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
Maria needs to make a total of 80 deliveries this week. So far she has completed 48 of them. What percentage of her total delive
Amiraneli [1.4K]

What I always do to solve this, is find a common factor for each number first.

Usually 4 or 5 works best. I'll use 4.

4 goes into 80 20 times, which means that 4 = 5%  of 80.

If 4 = 5%, and 48 = 12 x 4,    then 48 must equal 60% of 80.

(Another way to solve this problem is:  simplify 48 / 80.  This simplifies to 3/5.

3/5 = 60%)!

4 0
3 years ago
Tom's tank hold 12.5
enyata [817]

Answer:

$24.5 = 1 tank

Step-by-step explanation:

All you have to do is multiply.

Since 12.5 gallons = 1 tank,

and $1.96 = 1 gallon

to get the answer, the equation would be,

$1.96*12.5 = 1 tank

$24.5 = 1 tank

Hope it helps!!

7 0
3 years ago
Read 2 more answers
What is an equation of the line that is parallel to y=-4x - 5 and passes through the point (-2, 6)?
Alex73 [517]

Answer:

B.) y=-4x-2

Step-by-step explanation:

If the line is parallel, the slope is the same

y = -4x-5 has a slope of -4, so the new line has a slope of -4

We have a slope and a point, so we can use point slope form

y-y1 = m(x-x2)

y-6 = -4(x--2)

y-6 = -4(x+2)

Distribute

y-6 =-4x -8

Add 6 to each side

y-6+6 = -4x-8+6

y = -4x-2

3 0
3 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
FinnZ [79.3K]

Answer:

x = 12

Step-by-step explanation:

IMPORTANT: Both answers should add up to 180 if they dont you did it wrong!

(10x - 20) + (6x + 8 ) = 180 plug in 12 for both of them

(10 * 12 - 20) + 6 * 12 + 8) = 120

(120 - 20) + (72+ 8 ) = 180

(100) + (80) = 180

so x = 12

hope this  helps please make brainliest

4 0
3 years ago
I am not getting this math?<br>​
gladu [14]

Answer:

100

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • Billy Bob got his first job earning minimum wage. If he earns $108.75 after working 15 hours, how much money will he earn after
    9·2 answers
  • Solve each equation.<br>1. 9/2x+18+3x=11/2<br>2. (x+6)-(2x=7)-3x=-9
    8·1 answer
  • Skylar's grades on four math tests are 85, 78, 77, and 69. What does Skylar need to score on the next test in order to have a me
    12·1 answer
  • Astrid is in charge of building a new fleet of ships. Each ship requires 404040 tons of wood, and accommodates 300300300 sailors
    15·2 answers
  • Carla needs to rent storage space for some of her belongings. She paid a one-time original storage fee of $25.00, and now pays $
    15·1 answer
  • A total of 600 of the 1,000 people living in a retirement community classify themselves as Republicans, while the others classif
    10·1 answer
  • Which pairs of quadrilaterals can be shown to be congruent using rigid motions?
    15·1 answer
  • Choose the equation below that represents the line passing through the point (1, −4) with a slope of one half
    9·2 answers
  • Write a coordinate proof given quadrilateral ABCD with vertices A (3, 2), B (8, 2), C (5, 0), and D (0, 0).
    15·1 answer
  • You are having a bake sale to raise money for your athletic team to buy t-shirts. Someone donated $10 and you plan on selling ca
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!