Given: Angle T S R and Angle Q R S are right angles; Angle T Is-congruent-to Angle Q Prove: Triangle T S R Is-congruent-to Triangle Q R S Triangles T S R and Q R S share side S R. Angles T S R and S R Q are right angles. Angles S T R and S Q R are congruent. Step 1: We know that Angle T S R Is-congruent-to Angle Q R S because all right angles are congruent. Step 2: We know that Angle T Is-congruent-to Angle Q because it is given. Step 3: We know that Line segment S R is-congruent-to line segment R S because of the reflexive property. Step 4: Triangle T S R Is-congruent-to Triangle Q R S because of the ASA congruence theorem. of the AAS congruence theorem. of the third angle theorem. all right triangles are congruent.

Answers

Answer 1

Answer:

Its b on edge

Step-by-step explanation:

yes

Answer 2

The Triangle TSR ≅ QRS by AAS congruence, the correct option is B.

What is a Triangle?

A triangle is a polygon with three sides, vertices and three angles.

The triangle TSR and QRS are right-angle triangles, in a right angle triangle one of the angle is equal to 90 degree,

'These triangles have to be proved congruent,

They both have the right angle.

The measure of Angle T = Angle Q,

They both have a common side,

So, they both are congruent by AAS congruence theorem.

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Related Questions

Rationalise the denominator and simplify:

7/√7

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {√7}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] =\frac{7}{ \sqrt{7} }\\ [/tex]

[tex] = \frac{7}{ \sqrt{7} } \times \frac{ \sqrt{7} }{ \sqrt{7} }\\ [/tex]

[tex] = \frac{7 \sqrt{7} }{ \sqrt{7} \times \sqrt{7} }\\ [/tex]

[tex] = \frac{7 \sqrt{7} }{7}\\ [/tex]

[tex](∵ \sqrt{a} \times \sqrt{a} = a)\\[/tex]

[tex] = √7[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35ヅ}}}}}[/tex]

Step-by-step explanation:

Given,

7/√7

The denominator is √7.

We know that

Rationalising factor of √a is √a.

Therefore, the rationalising factor of √7 is √7.

On rationalising the denominator them

=> (7/√7) × (√7/√7)

=> 7(√7)/(√7 × 7)

=> 7√7/7.

Hence, the denominator is rationalised.

The area of a rectangular painting is 5049 cm. If the width of the painting is 51 cm, what is its
length?

Answers

Answer:

The length is 99 centimeters.

Step-by-step explanation:

The area of a rectangle is found by multiplying:

A = Length • width

We also know that the area of the rectangular painting is 5,049 cm^2

An equation to represent this is:

51w = 5049

To find w, divide:

5049/51 = 99

CHECK YOUR ANSWER:

Formula tor area of a rectangle:

Length x width

Use formula with the measurements:

99 x 52 = 5049

So the length is 99 centimeters.

HOPE THIS HELPS!

find the area of 72 by 108 inches in square yards? pls show work

Answers

Step-by-step explanation:

72 times 108 = 7776 sq inches

to convert inches to yds divide by 36

7776/ 36 = 216 sq yds

Answer: 6 yards^2

Step-by-step explanation:

first lets find the area of the space in inches and then convert the total to square yards :)

area = length * width

A = 108 * 72 = 7776 inches^2

now lets convert it

there are 1296 inches in a yard, so we divide 7776 by 1296 to find the number of square yards

7776 / 1296 = 6

so the area of the space is 6 yards^2

Complete the solution of the equation. Find the
value of y when x equals -8.
4x + 9y = -14

does anyone know what this is?

Answers

Answer:

Y is equal to 2

Step-by-step explanation:

X equals -8

So,

4(-8) + 9y = -14

-32 + 9y = -14

-32 + 32 + 9y = -14 + 32

9y = 18

1/9 × 9y = 18 × 1/9

y = 2

Rose and her twin brother decided to carry their juice in the lunch bags. Rose choose the tin juice that holds 472ml. Her brother took the bottled juice that contains 1/2 litre. Which of the two had more juice and by how much?

Answers

Answer:

Her brother had more juice by 28 mL

Step-by-step explanation:

Convert the 1/2 liter bottle to mL.

In 1 liter, there are 1000 mL. So, in 1/2 liters, there are 500 mL.

Since Rose's tin juice only holds 472 mL, her brother had more juice.

Find how much more he had by finding the difference:

500 - 472

= 28

So, her brother had more juice by 28 mL

hank paid #3.50 for 2 hamburgers. how much will he pay for 8 hamburgers?

