For problems 1 - 4, write a two-column proof.

Answers

Answer 1

Answer:

Solution given:

1:

<5=<6

<5+<4=180°[co interior angle]

Substituting value of<5

<6+<4=180°[it shows a property of co interior angle]

So

l || m

2:

<1=90°[ l is perpendicular to t]

<2=90°[m is perpendicular to t]

since

<1=<2[shows property of corresponding angle]

:.

l || m.

3:

<1=<2

<1=<3

substituting value of<1 in second one

<2=<3[which shows property of alternate Angel]

So

Segment ST || segment UV.

4:

<RSP=<PQR......[I]

<QRS+<PQR=180°.....[ii]

from equation I and ii we get

<RSP+<QRS=180°[which shows property of co interior angle ]

So

Segment PS || segment QR

For Problems 1 - 4, Write A Two-column Proof.
Answer 2

These pictures are the questions given in the pdf, let's get the solutions.

1) Solution

It is given that,

→ <5 = <6

Then the co interior angles,

→ <5+ <4 = 180°

Now substituting value of <5,

→ <6+ <4 = 180°

This shows property of co interior angle.

Therefore, L II m.

2) Solution

Take it as,

→ <1= 90°

In above eq. L is perpendicular to t.

→ <2 = 90°

In above eq. m is perpendicular to t.

Then it will be,

→ <1 = <2

It shows property of corresponding angle.

Therefore, L II m.

3) Solution

It is given that,

→ <1 = <2 and <1 = <3

Now substitute,

The value of <1 in second one,

→ <2 = <3

This shows property of alternate angle.

Therefore, ST II UV.

4) Solution

It is given that,

→ <RSP = <PQR --- (1)

→ <QRS + <PQR = 180° --- (2)

Now from the equation (1) and (2),

→ <RSP + <QRS = 180°

It shows property of co interior angle.

Therefore, PS II QR.

For Problems 1 - 4, Write A Two-column Proof.
For Problems 1 - 4, Write A Two-column Proof.

Related Questions

HELP ME PLEASE
23. Two swimmers are training over a two-week period to increase the number of laps each can do consecutively. Swimmer A can do 14 laps to start, and increase her total by 3 laps each day. Swimmer B is charting her progress in the table below. Compare the initial values for each. ​

Answers

Answer:

Answer is A

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer is C because if swimmer A does 14 laps to start an 3 laps every day after that and on the chart swimmer B does 11 laps to start and 2 laps every day after that you would compare.

on day 3 swimmer B has 17 (shown on chart)

on day 3 swimmer A has 23 (14, 17, 20, 23)

if you would want it to complicate it 14:3 and 11:2

14 ÷ 14 is 1

3 ÷ 14 is .214

11 ÷ 11 is 1

2 ÷ 11 is .181

What is the value of expression below when z=5? 5z−4

Answers

Answer:

21

Step-by-step explanation:

5×5-4 you replace the z with the 5 then multiply by 5 and subtract by 4

Answer:

21

Step-by-step explanation:

5×5-4 you replace the z with the 5 then multiply by 5 and subtract by 4

Please help me solve this, and show your work ​

Answers

Answer:

16.  25/45 ; 18/45

17  4/7; 4/7

Step-by-step explanation:

5/9 and 2/5

The common denominator is 45

5/9 * 5/5 = 25/45

2/5 *9/9 = 18/45

4/7  and 12/21

Simplify 12/21 by dividing by 3 in the numerator and denominator

12/21 = 4/7

4/7; 4/7

The common denominator is 7

16:25/45;18/45

17: 4/7;4/7

Answer:

16:5/9;2/5

Common denominator is 9*5=45

now

make a equal denominator

5/9=5/9*5/5=25/45

2/5=2/5*9/9=18/45

and

17: 4/7;12/21

common denominator =7

4/7

12/21=4/7

Wendy brought 4 cakes and 2 pies for $20. The cost of a cake is twice the cost of 1 pie. A) What was the cost of one cake b)What was the cost of 1 pie?

