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
Mariulka [41]
3 years ago
14

Find x and y, given that KL and line MN are parallel. Show all work

Mathematics
2 answers:
iren [92.7K]3 years ago
5 0
X equals 9.5 y equals
Setler [38]3 years ago
4 0
\dfrac{|MN|}{|NJ|}=\dfrac{|KL|}{|LJ|}\\\\\dfrac{22}{12+8}=\dfrac{y}{8}\\\\\dfrac{22}{20}=\dfrac{y}{8}\ \ \ |cross\ multiply\\\\20y=22\cdot8\\\\20y=176\ \ \ |:20\\\\\boxed{y=8.8}

\dfrac{|MK|}{|KJ|}=\dfrac{|NL|}{|LJ|}\\\\\dfrac{x-2}{5}=\dfrac{12}{8}\ \ \ \ |cross\ multiply\\\\8(x-2)=5\cdot12\\\\8x-16=60\ \ \ |+16\\\\8x=76\ \ \ |:8\\\\\boxed{x=9.5}
You might be interested in
Suppose n represents an even number for a simplified expression that represents the product of the next two even numbers
Digiron [165]
N+1 x n+2 = whatever that first part means
3 0
3 years ago
Read 2 more answers
What is the approximate area of the circle shown below?
Lelu [443]

Hey there!

Formula: πr^2

r = radius

pi = 3.1415926535898 (but we can say it approximately equals 3.14)

Your equation (3.14)(4.2)^2 = answer

4.2^2 = 4.2 × 4.2 = 17.64

New equation: 17.64 × 3.14 = 55.3896

We round our answer to the nearest tenth

Answer: 55.4 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

6 0
3 years ago
Estimate the percent using decimals<br> 52% of 71
adelina 88 [10]
1.732394366197183 so 2
4 0
3 years ago
Need help with Geometry Work.
cricket20 [7]

Answer:

FG = 16

Step-by-step explanation:

we can state that ΔEFG ≅ ΔEHG due to the Angle-Angle-Side postulate

this means that FG = GH

we can use this equation to solve for 'x':

x + 11 = 3x + 1

11 = 2x + 1

10 = 2x

5 = x

FG = x + 11  or  5 + 11, which is 16

8 0
3 years ago
Set up the formula to find the balance after 8 years for a total of $12,000 invested at an annual
Natasha2012 [34]

Answer:

A = 12000(1.0002466)²⁹²⁰

Step-by-step explanation:

The formula for the amount after compound interest is: A = P(1 + i)^{n}

"A" is the amount, or balance.

"P" is the principal, or starting amount/investment.

"i" is the interest rate for each compounding period.

"n" is the number of compounding periods.

The interest rate each compounding period, "i", is calculated with i=r/c

"r" is the annual interest rate in decimal form.

"c" is the compounding frequency. (If compounded annually, c=1. If monthly, c=12.)

The number of compounding periods, "n", is calculated with n=tc.

"t" is the time in years.

"c" is the compounding frequency.

In this problem:

t = 8

P = 12,000

r = 9%, or r = 0.09 for decimal form.

c = 365

Calculate "i" and "n".

i = r/c

i = 0.09/365

i = 0.00024657534

i ≈ 0.0002466

n = tc

n = 8(365)

n = 2920

Substitute these back into the formula:

A = P(1 + i)ⁿ

A = 12000(1+0.0002466)²⁹²⁰

A = 12000(1.0002466)²⁹²⁰

7 0
3 years ago
Other questions:
  • Can someone please help me with this question
    7·1 answer
  • the population of Linton is 12 times as great as the population of Elmore the combined population of both towns is Mount de Sale
    7·1 answer
  • Linh has a bag of beads that contains 10 glass beads,7 metal beads, 15 plastic, and 3 clay. what the probablility that Linh will
    12·1 answer
  • In triangles △ABC and △DEF, m∠A=m∠E, m∠C=m∠F, AC=6, EF=2, and AB=3.3, side DF is shorter than side BC by 3.2. Find the unknown s
    5·2 answers
  • The mathematical expression 2 € V means:
    6·1 answer
  • What are the zeros of this polynomial: p(x)=4x(x-3)(x+1)(2x-5)
    14·2 answers
  • Please help me with this
    5·2 answers
  • Hi, can I send screenshot?​
    9·2 answers
  • Last month, JT made $684 working for 24 hours . This month, he will get 18% increase in the amount he earns per hour. What will
    8·1 answer
  • M is the midpoint of the segment. Find the length of XM.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!