Answers

Answer:

$14

Step-by-step explanation:

3.50/2= 1.75

1.75*8= 14

can you help me get the answer for this Q, please :)

Answers

honestly math is hard at but i need points so that’s why i’m here so i hope this works

Factor the following expressions completely. Show and check all work on your own paper.
x2+169

Answers

Answer:

The factor is polynomial

Step-by-step explanation:

trust me broski

If g(x) = x^2 - 3, find the value of:

a) g(5)
b) g(-2)
c) g(a+1)

Answers

Answer:

this answer kajjsnnsnsnsnsnsnsnsnssnnsnssnjxxjxnxnxxnndnsndnsndndnd

Answer

g(5)=22

g(-2)=1

g(a+1)=(a+1)^2-3

g(a+1)= (a+1)(a+1)-3

g(a+1)=a^2+2a-2

Step-by-step explanation:

if you wanted to solve for a you would need to use the quadratic formula and solve for a.

You bought a shirt for 13.50 that was originally 45.00 in terms of percent what discount did you get the shirt?

Answers

45-13.5= 31.5

31.5/45x100= 70%

You got the shirt 70% discounted.

I am not too sure if it’s correct though, I might be wrong.

m∠MNO =____because they are_____ (Fill in the blanks)

Answers

Answer:

No answer is possible from the information provided

Step-by-step explanation:

The is no∠MNO in the image.

Answer:

But then there is no < MNO on the diagram

What are the solutions to the equation (2x+1)^2-(x+13)=3x^2-2x+2

Answers

4x^2+4x+1-x-13= 4x^2+3x-12

4x^2+3x-12=3x^2-2x+2

X^2+5x-14=0

Then use quadratic equation to find the values of the 2 x and you will get,

x=2 and x=-7

explain how you can use a model to find 4 x 3/4 include a drawing and a solution

Answers

Answer:

4 x 3/4 = 3

Step-by-step explanation:

The second term in a sequence is 13. The term to term rule is "add 6"

Write an expression, in terms of n, for the nth term of the sequence.

Answers

Answer:

[tex]a_{n}[/tex] = 6n + 1

Step-by-step explanation:

This is an arithmetic sequence with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 13 - 6 = 7 and d = 6 , then

[tex]a_{n}[/tex] = 7 + 6(n - 1) = 7 + 6n - 6 = 6n + 1

Answer:

the first few terms would be

7, 13, 19, 25, 31

nth term = 7 + 6(n+1)

nth term = 7+ 6n + 6

nth term = 6n + 13

all of the students at mountain range foreign language. 5/8 students take spanish.3/10 of the students take french.the remaining students take mandarin. what fraction of the students take mandarin?

Answers

Fraction of students taking mandarin: 3/40

Hope it helps.

Triangle AEB is similar to triangle CBD by ​

Answers

Answer:

SAS

Step-by-step explanation:

30 points for 2 questions if you got the question correct I’m gonna give you brainlist

Answers

Answers :

9.) hyperbole

10.) destruction, boxer

(i’m not entirely sure about 10 because your teacher left a note about specific examples used in class, but it makes the most sense)

Solve for x. Round to one decimal place

Answers

Answer:

x ≈ 27.2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 54°

Opposite Leg = 22

Hypotenuse = x

Step 2: Solve for x

Substitute in variables [sine]:                                                                           sin54° = 22/x[Multiplication Property of Equality] Cross-multiply:                                      x = 22/sin54°Evaluate:                                                                                                           x = 27.1935Round:                                                                                                               x ≈ 27.2

Change 1/3 to a decimal number (show the working)​

Answers

Answer:

0.33

Step-by-step explanation:

1/3 can also be written as 1 ÷ 3 which equals 0.33

Answer:

0.333333333

Step-by-step explanation

how many real solutions does the equation sqrt 2x+4=1/2 x+1 have?

Answers

Answer:

unfortunately I do not have the answer, but this is like the only way to tell you something

The 3 real roots of the given equation.

To find the real roots.

What is quadratic equation?

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.

Given that:

The equation are

[tex]\sqrt{2x+4}=\frac{1}{2x} +1\\[/tex]

By squaring both sides

[tex]2x+4=\frac{1}{4x^{2} }+1+\frac{1}{x} \\\\2x-\frac{1}{x}+3=\frac{1}{4x^{2} }\\\\8x^{3}-4x+12x^{2} -1=0\\ \\8x^{3}+12x^{2}-4x -1=0[/tex]

By solving quadratic equation ,

Solutions for x

x1 = -1.74543

x2 = -0.17169

x3 = 0.41712

So, the 3 real roots of the given equation.

