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Gekata [30.6K]
3 years ago
5

−−→ LO bisects ∠ NLM , LM = 18 , NO = 4 , and LN = 10 . LO → bisects ∠ NLM , LM = 18 , NO = 4 , and LN = 10 . What is the value

of x?
Mathematics
1 answer:
Sindrei [870]3 years ago
3 0

Answer:

7.2

Step-by-step explanation:

Given that in triangle LMN, LO is angle bisector of angle L.

LN =10 and LM =18

By angle bisector theorem for triangles we have

LN/LM = NO/MO

Substitute the values for known things and x for MO

We get

10/18 = 4/x

Or cross multiply to get

10x=72

x=7.2

So answer is 7.2

You might be interested in
Solve the proportion 7/5=21/x<br> (show work/explain how u got it please)
Anvisha [2.4K]

Answer:

x = 15

Step-by-step explanation:

I am going to use the "butterfly" method for proportions

(there is another type of butterfly method that is different, I am not sure if there is another name for this method, sorry!)

\frac{7}{5} = \frac{21}{x}

Multiply the:

- top left by the bottom right

-the top right by the bottom left

and then:

- set them equal to each other

So we will <u>multiply 7 by x and 21 by 5</u> (if this doesn't make sense tell me and I will explain it even more!)

7x = 21 * 5

7x = 105

(Divide both sides by 7) <em>x = 15</em>

Hope this helps, have a nice day! :D <3

5 0
3 years ago
Please help! Will give the brainliest :)
sertanlavr [38]

Answer: J. A translation of △XYZ to the right.

Step-by-step explanation:

I'll explain each bullet point one by one. A good hint is to pay attention to where the letters are.

-J is correct because the figure was shifted to the right.

-K is incorrect because if it was a reflection across the x-axis, the figure would be in Quadrant 3, or the bottom left.

-L is incorrect because if you pay attention to the letters, they are in the exact same place. If it was a reflection across the y-axis, the X' and Y' would switch places if you know what I mean.

-M is incorrect because if the figure was rotated 90°, point Z' would be furthest from the x-axis. In other words, the triangle would have been pointing up and not down.

-N is incorrect because if the figure was rotated 180° clockwise, the figure would have been in Quadrant 4, or the bottom right.

Given this information, the most appropriate answer is J.

I hope this helps! Pls give brainliest!! :)

4 0
2 years ago
Maria, Ahmad, and Bob sent a total of 52 text messages during the weekend. Maria sent fewer messages than Bob. Ahmad sent times
nadya68 [22]

Answer:

Maria sent 7 messages

Bob sent 5 messages

Ahmad sent 45 messages

Step-by-step explanation:

Given that Maria, Ahmad, and Bob sent a total of 52 text messages during the weekend.

If Maria sent fewer messages than Bob, and Ahmad sent times as many messages as Bob

Since the exact figures were not given, then let make an assumption that Ahmad sent 9 times as many messages as Bob.

If Bob sent 5 messages, then, Ahmad will send 5 × 9 = 45 messages

Also, it is given that Maria sent fewer messages than Bob. Take 45 away from 52. That is,

52 - 45 = 7

Therefore,

Maria sent 7 messages

Bob sent 5 messages

Ahmad sent 45 messages

7 0
3 years ago
F(x)=4(2)^x <br><br> what would a graph of this look like?
kati45 [8]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A graphing calculator can do a nice job of showing you what the graph looks like.

The initial factor of 4 is the value when x=0, the y-intercept. The base of 2 tells you the function value is multiplied by 2 for each unit of x to the right, and divided by 2 for each unit of x to the left. (The curve quickly goes off the top of the graph.)

The horizontal asymptote is y=0, as it is for all exponential functions (that have not been translated).

7 0
3 years ago
If 3(x + 5) = 39, then what is x?
Phoenix [80]

Answer:

x=8

Step-by-step explanation:

X=8 because 39/3 is 13 and 13- 5 is 8 and 5 and 8 add up to make 13 inside the parenthesis.

7 0
3 years ago
Read 2 more answers
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