Help! Show work! Triangle PQR ≅ Triangle XYZ
PQ = 3a + 4 and XY = 5a – 12. Find a and PQ.

Answers

Answer 1

Answer:

a= 8 and PQ= 28

Step-by-step explanation:

since triangle XYZ and triangle PQR are congruent, we will write the equation like this:

PQ=XY

3a+4= 5a—12

3a—5a= —12—4

—2a= —16

a= 8

SUBSTITUTE THE VALUE OF A IN THE EQUATION TO GET THE VALUE OF PQ

PQ= 3a+4

PQ= 3(8)+4

PQ= 24+4

PQ= 28


Related Questions

The difference between 32.6 and a number is 10.2. Which equation can be used to solve this problem? 32.6 minus y = 10.2 y minus 36.2 = 10.2 10.2 minus y = 32.6 y + 32.6 = 10.2

Answers

Answer:

32.6 - y= 10.2

Step-by-step explanation:

The equation to solve this problem can be written as

32.6 - y= 10.2

Where y is the number that was substracted from 32.6.

If we make y subject of formula we have

y= (32.6-10.2)

y=22.4

Which means the number that was substracted from 32.6 is 22.4 and there difference is 10.2

Answer:

A. 32.6 - y= 10.2

Correct on Edge 2021

A production process produces an item. On average, 16% of all items produced are defective. Each item is inspected before being shipped, and the inspector misclassifies an item 13% of the time. Please round the final answers to 3 decimal places.
What proportion of the items will be "classified as good"?

P (classified as good)=


Answers

Answer:

10

Step-by-step explanation:

which is NOT a statistical question
A) What score did each of my classmates get on the math quiz ?
B) How many minutes did each of my friends spend on the computer today ?
C) How many points did the Tigers score in each of their games ?
D) How many plates are on the table ?

(P.S. thanks for your hard work :D)

Answers

Answer:

How many plates are on the table as it results in only one value with no variability

Step-by-step explanation:

D) How many plates are on the table? is not a statistical question because it does not involve the collection or analysis of numerical data.

What is Statistic?

A statistic is a piece of data derived from a subset of a population. It's the inverse of a parameter — census data, which polls everyone.

Statistics is a method of comprehending data collected about us and the world. For example, if you send a parcel through the mail, it is logged in a massive database.

How many plates are on the table? is not a statistical question because it does not involve the collection or analysis of numerical data.

A statistical question involves the collection and analysis of numerical data in order to make inferences or draw conclusions about a larger population.

The other questions (A, B and C) all involve the collection and analysis of numerical data and are therefore statistical questions.

Hence, the correct answer would be option (D).

Learn more about Statistics here:

brainly.com/question/23091366

#SPJ2

what is -2k + (-4k) + 5

Answers

if ur solving for k the answer is 6/5

If g(x) = x + x(tothepowerof2)?, find g(-3).
g(-3) =

Answers

Answer:

6

Step-by-step explanation:

g(x) = x + x²

g(-3) = -3 + (-3)² = -3 + 9 = 6

PLEASE HELP ME!!!!!!

Answers

Answer:

6 + x - y

Step-by-step explanation:

6 + x - y is a trinomial of degree 1.

read "nothing gold can stay" frost. which line indicates good time do not last forever

Answers

Answer: The line that indicates good times do not last forever is the last one " nothing gold can stay"

Step-by-step explanation:

According to the poem, nothing “gold”—essentially nothing pure, precious, or beautiful—can last forever.

i neeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeelllllllllllllllllppppppppppp
If 3x−y=12, what is the value of 8x/2y?

A) 212
B) 44
C) 82
D) The value cannot be determined from the information given.

Answers

Answer:

3x-12=y

which equals to

1/y=1/(3x-12)

Now,multiply both sides by x

x/y=x/(3x-12)

8x/2y=4x/y=4x/(3x-12)

Step-by-step explanation:

''.''

