Prove the theorem: In a plane, if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other. Given the facts RS ⊥ CD and AB || CD, drag and drop each reason next to the appropriate statement in order to prove the statement RS ⊥ AB.

Answers

Answer 1

Answer:

The theorem requiring proof;

A transversal perpendicular to one of two  parallel lines is also perpendicular to the other parallel line

The two column proof is as follows

Statement      [tex]{}[/tex]                                               Reason

RS ⊥ CD     [tex]{}[/tex]                                                   Given

AB ║ CD     [tex]{}[/tex]                                                  Given

The Slope of AB = The slope of CD    [tex]{}[/tex]       definition of parallel lines

The Slope of RS = -1/(The slope of CD)    [tex]{}[/tex] definition of perpendicular lines

The Slope of RS = -1/(The slope of AB)    [tex]{}[/tex] transitive property of equality

The Slope of RS = -1/(The slope of AB)    [tex]{}[/tex] definition of perpendicular lines

RS ⊥ AB

Step-by-step explanation:


Related Questions

what is the equation of the line will mark you brainliest

Answers

so you're going to need to find the slope. in order to do that use (y2-y1)/(x2-x1)

(7-(-2))/(0-8)

simplify

9/-8

simplify -9/8

now using y=mx+b, we need to find b. so we can plug in the coordinates of (0,7) or (8,-2). let's use (8,-2) because it involves more math.

y=mx+b

-2=(-9/8)(8)+b

multiply (-9/8) by 8 to get -9

-2=-9+b

add 9 to both sides

7=b

so our equation is now

y=-(9/8)x+7

Write the slope-intercept form an equation of the line that passes through the points (-2,1) and (3,1)

Answers

Answer:

y=mx+b

y=1

Step-by-step explanation:

What does b= in mathematics

Answers

bisector. Base. In geometry, the base of a shape is the side (usually the bottom) that forms a right (90 degree) angle with the height of the object. Biannual.

(FREE BRAIN POINTS) NEED HELP) (FIRST ANSWER GETS BRAINLIEST) If triangle ABC△ A B C is similar to TRIANGLE D E F△ D E F, which of the following does NOT represent the relationship between the sides of the two triangles?

Answers

can you put the answer choices please

Answer:

g

Step-by-step explanation:

its like 80 perent sure

Worth 25 points!
Simplify these equations with steps please.
√-48
√-63
√-72
√-24
√-84
√-99

Answers

Answer:

Step-by-step explanation:

sqrt(i^2*16*3) = 4i[tex]\sqrt{3\\}[/tex]

sqrt(i^2*9*7) = 3i[tex]\sqrt{7}[/tex]

sqrt(i^2*36*2) = 6i[tex]\sqrt{2}[/tex]

sqrt(i^2*6*4) = 2i[tex]\sqrt{6}[/tex]

sqrt(i^2*4*3*7) = 2i[tex]\sqrt{21}[/tex]

sqrt(i^2*9*11)= 3i[tex]\sqrt{11}[/tex]

Which of the following equation have infinitely many solutions?

Answers

The answer is C. Because they are the same, any number you replace X with will result in a right equation.

Answer:

C

Step-by-step explanation:

A swimming pool was filling with water at a constant rate of 200 gallons per hour . The pool had 50 gallons before the timer started. write an equation in standard form to model the situation. ​

Answers

Answer:

200x+y=50

Step-by-step explanation:

ax+by=c

 In slope intercept form it would be y=200x+50

Plot 2 points 7 units away from 3 in both directions.What are the numbers

Answers

Answer:

-4 and 10

Step-by-step explanation:

the numbers decrease as you go left. 3-7= -4. and they increase going right. 3+7= 10.