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how tall is three feet

Answers

Answer: if you mean Inches, its 25.

Answer:

36 inches or 1 yard

Step-by-step explanation:

the standard normal curve shown below models the population distribution of a random variable. what proportion of the values in the population does not lie between the two z-scores indicated on the diagram?

Answers

Answer:

The answer is B. 0.1131 because the molecule has been observed and the hill is upwards so there you have

What is 9/12a = 1 ? Also what is 6/5b = 1 ? And Finaly what is 12c = 1 ?

Answers

Step-by-step explanation:

hope I understand your question

a = 9/12

b = 6/5

c = 1/12

please simplify the fractions by yourself

Day
Average speed, s
(miles per hour)
7.2
Number of
calories burned,
616
6.8
584
Monday
Thursday
Friday
Saturday
7.9
672
8.5
720
On certain days of the week, Elaine runs for an
hour on a treadmill. For each day that she ran in
the last week, the table above shows the average
speed s at which she ran, in miles per hour, and
the number of calories c she burned during the
run. If the relationship between c and s can be
modeled by a linear function, which of the
following functions best models the
relationship?
A) c(s) = 30s + 400
B) c(s) = 60s + 210
C) c(s) = 80s + 40
D) c(s) = 90s - 30

Answers

Answer:

ran" (and any subsequent words) was ignored because we limit queries to 32 words.

Please show your working too

1. Five men takes 3 hours and 20 minutes paint a house. How long would it take four men to paint a similar house? Give your answer in hours and minutes.

2. If 24 houses can be built by 6 builders in one year, how many builders would it take to build 52 houses in the same amount of time?

3. Two people can build four identical walls in three days. At this rate, how many of these walls could ten people build in 3.75 days?

4. Two toy makers can make eight toy soldiers in two weeks. How many toy soldiers could seven toy makers make in three weeks if they work at the same rate?

Answers

Answer:

1. 4hrs and 10mnts

2. 13 builders

3. 25 walls

4. 52 toy soldiers

Step-by-step explanation:

1. then, one man can do it in 16hrs and 40mnts, so, 4 men would take 4hrs and 10mnts

2. one builder can build 4 houses in a year, so 13 builders are needed to build 52 houses

3. they can do it at a rate of 2 walls per person for 3 days, so 10 ppl can make 25 walls in 3.75 days

4. 4 toys per person for 2 weeks, so 7 makers can make 52 toys for 3 weeks

For Triangle PQM, where M is the Right Angle and PQ is the Hypotenuse. You know side PM = 8, side PQ = 17, Side MQ = 15. Find Angle P.

PLEASEEEEEE HELPPPPPPP​

Answers

Answer:

61.9°

Step-by-step explanation:

tan p = opposite/ adjacent

tan p = 15/8

[tex]tan^{-1}[/tex] (15/8)

PLEASE HELP ASAP! which answer choice?
a. (2, 3)
b. (4, 0)
c. (4, 2)
d. (6, 3)

Answers

Answer:

C

Step-by-step explanation:

(20x2 – 12x) + (25x– 15)
4x(5x – 3) + 5(5x – 3)

Answers

Answer:

4   5

Step-by-step explanation:

I got it right here.

The factored form of (20x² – 12x) + (25x– 15) is (4x+ 5)( 5x- 3).

What is Factorize?

The process of breaking or decomposing an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorisation or factoring.

Given:

(20x² – 12x) + (25x– 15)

or, 4x(5x – 3) + 5(5x – 3)

or, (4x+ 5)( 5x- 3)

Hence, the factored form of (20x² – 12x) + (25x– 15) is (4x+ 5)( 5x- 3).

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Look below at the picturess!!! pls help me i will give you 100 points !

Answers

Answer:

1/4

Step-by-step explanation:

because there 25% change

Answer:

for the blue its 1/4 or 2/8 and not likely.

For the yellow one it is 7/8 and likely.

Please help i don't have enough time!! PISA: Exchange rate Mei-ling from Singapore has been preparing to go to South Africa for 3 months as an exchange student. She needed to convert some Singapore dollars (SGD) into South African Rand (ZAR). Mei-Ling discovered that the exchange rate between Singapore Dollar and South African Rand SeM 1 SGD = 4.2 ZAR Mei-Ling changed 3000 Singapore Dollars to South African Rand at this exchange rate. How much money did Mai Ling get in South African Rand?

Answers

Answer:

12600 (ZAR)

Step-by-step explanation:

4.2*3000

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