It is known that Ray AP bisects angle CAT. If m<CAT = 5x+17 and m<PAT = 3x-4, then determine the value of x.​

Answers

Answer 1

Answer:

x = 25

Step-by-step explanation:

It is given that, ray Ray AP bisects angle CAT. It means,

[tex]\angle CAT=\angle CAP+\angle PAT[/tex]

Also, [tex]\angle CAP = \angle PAT[/tex]

It gives, [tex]\angle CAT=2\angle PAT[/tex]

ATQ,

[tex]\angle CAT = 5x+17 \ \text{and}\ \text{PAT}=3x-4[/tex]

So,

[tex]5x+17=2(3x-4)\\\\5x+17=6x-8[/tex]

Taking like terms together,

[tex]5x-6x=-8-17\\\\-x=-25\\\\x=25[/tex]

So, the value of x is 25.


Related Questions

A basketball player scored 30 times during one game. she scored total of 50 points, two for each two point shot and one for each free throw. How many two point shots did she make? How many free throws

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Answer:

it is 20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

3x + 5 = 20 - 2x
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x=3

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Answer:

18x

Step-by-step explanation:

7.86÷0.2
I need you to answer with step by step explaination

Answers

1. Moved the decimal on both sides
2. The equation became 78.6/2
3. Divided 7/2, got 3
4. Divided 8/2, got 9
5. Put the decimal point on the preferred spot
6. Divide 6/2, got 3
7. 78.6/2 equals 39.3

Ummm this is prolly the last time tehe

Answers

Answer:

1. 25% increase

2. 90% decrease well you get 8.4 but that's the closest

3. 71% increase

4. 20% decrease

5. 75% decrease

6. 150% increase

Step-by-step explanation:

The Gordon family plans to buy a TV. One TV has a purchase price of $330 and an estimated yearly operating cost of $14. The other has a purchase price of $369 and an estimated yearly operating cost of $9. Which TV should the Gordons buy if they plan to keep it for 8 years? Use rational functions to help justify your answer

Answers

Answer:

Step-by-step explanation:

They should purchase the $369 one with the $9 plan.

330 + (14x8) =442

369+ (9x8) = 441

Hope this helps!

Answer:

rational functions that model the average annual cost of each television if it is owned for x years, such as f(x)= (330+14x)/x and

g(x)= (369+9x)/x

calculation proving that over 8 years, the annual cost for the $330 television is $55.25; for the $369 television, it is $55.13

statement that the Gordons should buy the $369 television because it is less expensive overall

Step-by-step explanation:

edge 2022

A case of tomato cans weighs 563 dekagrams. A case of soup cans weighs 458 dekagrams. How much do the two cases weigh together in decigrams? Use the metric table to help answer the question.

Metric Table
kilo- 1,000 hecto- 100 deka- 10 unit 1 deci- 0.1 centi- 0.01 milli- 0.001
o 1,021 decigrams
o 10,210 decigrams
o 102,100 decigrams
0 1,021,000 decigrams

Hurry please i need help.

Answers

Answer:

  102,100 decigrams

Step-by-step explanation:

  (564 dag + 458 dag) = 1021 dag

  1021 dag × 100 dg/dag = 102100 dg

The two cases together weigh 102,100 decigrams.

_____

1 dag = 10 g

1 dg = 0.1 g

Answer:

102,100 decigrams.

Step-by-step explanation:

The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression 2.75+0.10x, where x is the number of years since 1980.

Which part of the expression corresponds to the cost of movie tickets in 1980?

Answers

Answer:

2.75

Step-by-step explanation:

0.10 represents the rate at which prices have increased since 1980..

2.75 represents the price in 1980

This can be confirmed by inputting 0 as the value of x.