Answers

Answer:

a. The cost of one cake is $4.

b. The cost of one pie is $2.

Step-by-step explanation:

Let the cost of cake be C.Let the cost of pie be P

C = 2P  .....equation 1

4C + 2P = 20  .....equation 2

Substituting eqn 1 into eqn 2, we have;

4(2P) + 2P = 20

8P + 2P = 20

10P = 20

P = 20/10

Pie, P = $2

Next, we would determine the cost of a cake;

From equation 1;

C = 2P

Substituting the value of "P" we have;

C = 2 * 2

Cake, C = $4

Therefore, we would have the following answers;

a. The cost of one cake is $4.

b. The cost of one pie is $2.

Check:

From equation 2;

4C + 2P = 20

4(4) + 2(2) = 20

16 + 4 = 20

20 = 20

What is the probability of rolling 2 standard dice which sum to 9?

Answers

Answer: 1/9

Explanation: Tbh I can’t explain how my brain just clicks sometimes

A high school football team has raised $1000 to spend on team jackets. The cost is $50 per jacket. Which equation below can be used to solve for the number of jackets the team can buy? Explain.
A. 50 = 1000n
B. 50n = 1000
C. 1000n = 50n

Answers

B. 50n =1000
n is for the number of jackets so n times 50 per jacket equals the $1000 the team raised

Help Please
Find The Surface Area Of The Prism

Answers

Answer:

360 cm^2

Step-by-step explanation:

Find the area of each face of the triangular prism.

Imagine the triangular prism as its net, it is composed with 2 triangular faces (these are tye bases of the prism) and 3 rectangular faces.

Areas of the 2 triangular bases (they are similar triangles):

1/2 x 8 cm x 6 cm = 24 cm^2

24 x 2 = 48 cm^2

Area of the rectangular face:

8 x 13 = 104 cm^2

Area of another rectangular face:

6 cm x 13 cm = 78 cm^2

Area of another rectangular face:

13 cm x 10 cm = 130 cm^2

Add up all the areas of all faces:

48 + 104 + 78 + 130 = 360

So the SA is 360 cm^2

Use the Factor Theorem to prove x^3 - 13x - 12 is divisible by x^2 – X – 12

Answers

Answer:

See Below.

Step-by-step explanation:

We want to prove that:

[tex]x^3-13x-12\text{ is divisible by } x^2-x-12[/tex]

We can factor the divisor:

[tex]x^2-x-12=(x-4)(x+3)[/tex]

According to the Factor Theorem, if we have a polynomial P(x) divided by a binomial in the form of (x - a) and if P(a) = 0, then the binomial is a factor of P(x).

Our two binomial factors our (x - 4) and (x + 3). Thus, a = 4 and a = -3.

Evaluate the polynomial for both of these factors:

[tex]P(4)=(4)^3-13(4)-12=0[/tex]

And:

[tex]P(-3)=(-3)^3-13(-3)-12=0[/tex]

Since both yielded zero, the original polynomial is divisible by both (x - 4) and (x + 3) or x² - x - 12. Hence:

[tex]x^3-13x-12\text{ is indeed divisible by } x^2-x-12[/tex]

The equation of the line with slope −4 that goes through the point (8,−3)
can be written in the form y=mx+b
where m is:
and where b is:

Answers

Answer:

y = -4x + 29

Step-by-step explanation:

-3 = -4(8) + b

-3 = -32+b

29=b

The equation whose slope is -4 and passes through (8,-3) is y=-4x+29 where slope is -4.

What is equation?

Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.

How to form equation?

We have been given slope of line being -4 and point through which it passes (8,-3) and we have to find the equation of line.

The equation from two points can be calculated through the following formula:

y-[tex]y_{1}[/tex]=m(x-[tex]x_{1}[/tex]) and slope is m.

