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
Arte-miy333 [17]
3 years ago
11

Am I right?? * Show examples & details if I am wrong!! *

Mathematics
1 answer:
baherus [9]3 years ago
8 0

Yes, you are correct.

From the image, we can see 3 triangles, the large triangle and the two triangles that make the larger triangle.

All 3 of these triangles are similar since they're angle measurements are the same (can be proven by geometry).

We can gather the following information from the given information.

  • The largest triangle (the one made up of two triangles) has a hypotenuse of 3+9=12, and a leg length of x. The hypotenuse to leg ratio is 12/x
  • The second largest triangle has a hypotenuse length x and leg length 9. The hypotenuse to leg ratio is x/9

We know the hypotenuse to corresponding leg ratio must be equal since these two triangles are similar. Thus, we have the equation:

12/x = x/9

Using the cross product property gives us:

x² = 9 × 12

x² = 108

Taking the square root of both sides gives us:

x = √108

= 6 √3

Thus, your answer is correct. Great job!

Let me know if you need any clarifications, thanks!

You might be interested in
Which of the following statements is correct? Group of answer choices For day-to-day business data analysis, most firms rely on
frosja888 [35]

Answer:

Step-by-step explanation:

From the answer choices available the answer that is correct is that for day-to-day business data analysis, most firms rely on a large staff of expert statisticians. This is because on a daily basis firms receive large sets of data from all of their business movements, therefore a large staff of highly experienced individuals is needed in order to handle and document all of these numbers carefully so that no mistakes are made. The smallest mistake in the firm's financial accounts can lead to a very costly loss for the company.

5 0
2 years ago
A horizontal line goes through the point (–7,10).
andrey2020 [161]

Answer:

The slope of the line is zero

Another point on the line is (3,10).

The equation of the line is y = 10.

Step-by-step explanation:

an i get brainliest plz

3 0
3 years ago
Read 2 more answers
Pleas help!!!! Brainliest and points!!
andreev551 [17]

Answer:

Step-by-step explanation:

Hi!

Here is the formula for point slope form: y-y1=m(x-x1)

Our slope in this case is 5, and our points are (1, 9). 1(x1) and 9(y1)

So, if we substitute our given data into the formula, here is what we will get.

y-9=5(x-1)

Thus, our answer should be:

y-9=5(x-1)

I hope this helps!

:)

5 0
2 years ago
Read 2 more answers
Review: To simplify an expression, combine like terms by adding or
gavmur [86]

Answer:

10b + 2

Step-by-step explanation:

To simplify this expression. 10b + 7 - 3 - 2​ use the sample you demonstrated above to simplify it

10b + 7 -3 -2

combine the like terms

10b + 7 - 5

10b + 2

4 0
3 years ago
4.Find the length of the diagonal of a rectangle having dimensions 16 cm and 12 cm.
nignag [31]

Answer:

20 cm

Step-by-step explanation:

So from the problem we get that the two sides of the rctangle are 16 cm 12 cm which are base perpendicular of the right angle triangle. H = 20 cm. So the diagonal of the rectangle = 20 cm.

7 0
3 years ago
Read 2 more answers
Other questions:
  • The Hydro water department has a monthly service charge of $13.90 and a volume charge of $1.45 for every 100 cubic feet of water
    8·1 answer
  • Bernie Spent 1 hour and 57 minutes knitting a scarf for her grandsonshe spent 1 hour and 21 minutes knitting a scarf for her gra
    7·1 answer
  • Colleen already owns 28 hair bands, and additional hair bands are priced at 1 for a dollar.
    14·1 answer
  • if this cylindrical vase were filled with water. approximately how much water would it contain? A. 63in^3 B. 126in^3 C. 251in^3
    15·1 answer
  • Can you form a triangle with angles that measure 70,90 and 20°
    10·2 answers
  • Derek heard someone say that high school quarterbacks in Texas are almost all more than 6
    14·1 answer
  • С a Y Z D B b E А Choose 1 answer: A Vertical angles B Complementary angles © Supplementary angles
    6·1 answer
  • Convert the angle - 3 radians to degrees, rounding to the nearest 10th.
    13·1 answer
  • A coin-operated drink machine was designed to discharge a mean of 7 ounces of coffee per cup. In a test of the machine, the disc
    9·1 answer
  • The pH of a fruit juice is 5.6. Find the hydronium ion concentration, [H3O+], of the juice. Use the formula pH=-log[H3O+].
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!