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
Zina [86]
3 years ago
13

Square OPQR is inscribed in triangle ABC. The areas of △AOR, △BOP, △CRQ are 1, 3, and 1, respectively. What is the area of squar

e OPQR?

Mathematics
1 answer:
FromTheMoon [43]3 years ago
7 0

Answer:

9 units²

Step-by-step explanation:

We know that ΔCRQ and ΔBOP are right triangles because RQ and OP are perpendicular to CB.

ΔAOR must also be a right triangle because ∠AOR = ∠OBP and ∠ARO = ∠RCQ.

Because of the Angle-Angle-Angle theorem, we know that ΔAOR ≅ ΔBOP ≅ ΔCRQ.

AR/AO = OP/PB

3(1/2)(AR)(AO) = (1/2)(OP)(PB)

PB = 6, OP = 3

3 x 3 = 9 units²

You might be interested in
The number forty one to the power of negative start fraction two over five end fraction end power can be written in the form sta
Fantom [35]
From the description we can infer that we have the expression: 41^{- \frac{2}{5} }.
Now, to write our expression as a as a root, we are going to apply the law of exponents: x^{-n}= \frac{1}{x^n} first
41^{- \frac{2}{5} }= \frac{1}{41^{ \frac{2}{5} }}

Next, we are going to apply the law about fractional exponents: x^{ \frac{m}{n}}= \sqrt[n]{x^m}
\frac{1}{41^{ \frac{2}{5} }}= \frac{1}{ \sqrt[5]{41^2} }

We can conclude that the value of B is 2.

3 0
3 years ago
Marissa drew and labeled 4 triangles on grid paper as shown below. Which triangle appears to be an obtuse triangle
Pachacha [2.7K]

The triangle that must appear to be obtuse mmust have one of its angle to be greater than 90 but less than 180 degrees:

<h3>What are obtuse triangles?</h3>

Obtuse triangles are triangles that has one of theor angles to greater than 90 degrees.

Most obtuse triangles has two acute angles (angles less than 90 degrees) and a obtuse angle (angles between  90 and 180 degrees)

Hence the triangle that must appear to be obtuse mmust have one of its angle to be greater than 90 but less than 180 degrees:

Learn more on obtuse triangle here: brainly.com/question/3250447

5 0
2 years ago
Please help me I would really appreciate it this really affects my grade need the answer the ASAP
Drupady [299]

Answer:

27/6, 4 3/6, or simplified version 4 1/2

Step-by-step explanation:

Always convert the mixed numbers into an improper fraction before you solve, this makes it easier to solve.

2 4/6 = 16/6

1 5/6 = 11/6

3 4/6 = 22/6

Now we solve. Remember, you do NOT add the denominator, leave it as 6 not 12. You only add the numerator.

16/6 + 11/6 = 27/6, 4 3/6 or simplified as 4 1/2

22/6 + 5/6 = The same as above.

6 0
4 years ago
You need to know the number of different arrangements possible for five distinct letters. You decide to use the permutations rul
Mashcka [7]

Answer:

Both, you and your friend, are correct.

Step-by-step explanation:

5 P 5 = 5!

A shortcut I learned is that in the permutation equation nPn when n is the same on both sides, it is equal to if you used factorial, n!.

8 0
3 years ago
Read 2 more answers
What is the solution to the following system?
notsponge [240]

Answer:

the answer is c (2,1,0)

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • 25 points answer it please Fast
    7·1 answer
  • How do you do transversal of parallel lines??
    13·1 answer
  • A bag contains 5 red marbles, 3 green ones, and 2 blue marbles. Ken draws 2 marbles one after the other without replacement.
    5·1 answer
  • Factor 7x² – 31x – 20.
    9·2 answers
  • Math does anyone know the answer?
    12·1 answer
  • A school has 20% of girls and 160 boys, how many kids are in the school?
    5·1 answer
  • The loan will be for $25900 over 5 years at 6.25% what will the interest be on the loan
    7·1 answer
  • Monica rode her bike 24 kilometers in 1.5 hours what was her speed
    9·1 answer
  • Y= mx(slope)+b(y intercept)
    15·1 answer
  • A die is rolled 200 times with the following results.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!