Which of the following points lie in the solution set to the following system of inequalities?
y>-3x+3
y>x+2

Answer choices
(2,-5)
(-2,5)
(2,5)
(-2,-5)​

Answers

Answer:

(2,5)

Step-by-step explanation:

i believe this is the answer because when you graph this equation, (2,5) lies in the equation

Isabel finished her history assignment in 1/5 hours. Then she completed her math assignment in 1/2 hours. What was the total amount of time Isabel spent doing these two assignments?

Write your answer as a fraction in simplest form.

Answers

Answer:70/100 or 7/10

Step-by-step explanation:

one hour is 60 mins

1/5 of an hour is 12 mins

1/2 of an hour is 30

30 + 12 = 42

42/60 simplified is 7/10

What are the coordinates of point H?

Answers

9514 1404 393

Answer:

  (-1 1/2, 3)

Step-by-step explanation:

Coordinates are written as an ordered pair. That means the position of the coordinate value in the pair has significance.

By convention, the first coordinate is the "x" coordinate. It is the number of units the point lies to the right of the x=0 point on the horizontal scale. Here, the point lies between 1 and 2 units left of 0, corresponding to an x-coordinate of -1 1/2. So far, we know the point coordinates are (-1 1/2, <something>).

At this point, you can check to see if this narrows down the answer choices. It does. The only available answer choice with a first coordinate of -1 1/2 is the correct one: (-1 1/2, 3).

__

The second coordinate in the ordered pair is the "y" coordinate. It is the number of units the point lies above the point y=0 on the vertical scale. Here, the point lies 3 units above the point y=0, corresponding to a y-coordinate of 3. Now, we know the coordinates of the point are (x, y) = (-1 1/2, 3).

_____

Additional comment

Ordered pairs of coordinates are not always x- and y- coordinates. Sometimes, they are elevation and azimuth, latitude and longitude, radius and angle. However, for the vast majority of work in Algebra, an ordered pair of coordinates refers to (x, y) coordinates on a Cartesian plane (one with grid lines running horizontally and vertically).

A soccer team paid $28 per uniform. They bought 16 uniforms. How much money did the team spend on uniforms?

Answers

Answer:

$448

Step-by-step explanation:

BRAINLEST TO WHOEVER


X= ?

Answers

Answer:

11.4

Step-by-step explanation:

15 divided by 5= 3 so ABC is 3 times bigger than EFD. you times 3.8 by 3 to get your answer. I hope this helps!!

is x supposed to be z in the dilated shape?

3 (n + 7) = __ + 21
Answer?

Answers

Answer:

3n

Step-by-step explanation:

We can see that the 3 gets distributed into the parentheses since there is a +21 on the right (3×7=21) so we also have to distribute the 3 to the n

Evaluate each expression

1-(-8)

Answers

1-(-8)
1+8 (add a line change the sign)
=9

help please i have an f!!

Answers

Answer:

1x=3y

-9x=-2y

Step-by-step explanation:

6x=-4y

17x=-2y

4y

17x=-2y

Anybody know the answer to this

Answers

X is 19.96588 (25sin(53)) and Y is 15.04537 (25sin(37))

Gail rode her bicycle 325 miles in 5 days.
How many
miles did she ride each day?

Answers

She Rode around 65 miles each day

1st Day = 65

2nd Day = 130

3rd Day = 195

4th Day = 260

5th Day = 325

Answer:

Our final answer is the average speed is 7 and 2/3 miles per hour

Step-by-step explanation:

We want to find the speed of Maria's bike (miles per hour). Realize that 3/4 of an hour is 45 minutes. So if we take the total miles (5 and 3/4 miles) and divide by 45 mins, we will get the total miles per min.

We can convert 5 and 3/4 miles to a single fraction -----> 5 and 3/4 = 5 +3/4 = 5/1 + 3/4 = 20/4 + 3/4 = 23/4

Now we take 23/4 and divide this number by 45. ( or multiply by 1/45). This answer is 23/180 and THIS NUMBER represents the total amount of MILES PER MIN. BUUUTT we want the total amount of MILES PER HOUR. What do we do?

We take the total miles per minute and multiply this answer (23/180) by 60 minutes [60 mins = 1 hour].

Thus (23/180)*60 = 1380/180 ----------> which is equal to 1260/180 + 120/180 = 7 + 2/3 = 7 and 2/3

Our final answer is the average speed is 7 and 2/3 miles per hour

What is the value of X in this equation?

