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
Troyanec [42]
3 years ago
13

Which of the following is the measure of angle RCP?

Mathematics
2 answers:
enyata [817]3 years ago
5 0

Answer:

From the information provided we have:

PD ≅ RD (= 11)

∠CPD ≅ ∠CRD (= 90°)

They both have CD as the hypotenuse.

=> ΔCPD ≅ ΔCRD

=> ∠PCD ≅ ∠RCD

Now we know that:

∠RCP = ∠PCD + ∠RCD

∠RCP = 2 · ∠RCD

∠RCP = 2 · 33° = 66°

So the answer is B

RideAnS [48]3 years ago
4 0

Answer: B. 66°

Step-by-step explanation:

In then figure figure , we consider two triangle ΔPCD and Δ RCD in which

∠P ≅ ∠R = 90°

PD≅RD =11

CD≅CD   [Reflexive Property]

Hence, By HL theorem we have

ΔPCD ≅ Δ RCD

[ HL theorem says that if the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of other right triangle, then the triangles are said to be congruent.]

Now , By CPCTC we have

∠PCD≅∠RCD

Then , ∠RCP = 33°+33°=66°

You might be interested in
Evaluate 3a2 + 4b2 for a =<br> 2 and b = 3.<br> O<br> 168<br> 48<br> O<br> 36
Juliette [100K]

Answer:

48

Step-by-step explanation:

a=2

b=3

3a^2+4b^2

3(2)^2+4(3)^2

3(2)(2)+4(3)(3)

3(4)+4(9)

12+36

48

Hope this helps ;) ❤❤❤

8 0
3 years ago
Read 2 more answers
What is the square root of 70 million
lutik1710 [3]
The square root of 70 millions is <span>8366.60026534</span>
8 0
3 years ago
Ramya’s mom was hired for a new job with a yearly income of $84,000. The total of all deductions from her paycheck will be 25% o
77julia77 [94]

Answer:

1,750

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Describe the translation of the figure ABCD. Complete the sentence to explain your answer
irina1246 [14]
No picture. Please repost
4 0
3 years ago
?
MrRissso [65]

Answer:

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Need answers for 2,3 and 4
    9·2 answers
  • What is y=2^x+4 on graph
    15·1 answer
  • How do you find the length of the legs of an isosceles triangle?
    13·2 answers
  • Is 3x=4 a linear function
    10·1 answer
  • Someone help me ?? Please
    10·1 answer
  • At school athletic events you can buy 3 drinks and 2 hot dogs for $4.80 or you can buy 1 drink and 1 hot dog for $2.00. How much
    8·1 answer
  • A rectangular rug has an area of 84 square feet. If the length is 8 feet more than the width, find the dimensions of the rug.​
    12·1 answer
  • I NEED HELP PLEASE
    12·1 answer
  • Solve for x.<br><br><br><br> A. 9<br> B. 42<br> C. 10<br> D. 12
    7·2 answers
  • 13. jewelry marena is using a certain number of blue beads in a bracelet
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!