[tex] \underline{ \underline{ \text{question}}} : [/tex]
In the given figure , AP = BP = PC. Prove that [tex] \angle[/tex]ABC = 1 rt.angle.

~Thanks in advance ! ♡

[tex] \underline{ \underline{ \text{question}}} : [/tex]In The Given Figure , AP = BP = PC. Prove That

Answers

Answer 1

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 .

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 x°.

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

[tex]\angle PAB+\angle PBA+\angle PCB+\angle PBC=180[/tex]

Since they are all equivalent:

[tex]4x=180[/tex]

Hence:

[tex]x=45^\circ[/tex]

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

[tex]\angle ABC=\angle PBA+\angle PBC=45+45=90^\circ[/tex]

Answer 2

Answer:

this is your answer look it once.

[tex] \underline{ \underline{ \text{question}}} : [/tex]In The Given Figure , AP = BP = PC. Prove That

Related Questions

Find the slope of (5, 8) and (3, 12).

Answers

-2

use the formula of y2 - y1 / x2 -x1 to solve the problem:

12-8 / 3-5

since 12-8 = 4 and 3-5 = -2 we just need to divide 4/-2 and our answer is -2. :3

Bill bought a shirt for $35.80 plus he paid an additional 7% in sales tax. What was the sales tax?

Answers

Answer: $38.66

Step-by-step explanation: You find the amount that is taxed by multiplying 0.08 by $35.80 which is $2.86 and adding that to the original amount.

Answer:

$38.3

Step-by-step explanation:

The solution is just adding the answer of 35.8 * 0.07 (which is 2.506) to 35.80


Which fractions are equivalent to 4/12? Choose ALL the correct answer


2/10



1/9


1/6


2/6



1/3

Answers

The answer is 2/6 and 1/3

Answer:

The correct t answer are 1/3 and 2/6

I'm 100000000% sure the answers are 1/3 and 2/6.

if p = 8 what is the value of the expression (15 - 5) x (p - 6)

Answers

Answer:

5

Step-by-step explanation:

15-5(p-6)

when p=8,

=15-5(8-6)

=15-5(2)

=15-10

=5

Answer:20

Step-by-step explanation: Do 15-5=10 then plug in 8 as p then subtract 8 from 6which is 2 .Lastly times 10 by 2 which gives you 20.

I hope it helps :)

5x + 14 = 2x - 7

find the value of x

Answers

x = -7
That’s your answer :)

Answer:

x= -7

 5x + 14 = 2x -7

-5x            -5x

 14 = -3x -7

+7          +7

21 = -3x

x= -7

someone knows it, I need help

Answers

Answer:

The answer is A.

Step-by-step explanation:

In order to simplify, you have to collect like terms :

x² - 3xy - 5xy - 7y² + 4x² + 8y²

= (x² + 4x²) + (-3xy - 5xy) + (-7y² + 8y²)

= 5x² - 8xy + y²

The length of which line segment is equal to the exact value of the sine if theta?

Option 3: line segment OR
Option 4: line segment OS​

Answers

Answer: Option 2. Segment TS

====================================================

Explanation:

Recall that the sine of an angle is equal to the ratio of opposite over hypotenuse.

In other words,

sin(angle) = opposite/hypotenuse

With respect to reference angle theta, the side TS is opposite this angle. It is the leg furthest from the angle. The hypotenuse is the longest side segment TO. The hypotenuse is always opposite the 90 degree angle.

For a unit circle, the radius is 1, so segment TO is 1 unit long.

Therefore,

sin(angle) = opposite/hypotenuse

sin(theta) = TS/TO

sin(theta) = TS/1

sin(theta) = TS

A printer is printing photos. For every 15 photos, the printer takes 3 minutes.
Complete the table below showing the number of photos and the time it takes to print them.

Answers

Answer:

20, 6, 45, 10

Step-by-step explanation:

each minute is 5 papers so 3 min is 15 then 4 min is 20 papers

Answer: Number of photos: 15,25,35,40,50

Time: 3,5,7,8,10

Step-by-step explanation:

To find the time we divide the number of photos by 5. To find the number of photos we multiply the time by 5.when the number of photos is 35, the time is 35 divided by 5 which equals 7 minutes.

10. A bin of books at a bookstore had a 60% markdown off the original price and also offered a 35% coupon to the first 200 customers that entered the store that day. If Ally was the 39th customer, how much would she pay for a book that was originally $12.45?

