Using the Incenter P, find the measure of ∠ZPX.




117°

140°

64°

129°

42°

132°

Using The Incenter P, Find The Measure Of ZPX.1171406412942132

Answers

Answer 1

Answer:

The measure of ∠ZPX is 63°

Step-by-step explanation:

The given parameters are;

The incenter of the triangle = P

m∠KXP = 31°, m∠PYJ = 27°, [tex]\overline {ZP}[/tex] = 20 feet

Given that the segment [tex]\overline {XJ}[/tex] from the vertex, X, passes through the incenter of the triangle, we have;

The segment [tex]\overline {XJ}[/tex] bisects ∠KXL to form ∠KXP and ∠LXP

Therefore, ∠KXP = ∠LXP = 31°

∠KXL = ∠KXP + ∠LXP = 31° + 31° = 62°

∠KXL = 62°

Similarly;

The segment [tex]\overline {YL}[/tex] bisects ∠KYJ to form ∠PYJ and ∠PYK

Therefore, ∠PYJ = ∠PYK = 27°

∠KYJ = ∠PYJ  + ∠PYK = 27° + 27° = 54°

∠KYJ = 54°

In ΔXYZ, we have, ∠LZJ + ∠KYJ + ∠KXL = 180° based on the sum of the interior angles of a triangle postulate

∴ ∠LZJ = 180° - (∠KYJ + ∠KXL) = 180° - (54° + 62°) = 64°

∠LZJ = 64°

The segment [tex]\overline {ZK}[/tex] bisects ∠LZJ to form ∠PZL and ∠PZJ

Therefore, ∠PZL = ∠PZJ

∠LZJ = ∠PZL + ∠PZJ = 2 × ∠PZL = 64°

∠PZL = 64°/2 = 32° = ∠PZJ

In ΔZPX, we have;

∠PZL + ∠LXP + ∠ZPX = 180° based on the sum of the interior angles of a triangle postulate

∠ZPX = 180° - (∠PZL + ∠LXP) = 180° - (32° + 31°) = 63°

∠ZPX = 63°

The measure of ∠ZPX = 63°


Related Questions

Which function translates each point on the graph of y=mx+b so that the slope of the segment from the original point to the translated point is 4/3?

g(x)=m(x+3)+b+4

s(x)=4/3x+b

t(x)=m(x−3)+b+4

h(x)=4/3mx+b

Answers

G over 3 , put 2 so we would come out too 5x time squared

Function transformation involves changing the position of a function

The new function is:[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex]

The function is given as:

[tex]\mathbf{y = mx +b}[/tex]

The ratio of the slopes of both segments is given as:

[tex]\mathbf{Ratio = \frac 43}[/tex]

Let the slope of the new segment be m2.

The slope of [tex]\mathbf{y = mx +b}[/tex] is m.

So, we have:

[tex]\mathbf{m_2 : m = \frac 43}[/tex]

Express as fractions

[tex]\mathbf{\frac{m_2 } m = \frac 43}[/tex]

Multiply both sides by m

[tex]\mathbf{m_2 = \frac 43m}[/tex]

From the list of given options,

[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex] has a slope of [tex]\mathbf{m_2 = \frac 43m}[/tex]

Hence, the required function is:[tex]\mathbf{h(x) = \frac 43 mx + b}[/tex]

Read more about function transformations at:

https://brainly.com/question/13810353

at a school the number of boys: number of girls = 11 : 9
there are 124 more boys than girls

work out the total number of students at the school

Answers

b = boys

g = girls

[tex]b:g=11:9, b=g+124[/tex]

[tex]b=11g/9[/tex]

Insert in the second equation

[tex]11g/9=g+124[/tex]

Solve for g

[tex]11g=9g+124\cdot9[/tex]

[tex]2g=124\cdot9\implies g=62\cdot9=\boxed{558}[/tex]

Solve for b

[tex]b=g+124=\boxed{682}[/tex]

Hope this helps.

help me PLEASE I’m begging!!! ( question on photo

Answers

4.05
step by step explanation

Answer:

4.050 cm

Step-by-step explanation:

Multiply 2.25 and 1.8, make sure to add the decimal point!


