Given PHS=CNF find the value of x, y and Z

Given PHS=CNF Find The Value Of X, Y And Z

Answers

Answer 1

Answer/Step-by-step explanation:

Since ∆PHS ≅ ∆CNF, therefore:

<P ≅ <C,

<H ≅ <N

<S ≅ <F

Thus:

Since, <P ≅ <C, therefore,

36° = (4z - 32)°

36 = 4z - 32

Add 32 to both sides

36 + 32 = 4z

68 = 4z

Divide both sides by 4

68/4 = z

17 = z

z = 17

Since <H ≅ <N, therefore:

6x - 29 = 115°

Add 29 to both sides

6x = 115 + 29

6x = 144

Divide both sides by 6

x = 114/6

x = 24

m<F + m<C + m<N = 180° (sum of ∆)

(3y - 1) + (4z - 32) + 115 = 180 (substitution)

Plug in the value of z and solve for y

3y - 1 + 4(17) - 32 + 115 = 180

3y - 1 + 68 - 32 + 115 = 180

3y + 150 = 180

Subtract 150 from both sides

3y = 180 - 150

3y = 30

y = 10

Answer 2

The value of x, y and z are 24, 10 and 17 respectively.

PHS≅CNF

Therefore,

∠P ≅ ∠C

∠H ≅ ∠N

∠S ≅ ∠F

36 = 4z - 32

36 + 32 = 4z

4z = 68

z = 68 / 4

z = 17

6x - 29 = 115

6x = 115 + 29

x = 144 / 6

x = 24

3y - 1 = 180 - 115 - (4z - 32)

3y - 1 = 180 - 115 - 4z + 32

3y - 1 = 97 - 4(17)

3y - 1 = 29

3y = 30

y = 30 / 3

y = 10

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Related Questions

If every 1 in 20 plants will not bear fruit. If 200 plants are planted, how many will produce fruit?

Answers

10 of 200 will not so 190 will produce fruit

Answer:

Step-by-step explanation:

If 1 /20  will not bear fruit then

  19/20.  Will bear fruit

use ratio method

19/20  = x/200

find x by finding an equivalent fraction

x = 190

190 plants will produce fruit

A= 20 square root of 2
B= 5
C=20
D=10

Answers

A is the answer for sure

In Exercises 1-3, graph AABC and its image after a reflection in the given line.
1. A(0, 2), B(1, -3), C(2, 4); x-axis
1.
2. A(-2,-4), B(6,2), C(3. – 5); y-axis
3. A(4, -1), B(3, 8), C(-1, 1); y = -2

Answers

Answer:

1. Point A: (0, 2)

Point B: (-1, -3)

Point C: (-2, 4)

2. Point A: (-2, 4)

Point B: (6, -2)

Point C: (3, 5)

3. Point A: (4, -3)

Point B: (3, -12)

Point C: (-1, -5)

Step-by-step explanation:

1.

Reflection of point A:

Reflections over the x-axis are really easy. All you have to do is change the x-coordinate to the opposite sign.

In this case, 0 does not need to change since it already lies on the x-axis.

The coordinate for A will stay the same as (0, 2).

Reflection of point B:

Again, change the x-coordinate to negative.

1 → -1

The coordinate for B will now be (-1, -3).

Reflection of point C:

2 → -2

The coordinate for C will now be (-2, -4).

2.

Reflection of point A:

Reflections over the y-axis are also really easy. This time, all you have to do is change the y-coordinate to the opposite sign.

In this case, -4 would change to just 4.

The coordinate for A will stay the same as (2, 4).

Reflection of point B:

Again, change the y-coordinate to negative.

2 → -2

The coordinate for B will now be (6, -2).

Reflection of point C:

-5 → 5

The coordinate for C will now be (-1, 5).

3.

This is going to be a bit harder than the previous two, but I know you can handle it. :)

Reflection of point A:

The x will stay the same and only the y will change.

Take the y-coordinate and subtract it from the reflection line while getting the absolute value..

|(-1) - (-2)| = |1| = 1

This means, point A is one unit down the line y = -2

(-2) - 1 = -3

The coordinate for A will now be (4, -3).

Reflection of point B:

Again, the x will stay the same and only the y will change.

Using the absolute value, get the y-coordinate and subtract it from the reflection line again..

|(8) - (-2)| = |10| = 10

This means, point A is five unit down the line y = -2

(-2) - 10 = -17

The coordinate for B will now be (3, -12).