Answers

Answer:

300%

Step-by-step explanation:

bc i know

300%
ik because that’s what someone else said ;)

A group of geometry students wrote the following definitions
for parallel lines.
• Jennifer: Two lines that never intersect.
• Bethany: Two lines whose perpendicular distance
between points remains constant.
• Darius: Two lines are parallel if and only if they lie in the
same plane and corresponding points are equidistant.
A
Which definition(s) is/are the most precise?
Bethany
Darius
Jennifer
All are precise definitions.
B
c
D

Answers

Answer:

jennifer

Step-by-step explanation:

this is for a retake for geometry pls help

Answers

Answer:

B. 40, 51.5, 88.5

Step-by-step explanation:

(5x - 4) + (2x + 3) + (3x- 4) = 180

10x - 5 = 180

10x = 185

x= 18.5

Substitute

5(18.5) - 4 = 88.5

2(18.5) + 3 = 40

3(18.5) - 4 = 51.5

Are rational expressions closed under addition, subtraction, multiplication, and division?

Answers

Answer:

closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions. A rational expression is any polynomial divided by any polynomial except for zero.

Step-by-step explanation:

HOPE IT HELPS YOU!!!

The vertex of a quadratic function is (6, 2), and the y-intercept of the function is (0, −70). The equation of the function in vertex form, f(x)=a(x−h)2+k, is shown.−70=a(0−6) squared+2

Answers

Answer:

The equation of the function in vertex form is represented by [tex]y = -2\cdot (x-6)^{2}+2[/tex].

Step-by-step explanation:

Let [tex](h,k) = (6,2)[/tex] and [tex](x,y) = (0, - 70)[/tex], now we substitute on the equation of the quadratic function and solve for [tex]a[/tex]:

[tex]y = a\cdot (x-h)^{2}+k[/tex]

[tex]-70 = a\cdot (0-6)^{2}+2[/tex]

[tex]-70 = 36\cdot a + 2[/tex]

[tex]36\cdot a = -72[/tex]

[tex]a = -2[/tex]

Therefore, the equation of the function in vertex form is represented by [tex]y = -2\cdot (x-6)^{2}+2[/tex].

Answer:

THE ANSEWR IS BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

b the seconed option

if g(x) = 3x - 5 and g(a) = 19, then 2a =?​

Answers

Answer:

Step-by-step explanation:

if g(a)=19

19=3a-5

24=3a

a=8

2a=16

6. Rita has 6 dimes and 1 quarter in her wallet. She finds some nickels in
her pocket. Write an expression that represents how much money Rita
Has.

PLEASE help this is due today at 4:00 :(​

Answers

Answer:

60+25+5x= x

Step-by-step explanation:

6 dimes is 60 plus the quarter plus a unknown number of nickles would equal x

Which of the following is not a function?

Answers

Answer:

option d.

{(1,3),(4,2),(2,0),(3,4)}

a cone has a diameter of 6 inches and a height of 8 inches. find the volume of the both in terms of pi and using 3.14 for pi.

Answers

Answer:

24π in³/75.36 in³

Step-by-step explanation:

We are looking for the volume of a cone with a diameter of 6 inches and a height of 8 inches.

First, divide the diameter by 2 to get the radius.

6 in/2 = 3-in. radius

Now, incorporate the formula for the volume of a cone. That is πr²h/3.

3.14 * 3² * 8/3

Square 3 to get 9.

3.14 * 9 * 8/3

Multiply 3.14 by 9 to get 28.26.

28.26 * 8/3

I recommend turning 28.26 into a improper fraction. That would be 1413/50.

1413/50 * 8/3

Can any cross-cancellation be done? Yes!

50 and 8 share a GCF of 2.

1413/25 * 4/3

1413 and 3 share a GCF of 3.

471/25 * 4/1

Multiply 471 by 4, and put it over 25.

1884/25

Simplify your answer.

75 9/25 = 75.36 in³, which is about 24π in³.

please help if ya know it :D

Answers

Answer:

C (0.9)

Step-by-step explanation:

Key skills needed: Solving one variable equations

1) we have the equation --> 12.72 = 5.52 + 8x

2) We need to solve for x.

To get x by itself, we subtract 5.52 from  both sides.  (12.72 - 5.52 = 7.2)

This means 8x = 7.2

3) Divide by 8 from both sides, and you will get x = 0.9 (7.2/8 = 0.9)

Which tool would be best to solve this problem?
Pythagorean Theorem
Triangle Angle Sum Theorem
Tangent Ratio
Sine Ratio
Cosine Ratio
Use that tool to solve for x. Show all work on the sketch
pad or on your paper.

Answers

Answer:

The pythagorean theorem would be the most helpful.