[tex] \sqrt[4]{(132) \div (143)} - 2[/tex]
simplify plz fast​

Answers

Answer:

Step-by-step explanation:

Answer:

fourth root of 12*13^3          

-------------------------------- - 2

                13

Step-by-step explanation:

First focus on the 132/143 expression inside the 4th root function.

132/143 = 12/13

and so we have:

fourth root of 12/13 - 2

We must rationalize the denominator of the expression shown above.  In other words, 12/13 must be rewritten so that the denominator is the fourth power of 13.  To do this, multiply that 12 by 13^3 and that 13 by 13^3:

                        12*13^3                          

fourth root of { --------------  }

                           13^3*13

This simplifies to:

                                         

fourth root of 12*13^3          

--------------------------------

                13

To obtain the final answer, subtract 2 as shown in the original problem:

fourth root of 12*13^3          

-------------------------------- - 2

                13

Yeah I’m done with Brainly, they getting rid of my account now, have these points

Answers

Answer:

oh no! why

Step-by-step explanation:

can i have brainliest

also ty!

Answer:

you should talk to the moderator

Step-by-step explanation:

6th grade math plz help?
Suppose an artist is working on a painting. On Monday, he painted 1/2 of it. On Tuesday, he completed another 1/3 of the painting. What percent of the painting has yet to be done? Round your answer to the nearest whole percent.

Answers

Answer:

about 83%

Why:

1/3 + 1/2 = 0.83333333333

0.83333333333 as a percentage is 83.333333333%

Answer:

17%

Step-by-step explanation:

He completed 1/2 plus 1/3 of the painting.

The total he completed is

1/2 + 1/3 = 3/6 + 2/6 = 5/6

He needs to to 1 - 5/6 = 6/6 - 5/6 = 1/6 of the painting.

100% is the whole. He needs to do 1/6 of 100%.

1/6 * 100% = 100%/6 = 16.666...%

Answer: 17%

(Please help!!) Arnold is paid a graduated commission on sales. He earns 7% on sales up to $10,000 and 10% on sales over that amount. His goal is to make $2,500 next month. How much will he need to sell?

Answers

Answer:

Step-by-step explanation:

10000*7%= $700.00

2500-700=1800

1800 is 10% of 18,000

So 18,000 +10,000 = 28,000 in sales is needed to get $2,500 in commission.

Help me now plz it do in 30 min

Answers

Answer:

For the first row, write 5(0)-1 = 0-1. y is equal to -1.

For the second row, write 5(1)-1 = 5-1. y is equal to 4.

For the third row, write 5(2)-1 = 10-1. y is equal to 9.

For the fourth row, w rite 5(3)-1 = 15-1. y is equal to 14.

Step-by-step explanation:

Hope this helps!

What is the value of (–4) with an exponent of -3

Answers

Answer:

-64

Step-by-step explanation:

Because an exponent is basically a number repeated multiple times. So -4 x -4 x -4 would equal -64.

please may you help me quick timeee

Answers

Answer:

Step-by-step explanation:

tan e = x/(4x-1)

tan f = (6x+5)/(12x + 31)

since tan e = tan f

x/(4x-1) = (6x+5)/(12x+31)

x(12x+31) = (4x-1)(6x+5)

12x^2 +31x = 24x^2 +20x -6x -5

31x = 12x^2 +14x -5

0 = 12x^2 -17x -5

0 = (12x -5)(x -1)

x = 1, 5/12

What is the value of x that makes the statement true?

9x - 22 = 11x - 54

x =

Answers

Answer:

Step-by-step explanation:

9x-22=11x-54  take 9x from each side

-22=2x-54  add 54 to each side

32=2x  divide by 2

16=x

HELP NEEDED HELP! I SUCK at these

Answers

Answer:3:9

Step-by-step explanation: in this problem, it means "pears to apples". The "to" refers to the : . You put the amount of pears (3), then the "to" (:) then the amount of apples (9) to get your answer of 3:9. You can use this to help with other problems like this :D

the answer is 1:3. it would be 3:9 but u can simplify that to 1:3

x is directly proportional with y. Write an equation that shows the relationship if x=10 and y=4.

