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
djverab [1.8K]
2 years ago
12

title=" \underline{ \underline{ \text{question}}} : " alt=" \underline{ \underline{ \text{question}}} : " align="absmiddle" class="latex-formula">
In the given figure , AP = BP = PC. Prove that \angleABC = 1 rt.angle.

~Thanks in advance ! ♡

Mathematics
2 answers:
steposvetlana [31]2 years ago
8 0

Answer:

See Below.

Step-by-step explanation:

In the given figure, AP = BP = PC.

And we want to prove that ∠ABC is a right angle.

Since AP = BP and BP = PC, we can create two isosceles triangles: ΔAPB and ΔCPB.

By the definition of isosceles triangles, in ΔAPB, ∠PAB and ∠PBA are equivalent. Let the measure of each of them be <em>x°</em>.

Likewise, in ΔCPB, ∠PCB and ∠PBC are equivalent.

And since AP = BP = PC, each of the angles∠PCB and ∠PBC will also be equivalent to <em>x°.</em>

<em />

And since the sum of the interior angles of a triangle total 180°, we acquire:

\angle PAB+\angle PBA+\angle PCB+\angle PBC=180

Since they are all equivalent:

4x=180

Hence:

x=45^\circ

∠ABC is the sum of ∠PBA and ∠PBC, each of which measures 45°. Hence:

\angle ABC=\angle PBA+\angle PBC=45+45=90^\circ

Deffense [45]2 years ago
4 0

Answer:

this is your answer look it once.

You might be interested in
What is the value of i 97 – i?<br> –i<br> 0<br> –2i<br> i Superscript 96
Valentin [98]

<em>The question is not clearly readable, but I'm assuming the expression which makes more sense, so you can have a clue</em>

Answer:

i^{97}-i=0

Step-by-step explanation:

<u>Powers of The Imaginary Unit</u>

The imaginary unit i is defined as

i=\sqrt{-1}

The first powers of i are

i^0=1

i^1=i

i^2=(\sqrt{-1})^2=-1

i^3=i.i^2=-i

i^4=i^2.i^2=1

And so on the cycle repeats every four numbers. To find the value of i^{96} we can find the remainder of 96/4=0. So i^{96}=i^0=1

The given expression is

i^{97}-i

Factoring

i(i^{96}-1)

Since i^{96}=1

=i(1-1)=0

The required value is 0

6 0
3 years ago
Read 2 more answers
Evaluate 2LW + 2HL + 2HW for L = 3,W = 2, and H = 4. 48 46
JulijaS [17]
2(3)(2) + 2(4)(3) + 2(4)(2)

2(6) + 2(12) + 2(8)

12 + 24 + 16

52

Hope this helps!
7 0
3 years ago
Read 2 more answers
What would (2,2) be as a Equation??
ololo11 [35]
Y=x i hope this helps you!
4 0
3 years ago
PLEASE HELP ASAP!!!! I HAVE ONLY 2 ATTEMPTS LEFT! I WILL AWARD BRAINLIEST IF YOU ANSWER THEM BOTH CORRECTLY!
liq [111]

Answer:

They both have no possible solution.

Step-by-step explanation:

Don't know how to explain, but it's 100% right

7 0
3 years ago
Read 2 more answers
Find the value of x and y in the parallelogram below.
Delicious77 [7]
In a parallelogram, the opposite angles are equal and the sum of the angles is 360 degrees.

W = Z and Y = X
3y = 3x
Y = X = y
3y + y + 3x + x = 360
3x + x + 3x + x = 360
8x = 360
x = 360/8 = 45

Therefore, x = 45; y = 45
7 0
3 years ago
Other questions:
  • A survey of 600 randomly selected employees in Company X found that 150 of them completed web analytics training. If there were
    5·1 answer
  • Find the x- and y- intercept of the line. -4x +2y =24
    7·2 answers
  • Which image would provide a good counterexample to the statement below?
    15·1 answer
  • Two rigid transformations are used to map JKL to MNQ. The first is a translation of vertex L to vertex Q. What is the second tra
    5·2 answers
  • Pls help with this question
    9·1 answer
  • There are many examples of how teNathaniel stops at the grocery store on his way home. He buys 4 loaves of bread and a cheesecak
    13·1 answer
  • martin reads 19 pages of a novel in 12 minutes. complete the proportion and use it to find x, the number of pages he reads in 42
    6·1 answer
  • A large plastic bucket is in the shape of a right, circular cylinder with dimensions shown below. If there are volume of this cy
    13·1 answer
  • At a sale, coats were sold for $104 each. If the coats originally cost $160 each, what
    13·1 answer
  • For questions 3 – 5, an airplane is heading south at an airspeed of 540 km/hr, but there is a wind blowing from the northeast at
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!