Given:
RS ⊥ ST
RS ⊥ SQ
∠STR = ∠SQR

Prove:
△RST ≅ △RSQ

Given:RS STRS SQSTR = SQRProve:RST RSQ

Answers

Answer 1

Answer:

1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given

2.) RS≅RS | Reflexive Property

3.) △RST ≅ △RSQ | AAS Triangle Congruence Property

Step-by-step explanation:

Answer 2

The required fill-in-the-blank below as:

1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given

2.) RS≅RS | Reflexive Property

3.) △RST ≅ △RSQ | AAS Triangle Congruence Property

What are congruent triangles?

Two triangles are said to be congruent if their corresponding sides and angles are equal.

The given in question as:

RS ⊥ ST

RS ⊥ SQ

∠STR = ∠SQR

To prove:

△RST ≅ △RSQ

1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given

2.) RS≅RS | Reflexive Property

According to AAS, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.

3.) △RST ≅ △RSQ | AAS Triangle Congruence Property

Hence, △RST ≅ △RSQ

Thus, the required fill-in-the-blank above is in the solution.

Learn more about congruent triangles here:

brainly.com/question/4364353

#SPJ2


Related Questions

I need help for this question

Answers

Answer:

A scale factor of 4in to 5in should be used

Step-by-step explanation:

Given

[tex]Original\ Measurement = 4.5\ in[/tex]

[tex]Scale\ Measurement = 3.6\ in[/tex]

Required

Determine the scale to use

The scale to use can be represented as:

[tex]Scale = Scale\ Measurement : Original\ Measurement[/tex]

This gives:

[tex]Scale = 3.6\ in : 4.5\ in[/tex]

Divide by 0.9

[tex]Scale = \frac{3.6}{0.9}\ in : \frac{4.5}{0..9}\ in[/tex]

[tex]Scale = \frac{3.6}{0.9} : \frac{4.5}{0.9}[/tex]

[tex]Scale = 4 : 5[/tex]

HELP ME PLEASE IM DESPERATE

Answers

Answer:

the answer is below

Step-by-step explanation:

accidently made b to x

Please helppp meeeeeeeeeeeeeeeseseeedeeeeeee

Answers

Answer:

The solution x > 10 can be represented in two ways such as:

Interval Notation:        (10, ∞)Inequality Notation:     x > 10

Step-by-step explanation:

Let 'x' be the solution to the inequality

From the given line, it is clear that

x > 10

It means the value of x is greater than 10, which means the solution contains all the positive real numbers greater than 10.

From the number line, it is clear that the number line would include all the numbers on the right-hand side of the 10 number.

The number 10 is not included; thus the number line indicates an open circle on 10, meaning 10 is not include in the solution.

Thus, the solution x > 10 can be represented in two ways such as:

Interval Notation:        (10, ∞)Inequality Notation:     x > 10

The sum of 5 times a number and 3 is the same as the difference of the number and 9. Find the number

Answers

Answer:

let number be n

by question

(5n+3)=(n-9)

5n-n=-9-3

4n=-12

n=-12/4=-3

required no. is -3.

Brian glues together 4 wooden cubes as shown. Each cube has an edge of 5 centimeters. He covers the surface area of this new figure with metalic paper that is cut to size for each face

Answers

Answer:

5 x 5 per face x 18 faces = 450 cm

Step-by-step explanation:

6. How much more is (6.48 x 10^5) than (3.2 x 10^2​

Answers

Answer:

647680

Step-by-step explanation:

Answer:

Step-by-step explanation:

6.48x10^5 / 3.2 x 10^2=2.025  x 10^3

i divide 6.48/3.2

10^5/10^2=10^3

Can someone solve the joke please?

Why did the new boy steal a chair from the classroom?

Answers

Answer:

Because the teacher told him  to take a seat.

Answer:

Lol. Because the teacher told him to take a seat.

The area of a 12-cm-wide rectangle is 180cm. what is its length?

Answers

Answer:

15cm

Step-by-step explanation:

180/12=15

1 meter of electric cord costs $3. How much do u pay for 2/3.

Answers

Answer:

2 dollars.

Step-by-step explanation:

1 meter costs 3 dollars

2/3 meter costs 2/3 * 3

2/3 * 3 = 2

So you would pay 2 dollars for 2/3 of a meter.

please solve the logarithmic equation and show your work. log3(2x-5)=2

Answers

X=7
1- determine the defined rang=> log3(2x-5)=2,x>5/2
2-convert it into exponential form using (log'a'(x)=b is equal to x=a exponent b)=
2x-5=3 with exponet 2
3-evaluate = 2x-5=9
-> 2x=9+5
2x=14
X=7
Hope this helps!!

