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Harman [31]
2 years ago
10

6. Use the image below to find the missing value.

Mathematics
1 answer:
Katarina [22]2 years ago
3 0

Option C:

The value of m is 4.

Solution:

Given data:

AB = 4m – 15

BC = 5m –6

AC = 15

<u>To find the value of m:</u>

Using segment addition postulate,

AB + BC = AC

4m – 15 + 5m –6 = 15

Arrange the like terms together.

4m + 5m – 15 – 6 = 15

9m – 21 = 15

Add 21 on both sides of the equation,

9m = 36

Divide by 9 on both sides of the equation.

m = 4

The value of m is 4.

Option C is the correct answer.

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Find the equation of a line parallel to −5x+y=2 that contains the point (5,−2). Write the equation in slope-intercept form.
mario62 [17]

Answer:

L2: y-0 = 5/2(x-5)

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Step-by-step explanation:

Parallel lines have same slopes.

Line 1,   L1:  5x-2y=20   is in standard form Ax+By=C therefore slope m1= -A/B = -5/-2 = 5/2 or you can solve it for y so you will have the equation in slope-intercept form.

5x-2y = 20

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y = (-5/-2)x+20/(-2)

y = (5/2)x-10 hence m1=5/2 and y-intercept is -10

Line 2 , L2:   y-y1 = m (x-x1),  m=m2=m1=5/2

Point p(5,0) or p(x1,y1) therefore x1=5 , y1=0 and m=5/2

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What value of x is in the solution set of -5x - 15 &gt; 10 + 20x?​
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Divide each side by 25

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