Given ---AB || ---RS Prove: QA/QR = QB/QS

Answers

Answer 1
2. Reflective property
3. Corresponding angles are congruent
4. Angle side angle ?
5. ?
Answer 2

The prove for QA/QR = QB/QS is shown below.

What is Similarity of Triangles?

Two triangles are said to be comparable if their two sides are in the same ratio as the two sides of another triangle and their two sides' angles inscribed in both triangles are equal.

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable.

1) Given

2) <Q is congruent to <Q

by reflexive property of congruence

3) <QBA is congruent to <QSR

by alternate interior angles theorem

4) Triangle QBA is similar to triangle QSR

by AA theorem

5) QA/QR=QB/QS

by CPSP (corresponding parts of similar polygons are proportional)

Learn more about Similarity here:

https://brainly.com/question/26451866

#SPJ7


Related Questions

The temperature dropped 20 degrees from noon to midnight. The temperature at midnight was 24°F. Write and solve an equation to find the temperature at noon?

Answers

x - 20 = 24

Add 20 to both sides

x = 24 + 20 = 44

solve the following for x 4(x+2) = 6x

Answers

Answer:

x = 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

4(x+2)=6x

distribute 4:

4x+8=6x

Subtract 4x from each side:

8=2x

Divide both sides by 2:

x=4

Matt was given $14 for a good report card. He now has $23. How much money did he start with?

Answers

Answer:

9 dollars

Step-by-step explanation:

do 14 - 23

$9. $23 minus the $14 he was given equals $9.

Find the volume of this cylinder.
Give your answer to 1 decimal place.
11 cm

14 cm

Answers

Answer:

1,330.5 cm³

Step-by-step explanation:

Volume of cylinder = πr²h

Where,

r = ½ of 11 = 5.5

h = 14 cm

Plug in the values

Volume = π × 5.5² × 14

Volume = π × 423.5

Volume = 1,330.5 cm³ (1 d.p)

Find the standard form of the equation for the conic section represented by x^2 + 10x + 6y = 47.

Answers

Answer:

The standard form of the equation for the conic section represented by [tex]x^2\:+\:10x\:+\:6y\:=\:47[/tex] is:

[tex]4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2[/tex]

Step-by-step explanation:

We know that:

[tex]4p\left(y-k\right)=\left(x-h\right)^2[/tex] is the standard equation for an up-down facing Parabola with vertex at (h, k), and focal length |p|.

Given the equation

[tex]x^2\:+\:10x\:+\:6y\:=\:47[/tex]

Rewriting the equation in the standard form

[tex]4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2[/tex]

Thus,

The vertex (h, k) = (-5, 12)

Please also check the attached graph.

Therefore, the standard form of the equation for the conic section represented by [tex]x^2\:+\:10x\:+\:6y\:=\:47[/tex] is:

[tex]4\left(-\frac{3}{2}\right)\left(y-12\right)=\left(x-\left(-5\right)\right)^2[/tex]

where

vertex (h, k) = (-5, 12)

Jane moved from a house with 66 square feet of closet space to an apartment with 37.62 square feet of closet space. What is the percentage decrease of Jane's closet space?

Answers

Answer:

Step-by-step explanation:

A system of equations is shown below. y = 2x - 9 y = x + 3 What is the solution to the system of equations?​

Answers

Answer:

Well, you would need to graph both, and you can see they intersect at the point (12,15)

I need help..Please make it correct..

Answers

Answer:

11/13

Step-by-step explanation:

3/13, 5/13, 7/13, 9/13, 11/13

3/13

3/13 + 2/13 = 5/13

5/13 + 2/13 = 7/13

7/13 + 2/13 = 9/13

9/13 + 2/13 = 11/13

Write the phrase as an expression. Then evaluate the expression when y=20 . the quotient of 40 and the difference of a number y and 16 Expression: When y=20, the value of the expression is

Answers

Answer:

Write the phrase as an expression. Then evaluate the expression when y=20 . the quotient of 40 and the difference of a number y and 16 Expression: When y=20, the value of the expression is

THE QUESTION IS ABOVE​

Answers

Answer:

The box would be 14

Step-by-step explanation:

It would be 14 because 7/14 is equal to 1/2. And 2/4 is also equal to 1/2.

Answer:

7/14

Step-by-step explanation:

Have a nice day.....

Geometry pls help me

Answers

Answer: 180

Step-by-step explanation:

When added together, Interior angles of a triangle are always equal to 180 degrees.

