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
The first term in a pattern is 74. The rule is subtract 10. What is the sixth term in the pattern?
olga55 [171]
Answer: 14. Explanation: If you start off with 74 and need the sixth term, simply subtract 74 by 10, six times.
5 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (5, 4) and has a slope<br> of<br> 6/5
Sati [7]

Answer:

y=6/5x-2

Step-by-step explanation:

y=mx+C

Y=6/5X+C

4=6+c

c=-2

y=6/5x-2

5 0
3 years ago
Dominic makes and sells salsa. The function C = 2n + 200 represents his costs, in dollars, for producing n jars of salsa. His re
Elan Coil [88]

Answer:the function representing profit, P = 3n + 200

Step-by-step explanation:

The function C = 2n + 200 represents his costs, in dollars, for producing n jars of salsa.

The revenue, or the amount he receives for selling n jars, can be represented by the function R = 5n.

Profit = revenue - cost or expenses.

Therefore,

The function representing Dominic's profit, P, for selling n jars of salsa will be

P = 5n - 2n + 200 = 3n + 200

8 0
3 years ago
Read 2 more answers
The after-school basketball league has 35 seventh-graders and 15 eighth-graders. What percent of the after-school basketball pla
bogdanovich [222]
The answer is 30%. This is my work below

4 0
3 years ago
Read 2 more answers
Is 1.8L greater than 1,500 ML
Nata [24]

Answer:

yes

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • A scientist observes a petri dish containing a number of bacteria. On the first day, the dish had 300 bacteria on the second day
    9·2 answers
  • Cups of sugar is 3/4, cups of butter is 1/8 what is the number of cups of sugar for each cup of butter
    5·1 answer
  • 5x ( 7 - 2 ) + ( 8 + 1 )
    9·2 answers
  • Myra owns a car service that charges a $5 flat rate and an additional $0.50 per mile, which is represented by the equation y = 0
    9·2 answers
  • Write a linear equation that models the cost y of one person going on x rides at the fair. Graph the equation. Admission is $12
    9·1 answer
  • Probability can never be equal to 154Probability can never be equal to 154
    7·1 answer
  • Really need help quick GR5 question
    7·2 answers
  • Cavalieri's principle states that two solids with equal heights and base areas
    10·1 answer
  • (x + 3)2 - 13 = 9x adratic equa- е ots​
    11·1 answer
  • can you help me with my homework. Lauren was born in 1981.she got married at 27 years old and migrated 9 years later in which ye
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!