514 1404 393

Answer:

  (x, y, z) = (49, 58, 122)

Step-by-step explanation:

The same-side exterior angles have a sum of 180°.

  (x +9) +(3x -25) = 180

  4x -16 = 180

  x -4 = 45

  x = 49

Vertical angles are congruent:

  y = 49 +9 = 58

  z = 180 -y = 122 = 3(49) -25

The values of x, y, and z are ...

  • X = 49
  • Z = 122
  • Y = 58
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3 years ago
Which of the following is the solution of –6x – 17 = 19?
natita [175]

   -6x - 36  =   -6 • (x + 6) 

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2 years ago
Read 2 more answers
8x+4 (4x+3) = 4 (6x+4)-4 help
Tasya [4]

Answer:

0

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

8x+4(4x+3)=4(6x+4)−4

8x+(4)(4x)+(4)(3)=(4)(6x)+(4)(4)+−4(Distribute)

8x+16x+12=24x+16+−4

(8x+16x)+(12)=(24x)+(16+−4)(Combine Like Terms)

24x+12=24x+12

24x+12=24x+12

Step 2: Subtract 24x from both sides.

24x+12−24x=24x+12−24x

12=12

Step 3: Subtract 12 from both sides.

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3 years ago
(-x²+9) + (-3x²-11x+4)
Maslowich

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Step-by-step explanation:

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3 years ago
A line goes through the points (4,16) Ana (7,19). Write a linear function rule in terms of x and y for this line
Eva8 [605]

Linear function rule in terms of x and y for this line is y = x + 12

<em><u>Solution:</u></em>

Given that a line goes through the points (4, 16) and (7, 19)

To find: linear function rule in terms of x and y for this line

A linear function is a function of the form f(x) = ax + b, where a and b are real numbers. Here, a represents the slope of the line, and b represents the y-axis intercept

<em><u>The slope intercept form is given as:</u></em>

y = mx + c

Where "m" is the slope of line and "c" is the y - intercept

Let us first find slope of line

<em><u>The slope "m" of a line is given as:</u></em>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text {Here } x_{1}=4 \text { and } x_{2}=7 \text { and } y_{1}=16 \text { and } y_{2}=19

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Substitute m = 1 and (x, y) = (4, 16) in y = mx + c

16 = 1(4) + c

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Substitute c = 12 and m = 1 in slope intercept form

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y = x + 12 is the required linear function rule

6 0
3 years ago
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