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3 years ago

What is the value of k?

Mathematics

2 answers:

iragen [17]3 years ago

8 0

Answer:

(4k+5)+ (6k+10) = 115

Exterior angle of a triangle is equal to the sum of two opposite interior angles

10k=15=115

10k= 100

k = 100/10

k = 10

Step-by-step explanation:

REY [17]3 years ago

8 0

Answer:

k = 10

Step-by-step explanation:

The 3rd angle that's not defined in the equation is supplementary to 115, so the angle is 180-115 = 65.

We can solve for the equation 65+(4k+5)+(6k+10)=180 -> 65+4k+5+6k+10=180 -> 10k+80 = 180 -> 10k = 100 -> k = 10.

To double-check(optional), we can plug k back into the equation, so 65 + 4*10 + 5 + 6*10 + 10 = 180 -> 100 + 65 + 5 + 10 = 180 -> 180 = 180, so we can confirm that k = 10.

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3 years ago

If y varies directly as x and y=3 when x=10, find x when y=8 Please, somebody, I need help

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3 years ago

Find an equation of the line passing through the pair of points. Write the equation in slope-intercept form. (2,8), and (8,2)

leonid [27]

Answer:

$y=-x+10$

Step-by-step explanation:

Hi there!

Slope intercept form: $y=mx+b$ where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Find the slope (m)

$m=\frac{y_2-y_1}{x_2-x_1}$ where the two given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (2,8),and (8,2)

$m=\frac{2-8}{8-2}\\m=\frac{-6}{6}\\m=-1$

Therefore, the slope of the line is -1. Plug this into $y=mx+b$ :

$y=-x+b$

2) Find the y-intercept (b)

$y=-x+b$

Plug in a given point and solve for b

$8=-2+b$

Add 2 to both sides

$8+2=-2+b+2\\10=b$

Therefore, the y-intercept is 10. Plug this back into $y=-x+b$ :

$y=-x+10$

I hope this helps!

3 0

3 years ago

What is the value of k?​

What is the value of k?