1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
cupoosta [38]
2 years ago
9

What is the length of segment LP?

Mathematics
1 answer:
Mariana [72]2 years ago
8 0
In the image, as denoted by similar sides OP and MN, we can conclude that the 2 triangles are similar triangles. To look for the value of x (which we can substitute later to find the length of segment LP), we relate the relations of segments LO and LP to segments LM and LN. This relation is shown below:

LO/LP = LM/LN

22 / x+12 = 30 / x+12 + 5
22 / <span>x+12 = 30 / x+17
</span>
Cross-multiplying:
30x + 360 = 22x + 374

Isolating x to one side of the equation by subtracting 22x and 360 from both sides:

30x + 360 - 360 - 22x = 22x + 374 - 360 - 22x
8x = 14
x = 1.75

Since we now have the value of x, we substitute this to the equation of LP:
LP = x + 12
LP = 1.75 + 12
LP = 13.75

Therefore the value of LP is 13.75 in.

You might be interested in
i need help with simplifying fractions only the top ones i will do the making of a decimal or ill ask the question later
Vladimir79 [104]

Answer:

see explanation

Step-by-step explanation:

(a)

\frac{32}{40} ← divide numerator and denominator by 4

= \frac{8}{10} = 0.8

(b)

\frac{35}{50} → divide numerator and denominator by 5

= \frac{7}{10} = 0.7

(c)

\frac{60}{40} ← divide numerator and denominator by 4

= \frac{15}{10} = 1.5

8 0
3 years ago
The number of fans who attended a softball game increased from 1,200 for the first game to 1,500 for the second game. How many f
erma4kov [3.2K]
1875 fans will attend
6 0
3 years ago
What are the odds in favor of choosing a person at random who chose juice a?
stealth61 [152]

37:53

Step-by-step explanation:

Step 1 :

Given

Number of people choosing Juice A = 37

Number of people choosing Juice B = 32

Number of people choosing Juice C = 21

We need to find the odds in favor of choosing a person who chooses juice A

Step 2  :

Here the number of success is the number of people choosing juice A = 37

Number of failures is the number of the people not choosing juice A = Number of people choosing juice B + Number of people choosing juice C = 32+21 = 53

Hence the odds in favor of choosing a person who chooses juice A is 37:53

3 0
3 years ago
Express 54 as a product of its prime factor
Vadim26 [7]
54 = 2 × 3 × 3 × 3 ( as a product of its prime factor ).
6 0
3 years ago
Read 2 more answers
12+3.04+8.28 pls help
vichka [17]

Answer:

23.32

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Other questions:
  • Can the absoulute value of a number ever be a negative number?
    10·2 answers
  • What is the greatest common factor of 12 and 30?<br> 2<br> 3 <br> 6 <br> 12
    10·2 answers
  • Megan is placing fifteen 1-foot by 1-foot stepping stones in her garden. The garden is 10 feet wide and 15 feet long.
    6·2 answers
  • Geometric or arithmetic<br> 4,10,16,22
    13·1 answer
  • What’s the correct answer for this question?
    14·1 answer
  • Which inequality correctly compares 1/2, 3/4, and 2/3?
    14·1 answer
  • 1) Is it a function?<br> Please help
    12·2 answers
  • Friends help me out<br><br><br>state true or false<br><br>0 is the multiplicative inverse of 0?​
    12·1 answer
  • Solve this: - 6 n = 30​
    14·2 answers
  • Calculate the area of this triangle.<br><img src="https://tex.z-dn.net/?f=%20" id="TexFormula1" title=" " alt=" " align="absmidd
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!