A standard showerhead in Marty's house dispenses 7 gallons of water per minute. Marty changed this showerhead to an energy-saving one. The equation shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new showerhead. y = 3x How much water does Marty save each day with the change in showerheads if he uses the shower for 8 minutes each day? 4 gallons 12 gallons 32 gallons 53 gallons

Answers

Answer:

32 gallons

Step-by-step explanation:

A standard showerhead in Marty's house dispenses 7 gallons of water per minute. If he showers for 8 minutes, he uses:

1 minute = 7 gallons

8 minutes = x

x = 7 × 8 minutes = 56 gallons of water

We are told that:

Marty changed this showerhead to an energy-saving one. The equation shows the amount of water dispensed, y, as a function of the number of minutes, x, for the new showerhead. y = 3x

The equation for the energy saving shower:

y = 3x

Where x is the number of minutes spent in the shower

For 8 minutes

y = 3 × 8

y = 24 gallons

The gallons of water Marty saved each day with the change in showerheads if he uses the shower for 8 minutes each day is calculated as:

56 gallons - 24 gallons

= 32 gallons

Help please, need to show work.

Answers

9514 1404 393

Answer:

  3.  m∠A < 80°

Step-by-step explanation:

The exterior angle NGS, marked as 80°, has a measure that is the sum of the measures of the remote interior angles: GAN, GNA.

If we assume that angle measures cannot be zero, then we must have ...

  m∠A +m∠N = 80°

  m∠A = 80° -m∠N

Since m∠N > 0, the measure of angle A must be less than 80°.

This conclusion matches choice 3.

Please help me with my work

Answers

Answer:

1. y-4=2(x-2) 2.y-4=1/3(x- -4)

Step-by-step explanation:

Point slope form can be written as y-y1=m(x-x1)

(x1,y1) represents the coordinates provided

m= the slope, which is also provided in the question

Simply fill in the provided numbers into the point slope form equation

hope this helps and take care

pleaseee helppp ASAPP

Answers

Answer:

(-4,22)

Step-by-step explanation:

Answer:

(- 4, 22 )

Step-by-step explanation:

To determine which point lies on the graph, substitute the x- coordinate of the point into the equation and if the value obtained is equal to the y- coordinate of the point then it lies on the graph.

(1, - 2 )

y = - 4(1) + 6 = - 4 + 6 = 2 ≠ - 2 ← not on graph

(- 4, - 10 )

y = - 4(- 4) + 6 = 16 + 6 = 22 ≠ - 10 ← not on graph

(- 4, 22 )

y = - 4(- 4) + 6 = 16 + 6 = 22 ← lies on graph

(1, - 10 )

y = - 4(1) + 6 = - 4 + 6 = 2 ≠ - 10 ← not on graph

9. the learning modalityyou prefer this new normal a.modular learning b.online learning c.digital learning​

Answers

Answer: A module learning

Step-by-step explanation:

Answer:

Modular education partitions degrees into smaller, Lego-like building blocks of learning, each with their own credentials, learning and skills outcomes. ... Modular learning also enables lifelong learning because working professionals are able to learn new skills in shorter amounts of time, even while they work. So why I like it

Step-by-step explanation:

whoever answers first gets brainliest

Answers

Answer:

A is the answer

Step-by-step explanation:

PLZ HELP ME FAST!!!! 10 points
Analyzing a Scatter Plot
On a graph, points are scattered all over the graph.

Determine if there is a correlation and slope for the scatterplot.

A. positive correlation, positive slope

B. negative correlation, negative slope

C. negative correlation, positive slope

D. no correlation

Answers

Answer:

no correlation

Step-by-step explanation:

got it right on edge

Answer:

the answer is D) no correlation

Step-by-step explanation:

6th grade math i mark as brainliest​

Answers

Answer:

4

Step-by-step explanation:

2^2=2+2=4

An artist plans a sculpture by stacking two cubes. Write an algebraic expression the artist can use to find the volume of the sculpture. Then find the volume of the sculpture when x = 4cm. *Hint: V=s3

Answers

Answer:

[tex]V= 2x^3[/tex]

The volume is 128cm^3

Step-by-step explanation:

Given

[tex]Cubes = 2[/tex]

[tex]Sides = 4cm[/tex]