Putting the values of points and slope in the formula given above.

y-(-3)=-4(x-8)

y+3=-4(x-8)

y+3=-4x+32

y=-4x+32-3

y=-4x+29

Hence the equation is y=-4x+29 where slope is -4.

Learn more about equation at https://brainly.com/question/2972832

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Determine what type of model best fits the given situation:
The temperature of a cup of coffee decreases by 5 F every 20 minutes.
A. none of these
B. quadratic
C. exponential
D. linear

Answers

Answer:

T = -t / 4 + T0   where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature

This is a linear equation in T and t

(-1 / 4 represents -5 deg / 20 min  = - 1 deg / 4min

The given situation is linear equation in T and t. so option D is correct option.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given situation:

The temperature of a cup of coffee decreases by 5 F every 20 minutes.

T = -t / 4 + T0  

where t is the temperature in minutes elapsed.

T is the final temperature.

T0 is the initial temperature.

We need to find the type of model best fits the given situation.

(-1 / 4 represents -5 deg / 20 min  = - 1 deg / 4min

Therefore, The given situation is linear equation in T and t. so option D is correct option.

Learn more about equations here;

https://brainly.com/question/10413253

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I have 15.00 and I want to go to the movies tickets cost 12.35 how much will I get back plz help

Answers

Answer:

2.65

Step-by-step explanation:

15.00 - 12.35 = 2.65

...I don't really know how do explain it but yeah thats the answer.

Hope it helps c:

Estimate the sum of 7.2 + 7.3 + 6.9 + 6.8.

Answers

Answer:

28

Step-by-step explanation:

7.2 is rounded down to 7, 7.3 is rounded down to 7, 6.9 is rounded up to 7, and 6.8 is rounded up to 7. Then you can add 7+7+7+7 to get an estimation of 28.

What is the equation of the graph ? ILL pay

Answers

Answer:

Step-by-step explanation:

You have it right it is 6^x -3

You have the right idea, but you don't need to type in the "y=" portion since that is already taken care of. So you just need to type in -3 + 6^x

(2.35 x 10^4) – (4.50 x 10^5)

Answers

Answer:

−426500

Step-by-step explanation:

what is the equation of the following line (1,5) and (-1,-5) written in slope-intercept form

Answers

Answer: y = 5x

Step by step process: Use the slope form and then substitute in the equation y = mx + b.

FOR EASY BRAINLIEST:

ANSWER NUMBER: 14.

Answers

Answer:

Step-by-step explanation:

Answer:

y=-3/2x+4

Step-by-step explanation:

Solve for ż in the following equation: 1 - iz=-1 +iz (where i? = -1). Simplify your answer as much as possible.​

Answers

Answer:

z = -i

Step-by-step explanation:

1 - iz=-1 +iz

Add iz to each side

1 - iz+iz=-1 +iz+iz

1 = -1 +2iz

Add 1 to each side

1+1 = -1+1 +2iz

2 = 2iz

Divide by 2

2/2 = 2iz/2

1 =iz

Divide by i

1/i = iz/i

1/i =z

Multiply the left by i/i

i/i^2 = z

i/-1 =z

-i =z

what is 3 over 4 divided by 1 over 6

Answers

The answer is eighteen
3 over 4 of 6 over 1
18 divided by 4
4.5

Identify the slope and y-intercept of each linear function's equation.
y = 3x - 1
slope = 3; y-intercept at -1
x-3=y
slope = -3; y-intercept at 1
y = 1 - 3x
slope = 1; y-interceptat -3
--x+ 3 = y
t
slope = -1; y-intercept at 3

Answers

Step-by-step explanation:

Concerning the peculiar interrogate, I will be providing correction(s) to the following answers inserted:

Y = 3x - 1

Slope = 3

Y-intercept = -1

X - 3 = y

Y = x - 3 <== Slope-Intercept Form.