Reflection of point C:

I think you get the gist of it.

|(1) - (-2)| = |3| = 3

(-2) - 3 = -5

The coordinate for C will now be (-1, -5).

The red triangle is the original image and the blue triangle is the image after the reflection. The purple line is the reflection line.

Hope this helped!

The graph of  Exercises 1-3 that shows AABC and its image after a reflection in the given line can be done using the example from the graph attached.

What is reflection about?

A reflection over line is known to be a kind of  transformation where each point of the main or original figure (that is the pre-image) is said to be made up of an image that has similar distance from the reflection line.

Note that In a reflection, the image is said to be of similar size and also of the same shape as the original image.

Therefore to be able to construct the graph of  Exercises 1-3, one can use the image example by tracing the number values such as A(0, 2), B(1, -3), C(2, 4); x-axis, A(-2,-4), B(6,2), C(3. – 5); y-axis and  A(4, -1), B(3, 8), C(-1, 1); y = -2 on the graph and linking them up together to form an angle.

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Y'all what it 10/7 divided by 4

Answers

Answer:

.........

Step-by-step explanation:

10/7 x 1/4

10x1/7x4

10/7x4

10/28

5/14

Hope I helped

5/14 is your answer

Bryce had a $25 gift card to use on songs and games at an online media store. Songs cost $2 each and games cost $5 each. Bryce spent all the money on the gift card to download 8 items. Solve the system to determine how many games he purchased. Let s represent the number of songs and g represent the number of games. s + g = 8 2s + 5g = 25 Bryce purchased games.

Answers

Answer:

Bryce purchased 3 games.

Step-by-step explanation:

To find the number of songs and games that Bryce downloaded, we need to solve the following system of equations:

s + g = 8

2s + 5g = 25

We know that:

s + g = 8 → 2s + 2g = 16 → 2s = 16 -2g

2s + 5g = 25 → 16 - 2g + 5g = 25

→3g = 25 - 16

→3g = 9

→ g = 3

Therefore, bryce downloaded 3 games and 5 songs!

Answer:

.

3x + 2y = 16,

Step-by-step explanation:

The next two terms of the sequence 4,7,10,13 are...and ----

Answers

Answer is 16,19
Your welcome

Which must be larger log 15 Or In 15? And why

Answers

Answer:

ln 15 must be greater (larger than) if log 15 is common.

Step-by-step explanation:

log 15 [assumed to be a common logarithm]

‹–› 15 = 10 ^ log(15)

ln 15 [natural log which has a base of e] ‹–› 15 = e ^ ln(15).

10 > e

e ≈ 2.7218.

e is approximately 3 rounded to the nearest whole number.

Logically you would need to raise 3 to a greater power for 3ⁿ = 15. Than 10ⁿ = 15.

For example 3² < 10² → 3³ < 10³ → 3⁴ < 10⁴ → ... Thus 3ⁿ < 10ⁿ for n > 0.

whats the slope intercept form of
x_2y=-16​

Answers

Answer:

No idea

Step-by-step explanation:

if you mean 2y=-16 then Y=-8


You buy 6 items for $25,60. About how much did you spend?

Answers

Answer:

153.6

Step-by-step explanation:

Answer:

153.60

Step-by-step explanation:

6×25.60=153.60

A robot can complete 7 tasks in 2/5 hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?

Answers

7tasks takes the robot 6:5x2=1.2x2=2.4 which is 24min 24:7=3.4min. Which is 1task so roughly a robot can complete 60:3.4=18 in one hour

a) The robot take 2 / 35 hour to complete one task.

b) The robot complete 35/2 tasks in one hour.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Or, A number which is expressed as a quotient is called fraction.

It can be written as the form of p : q, which is equivalent to p / q.

Given that;

A robot can complete 7 tasks in 2/5 hour.

Each task takes the same amount of time.

Now,

Since, 7 tasks = 2/5 hour

So, 1 tasks = 2 / 5×7

                = 2 / 35 hour

Thus, The robot take 2 / 35 hour to complete one task.

And, 2/5 hour = 7 tasks

So, 1 hour = 7 x 5 / 2

               = 35 / 2

Thus, The robot complete 35/2 tasks in one hour.

Therefore,

a) The robot take 2 / 35 hour to complete one task.

b) The robot complete 35/2 tasks in one hour.

