Triangle XYZ is reflected across the y-axis to create triangle PQR (not shown).
What is the measure, in degrees, of angle R

Answers

Answer 1

Answer:

The measure of ∠R = 60°

Step-by-step explanation:

The given parameters are;

Triangle XYZ is reflected across the y-axis to create triangle PQR

The measure of ∠Y = 30°

Triangle XYZ = A right triangle

The measure of ∠X = 90°

Where we have;

The image of the preimage of vertex X = P

The image of the preimage of vertex Y = Q

The image of the preimage of vertex Z = R

Therefore, given that a reflection is a rigid transformation, we have;

The measure of ∠X = The measure of ∠P

The measure of ∠Y = The measure of ∠Q

The measure of ∠Z = The measure of ∠R

Given that the measure of ∠Y = 30° and the measure of ∠X = 90°

∠X +∠Y + ∠Z = 180° (angle summation of a triangle property

∴ The measure of ∠Z = 180° - (∠X + ∠Y)  = 180° - (90° + 30°) = 60°

Therefore;

The measure of ∠Z = 60° = The measure of ∠R

The measure of ∠R = 60°.


Related Questions

I really need the answers or im dead​

Answers

Answer:

graph it and all of the #s will be negitive

Step-by-step explanation:

Answer:

W: (1, 4)

X: (4, 4)

Y: (6, 2)

Z: (5, 1)

Step-by-step explanation:

Rule for rotaion 270° counterclockwise (90° clockwise): (x, y) ⇒ (y, -x)

J: (-4, 1) ⇒ W: (1, 4)

K: (-4, 4) ⇒X: (4, 4)

L: (-2, 6) ⇒ Y: (6, 2)

M: (-1, 5) ⇒ Z: (5, 1)

If a student is on the basketball team, then he has practice after school. If there is practice after school, then the student needs to find a ride home other than the bus. Jamal is on the basketball team.

A. Jamal does not have practice after school.
B. Jamal needs to find a ride home other than the bus.
C. Jamal can ride the bus home.
D. no conclusion

Answers

Answer:

B. Jamal needs to find a ride home other than the bus.

Step-by-step explanation:

This conclusion can be made from the prompt.

Hope this helps!

HELP PLS (picture below)

Answers

The answer is C
5.26x10^3 = 5,260

C

Because it will equal 5,260 but all the other are bigger

two in 1 more points​

Answers

Answer:

Your photo wont show up

Step-by-step explanation:

Answer:

Hello

1.  B. 2.35 * 10^11

2. A. 3 * 10^-2

A store sells 2 printers for every 5 computers the store sells 40 computers how many printers dose the store sell

Answers

It’s 16 cause 8x2=16

How do you solve 26 = 18v Equation

Answers

Answer:

v = 1.444

Step-by-step explanation:

v = 26/18

v = 1.444

Answer:

26 = 18v

=> 26 / 18 = v (By the law of transposition)

=> 13/9 = v

=> 1.44444 repeating = v (After solving)

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Write the domain and range of the function as an inequality

Answers

Answer: Choice C

Domain = [tex]-\infty < x < +\infty[/tex]

Range = [tex]y \le -4[/tex]

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

Explanation:

The arrows on the graph indicate it goes on forever in both left and right directions. So the domain is the set of all real numbers and as an inequality, we write [tex]-\infty < x < +\infty[/tex] which is the same as saying [tex]-\infty < x < \infty[/tex]

This says x is between negative infinity and positive infinity.

In set builder notation, we would say [tex]\{x | x \in \mathbb{R}\}[/tex] and in interval notation, we would write [tex](-\infty, \infty)[/tex]

As you can probably see, the domain is the set of all possible x inputs of a function.

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

The range is the set of all possible y outputs of a function.

The largest output is y = -4 which is where the vertex is located.

There is no smallest y value as the arrows point down, and the graph goes forever in that direction.

So we say the range is [tex]-\infty < y \le -4[/tex] which shortens to [tex]y \le -4[/tex]

The range in set builder notation is [tex]\{y | y \in \mathbb{R}, \ y \le -4\}[/tex]

The range in interval notation is [tex](-\infty, -4][/tex] The square bracket says to include the endpoint, while the parenthesis excludes the endpoint.

subtract from both sides -6- (8.4) =1.2x +8.4 - (8.4)​

Answers

Answer: -6- (8.4) =1.2x +8.4 - (8.4)​

X = - 12

tia has 53 balloons equally among 4 kids how many balloons will be left over

Answers

Answer:

There will be 1 balloon left over.