Answer:

∠FHG=120°

Step-by-step explanation:

first you calculate the angles of the triangle NGH

this is isoceles triangle, so there's 2 equal angles

and as shown, the 2 same angles are having 2 lines in each one, this 2 lines represents that the 2 angles are same

so both are 20°

any triangle has a sum of 180° of interior angles

so 180-(H+G)=the angle below N

180-(20+20)=140°

the angle below N is same as N because they're vertically opposite

140 is an exterior angle

and the exterior angle is equal to the 2 far angles

140=40+∠FHN

140-40=100°

so ∠FHN=100°

∠FHN+∠NHG=∠FHG

100+20=120°

so ∠FHG=120°

theres another answer choice thats four but it got cut out please help pretty easy question

Answers

Answer:

We conclude that:

f(g(3)) = 2

Hence, option B is correct.

Step-by-step explanation:

Given the f(x) table

x         2          3            4          5

f(x)      0           1             2         3

Given the g(x) table

x         1           2           3            4

g(x)      1           2            4           8

We need to determine f(g(3)).

In order to determine f(g(3)), first, we need to determine g(3)

It is clear from the table of g(x),

at x = 3, g(3) = 4

so

f(g(3)) = f(4)

Now, we need to check the value of f(4) at x = 4 using the table f(x)

It is clear from the table of f(x),

at x = 4, f(4) = 2

Thus,

f(g(3)) = f(4) = 2

Therefore, we conclude that:

f(g(3)) = 2

Hence, option B is correct.

Can someone help me with this??

Answers

It would be a=3 b=3 c=5

Answer:

the second option, a=3 b=3 c=5

Step-by-step explanation:

first I would change them both into an improper fraction:

9/2 divided by 5/4

dividing is the same thing as mulitiplying by the reciprocal of the second number. so you would mulitply 9/2 x 4/5 = 36/10 and then you simplify back to a mixed number 3 6/10, 6/10 can be reduced so the final answer is 3 3/5.

what is the property pls help

Answers

Answer:

B

Step-by-step explanation:

Because its addition

Answer:

I'm pretty sure it's B). Additive identity Property.

Step-by-step explanation:

If it isn't let me know.

Evaluate 14 + (-2). (1 point)
O
16
-16
O
-12
12

Answers

the answer to 14+(-2) is 12

One angle of a triangle measures 75. The other two angles are in a ratio of 5:16. What are the measures of those two angles?

Answers

Answer:

25 and 80

Step-by-step explanation:

180 - 75 = 105

105 / (5+16) = 5

multiply each side of the ratio 5:16 by 5

5x5 : 16x5 = 25:80

Which table could NOT represent a function?


input 0 1 2 3 4
output 2 4 6 8 10

input 30 40 50 60 70
output 21 11 -1 -11 -21

input 4 9 14 19 24
output 10 12 14 16 18

input -10 -10 0 0 10
output 8 16 24 32 40

Answers

Answer:

The fourth one

Step-by-step explanation:

Just cause its right

The last one is correct because the x repeats
If the x repeats it’s not a function

The perimeter of a rectangular pool is 72 meters. If the length of the pool is twice its breadth. Its length is_________.

Answers

Answer:

Length = 18 meters

Step-by-step explanation:

Let the length of the rectangular pool = l meters

And breadth of the pool = w meters

Perimeter of the rectangular pool = 2(l + 2w)

Since, perimeter of the rectangular pool is 72 meters.

2(l + 2w) = 72

l + 2w = 36 --------(1)

If length of the pool is twice of its breadth,

l = 2w

w = [tex]\frac{l}{2}[/tex] -------(2)

By substituting the value of 'w' from equation (2) to equation (1),

[tex]l+2\times{\frac{l}{2}}=36[/tex]

2l = 36

l = 18 meters

Can someone walk me through this?

Answers

Answr :

I hope my answer is correct

m<Jmk = m<HML. m<HJL=m<KHJ

m<JKH=m<JHL m<LHK=m<JLH

m<HLK = m<HJK. m<JLK= m< HJL

OLEASE HELP I BEG YOU

Answers

Answer:1 is the remainder hope it helps

Answer:

This is pretty easy the dividend is 34,465 and the divisor is 6 and whatever the answer is will be the quotient

Step-by-step explanation:

hope this helps :>

Explain how to use the distributive property to simplify: -2(x + 5) ?

Answers

Answer:

-2x-10

Step-by-step explanation:

Distributive Property is basically a term for opening parentheses. So, in your case -2(x+5) we would multiply x and 5 by -2. X times -2 is -2x and 5 times negative 2 is -10. -2x-10 would be your final answer.