2.75+0.10(0) = 2.75

If a = 7 and b=2 what is (a-b)²

Answers

Answer:

25

Step-by-step explanation:

[tex](7 - 2) { }^{2} [/tex]

[tex] = 5 { }^{2} [/tex]

[tex] = 25[/tex]

Answer all ten questions for tons of points. Please don’t take forever

Answers

Answer:

Hey looks like you did'nt post the question

msg me below and ill try to help you

The length of a rectangle is three times its width. if the perimeter of the rectangle is 48 yd, find its area.

Answers

Answer:

all the sides multiplies should equal 48

Step-by-step explanation:

sorry I don't know

The rectangle will have a 432 yd² area.

What is Area?

The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

Given, The length of a rectangle is three times its width. if the perimeter of the rectangle is 48 yd

Let "l " be the length of the rectangle

thus, the width of the rectangle = l/3

Since the Perimeter of the rectangle  = 48 yd

From the general formula of the Perimeter of the rectangle:

perimeter = 2*(length + width)

In our case

Perimeter = 2*( l + l/3)

Perimeter = 2*(2l/3)

Perimeter = 4L/3

Thus,

4L/3 = 48

L = 36 yd

So width = 36 /3 = 12

Since the area of the rectangle = length * width

Area = 12 * 36

Area = 432

therefore, the area of the rectangle will be 432 yd².

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HELLLLLLLLPPPPPPPPPPPP!!!!!!

Answers

Answer:

3 bars of soap and 2 toothbrushes.

Step-by-step explanation:

1m-23=1+4m Please help

Answers

Answer:

m= -8

Step-by-step explanation:

Answer:

m=-8

Step-by-step explanation:

Hope this helps :)

True or False: The Sine Function, y=sin(2), has a Horizontal Asymptote.
True
O False

Answers

Answer:

true

Step-by-step explanation:

An ordered pair is written as:
(domain, range)
(range, domain)

Answers

Answer:

the answer is (domain, range) or (x,y)

An ordered pair is written as, (domain, range). So Option A is correct

What is Domain and Range ?

The domain of a function is the set of all input values (independent variable) for which the function is defined and produces a valid output (dependent variable).

The range of a function is the set of all possible output values of the function. It represents the set of all possible values of the dependent variable.

The set of all "x" values constitutes the domain, and the set of all "y" values constitutes the range, in a set of ordered pairs.

You should keep in mind that ordered pairs are represented by the following symbols: (x, y).

Find the domain when examining a collection of ordered pairs by compiling a list of all the relation's x values.

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Each of the 25 students in Mr Walker's class sold 16 raffle tickets. If each ticket costs $15 how much money did Mr Walker's students raise?​

Answers

Answer: $6000

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What is the value of the 7in the following number? 2,104.47

Answers

Answer:

7 hundredth is the value of 7 in the question

What is the value of the expression?
8 1/2 - 2 + 4 3/4

Answers

Answer:

I think the answer is 45/4 i'm so sorry if the answer is wrong

Step-by-step explanation:

Answer:

11 1/4

Step-by-step explanation:

eight children share two pies equally. how many pies will each child get?

Answers

Answer:

Each child will get 1/4 of a pie

Step-by-step explanation:

The length of a rectangle is 2 less than two times the width. Perimeter is 42. Find the length and the width.

Answers

Answer:

Hi there

Your answer is

width= 5.75

length= 9.5

Step-by-step explanation:

L=2w-2

P=42

Perimeter formula

L+L+W+W=P

(2w-2)+(2w-2)+w+w=42

8w-4=42

+4

8w=46

/8

w= 5.75

Plug in width in length formula!

L=2w-2

L=2(5.75)-2

L=9.5

Quick I need help.....

Answers

the third one x>_ -4

Answer:

C

Step-by-step explanation:

Subtract both sides by 2

2-2 is 0

-10 - 2 is 12

-3x < 12

Divide both sides by -3

Switch signs cause dividing a negative

x > -4

At football practice, the water jug was filled 18 litters 530 milliliters of water. At the end of practice there 795 milliliters left. How much water did the team drink?