A piece of wire that is 28 inches long is cut into two pieces, each of which is then bent into the shape of a square. The larger square has side lengths that are three inches longer than the smaller square.

(a) If x is the side length of the smaller square and y is the side length of the larger square, write a system of equations that models this scenario.

(b) Solve the system of equations and determine the lengths of the two pieces of wire.

Answers

Answer:

1)

4(x+3)+4x=28

Solve

4x+12+4x=28

Combine

8x+12=28

Isolate

8x=16

Isolate

x=2

Substitute

4(2+3)=20

4*2=8

Now find each side

20/4=5

8/4=2

So one side is 5

Other side is 2

brainly and points :)

Answers

Answer:

Step-by-step explanation:

the volume of the cone=1/3 * 3.14*h*r^2= aprox 226 cubic inches

choice 3

Answer:

C

Step-by-step explanation:

I hope this helps you :)

h(n) = 3^n+3; Find h (3n)

Answers

Answer:

The option which you chose is absolutely right.

Step-by-step explanation:

h(n) = 3^ n + 3

h(3n) = 3 ^3n + 3

Hope it will help :)

Write an equation to model the problem containing an unknown number. Eight is the quotient of a number and five. This statement represents . The correct equation is .

Answers

Answer: This statement represents  →A Division prolem

The correct equation is →8=n÷5                                                                

                     

                  I Hop This Helped :)

Step-by-step explanation:

Answer:

Write an equation to model the problem containing an unknown number.

                                             Eight is the quotient of a number and five.

This statement represents:

✔ a division problem

.

The correct equation is:

✔ 8 = n ÷ 5

Correct on Edge nuity 2021

What is the decay factor of the exponential function
represented by the table?
O1/3
O2/3
O 2
O 6

Answers

Fact: It is not 6!

And I swear I am not lying!

Answer:

A. 1/3

as x increases the values of the function all become one-third of each other !!

6 is 1/3 of 18

2 is 1/3 of 6

2/3 is 1/3 of 2

How long does it take to travel 100km at a speed of 80 km/h?

Answers

speed = distance/time,
You can kind of tell that, because the units of speed is km/h ( or m/s, or miles/hour — depending on the situation).

Now if you apply your algebra skills, you might discover that

time = distance/speed

Plug in the data:
time = 100 km / (80 km/h)
After application of algebra skills again you can see that the units will simplify to simply h.
time = 1.25 h

WHAT IS O/O PLS ANSWER

Answers

Answer:

Its 0

Step-by-step explanation:ur not smart if u dont know that

Tabitha has a DVD rack which can hold 42 DVDS. She can fit 8 more DVDS on the rack before the rack is full. How many DVDS are on the rack?

Answers

Answer:

34

Step-by-step explanation:

42 dvds total but there is room for 8 more so

42 total size - 8 more can fit = 34 on the rack

i think im right unless i missunderstood the question

Answer:

34

                                             MARK BRAINLIEST

Please help 50 points if you can answer correctly

Answers

Answer:

A. -14. R.72. C.1. D.34

Step-by-step explanation:

I think that right

Please help I need it fast

Answers

Answer:

J

Step-by-step explanation:

-11=4(-3)+1

-3 =4(-1)+1

1 =4(0)+1

9 =4(2)+1

13=4(3)+1

21=4(5)+1

write 6.04x10^3 as an ordinary number

Answers

Answer:

6040

Step-by-step explanation:

You can find out in two different ways, either use scientific notation or a calculator. If you go 3 steps to the right (since it's a positive power) you will get 6040. Hope this helped. :)

Answer:

hmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

hmmmmmmmmmmmmmmmmmmmmm

pls help I literally don’t get this

Answers

I put in all doc!!! Lmk if u have questions

Every summer, Ronald makes cranberry-pear jam with the fruit he collects from his garden. Last summer, he used 3 cups of cranberries and 5 cups of pears to make his jam. This summer, Ronald decided to make an even larger batch using 5 cups of cranberries and 8 cups of pears. Which batch of jam tasted more like cranberries?

Answers

Answer:

The batch of jam from this summer

Step-by-step explanation:

Every summer, Ronald makes cranberry-pear jam with the fruit he collects from his garden.

For last summer

Last summer, he used 3 cups of cranberries and 5 cups of pears to make his jam.

Hence,

5 cup of pears = 3 cups of cranberries

1 cup of pears = x

Cross Multiply

5x = 3

x = 3/5

x = 0.6

1 cup of pears = 0.6 cup of cranberries

For this summer

This summer, Ronald decided to make an even larger batch using 5 cups of cranberries and 8 cups of pears.

