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
Nutka1998 [239]
3 years ago
8

Find x in the given figures.

Mathematics
1 answer:
marin [14]3 years ago
4 0

Answer:

\large\boxed{X=\sqrt{12}\ in=2\sqrt3\ in}

Step-by-step explanation:

ΔADC and ΔCBD are similar. Therefore the corresponding sides are in proportion:

\dfrac{AD}{CD}=\dfrac{CD}{DB}

We have

AD = 2, CD = X, DB = 6.

Substitute:

\dfrac{2}{X}=\dfrac{X}{6}             <em>cross multiply</em>

X^2=(2)(6)\\\\X^2=12\to X+\sqrt{12}

\sqrt{12}=\sqrt{4\cdot3}=\sqrt4\cdot\sqrt3=2\sqrt3

You might be interested in
Find the probability that a point is chosen randomly inside the rectangle is in each given shape...
Arlecino [84]

By taking the quotients between the areas, we see that:

  • a) P = 0.275
  • b) P = 0.85

<h3>How to find the probabilities?</h3>

First we need to find the areas of the 3 shapes.

For the triangle, the area is:

T = 3*5/2 = 7.5

For the blue square, the area is:

S = 3*3 = 9

For the rectangle, the area is:

R = 10*6 = 60

Now, what is the probability that a random point lies on the triangle or in the square?

It is equal to the quotient between the areas of the two shapes and the total area of the rectangle, this is:

P= (7.5 + 9)/60 = 0.275

b) The area of the rectangle that is not the square is:

A = 60 - 9 = 51

Then the probability of not landing on the square is:

P' = 51/60 = 0.85

If you want to learn more about probability:

brainly.com/question/25870256

#SPJ1

6 0
2 years ago
A solution to a system of two linear equations is where they intersect
Mumz [18]

A. Always

Two lines don't always intersect, but the solutions are always where they intersect.

3 0
3 years ago
FREEEEEEE POINTSSSSSSSS
Naddik [55]

Answer:

ty

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Write as an expression using an negative exponent 1/64
svetlana [45]
64^-1
Hope this helps!
7 0
4 years ago
Read 2 more answers
Someone help me with finding the similarity statement and ratios of the side lengths cuz idk if it’s similar
andreyandreev [35.5K]

When triangles are similar, ratios of corresponding side lengths are the same. The side lengths you know are CD, DU, VW, WU. (You also know CU, but you do not know the corresponding length VU.)

The ratios can be formed in any convenient way, but it is already clear that the triangles are not similar. CD = 73 is a prime number, and neither DU nor VW is a multiple of that. For example, ...

... CD/VW = 73/84 ≠ 48/55 = DU/WU

5 0
3 years ago
Other questions:
  • Can someone help me plz<br> (-5x^4y^2)^3
    15·1 answer
  • In circle A shown below, Segment BD is a diameter and the measure of Arc CB is 48°:
    6·2 answers
  • A local hamburger shop sold a combined total of 500 hamburgers and cheeseburgers on Wednesday. There were 50 more cheeseburgers
    9·1 answer
  • Evaluate |2 5/6 +y| for y= 7/4
    8·1 answer
  • Find the product of 3 1/5 and 5/8. Express your answer in simplest form.
    15·2 answers
  • (50 points!)
    9·1 answer
  • Explain how to determine if something is a vector space or not
    14·1 answer
  • Three years ago a school spent four hundred thirty-eight thousand, seven hundred sixty-nine dollars and seventy-nine cents build
    11·1 answer
  • Can someone please help me with this.
    7·1 answer
  • PLEASE Help!!!!
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!