Answers

Answer:x = 6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Subtract 4/3x from both sides.

Step 3: Subtract 9 from both sides.

Step 4: Divide both sides by -2.

Answer:

x=6

Step-by-step explanation:

-multiply both sides by 3

- subtract 4x

- subtract 27

- combine like terms

- divide by -6

Given the parent function f(x) = 8x + 9, rewrite the function after the following transformation: reflect over the x-axis. Group of answer choices g(x) = -8x + 9 g(x) = -8x - 9 g(x) = 8x - 9 g(x) = 8x + 9

Answers

Given:

The parent function is

[tex]f(x)=8x+9[/tex]

To find:

The function after the reflection over the x-axis.

Solution:

We know that, if a function f(x) reflected over x-axis to get the function g(x), then

[tex]g(x)=-f(x)[/tex]

Putting [tex]f(x)=8x+9[/tex], we get

[tex]g(x)=-(8x+9)[/tex]

[tex]g(x)=-8x-9[/tex]

The function after the reflection over the x-axis is [tex]g(x)=-8x-9[/tex].

Therefore, the correct option is B.

"Frank's favorite drink is coke, but the restaurant only has Pepsi." Simple or Compound sentence?

Answers

Answer:

Compound sentence

Step-by-step explanation:

A compound sentence is a group of words that consists of at least two independent clauses. The main difference between simple and compound sentences is that a simple sentence is composed of a single clause whereas a compound sentence is composed of two or more clauses. This means that it's a compound since "Frank's favorite drink is coke" is the first independent clause, and "but the restaurant only has Pepsi", is the second independent clause.

Hope it helped!

FIND THE slope given two points! pls help ill mark brain-list! (50 pts)
1. (-7-5) and (-2,7)
2. (-6,7) and (-7,8)
3. (1,1) and (4,13)
4. (-2,-6) and (-9,-6)
5. (-6,-5) and (15,2)
6. (2,1) and (4,3)
7. (2,1) and (4,-1)
8. (1,4) and (4,-2)
9. (1,0) and (-2,-2)
10. (1,1) and (1,9)
11. (-3,0) and (1, 1)
12. (-3, -3) and (1,-1)
13. (-1,2) and (0,-2)
14. (-2,-4) and (1,0)
15. (-3,-1) and (-1,3)
16. (-2, 0) and (3,-1)
17. (-4, -3) and (4,3)
18. (-1,4) and (2,3)

Answers

Answer:

1 is 3

2 is-4

3 undefined

4 is 0

5 undefined

6 1.25

7 1.5

8 5

9 -2

10 -4

11 6

12 undefined

13 0

14 -1

15 2

16 -9

17  4

18 5

Step-by-step explanation:

it was 55 degrees F outside until the temperature increased 20 degrees F. which number is the additive inverse of the temperature increase

Answers

Answer:

55-20

Step-by-step explanation:

A fighter pilot needs to make an emergency landing. He needs a clear space that is at least 600 m long to land safely. He is flying at an altitude of 300 m. He sees a small empty field. The angles of depression from the jet to the two ends of the field are 30° and 56° [5]
a) How long is the field?
b) Can he land safely?

Answers

(a) See the attached sketch. The jet makes a right triangle with the ground with hypotenuse y. Since the angle of depression is 56°, and the plane in which the jet is flying 300 m in the air is parallel with the ground, the angle of elevation in the right triangle is also 56°. Use the definition of sine to solve for y.

sin(56°) = (300 m)/y   →   y = (300 m)/sin(56°)

The uppermost angle in the blue triangle has measure equal to the difference between the two given angles of depression, 56° - 30° = 26°, and the rightmost angle is also 30° by the same reasoning as before. Then by the law of sines,

x/sin(26°) = y/sin(30°)   →   x = sin(26°)/sin(30°) y317.2627 m

(b) No, the field is not long enough.

True or false: Mitosis produces genetically identical cells

Answers

Answer:

Mitosis occurs in all body cells (somatic cells) except reproductive organs (meiosis). 1. Mitosis results in TWO genetically IDENTICAL cells.