Step-by-step explanation:

Each kid will be able to get 13 balloons, and 4 times 13 is 52, so 1 balloon will be left.

Answer:

1

Step-by-step explanation:

Because 4 times 13 = 52

4 times 13.25 = 53

Each kid will get 13, but

in return, you will get 1 of your balloon's left.

Hope this helps! <3

Lea wrote a number riddle. Her clues were: 9 is 10 times the value of the 9 in 329,513 2 is 110 the value of the 2 in 7,562 6 is 110 the value of the 6 in 4.68 Which number is an answer to Lea's riddle? 19,426 95,826 341,950.26 498,173.26 I need help solving this question can someone plz help me

Answers

Answer: 498,173.26.

Step-by-step explanation:

Place value of the 9 in 329,513 = 9,000

9 is 10 times the value of the 9 in 329,513.

Then, place value of 9 in required number = 10x 9,000 = 90,000

from options only  95,826 and 498,173.26 has 9 at ten thousands place. (cancel all other options)

Also,  2 is [tex]\dfrac1{10}[/tex] the value of the 2 in 7,562.

place value of 2 in required number =[tex]\dfrac1{10}\times2=0.2[/tex]

i.e. place value of 2 in required number 2 tenths

which is in  498,173.26   [place value of 6 is  [tex]\dfrac1{10}[/tex] the value of the 6 in 4.68]

Hence, th required number is 498,173.26.

A blouse that is size x in country A is size​ s(x) in country​ B, where ​s(x)x. A blouse that is size x in the country B is size​ t(x) in country​ C, where ​t(x)x. Find a function​ f(x) that will convert blouse sizes in country A to blouse sizes in country C.

Answers

Answer:

f(x) = [k(x): x = s(x) = t(x)]

Step-by-step explanation:

To make the question clearer, rewrite;

A blouse that is size x in country A is size s(x) in country B.

s(x) = x

A blouse that is size x in country B is size t(x) in country C.

t(x) = x

Find a function f(x) that will convert blouse sizes in country A to blouse sizes in country C.

f(x) = [k(x): x = s(x) = t(x)]

Interpretation:

f of x is equal to k of x such that x is equal to s of x which is also equal to t of x.

Where the other blouse sizes are represented by k(x) or as a function of the given size x.

Help asap!!
Jenny predicted that she would sell 12 bracelets, but she actually sold 16 bracelets. Which expression would find the percent error? Use the table below to help answer the question.


Percent Error


Item

Approximate value

Exact value

Error

Absolute error

Ratio

Percent error

Bracelets

12

16

–4

4


-4/12(100)

-4/12

4/16

4/16(100)

Answers

4/16(100)

Step-by-step explanation:

Answer:

4/16(100)

Step-by-step explanation:

Is this a function or no

Answers

Answer: Yes it is a function

Step-by-step explanation:

Answer:

YES

Step-by-step explanation:


The 12th term of the sequence is 16 the term to term rule is subtract 3.
Work out the 5th term of the sequence. *​

Answers

Answer:

a₅ = 37

Step-by-step explanation:

The term to term rule ' subtract 3 ' is the common difference d of an arithmetic sequence with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁₂ = 16, then

a₁ + 11d = 16 ← substitute d = - 3

a₁ + 11(- 3) = 16

a₁ - 33 = 16 ( add 33 to both sides )

a₁ = 49 , then

a₅ = 49 + (4 × - 3) = 49 - 12 = 37

In the expression 3x2y + 4x – 5x2y, are the terms 3x2y and –5x2y like terms? Explain by providing support for your answer.

Answers

Answer:

yes

Step-by-step explanation:

These are like terms because they  have the same variables and powers. The coefficients do not need to match for it to be considered a like term.

Answer:

Sample Response: Yes, they are like terms because like terms have the same variables raised to the same powers. Both terms contain an x and y variable with the x variable squared.