Required

Determine an expression for its volume

Find the volume

Volume of a cube is:

[tex]Volume = x^3[/tex]

Where x represents the length of a side

So, volume of 2 cubes would be:

[tex]V= x^3 + x^3[/tex]

[tex]V= 2x^3[/tex]

Solving (b): Volume when x = 4

Substitute 3 for x in [tex]V= 2x^3[/tex]

[tex]V = 2 * 4^3[/tex]

[tex]V = 2 * 64[/tex]

[tex]V = 128[/tex]

Hence, the volume is 128cm^3

2x² – 5x-3
Quadratics all work has to be shown

Answers

Answer:

(2x+1)(x-1)

Step-by-step explanation:

2x² – 5x-3

2x²+x-6x-3

x(2x+1)-3(2x+1)

(2x+1)(x-1)

A cashier contains 53 coins worth $4.40 they are all nickels and dimes right to equations that would be used to solve the system and solve

Answers

Answer:

(n+d=53) (.05n+.10d=4.40)   :)

determine the resulting polynomial
f(x)=9x+2
g(x)=-4x^2-5x+1

Answers

Answer:

ithink ilove u so much ..,......

If y'll need a brainiest and you have 6 or less answer this question! Just trying to help!

Answers

Answer:

wait but do you have a question still or???

algebra test so please don’t answer unless you know you’re right.

Answers

Answer: I found the perimeter of the rectangle I got: 10x+4

Step-by-step explanation:

This is for a grade,Please help me out as much as you can!!!

Answers

Answer:

a

Step-by-step explanation:

A 2-column table with 4 rows titled How many text messages do you send a day question mark. Column 1 has entries 0-50, 50-100, 100-150, more than 150. Column 2 has entries 10 percent, 75 percent, 10 percent, 5 percent.
The 4,000 students at Tech High were surveyed about their use of text messaging. How many students said they text 50-100 times a day?




students

Answers

Answer:

3000

 

Is Your Answer    

Answer:

3000

Step-by-step explanation:

Can anyone help me with H?

Answers

Answer:

13 units

Step-by-step explanation:

It is an equilateral triangle, so all sides have the same length

PLEASE HELP ILL MARK BRAINLEST

Answers

Answer:

A 5 •1/2

Step-by-step explanation:

Sorry i misunderstood it for a second

Answer:

2/5 I think

Step-by-step explanation:

Which is NOT true?
A 7 + 7 = 19 - 5
B 9 + 9 = 11 + 7
C 19 = 13 + 5
D 20 - 12 = 4 + 4

Answers

Answer:

C

Step-by-step explanation:

13+5=18 not 19 therefore C is not true

The answer is the letter C

The graph shows the relationship between the length of time Ted spends knitting and the number of scarves he knits.

What does 161616 mean in this situation?
Choose 1 answer:
Choose 1 answer:

Answers

Answer:

The answer is C It takes Ted 16 hours to knit a scarf.

Step-by-step explanation:

I got it on Khan.

Answer:

c

Step-by-step explanation:

16. BD is an altitude in AABC find the value of x'if MZADB -
(3x + 15)°

Answers

Answer:

x = 25°

Step-by-step explanation:

Since BD is altitude, BD ⊥ AC

Therefore ∠ ADB = 90°

3x + 15° = 90°3x = 90° -15°3x = 75°x = 75°/3x = 25°

5
A line passes through the point (-4, 2) and has a slope of
Write an equation in slope-intercept form for this line.

Answers

Answer:

[tex]y=\frac{5}{4}x+7[/tex]

Step-by-step explanation:

We can start by setting up what we know of the slope-intercept equation, which is the slope.

[tex]y=\frac{5}{4}x+b[/tex]

Now, we can use the given point to find the y-intercept.

[tex]2=\frac{5}{4}(-4)+b\\ 2=-5+b\\b=7[/tex]

And now we are able to write the slope-intercept equation.

[tex]y=\frac{5}{4}x+7[/tex]

I hope this helps!

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