To solve this problem:

[tex]x^2 + 8^2 = 15^2\\x^2 + 64 = 225\\x^2 = 161\\x = \sqrt{161}[/tex]

Answer:

Pythagorean Theorem

Step-by-step explanation:

You want to use Pythagorean Theorem on right degree triangles. Using the formula:

a^2 + b^2= c^2, where a and b are the legs while c is the hypontuse( the slanted side of the triangle and the longest.) let plug in the numbers.

8^2+ x^2=15^2; Subsitution

64+x^2=225: Equalvelent Equation

x^2= 161: Subtraction Poperty of Equality

sqr root of 161= 12.688 or 12.69 or 12.7

x=12.689 ( if rounded to nearest hundredth) or x=12.7 if rounded to nearest tenth.

[tex]\sqrt{161}[/tex]

Write the equation in point-slope form that has a slope of -3/4 and passes through the point (2, -9).
PLEASE HURRY WILL GIVE BRAINLIEST!!!

Answers

Answer:

y=-¾x-15/2

Step-by-step explanation:

y--9=-¾(x-2)

y+9=-¾(x-2)

4y+36=-3x+6

4y=-3x+6-36

4y=-3x-30

y=-¾x-15/2

Step by step explanation

Answers

Answer:

[tex]\huge\boxed{\tt{x = -5 , y = 2}}[/tex]

Step-by-step explanation:

x = y - 7   ---------------------(1)

-y - 2x = 8 --------------------(2)

Put Equation (1) into (2)

- y - 2 ( y-7 ) = 8

-y - 2y + 14 = 8

-3y = 8 - 14

-3y = -6

Divide -3 to both sides

y = -6 / -3

y = 2

Put y = 2 in (1)

x = 2 - 7

x = -5

So,

x = -5 , y = 2

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Select all ratios equivalent to 24:15.
16:10
48:30
5:3

Answers

Answer:

The only one that works is 48:30

Step-by-step explanation:

You can't divide 24 by anything to get 16, nor 15 to get 10

5:3 means 15 was divided by 3, 24 divided by 3 is 8

Oak Grove Theater issued 3,900 tickets last weekend. This weekend, the theater issued 87% fewer tickets. How many tickets to comedies did the theater issue this weekend?

Answers

Answer:3,393 tickets

Step-by-step explanation:

You can use the butterfly method to solve this.

Jaden needs to keep at least $40 in his bank account. He just bought a pair of shoes for $145. How much money (x) did Jaden need to have in his account before buying the shoes to stay above his limit?

Answers

Jaden needed to have 185 dollars in his bank account before buying the shoes to stay above the limit

If you pay $3.36 in tax, what was the original price at an 8% sales tax

Answers

Answer:

$42

Step-by-step explanation:

Given

8% = $3.36100% = x

Cross multiply and solve for x:

x = $3.36*100/8 = $42

A biology class examined some flowers in a local meadow. Out of the 10 flowers they saw, 2 were perennials. What percentage of the flowers were perennials?

Answers

Answer:

yea

Step-by-step explanation:

yea

All Items 1 2 GE 6 7 8 10 4. Which statement describes a unit rate? A Joan played 1 game. В. Joan wrote 6 letters and 2 postcards. c. Joan threw the ball at 40 miles per hour. D. Joan has 3 candy bars and 1 pack of gum.​

Answers

Answer:

5 candy bars because then it will get eaten. i think. so then you add the 500 and he 2 and get your answer :)

2. Given the graph below, answer the following questions.
У

a. What is the function that represents line A?

Answers

Function A is increasing

Solve the inequality and enter your solution as an inequality comparing variable to solution-31>x-48

Answers

Answer:

solving the inequality [tex]-31>x-48[/tex] we get: [tex]\mathbf{x<17}[/tex]

Step-by-step explanation:

We need to solve the inequality [tex]-31>x-48[/tex]

Solving the inequality and finding value of x:

[tex]-31>x-48[/tex]

First we will be switching sides i.e. left hand side will become right hand side and right hand side will become left hand side.  In doing so, the inequality sign i.e. > will be reversed and changed with <

[tex]x-48<-31[/tex]

Now, for finding value of x, we will be adding 48 on both sides

[tex]x-48+48<-31+48\\x<17[/tex]

The value of x is less than 17 i.e. [tex]\mathbf{x<17}[/tex]

So, solving the inequality [tex]-31>x-48[/tex] we get: [tex]\mathbf{x<17}[/tex]

How much is 92 quadrillion cents

Answers

92 quadrillion cents is 92 quadrillion dollars
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