Step-by-step explanation:

1. Which set of numbers includes the square root of 42?

a) irrational number
b) integers
c) rational numbers
d) whole numbers

2. What is the name of this set?
{ … -3, -2, -1, 0, 1, 2 3, …}
a) real numbers
b) integers
c) rational numbers
d) whole numbers

3. Which set does not include negative numbers?
a) real numbers
b) integers
c) rational numbers
d) whole numbers

4. Which of these equals an integer?
a) 12 ¸ 5
b) -12 ¸ 5
c) -15 ¸ 4
d) -15 ¸ 5

5. Which of these is closest to 150?

a) 12.2
b) 12.4
c) 14.2
d) 15

Answers

Answer:

C,B,D,A,D

Step-by-step explanation:



Mr. Friedline is an incredible gardener. He has a
rectangular plot of land that he uses for his garden in his
backyard that measures 74.52 square feet. Recently,
animals have been getting into his garden, so he wants to
put up a fence around the garden. At the Home Depot, the
fence will cost $8.95 for each foot he needs. If the length
of the garden is 8.1 feet, how much will it cost Mr. Friedline
to put a fence around his garden?

Answers

Answer:

8.1 x 8.95 = 72.495

Step-by-step explanation:

Feet x $f = $$$

Carlos has saved $19.80. Shaq saved 5/6 of the amount that Carlos saved. Deontae saved 4 times as much as shaq. What is the total saved amount of all threw

Answers

102.30this is your answer to your question

Can someone help me create a slope story???

Answers

Answer:

I was walking home which I had to go up a hill I wanted to stop by the gas station which was a small hill upwords went back down that hill and the big hill to reach home.

Step-by-step explanation:

y axs = elavation

x axs = time

Hope that helped a little I need to do my hw but seen you needed help sorry if I did not help :(

1.) 9x + 2x - 5x + 7 - 6

Answers

Answer:

6x+1

Step-by-step explanation:

9x+2x-5x+7-6

11x-5x+7-6

6x+1

Awnser: 6x+1 :D

                                         

What you do is you split it in half so 9x plus 2x is 11x minus 5x is 6x. 7-6 is 1. Put them together and you get 6x+1

Give the place of the digit 1 in 296,518.4
296,518,417

Answers

Answer:

296,518.4 the one is in the tenths place sunce it's after the decimal

296,518,417 the first 1 in 518 is in the tenths place but the 2nd .. 1 is in the tens place bc no decimal


2. Lauren is thinking about spending all of her allowance money to buy a new bike. If she has $224
and she can only afford of the price of the bike, how much does the bike cost?

Answers

Answer:

$224

Step-by-step explanation:

The bike costs  $224

  From the expression of the problem, we know that she used all her money to buy the bike.

  That means;

      Allowance money  = bike cost

Therefore, the cost of the bike is  $224

What is the area of a circle with a diameter of 8 cm?

256 cm^2
64 cm^2
8 cm^2
16 cm^2

Answers

Answer is 50.24, but it is not given in the option

14 out of 22 students surveyed enjoyed playing baseball. If 308 students are surveyed, how many would you expect to say they enjoy playing baseball?

Answers

Answer:

124

Step-by-step explanation:

14 -22=8

8= the number of students that didn't like playing baseball

Somehow 8 = 800%

if you subtract 800%-308 it gives you -124

124 students don't like playing baseball

PLS HELP ILL MARK YOU BRAINEST DUE SOON

Answers

Answer:

A, B, C, D or simplify all of them

Step-by-step explanation:

Answer:

all 4 of them

Step-by-step explanation:

a. 29x + 92 = 29x - 11

   0x + 92 = -11

   0x ≠ -103

b. 29x + 11 =  29x - 11

   0x + 11 = -11

   0x = -22

   0 ≠ -22

c. 29x - 29 = 29x - 11

   0x = 18

   0 ≠ 18

d. 29x + 29 = 29x - 11

  0x + 29 = -11

  0x = -40

  0 ≠ 40

IF YOU CAN GET THIS YOU CAN GET SOME POINTS HURR BRAINLIEST IS WAITING!!!!!

My twin lives at the reverse of my house number. The difference between our house numbers ends in two. What are the lowest possible numbers of our house? MY HOUSE NUBER IS 19

Answers

Answer:

21 or 12

Step-by-step explanation:

Suppose, the number of one of the houses is “xy”, whose numerical value = (10x + y).