Hence,

8 cup of pears = 5 cups of cranberries

1 cup of pears = x

Cross Multiply

8x = 5

x = 5/8

x = 0.625

1 cup of pears = 0.625 cup of cranberries

From the above calculation we can see that the quantity of cranberries to 1 cup of pears from this summer is higher than that of last summer

Therefore, the batch of jam that tasted more like cranberries is the batch of jam from this summer

Answer:

This summer’s batch jam tasted more like cranberries.

Step-by-step explanation:

IXL

What are all the roots of the equation x^4 + 2x^3 = 13x^2 - 10x ?​

Answers

try practicing with different examples

can someone explain how to find the slope​

Answers

Answer:

slope is rise over run. first select a point. I'll use (0,-1). to get to the next complete point, you would have to go up (rise) 3 points and right (run) 1 point. the rise over run (3/1) divides evenly to 3. hope this helps!

A survey of a random sample of ninth-grade students from Alabama asked whether the students owned a
cell phone and whether they had brought a personal electronic device to use for schoolwork that day. The
two-way table of now relative frequencies below shows the data

Answers

Answer: A student who owns a cell phone is more likely to have brought a personal device than not to have brought one.

Step-by-step explanation:

Somebody pls answer this fast!!!!

A new novel is 540 pages. Emily has read 192 pages in 6 hours. Maria has read 170 pages in 5 hours.

a. Who reads​ faster, Emily or Maria​?

b. How long will it take Maria to read the entire novel at her current​ rate?

Answers

Answer:

maria reads faster (34 pages in a hour compared to 32) and might finish around 15.88 hours

Step-by-step explanation:

i dont think the second part is right

please help me! here’s a picture

Answers

Answer:

I would think the answer is 28?

im not really that sure

i just what some special person who gets this to have a good day stay safe god bless

Answers

Answer:

Same back to you

Step-by-step explanation:

I hope you smile today and don't let corona stop you from anything

Answer: thank you

Step-by-step explanation:

Find the value of V31.36

Answers

the value of v31.36 is v86.29 search it up
Other Questions
Danielle lives in a country that calls the Prime Minister the chancellor. What country does she live in? pollution in the____will have the greatest effect on human health. NEED HELP ASAP YOU WILL GET BRAINLIST. What fraction is greater than -2/3 and less than -1/2 BRAINLIEST Please help ASAP and leave a small explanation :) Which statement can be used to disprove the conjecture?Conjecture: The square of any integer is positive. Ana completed 40% of her math test yesterday. She completed 12 math problems. How many math problems are on her test? Marking brainlestmary has 200ml of hand sanitizer that is 15% alcohol she mixes it with 200ml of a hand sanitizer that is x% alcohol how many ml is in the 2nd hand sanitizer? Read the simile and its meaning: strong as an oxvery strong Select the sentence that correctly uses the simile. Jim typed fast because he was as strong as an ox. The boat was as strong as an ox on the calm, cool lake. The toy broke into tiny pieces because it was made to be as strong as an ox. Jim lifted the heavy bag of concrete because he was as strong as an ox. A nucleus with four protons has total positive charge During a harsh winter, the surfaces of lakes, ponds, and streams stay froren longer than usualWhy would this decrease the growth rate of deer in the area?There would be less water available.BThere would be less shelter availableC.There would be fewer hours of sunlightD. There would be more predators in the area, Which of the following sentences correctly uses quotation marks?A.The "summer" is going to be nice, she said.B."The summer is going to be nice", she said.C."The summer is going to be nice," she said.D.The summer is going to be nice, "she said." How did the European idea of land use and land ownership differ from the Native American idea?Europeans believed only men could own land, Native Americans believed both women and men could own land.Europeans believed individuals could own land, Native Americans believed land should be shared.Europeans believed land should be shared, Native Americans believed individuals could own land.Europeans believed both women and men could own land, Native Americans believed only men could own land. PLS help meif you get it right i will give brainliest Can someone pls help me with this I really need it :/ Pls help me use the graph to answer the questions [2071]State and explain Kohlrusch's law.(2071]Why does the specific conductance decreases and equivalent conductance increasewith dilution of a solution of electrolyte?ito unit How does it Vary with dilution?1101 I need help!!! I will give YOU brainliest if you answer something I like!What is good about using a personal tone in an article HELP PLS!!!!!! Polygenic traits are when one phenotype (trait) is controlled by several different genes. The provided example shows human skin color being controlled by 3 different genes. Describe one other trait (don't use skin color!) in any animal that you think could be a Polygenic trait, and explain why you think that it is (HINT: I did mention an example in class yesterday... lets SEE if you remember!). Please help Ill give brainliest to whoevers right