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
erma4kov [3.2K]
3 years ago
11

In the figure shown, ABC is a right triangle with side lengths a, b, and c, and CD is an altitude to side AB. The side lengths o

f triangle ACD are b, h, and r, and the side lengths of triangle CBD are a, s, and h.
Which proportions are true?


A) c/a = a/s and c/b = b/r


B) c/a = s/a and c/b = r/b


C) c/b = a/s and c/a = b/r


D) c/b = s/a and c/a = r/b

Mathematics
1 answer:
ycow [4]3 years ago
5 0

Answer:

A

Step-by-step explanation:

In the figure shown, ABC is a right triangle with side lengths a, b, and c, and CD is an altitude to side AB. This altitude divides the triangle into two right triangles ADC and BDC. In these triangles,

  • \angle CBD\cong \angle ACD\cong \angle CBA
  • \angle DCB\cong \angle DAC\cong \angle BAC

So,

\triangle ABC\sim \triangle CBD\sim \triangle ACD

1. From the similarity \triangle ABC\sim \triangle CBD, you have

\dfrac{AB}{BC}=\dfrac{BC}{BD}\\ \\\dfrac{c}{a}=\dfrac{a}{s}

2. From the similarity \triangle ABC\sim \triangle ACD, you have

\dfrac{AB}{AC}=\dfrac{AC}{AD}\\ \\\dfrac{c}{b}=\dfrac{b}{r}

Hence, option A is true

You might be interested in
Paisley is going to invest $28,000 and leave it in an account for 14 years. Assuming the interest is compounded monthly, what in
abruzzese [7]

Answer:

r=7

Step-by-step explanation:

74000=28000(1+r/12)^12(14)

divide 74000 by 28000, and cancel out 28000.

1.00580=1+r/12

(100) .06962=r

r = 6.96198

the 6 after the 9 rounds 9 to 0, which rounds the 6 to 7

r=7

5 0
3 years ago
I WILL MARK BRAINLIEST A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to buil
Alona [7]

Using a system of equations, it is found that since 20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable c: number of child bikes.
  • Variable a: number of adult bikes.

Each child bike requires 4 hours to build, as do each adult bike. The company has 100 hours of testing, hence:

4c + 4a = 100.

c + a = 25.

With 20 child bikes and 6 adult bikes in a week, we have that c = 20, a = 26, hence:

c + a = 26

20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

4 0
2 years ago
In the base 5 number system, which number comes after 444,444?
RSB [31]
I think it’s 555,555






3 0
3 years ago
In which quadrant is the number 6 – 8i located on the complex plane?
antoniya [11.8K]
<span>The number 6 – 8i is located in the 4th quadrant </span><span>on the complex plane.</span>
4 0
3 years ago
Read 2 more answers
What is the area of the trapezoid shown below?<br> 2<br> 15<br> 12<br><br> help fast please!!!
Ugo [173]

Answer:

78 units2

Step-by-step explanation:

The Area of the triangle is 54 units2

The rectangle on the side has an area of 24 units2.

Add them together, and you get 78.

I hope this helps!

pls ❤ and give brainliest pls

7 0
3 years ago
Other questions:
  • Some racquet balls are sold in cylindrical cans of three balls. Each ball has a diameter of 2.25 inches. The can has a diameter
    8·2 answers
  • Find the distance between the points (4,-2) and (0,10)
    15·1 answer
  • Leila went to see a baseball game. The game started at 11:39AM and ended at 3:15 PM. How long was the game?
    8·2 answers
  • Which of the following inequalities matches the graph? (see attached photo)
    14·2 answers
  • Which pair of ratios is proportional?
    13·2 answers
  • What is the answer to 3x – 3 = 18​
    13·2 answers
  • A force of G pounds is required to pull an object weighing W pounds up a ra
    7·1 answer
  • Plz help, this question is in khan academy
    7·1 answer
  • Given that 6RSB ~ 6ZQM, list the three pairs of congruent angles and state the three equal ratios of
    11·1 answer
  • Pythagoream Theorem Escape Room
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!