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
Sidana [21]
2 years ago
5

Triangles LMN and NWR are right triangles. What is

Mathematics
2 answers:
Sever21 [200]2 years ago
4 0

Answer:

NW = 15.6 cm

Step-by-step explanation:

If ΔLMN ~ ΔNWR then:

\sf LN : LM = RN : RW

\implies \sf \dfrac{LN}{LM}=\dfrac{RN}{RW}

\implies \sf \dfrac{10}{24}=\dfrac{6}{RW}

\implies \sf 10RW=6 \cdot 24

\implies \sf RW = 14.4\:cm

Find NW by using Pythagoras' Theorem:

a^2+b^2=c^2

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

  • a = RN = 6 cm
  • b = RW = 14.4 cm
  • c = NW

Substituting the given values into the formula and solving for NW:

\implies \sf 6^2+14.4^2=NW^2

\implies \sf NW^2=243.36

\implies \sf NW=\sqrt{243.36}

\implies \sf NW=15.6\:cm

sashaice [31]2 years ago
4 0

Find RW then use Pythagorean theorem

  • ML/LN=RW/NR
  • 24/10=RW/6
  • 12/5=RW/6
  • 5RW=72
  • RW=14.4

So

  • NW²=RW²+NR²=6²+14.4²=36+201.6=237.6
  • NW=√237.6
  • NW=15.5cm
You might be interested in
The graphs below have the same shape. What is the equation of the blue<br> graph?
Andru [333]

Answer:

The equation of the blue graph is g(x)=(x-3)^{2} +1g(x)=(x−3)

2

+1 . Below is the explanation

Step-by-step explanation:

Given:

The graph of f(x)=x^{2}x

2

To find:

The equation of the transformed graph g(x).

The red graph f(x) is moved right 3 units and up 1 unit to get g(x).

When graph is moved right 3 units , 3 should be subtracted with x.

When graph is moved up 1 unit, 1 is added at the end.

So, our g(x)=(x-3)^{2} +1(x−3)

2

+1

The equation of the blue graph is g(x)=(x-3)^{2} +1g(x)=(x−3)

2

+1

7 0
2 years ago
What is equation of a line that is parallel to y = -6x – 1 and passes through the point (1,4)
Akimi4 [234]

Answer:

y = -6x + 10

Step-by-step explanation:

Parallel lines share the same slope.  Given y = -6x – 1, we know that the equation of this new line has the form y = -6x – C.  The coordinates of the point (1, 4) determine the value of C:

(4) = -6(1) – C, or:

4 = -6 - C

Then C = -10, and the desired equation is

y = -6x – (-10), or

y = -6x + 10

5 0
3 years ago
Urgent help! This is very important please help me fast! How do you do: Expand &amp; simplify:(x 4)(x 2)
ahrayia [7]
So the question is asking: (x-4)(x-2)
because there is a bracket in between the two expressions it means we have to multiply them together: (x-4) x (x-2)

you can break down the question into smaller parts:
x multiply x
x multiply -2
-4 multiply x
-4 multiply -2

here are the answers:
x^2 (means x squared)
-2x
-4x
8 (because when you multiply two negative numbers it makes a positive)

now you put it into an expression (this is expanding):
x^2 - 2x - 4x + 8

to simplify it you collect like terms:
x^2 - 6x + 8

The above is the answer :)
4 0
3 years ago
Find the number C(10,6)
EastWind [94]

Answer:

210.

Step-by-step explanation:

Combination formula is

nCr = \frac{n!}{r!(n-r)!}

Then, we have that n = 10 and r=6:

C(10,6) = \frac{10!}{6!(10-6)!}

C(10,6) = \frac{10!}{6!4!}

To simplify calculus, we are going to use that n! = (n-1)!n = (n-2)!(n-1)n and so on.

C(10,6) = \frac{6!*7*8*9*10}{6!4!}

C(10,6) = \frac{7*8*9*10}{4!}

C(10,6) = \frac{5040}{4*3*2*1}

C(10,6) = \frac{5040}{24}

C(10,6) = 210.

5 0
3 years ago
What are the solutions of 8x2 = 6 + 22x? Check all of the boxes that apply.
Tamiku [17]

Answer:

x = 3 x = ‐1/4

Step-by-step explanation:

Was right on the quiz

6 0
2 years ago
Read 2 more answers
Other questions:
  • Thomas earns x dollars each week walking his neighbor’s dog. He also earns $10 allowance each week. Which expression represents
    5·1 answer
  • After six weeks the tomato plant that was given extra food and water was 26 cm tall . The tomato plant that was not given any ex
    5·1 answer
  • Charlotte has 12 t-shirts .one fourth of her t-shirts are green. How many of Charlotte's t-shirts at are green?
    7·1 answer
  • You conduct a hypothesis test for the mean of a population (H0 : p = 5) at the .05 significance level.
    5·1 answer
  • Jamal is 167 cm tall. Which expression finds Jamal’s height in dekameters? Use the metric table to help answer the question.
    6·2 answers
  • It is 143 miles from Columbus to Cleveland and 107 miles from Columbus to Cincinnati. How much further is it from Columbus to Cl
    7·1 answer
  • Use the Pythagorean Theorem to answer the questions.
    15·1 answer
  • If a cone is 6 inches tall and has a radius of 4 inches. What is its volume?
    7·1 answer
  • I need help and show work​
    9·1 answer
  • Write down the complement 17,30​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!