Answers

Answer:

x=3

Step-by-step explanation:

y

=

3

x

Explanation:

Direct proportionality is defined as:

y

=

α

x

where

α

is some constant that defines the proportionality.

Given

x

=

2

and

y

=

6

, we find:

y

=

α

x

6

=

α

(

2

)

3

=

α

So the relationship here is

y

=

3

x

write your answer as a fraction or as a whole or mixed number 4 4/5 times 2 1/5​

Answers

Answer:

It would be 10 14/25

Step-by-step explanation:

You could use a calculator for this, but that’d be cheating so let me explain.

We make both of our fractions improper first

4 4/5 = 24/5

2 1/5 = 11/5

We won’t need to change the “bottom number“ since they’re already the same, so let’s multiply them now.

24 x 11 = 264

————

5 x 5 = 24

Ten 24s can fit into 264 so our final number is

10 14/25

Y=6x+21
-x+3y=12

Find x and y please

Answers

for first one
Y=6x+21 can’t be changed
X=y/6-7/2
for the second
X=-12+3y
Y=4+x/3

answer correctly please !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

sanaol matalino

Step-by-step explanation:

kase dehins matalino

PAN is a right angle.

Two angles in a linear pair have a sum of 180 degrees. Since PAN and NAS have the same measure, divide 180 by 2. You would get 90 degrees, thus both angles are right angles.

solve an equation x/17= -4

Answers

Answer:

-68

Step-by-step explanation:

X/17=-4

X=-68

So the answer is -68

The total number of students who could attend a field trip is represented by the variable t. The number of students in Group A is less than the number in Group B. Group A has 6 students more than 1 4 the total number of students, while Group B has 3 less than the total number of students. Which inequality represents this situation?

Answers

Answer:

Let's define:

A = # of students in group A

B = # of students in group B

C = # of students in group C.

"The total number of students who could attend a field trip is represented by the variable t."

This can be written as:

A + B + C = t.

"The number of students in Group A is less than the number in Group B."

Here we have a strictly "less than", then this is written as:

A < B.

"Group A has 6 students more than 1/4 the total number of students"

A = t/4 + 6

"Group B has 3 less than the total number of students"

B = t - 3.

Then we have the equations:

A + B + C = t.

A = t/4 + 6

B = t - 3.

A < B.

We could replace the second and third equatio in the fourth one, to get:

t/4 + 6 < t - 3.

t/4 + 9 < t

9 < t - t/4

9 < t*(4/4 - 1/4)

9 < t*(3/4)

(4/3)*9 < t

12 < t.

Then we found an inequality that defines the minimum possible value of t,

Convert 5 2/7 to 7ths
(there’s the image if you’re confused.)

Answers

Answer:

37/7

Step-by-step explanation:

to get 37-

7x5+2, then you get 37! you then put that over the denpminator, if you're confused look at the pic

An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale. Let A be the amount of the sale in dollars and C be the charge of the online auction. Explain whether the solutions A=−5 and C=1.1 are viable. (1 point)

A. The solutions are viable because the amount charged is positive.

B .The solutions are not viable because the amount of the sale cannot be negative.

C. The solutions are viable because the amount of the sale is an integer.

D. The solutions are not viable because the amount charged is not a whole number.

Answers

Answer:

B .The solutions are not viable because the amount of the sale cannot be negative.

Step-by-step explanation:

In this scenario, the calculations would make sense since the online auction charges a flat fee of $1.20 plus 2% of the amount of the sale. Since the sale is said to be -5 the 2% would be -0.1 therefore, making the total charge $1.1 which is what is given in the question. Unfortunately, -5 is not a viable value for the sale because if a sale is made it means that money was paid to the seller and that would only be a positive integer not a negative one. Thus, making this solution not viable.

Please help
D») 5. Carlos opens a savings account with a deposit of $1,000. The account earns
interest at a rate of 2% per year. Let A(1) denote the amount of money (in
dollars) that is in the account tyears after the account is opened. The
equation below displays the relationship between A(t) and t.