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Please help youll get brainliest

Answers

8h + 12h >144 is the answer have a great day
The guy on top of me said it

What is the percent increase when 7200 increases by 1800? 20 percent 25 percent

Answers

Answer:

7200+1800=9000

7200/1800= 72/18= 8/2= 4

100/4 = 25

HELP PLEASE:
What is the point-slope form of the line with slope 25 that passes through the point (−4, −7)?
y−7=2/5(x−4)
y+7=2/5(x+4)
y+4=2/5(x+7) ​
y−4=2/5(x−7)

Answers

Answer:

y + 7 = 2/5 (x + 4)

Step-by-step explanation:

(I hope 25 is 2/5)

The formula is y - y1 = m (x - x1), so you put the variables in to y1 and x1 plus add the slope in as m, and there you are! Point slope form. (you also have to flip the signs when putting them in, causing -4 and -7 to become 4 and 7)

Hope this helps!

Carol bought a coloring book. It is 11 inches long and 8 inches wide. What is the diagonal length of the book?

Answers

Answer:

13.6 inches

Step-by-step explanation:

We can use Pythagorean theorem: [tex]c=\sqrt{a^{2} +b^{2} }[/tex]

Let c be the diagonal length, a for length, and b for width.

Substitute the values.

[tex]c=\sqrt{11^{2}+8^{2} }[/tex]

c=13.6 inches

b. Were you able to find the solution(s) of each Mathematical sentence? How did
you find the solution(s) of each Mathematical sentence?

pls,,, help me mga tol​

Answers

Answer:

Evaluate each given numbers, expressions or equation.

Check the values or numbers.

Now in order to solve we proceed in the manner

Read the problem Analyze the problem Write the given variables Find the missing variables Write the equation Solve the equation

Heeelpppppppp fasttttttttttttt!!!!!!!!!!!!!!!!

Answers

Thinking it’s going to be c

guuys heeelppp asaaaaaap​

Answers

See the attachment.....

Answer:

-3/5

Step-by-step explanation:

see the details in the attachment.

10. If f(x) = { 2x-5 if x < 4
and f(x) {-2/3 x + 2 when x > 4 What is f(3)?
A.) 1
B.) 3
C.) -1
D.) 3
E.) None of these

Answers

B is the answer to this question

A party planner estimates a party will cost $200 plus $8 for each person attending. What is the y-intercept of the graph of the linear function representing the total cost of the party?

Answers

Answer:

The y intercept is 200

Step-by-step explanation:

Given

Base Cost = 200

Per person =8

Required

Determine the y intercept

First, we need to determine the equation.

The total amount (y) for x persons can be calculated using:

y = Base Cost + Amount per person * x.

This gives

y = 200 + 8 * x

y = 200 + 8x

The general expression of a linear equation is:

y = mx + b

Where b = y intercept

By comparison,

b = 200

Hence, the y intercept is 200

Evaluate this expression
(5+5)x(5+5)/5

Answers

Add (5+5) which gives you 10
Then add the other (5+5) that gets you 10
Multiply those two which gives you 100.
Then divide by 5 which leaves with 20.

The answer is 20.

If the x is a variable then the answer is (20x)

This is following the steps of PEMDAS

its 5=54                                            that is what i thsiknss

Vector Calculus

A particle of mass m move along the path σ(t)={t^2,sin t, cos t} Calculate the force acting on the particle t=0.

Answers

It seems like σ(t) is the positive function of the particle. Compute its acceleration by differentiating this function twice.

σ(t) = {t ², sin(t ), cos(t )}

σ'(t) = {2t, cos(t ), -sin(t )}

σ''(t) = {2, -sin(t ), -cos(t )}

When t = 0, the acceleration on the particle is

σ'' (0) = {2, -sin(0), -cos(0)} = {2, 0, -1}

Then the force acting on the particle at time t = 0 is

F = {2m, 0, -m}

by Newton's second law.

The APR on my credit card is 16.8%. What is the monthly interest rate?

Answers

To find the monthly interest rate, simply divide the APR by 12. I think the monthly interest rate is 1.4%

What percent of 78 is 16?

Answers

Answer:

78/16=

39/8=

19.5/4= 4.80805

16 is 20.51% of the number 78.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let x percent of 78 is 16.

So, x% of 78 = 16

x/100 (78)= 16

78x = 1600

x= 1600/78

x = 20.51%

Hence, 20.51 percent of 78 is 16.

