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
Mila [183]
3 years ago
14

Help plz How do you solve

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
7 0

Answer:

y=4\sqrt{3}\ units

Step-by-step explanation:

Triangle MRN is created by folding an equilateral triangle by half. Since triangle MRN is right triangle, the equilateral triangle must be folded along the height drawn to one side.

In equilateral triangle with side length of a units, the height is \dfrac{a\sqrt{3}}{2}\ units and the height is greater than half the side because

\dfrac{a\sqrt{3}}{2}>\dfrac{a}{2}.

The leg with length x units has the smaller projection (2 units long) than the leg with length y units has (6 units long).

This means the leg with length y units is the height of the equilateral triangle. If the leg with length y units is the height of the equilateral triangle, then the hypotenuse MN = 8 units is the side of the equilateral triangle and lex with length x units is half the side, so x = 4 units.

By the Pythagorean theorem,

y^2=8^2-4^2\\ \\y^2=64-16\\ \\y^2=48\\ \\y=4\sqrt{3}\ units

You might be interested in
If the average(arithmetic mean) of 5 and r is 7 and the average of 3 and s is 3 , what is the average of r and s?
Norma-Jean [14]

Answer:

C

Step-by-step explanation:

Calculate the values of both r and s, that is

\frac{5+r}{2} = 7 ( multiply both sides by 2 )

5 + r = 14 ( subtract 5 from both sides )

r = 9

and

\frac{3+s}{2} = 3 ( multiply both sides by 2 )

3 + s = 6 ( subtract 3 from both sides )

s = 3

Hence

\frac{9+3}{2} = \frac{12}{2} = 6 → C

5 0
3 years ago
HELP ME PLZZ, ASAP!!<br><br> In your own words explain what a Cross Section is.
wariber [46]

Answer:

A cross section is a surface or shape that is exposed by making a straight cut through something especially at right angles to an axis.

4 0
3 years ago
11) Original price of a lizard: $39.99 Discount: 40% Tax: 6%​
denis23 [38]

Answer:

16.9

Step-by-step explanation:

.......ur welcome..........

40% of 39.99=15.95

6% of 15.95= 0.95

15.95 × 0.95=16.9

3 0
3 years ago
If m∠4 = 35, find m∠2. Explain.
Bad White [126]

Answer:

Option (1)

Step-by-step explanation:

From the picture attached,

Triangle CAB is a right triangle.

Therefore, m∠1 = 90°

Similarly, m∠ACD = 90°

m∠ACD = m∠ACB + m∠BCD = 90°

             = m∠3 + m∠4 = 90°

Since m∠4 = 35°,

m∠3 + 35° = 90°

m∠3 = 90° - 35°

        = 55°

In the triangle ABC,

m∠ACB + m∠CBA + m∠BAC = 180° [Property of a triangle]

m∠3 + m∠2 + m∠1 = 180°

55° + m∠2 + 90° = 180°

m∠2 + 145° = 180°

m∠2 = 180° - 145°

        = 35°

Since, AB║CD and BC is a transverse,

Therefore, m∠2 = m∠4 = 35° [Alternate interior angles]

Option (1) is the correct option.

4 0
3 years ago
Find the value of y that makes the equation y = -2x + 4 true when x = 1.
Crazy boy [7]
Y = 2, so C. Have a good day :)
3 0
3 years ago
Read 2 more answers
Other questions:
  • Select all terms that are "like" <br> ○ xy2<br> ○2xy<br> ○x2<br> ○-xy<br> ○2x2y<br> ○1/2 xy
    9·2 answers
  • When using the Internet to conduct consumer research, be sure to a. use reliable websites. c. identify the purpose of the websit
    6·2 answers
  • ( 2-Part Question.)
    12·2 answers
  • Question is in the picture
    11·1 answer
  • = (4x3 + 7x2 – 2) (2x2 – 3x + 8)<br> how to simplify this?
    6·1 answer
  • In the name Hernandez find the ratio of number of vowels to the length of the name
    8·1 answer
  • Under her cell phone plan, Rajani pays a flat cost of $65 per month and $5
    6·1 answer
  • For triangles Y Z X and C D B, sides Y Z, Z X, C D, and B D are 2.5 centimeters. Sides B C and Y X are 3.8 centimeters. Angles B
    14·2 answers
  • Don deposited $3,500 for 5 years on 2.40 pa interest rate in his savings account how much simple interest will he earn
    12·1 answer
  • What is the arithmetic mean for the following numbers,88,80,75,70,38,45,70,60,60,50​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!