A(1) = 1,000 + 20+

Carlos will not close his account before $1,500 is present. Which of the
following intervals contains all the possible number of years after opening his
account that Carlos could close it?

Answers

Step-by-step explanation:

a is the correct not sure though

Answer:Carlos will not close his account before $1,500 is present. Which of the

following intervals contains all the possible number of years after opening his

account that Carlos could close it?

Step-by-step explanation:

How do you write 352 in expanded form

Answers

Answer:

300+ 50 + 2

Step-by-step explanation:

If you add 300+50+2 you get 352 all you need to do is break down the number to pieces! :)

Answer: 300 + 50 + 2

Explanation:

The number 352 has 3 in the hundreds place, 5 in the tens place, and 2 in the ones place.

So that's why 352 = 300 + 50 + 2

Solve this equation

2/3x−1/5x=x−1

Answers

Answer:

x=15/8

Step-by-step explanation:

Given: 2/3x-1/5x=x-1

Determine LCD: 10/15x-3/15x=x-1

Combine like terms: 7/15x=x-1

Get x on one side only: -8/15x=-1

Divide the coefficient on both sides: x=15/8

X=15/8 is the answer

please answer this question as fast as possible​

Answers

Answer:

25kg

Step-by-step explanation:

x = 100%

x = 140kg

x1 = 100% - 35% = 65%

x1 = 140kg × 0.65 = 91kg

x2 = 91kg - 26kg = 65kg

x3 = 65kg × 2/5 = 130kg/5 = 25kg

1.maria’s age is five less than four times the age X of her son.Express Maria’s age as an algebraic expression

2.the length of a rectangle is three times the sum of five and its width X.express the perimeter as an algebraic expression

Answers

Answer:

1. m = 4x - 5

2. R = 3(5 + x)

Step-by-step explanation:

let x represent the age(X)

let M represent Maria's age(M)

m = 4x - 5

2.

Let R represent the length of a rectangle (R)

Let X represent it's width (X)

R = 3(5 + x)

1. Kyle is using elimination to solve the system
below and will first add the equations together,
4x - 2y = 18
-3x + 2y = -11
Which of the following shows the sum of the
two equations?
a. 7X = 29
b. X=7
c. 7x = 7
d. X = -7

Answers

I think it’s D but I am not sure

What is the next number after 2?

Answers

!2 + 1 = 3!

so 3! :)

Answer:

1,2,3,4,5,6,7,8,9,10

Step-by-step explanation:

;) :)

5)Write an algebraic equation for each statement, and then SOLVE for x
The sum of a number and six is fourteen. __________________________
The quotient of fifteen and a number equals three. __________________________
The product of seven and a number equals fifty-six. __________________________
The difference between the square of a number four is twelve. __________________________
One quarter of a number is ten. __________________________
Three times a number decreased by nine equals eighteen. __________________________
Ten less than half a number equals fourteen. __________________________
A number divided by eight is nine. __________________________
The product of double a number and three equals twenty-four. __________________________
The product of twenty and a number equals one hundred and forty.

Answers

Answer:

Step-by-step explanation:

1. x+6=14

  14-6=8

  x=8

2. 15/x=3

   15/3=x

   x=5

3. 7*x=56

   56/7=8

   x=8

4. x^2-4=12

  x=4, x=-4

5. 1/4x=10

  x/4 = 10

  x = 40

6. 3x-9=18

    x=9

7. 1/2x-10=14

   x/2-10=14

   x=48

8.x/8=9

   8*9=72

  x=72

9.2x+3=24

   2x=21

 x=21/2

10.20*x=140

   140/20=7

   x=7

A percent is a blank of proportionality describing the blank of the blank please answer fast

Answers

Answer:

Constant

part

whole

Step-by-step explanation:

From the question, we want to fill in the gaps with the correct vocabulary

The correct wordings in this question is that;

A percent is a constant of proportionality describing the part of the whole

What we are trying to learn here is that a percentage of something is just a value that represents how big that particular value is to the entire whole value

–1.0 ? |–4.4| Is it. Greater than. Less than or equal to

Answers

Answer:

Less Than

Step-by-step explanation:

Answer:

-1.0 is greater than -4.4

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