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Ugo [173]
2 years ago
14

6. Find the value of x.

Mathematics
1 answer:
iris [78.8K]2 years ago
4 0

Answer:

d.51

Step-by-step explanation:

Let the 3rd angle of the triangle be y. Then:

y+117=180

y=63

Then:

x=180-63-66

  =51°

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Find the value of x so that the line passing through (10, 5) and (x, 9) has a slope of -2. -2 8 -8 2
AVprozaik [17]
The slope formula is the difference of the y values over the difference in the x values.  We have a slope, so we will fill in the formula with what we have and then solve for x: -2= \frac{9-5}{x-10}.  Multiply both sides by x-10 to get rid of the fraction.  -2(x-10) = 4.  Distribute to get -2x+20=4 and -2x = -16.  That gives us an x value of 8.
5 0
3 years ago
−5y+8x=−18<br> 5y+2x=58 <br> Solve the system of equations.<br> ​
kvasek [131]

Answer:

1:   −5y+8x=−18  

Slope = 3.200/2.000 = 1.600

 x-intercept = -18/8 = -9/4 = -2.25000

 y-intercept = 18/5 = 3.60000

2:   Slope = -0.800/2.000 = -0.400

 x-intercept = 58/2 = 29

 y-intercept = 58/5 = 11.60000

Step-by-step explanation:

1: Step  1  :

Equation of a Straight Line

1.1     Solve   -5y+8x+18  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  -5y+8x+18  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 18/5 so this line "cuts" the y axis at y= 3.60000

 y-intercept = 18/5  =  3.60000  

Calculate the X-Intercept :

When y = 0 the value of x is -9/4 Our line therefore "cuts" the x axis at x=-2.25000

 x-intercept = -18/8 = -9/4  = -2.25000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 3.600 and for x=2.000, the value of y is 6.800. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 6.800 - 3.600 = 3.200 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

2: Same thing

8 0
3 years ago
The population of a city increases by 3.7% per year. If this year's population is 206,000, what will next year's population be,
Annette [7]

Answer:

206,762

Step-by-step explanation:

206,000 * 0.037 = 762.2

762.2 + 206,000 = 206,762.2, rounded to 206762

3 0
2 years ago
The restaurant sells their arnold palmer for 4 cups for 5$. What is the price of 1 cup?
prohojiy [21]

Answer:

$1.25

Step-by-step explanation:

Set up a proportion, use inverse operations, and solve;

cups : price

4 : 5

/4  /4

1 : 5/4

1 : 1.25

1 cup to $1.25

7 0
3 years ago
Which values are solutions to the inequality below<br> Check all that apply
Andru [333]
I honestly don’t know
4 0
3 years ago
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