All categories

3 years ago

If l is parallel to m, find the value of each missing variable.

Mathematics

1 answer:

mote1985 [20]3 years ago

4 0

Answer:

x = 26; l = 137; m = 137

Step-by-step explanation:

If the lines are parallel, that means the measurements are too. As such, equal the two expressions together

5x + 7 = 8x - 71

add 71 to both sides

5x + 7 + 71 = 8x - 71 + 71

-71 and +71 cancel each other out

5x + 78 = 8x

subtract 5x from both sides

5x - 5x + 78 = 8x - 5x

5x - 5x cancels each other out

78 = 3x

divide both sides by 3

3x ÷ 3 = 1x which can also be written as just x

78 ÷ 3 = x

26 = x

plug in this x value into both expressions to find variables l and m

5(26) + 7

130 + 7

137

8(26) - 71

208 - 71

137

You might be interested in

Ms. Turner takes 5 hours to drive 390 kilometers from her home to the next city.

Zarrin [17]

Answer:

Step-by-step explanation:

2 hours × 60 km/hour = 120 km

390-120 = 270 km remaining

270 km/(3 hours) = 90 km/hour

5 0

3 years ago

Brainliest for the correct answer!

liraira [26]

Answer:

y-3 = (1/4)x; 4y = -4x +14; y=4

Step-by-step explanation:

>First find the equation of function A

general equation of a line is y=mx+b

m = (y2-y1)/(x2-x1)= (0-(7/2))/(-7-0) = (-7/2) *(1/-7) = 1/2

consider the point (-7,0)

0 = -7(1/2) +b

7/2 = b

Function A has the equation y= (1/2)x +7/2

>rewrite the equations to fit the standard form

y-3 = (1/4)x ; add 3 to both sides

y= (1/4) x +3

4y = -4x +14 ,divide by 4 both sides

y= -x + 7/2

y=4

> intercept less than A

y-intercept for function A , y= (1/2)x +7/2, is 7/2 =3.5

y-intercept for function y= (1/4) x +3 is 3

3 < 7/2, so the answer is y-3 = (1/4)x

> intercept equal to A

y-intercept for function A , y= (1/2)x +7/2, is 7/2

y-intercept for function y= -x + 7/2 is 7/2

7/2=7/2 , so the answer is 4y = -4x +14

> intercept greater than A

y-intercept for function A , y= (1/2)x +7/2, is 7/2 =3.5

y-intercept for function y=4 is 4

4 > 7/2

6 0

3 years ago

4. Kristina is allowed to have a friend sleep over every 3rd weekend,

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

You must find the least common multiple of their schedules.

The numbers 3 and 2 are their own prime factors, so the least common multiple of 3 and 2 is 6.

Six weekends must pass until they can both have someone over on the same night.

The number line below shows that the first time their sleepovers coincide is Week 6.

3 0

3 years ago

You make a large bowl of salad to share with your friends. Your brother eats 1/3 of it before they come over. You want to divide

shepuryov [24]

Divide 1/3 by 6 and there is your answer

6 0

3 years ago

What are all the digits of pi

Anarel [89]

That’s a lot of numbers lolll 3.14159265358979323846264338327950288419716939937510.... it goes on

4 0

3 years ago