All categories

2 years ago

Find the length of LM if L is the midpoint of NM. NL = 3x + 1, LM = 8x - 24.

Mathematics

1 answer:

SashulF [63]2 years ago

8 0

Answer:

LM = 16

Step-by-step explanation:

From the question given:

L is the midpoint of NM

NL = 3x + 1

LM = 8x - 24

LM =?

Next, we shall determine the value of x.

This can be obtained as follow:

Since L is the midpoint of NM, it means that NL and LM are equal i.e

NL = LM

Thus, we can obtain the value of x as follow:

NL = 3x + 1

LM = 8x - 24

NL = LM

3x + 1 = 8x - 24

Collect like terms

3x - 8x = - 24 - 1

-5x = - 25

Divide both side by - 5

x = -25/-5

x = 5

Finally, we shall determine the length of LM as follow:

LM = 8x - 24

x = 5

LM = 8(5) - 24

LM = 40 - 24

LM = 16

Therefore, the length of LM is 16

You might be interested in

Emily, Jean, and Amanda live in apartments on the 5th, 6th and 7th floors. One girl likes basketball, one likes football, and th

ss7ja [257]

Answer:

Assuming you mean baseball in stead of basketball, if must be the 5th floor.

Step-by-step explanation:

"The girl on the fifth floor thinks soccer is boring" implies that on the 5th floor lives the football or baseball fan. However, it cannot be the football fan since it is already known that she lives on 6th.

So the baseball fan, which is Jean, lives on 5th.

3 0

2 years ago

It takes Fred 32 minutes to type and spell check 5 pages of a manuscript. Find how long it takes

sveta [45]

Answer:

Step-by-step explanation:

$we \: rounded \: it \: to \: the \: nearest \: whole \: number$

6 0

1 year ago

I WILL GIVE YOU ALL MY POINTS PLEASE JUST ANSWER THIS BEFORE I BREAKDOWN AND CRY HAHA NO BUT SERIOUSLY PLEASE ANSWER PLEASEEE IM

Elena-2011 [213]

Answer:

probability is 9

Step-by-step explanation:

4 0

2 years ago

Steffie makes a scale drawing for a crate with the demensions 15 inches long by 12 inches wide. Her scale factor is 1:3. Brian m

rodikova [14]

Answer:

Dimensions → (5 inches × 4 inches)

Step-by-step explanation:

Scale factor used for the drawing by Steffie = $\frac{1}{3}$

Since, scale factor = $\frac{\text{Dimension of the drawing}}{\text{Actual dimension}}$

For Steffie,

Actual length of the crate = $\frac{\text{Dimension of the drawing}}{\text{Scale factor}}$

= $\frac{15}{\frac{1}{3}}$

= 45 inches

Actual width of the crate = $\frac{12}{\frac{1}{3} }$

= 36 inches

Since Brian used the scale factor = $\frac{1}{9}$

Length of the drawing = Actual length × Scale factor

= 45 × $\frac{1}{9}$

= 5 inches

Width of the drawing = Actual width × Scale factor

= 36 × $\frac{1}{9}$

= 4 inches

Therefore, dimensions of the drawing made by Brian are (5 inches × 4 inches)

6 0

2 years ago

Linda made $104 for 8 hours of work. At the same rate, how many hours would she have to work to make $143?

KatRina [158]

Answer:

11 hours

Step-by-step explanation:

104 dollars for 8 hours of work. So how much money per hour?

104/8= 13 dollars per hour

At the same rate = 13 dollars per hour, so

How many hours to make 143 dollars? With the same rate?

143/13 = 11 hours

8 0

2 years ago

Read 2 more answers