Step-by-step explanation:

18)
The base of a triangle is 545 cm and the height is 388 cm. What is the area of the triangle? Recall: A-
8y133 cm?
12487 cm?
45\110 cm?
75y22 cm

Answers

Answer:

75y22cm

76c x 34 =876

Step-by-step explanation:

Which of the following is equal to g(x)?
A. 4(x+2)
B. 4x+2
C. 4(x-2)
D. 4x-2

Answers

Answer:

A.

Step-by-step explanation:

A is the correct answer

Find the surface area of this net

Answers

Answer:

SA: 231

Step-by-step explanation:

8(12) + 2(5(12)) + 5(3)

96 + 120 + 15 = 231

I hopoe I helped you ;)

Ms. Gregg spent $14 buying fruit
• Apples cost $2 per pound
• Bananas cost $1 per pound.
• What are some possible amounts of pounds of apples and
bananas that Ms. Gregg could have bought?

Answers

Answer:

Ms. Gregg could buy 4 apples and 6 bananas

Step-by-step explanation:

You can split the money and try to get even on each fruit by, getting 4 apples which would be 8 dollars on 4 apples then the extra money would be left over for the bananas which would be six dollars and since the bananas are only 1 dollar you can buy 6 with the leftover money.

Courtney got 64 out of 75 correct on a test. What is the best estimate of the percent Courtney got correct?

85%
75%
117%
64%

Answers

Answer:

A

Step-by-step explanation:

trust me

The required percentage that Cortney got correct on the test will be; 85.33%.

What is the percentage?

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

We have been given that Cortney got 64 out of 75 correct on a test.

We Need to determine the best estimate of the percentage Courtney got correct.

Here,

The Total question = 75

The correct question = 64

Then Percentage = 64 / 75 × 100

Percentage = 85.33%

Thus, the required percentage that Cortney got correct on the test will be; 85.33%.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ2

Other Questions
15 points! Middle School Physical Science. An apartment building that is 51 feet tall casts a 90 foot shadow. At the same time, a tree casts a shadow that is 48 feet long. How tall is the tree? Why might West Africa be the continents most populated region? please helpExplain how an organ and organelles are related Kramer earns $400 a week at the bookstore plus $3 for every magazine he sells. He uses the equation y = 3x + 400 to represent his earrings, where x represents magazine sales and y represents his weekly pay. If he needs to earn $490 next week to pay for his summer field trip, how many magazines does he need to sell? how do u mark brainlyest on the computer How do you turn 8x-4y=20 into slope intercept form?Please show me the steps In which area of the cell does the interaction between codon and anti codon occur? 1 Evaluate the expression. r3 - 2s if r = 5 and s = 4 All cabins on the Giant Ferris Wheel are numbered in order starting from the number 1. Jack came and sat in cabin 48. Jim skipped the next 15 cabins and sat in cabin 2. How many cabins are there What process can the House of Representatives initiate to remove from office a federal official involved in serious wrongdoing? Select the correct answer.Which group of words from the selection conveys the author's tone about his topic?A.alarming, dark, pessimistic B.valluring, complex, refreshingutC.creative, simplistic, optimisticD.critical, downtrodden, foreboding b) 7+2x/3 =5helppppp PLEASE I NEED HELP!!!!!!!!! WHAT IS THE SQUARE ROOT OF 100???!??!?!?!??! WILL MARK BRAINLIEST please help and please explain What is the theme of The Last Battle in Beowulf? (If you could provide an example from the story, use quotations, and page number, that would be most helpful) DJ Mykel is making a playlist for a radio show; he is trying to decide what 14 songs to play and in what order they should be played. Step 1 of 2 : If he has his choices narrowed down to 7 hip-hop, 5 jazz, 7 pop, and 8 blues songs, and he wants to play no more than 3 hip-hop songs, how many different playlists are possible could you help me with this PLZ ASAPA scientist is using a microscope to observe a type ofbacteria.Which two structures would the scientist most likely see?PLEASE EXPLAIN WHYA:nucleus and DNAB:DNA and cell wallC:cell wall and vacuoleD:vacuole and nucleus