Answers

Answer:

17 L 735 mL or 17,735 mL

Step-by-step explanation:

18,530 - 795 = 17 L 735 mL

What is the factored form of t^6-p^3

Answers

Answer:

-(p - t^2) (p^2 + p t^2 + t^4)

Ada had $42 to spend on a binder and 11 spiral notebooks. The binder cost $9 what was the price of each spiral notebook?

Answers

the price for each one was 3 dollars :)
9 + 11x = 42
subtract 9 from each side
11x = 33
divide by 11
x = 3
$3.00 each. $42-$9= $33 remaining 33/11=3

Jack and Jillian sell apples at a produce stand. Jillian earns $2 for each bag of apples she sells. At the end of the week, Jack has earned $8 less than Jillian. The following expression shows Jack's earnings:

2x − 8

In the expression, what does the first term represent?

Answers

Answer:

2(x-4)

Step-by-step explanation:

it's the only thing i could think of, or its one

Answer:

Jillian's earnings at the end of the week

select the correct answer from each drop-down menu.

The decibel level of a normal conversation, which has an intensity of 3.2x10-6 watts/m2, is (ANSWER1) dB. If the decibel level goes up to

80, the intensity of the sound will be

(ANSWER2) watts/m2

B = 10103(t.), where is the sound level in decibels, is the intensity of sound you are measuring, and I is the

Use the formula

smallest sound intensity that can be heard by the human ear (roughly equal to 1x10-12 watts/m2).

Answers

Answer:

The intensity of sound in decibel is 65 dB

The intensity of sound in Watts/m² is 1 x 10⁻⁴ W/m²

Step-by-step explanation:

The intensity of sound in decibel is given by;

[tex]\beta (dB) = 10Log(\frac{I}{I_o})\\\\[/tex]

where;

I₀ is the smallest sound intensity that can be heard by the human ear = 1 x 10⁻¹² watts/m²

[tex]\beta (dB) = 10Log(\frac{I}{I_o})\\\\\beta (dB) = 10Log(\frac{3.2*10^{-6}}{1*10^{-12}})\\\\\beta (dB) = 65.05 \ dB[/tex]

= 65 dB

If the decibel level goes up to 80 dB, the intensity in W/m² is given by;

[tex]\beta (dB) = 10Log(\frac{I}{I_o} )\\\\80 = 10Log(\frac{I}{I_o} )\\\\8 =Log (\frac{I}{I_o} )\\\\10^8 = \frac{I}{I_o} \\\\I = I_o *10^8\\\\I = 1*10^{-12}*10^8\\\\I = 1*10^{-4} \ W/m^2[/tex]

The two lines intersected by the transversal are parallel. If m/1 =(8x) and m/2= (10x - 18) what is the value of x?
A.1
B.9
C.11
D.6

Answers

Answer:

x = 9

Step-by-step explanation:

Given:

m<1 = 8x

m<2 = (10x - 18)

Required:

Value of x

Solution:

<1 and <2 are alternate exterior angles. Alternate exterior angles are congruent. Therefore:

m<1 = m<2

8x = 10x - 18 (substitution)

Solve for x

8x - 10x = -18

-2x = -18

-2x/-2 = -18/-2

x = 9

what if f(0)?
12 only
2 and 3 only
-2,-1,1 and 2 only
-2,-1,1,2 and 12

Answers

Answer:

12 only

Step-by-step explanation:

I did the test

Factor Completely 3x2-7x+2 and please show work !!

Answers

Answer:

8-7x

Step-by-step explanation:

3x2-7x+2

6-7x+2

8-7x

Help I need it I plz

Answers

Answer:

A. 1.25

Step-by-step explanation:

Nine friends vote on their favorite fruit. Only one person in the group votes for kiwi.
Choose the decimal that is equivalent to this fraction.
A. 0.1
B. 0.11
C. 0.111111…
D. 0.212121…

Answers

Answer:

i think it would be A

Step-by-step explanation:

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