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Solve for xxx.
Your answer must be simplified.
x/-6 ≥ -20

Answers

[tex] \mathsf{Hey \: there}[/tex]

[tex] \mathsf{\dfrac{x}{ - 6} \geq - 20}[/tex]

We can substitute the greater or equal to sign as a "equal" sign (for now)

[tex] \mathsf{\dfrac{x}{ - 6} = - 20}[/tex]

Multiply both of your sides by ⬇

[tex] \mathsf{ \dfrac{6}{-1}}[/tex]

Like

[tex] \frac{6}{-1} \times \frac{ -1}{6} \mathsf{x} = \frac{6}{-1} \times - 20[/tex]

[tex] \mathsf{Cancel \: out: \dfrac{6}{ -1} \times \dfrac{ - 1}{6} \: because \: it \: you \: 1 }[/tex]

[tex] \mathsf{Keep:{\dfrac{6}{-1} \times \: -20} \: because \: it \: helps \: solve \: for \: your \: equation}[/tex]

[tex] \mathsf{x = 120}[/tex]

We do the same for your equation but a tad bit different!

[tex] \boxed{ \mathsf{your \: answer: \boxed{ \mathsf{ \huge\bf{x \leq120}}}}} \checkmark[/tex]

- ITS AN OPENED CIRCLE SHADED TO THE LEFT GOOD LUCK ON YOUR ASSIGNMENT AND ENJOY YOUR DAY!

~

[tex] \dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

Answer:

hehe <120 i thinkkkkkkkkk

Step-by-step explanation:

Question 16 (1 point) (04.05 MC) The graph shows a journey in a car. Which of the statements most likely describes the start of the journey at the portion of the graph labeled I? (1 point) M M Distance (mi) N к Time (hr) a Ob The car travels the same distance per unit of time because the portion shows a linear, increasing function The car travels different distances per unit of time because the portion shows a linear, increasing function. The car travels the same distance per unit of time because the portion shows a nonlinear, increasing function Od The car travels different distances per unit of time because the portion shows a nonlinear, increasing function.​

Answers

Answer:

honestly i think it might be (C)

Step-by-step explanation:

If the radius of the circle is 7 cm, find its area, rounded to 2 decimal places.

A= _______ cm2

Answers

Answer:

153.94

Step-by-step explanation:

The formula for area is pi*radius^2

the radius is 7, so we do pi7^2 which is 49pi

49pi is 153.93804 which is 153.94 rounded to two decimal places

Max has 8 pennies.
Jen has 3 more pennies than max.
how many pennies do max and jen have in all

Answers

Answer:

19

Step-by-step explanation:

8+(8+3)

...........

1.) Seven friends are sharing three packs of Pokemon cards. How much of each pack will each friend get?​

Answers

Answer: Each friend will get 2 packs of Pokemon cards.

Answer:

2.33333333333

Step-by-step explanation:

7÷3=2.33333333333

Which answer choice correctly represents the quotient of 28,134 divided by 441?
Due on a few minutes
Whoever answers it correctly I will give brainliest

A) 63 351/441

B) 65 131/441

C) 65 129/441

D) 441 63/351

Answers

Answer:

b

Step-by-step explanation:

A zoo maintains a small patch of bamboo, which it grows as a food supply for its pandas. Four weeks ago, the bamboo was 10 ft 7 in tall. Since then, the bamboo has grown 5ft 12 in. How tall is the bamboo now ?
bamboo has grown 5 ft 12 in. How tall is the bamboo now?

Answers

Answer:

16 feet and 7 inches

Step-by-step explanation:

To find how tall the bamboo is now, first add the number of feet together:

10 + 5

= 15

Then, add the inches:

7 + 12

= 19

This can be converted to 1 foot and 7 inches.

Then, add 15 to this:

= 16 feet and 7 inches

So, the bamboo is now 16 feet and 7 inches tall

The current height of the bamboo is given as 16 feet 7 inches tall.

Given that,
A zoo maintains a small patch of bamboo, which it grows as a food supply for its pandas. Four weeks ago, the bamboo was 10 ft 7 in tall. Since then, the bamboo has grown 5ft 12 in.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
4 weeks ago the height of the bamboo = 10 ft 7 in
It increase by 5 ft 12 or 6 ft since then
Current height  = 10.7 + 6 = 16.7 or 16 ft 7 in

Thus, the current height of the bamboo is given as 16 feet 7 inches tall.

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