[tex]\huge\bold{ANSWER:}[/tex]

-2x-10

[tex]\bf{EXPLANATION:[/tex]

Hi there!

Here's what the Distributive Property states:

a(b+c)=ab+ac

So, we take a number outside the parentheses, and "distribute" it.

In this case, we should distribute -2:

-2(x+5)

-2x-10 (a negative times a negative is a positive)

Hope it helps!

Enjoy your day!

Feel free to ask if you have any doubts! :)

[tex]\mathfrak{SilentNature~a.k.a.Sparkles}[/tex]

Simplify the expression.
3.4m + 9 - 2.4m =blank

Answers

Answer:

m+9

Step-by-step explanation:

What is the volume of a cylinder with a radius of 4 yards and a height of 6 yards

Answers

Answer: 230. 58 m^3


Explanation: V=πr2h=π·3.662·5.49≈230.58431


Hope this is right

Answer:

301.59 yards

Step-by-step explanation:

The Science Club went on a two-day field trip. The first day the members paid $60 for transportation plus $11 per ticket to the planetarium. The second day they paid $85 for transportation plus $8 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.
if you can please solve it

Answers

Answer:

145 + 19t

Step-by-step explanation:

At 9:00 a.m., it starts snowing outside Dario's home at the rate of 6 inches per hour. If Dario's front door is 84 inches tall, at what time will the snow reach the very top of Dario's front door?

30 POINTS PLUS BRAINLIEST!!!

Answers

At 11 pm it will cover the door

Answer:

Step-by-step explanation:

at 9:00AM starts snowing, 84/6=14

9:00 AM..........................0 inches

10:00AM..........................6inches

11:00AM...........................12 inches

12:00PM...........................18 inches

.......................................................

11:00PM..............................84 inches

Brock divided all of his games into 3 shelves, and there were at least 12 games on each shelf. What inequality matches this scenario

Answers

Answer: See explanation

Step-by-step explanation:

From the question, we are informed that Brock divided all of his games into 3 shelves, and there were at least 12 games on each shelf.

The inequality that matches this scenario will be:

x ≥ 12.

Since there were at least 12 games, we would use the greater than or equal to sign.

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP NEED ANSWER NOW!!!!!!!!!!!!!!!!!
solve each linear system by GRAPHING. CHECK YOUR ANSWER
2.) x - y = 6
2x = 12 + 2y

3.)1/2 x - y = 4
2y = x + 6

Answers

Answer:

2.) Infinitely many solutions

3.) No solutions

Step-by-step explanation:

To solve systems of equations graphically, you need to find where they intersect

2.) First put each equation in the form y=mx+b

x-y=6 -> y= x-6

2x=12+2y -> y= x-6

Then, graph each line

Since we have the same equation, the lines are on top of each other so there are infinitely many solutions as they intersect everywhere.

To check, plug a point in from the graph into both equations and you should get 0=0

3.) First put each equation in the form y=mx+b

1/2x-y=4 -> y=1/2x-4

2y=x+6 -> y=1/2x+3

Then, graph each line

Since the lines have the same slope but a different y intercept, the lines are parallel. Therefore, there are no solutions as they do not intersect.

To check your answer, you would one equation as the y in the other equation.

2(1/2x-4)=x+6, then solve for x

Then plug that x into the original equations, and you'll see they are not equal. Hope that helps!

please help me pleeeeeeaaassseee

Answers

Answer:

Step-by-step explanation:

answer no 3:

1] Factor out the common term 2.

2(3x+y) = -26

2] Divide both sides by 2.

3x+y= -26/2

3x+y = − 13

 

3]Subtract y from both sides.

3x = - 13-y

4] Divide both sides by 3.

x = -13-y/3

Part 2:-

Add 6y to both sides.

x=21+6y

x=21+6y

​  

Javier is buying fencing to surround his garden. If his garden has a perimeter of 30 yards, and fencing costs $6.00 a yard, how much money will he need for the fencing?

Answers

$180

Step-by-step explanation:

30 x 6 = 180

Answer:

180 it is basic multiplication

Step-by-step explanation:

2/5 of 2/3

What’s the answer to this? I’m failing math and I kinda forgot how to do fractions lol

Answers

Answer:

4/15 is your answer my friend

Step-by-step explanation:

Answer:

when the equation says of, all you need to do is multiply the two numbers, so the answer is 4/15

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