So, the number of the other house is “yx”, whose numerical value = (10y + x).

Let, “xy” > “yx”.

Now, difference of house numbers = {(10x + y) - (10y + x)} = {9 * (x - y)}; so the difference is a multiple of 9.

Now, the smallest positive number, divisible by 9, that ends with 2 is 72 = (9 * 8).

So, (x - y) = 8.

Since, 0 ≤ x, y ≤ 9; so, there are two solutions in hand:

I) x = 8, y = 0……………………..this makes the house numbers: “80” and “08”.

II) x = 9, y = 1…………………..this makes the house numbers: “91” and “19”.

So, the lowest possible numbers of the houses are “80” and “8” (not “91” and “19”).

A single digit number can not have its reverse number. hence 10,20,30,40,50,60,70,80 and 90 can not be the house number

Reverse of these numbers is same, hence 11,22,33,44,55,66,77,88 and 99 can not be the house number

For other reverse numbers the difference will be in multiples of 9 like 9,18,27,36,45,54,63,72,81

As the difference between house numbers ends in two, the lowest possible numbers of our house are 19 and 91

When 0 (zero) also considred as part of house number, the lowest possible numbers of our house are 08 and 80

· Yolanda deposited $3,547 into an account that earns 4.5%
simple annual interest. Calculate the interest Yolanda will earn
after 6 years. How much will Yolanda have in her account after 6
years?

Answers

Answer:

$4,504.69

Step-by-step explanation:

Which number is rational, an integer, and a real number?
A. 1.5
B.
C. There is no such nurnber.
D. -5

Answers

Answer:
1.5

Explanation:

PLS ANSWER THIS CORRECTLY AND GET 30 PTS AND BRAINLY

Answers

3.988906 cause look at it

Answer:

(-0,1)        

Really sorry if it's wrong! Have a good day!!

10 is 6% of what
number?

Answers

Answer:

60

Step-by-step explanation:

10 × 6 is 60. if it asks the % of a number, you multiply the number by %

Answer:

60

Step-by-step explanation:

hope this helps

Other Questions
write one paragraph about the things that make you stressed and how you deal with these things Sparky Corporation uses the weighted-average method of process costing. The following information is available for February in its Molding Department: Units: Beginning Inventory: 30,000 units, 100% complete as to materials and 55% complete as to conversion. Units started and completed: 120,000. Units completed and transferred out: 150,000. Ending Inventory: 32,500 units, 100% complete as to materials and 30% complete as to conversion. Costs: Costs in beginning Work in Process - Direct Materials: $48,000. Costs in beginning Work in Process - Conversion: $53,850. Costs incurred in February - Direct Materials: $328,050. Costs incurred in February - Conversion: $604,150. Required:Calculate the cost per equivalent unit of materials. Please help this is due today..Write an original piece developing an imagined or real experience/event using effective narrative techniques such as dialogue, pacing, relevant descriptive details, and reflection, in order to develop a plot and/or characters.Prompt: Suppose you had invented a time machine. Write a story about what you did with it.What is the lesson you want your readers to learn?What is the plot? what is the slope of this line? The Americans are named after Undefined slope, (0,-8) Explain Null Factor Law Jim was never late. Della held the watch chain in her hand andsat near the door where he always entered. Then she heard his step inthe hall and her face lost color for a moment. She often said little prayersquietly, about simple everyday things. And now she said: Please God,make him think Im still pretty.Jim stopped inside the door. He was as quiet as a hunting dog whenit is near a bird. 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Estimate the sale price of the 25 pointsbathing suit at 70% off regular price.$27.00$82.99$19.99 One solution to a quadratic equation is x= -5/3 What is true about any remaining solutions?There are two or more complex solutions.There is exactly one more real solution.There is exactly one complex solution.There are no complex solutions.There are no other real solutions.There are at least two more real solutions.thers more than one answer i believe but im completely lost PLEASE PLEASE HELP AND FASTMorrie completed the work to solve this problem. Is his work correct?Negative StartFraction 5 over 6 EndFraction minus (negative three-fourths) = Negative StartFraction 5 over 6 EndFraction minus three-fourths = Negative StartFraction 8 over 10 EndFraction = Negative four-fifthsWhat were Morries errors? 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