Slope = 1

Y-intercept: -3

Y = 1 - 3x

Slope: -3

Y-intercept: 1

-x + 3 = y

Y = -x + 3 <== Slope-intercept Form.

Slope: -1

Y-intercept: 3

Thus, the following configurations have been defined or derived from the origin of the proposed interrogated.

*I hope this helps.

PLEASE HELPPPPPP!! I need to find x!!!!

Answers

Here

[tex]\\ \sf\longmapsto \frac{7}{x} = \frac{15}{10} \\ \\ \sf\longmapsto 7 \times 10 = 15x \\ \\ \sf\longmapsto 15x = 70 \\ \\ \sf\longmapsto x = \frac{70}{15} \\ \\ \sf\longmapsto \boxed{ \sf x = 4.6cm}[/tex]

Answer:

i can help you i know this answer

Find the missing part.
Z=

Answers

Answer:

Step-by-step explanation:

To answer this, we need only solve for x and then use Pythagorean's Theorem to find z. We have the length of the hypotenuse which is 15, and we also have the base angle of 60. To solve for x we can use the trig ratio

[tex]cos60=\frac{x}{15}[/tex] and

x = 15cos60 which gives us that

x = [tex]\frac{15}{2}[/tex]

Now we can use Pythagorean's Theorem to find z, the other leg of the big triangle.

[tex](\frac{15}{2})^2+z^2=15^2[/tex] and

[tex](\frac{225}{4})+z^2=225[/tex] and

[tex]z^2=225-\frac{225}{4}[/tex] and getting a common denominator:

[tex]z^2=\frac{900}{4}-\frac{225}{4}[/tex] and

[tex]z^2=\frac{675}{4}[/tex] now we take the square root by simplifying the radical to get

[tex]z=\frac{15\sqrt{3} }{2}[/tex]

and that's what goes into the blanks there, one number per blank.

what is constant in graphing ?

Answers

Answer:

the constant is the number without an x attaches to it.

Ex:

y = 2x + 9

9 is a constant because it is not attached to any x

y = x^3 + 2x^2 + 10x + 19

19 is a constant because it is not attached to any x

True or false..?

In a parallelogram, consecutive angles are supplementary.

Answers

Answer:

True

Step-by-step explanation:

Both pairs of opposite angles are congruent. parallelogram, rectangle, rhombus, square. Both pairs of opposite sides are congruent. parallelogram, rectangle, rhombus, square. All consecutive angles are supplementary. parallelogram, rectangle, rhombus, square. diagonals bisect each other. parallelogram, rectangle, rhombus, square.

Answer:

true

Step-by-step explanation:

any 2 consecutive angles are supplamentary

Find side b, in triangle ABC. if angle B =42 degrees, a=6, c=4

Answers

Answer:

There is no valid value for b

Step-by-step explanation:

We solve the above question using the law of cosines

b² = a² + c² - 2ac × Cos B

B = 42°, a = 6, c = 4

b² = 6² + 4² - 2 × 6 × 4 × Cos 42

b =√6² + 4² - 2 × 6 × 4 × Cos 42

b = √36 + 16 - 48 × Cos 42

Solving the above question, there is no valid value for b

Place the expressions that are equivalent under the corresponding expression in the table.
20
130
3
8.12
- 1)
2:2
12-1
21=-11 # 1 - 2
1212
II + 3)
472
I + 3 2(1 - 1)
-1 2:2
3(12 - 1)
32 – 23 – 3+.

Answers

Answer:

Step-by-step explanation:20

20  130  3  8.12 - 1) 2:2  12-1  21=-11 # 1 - 2 1212 II + 3) 472 I + 3 2(1 - 1) -1 2:2 3(12 - 1) 32 – 23– 3+.

Which of the following is not a real number?

Answers

Answer:

D

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

F(x) = 6x+2, find f (x+3)

Answers

Answer:

6x+20

Step-by-step explanation:

F(x) = 6x+2

f(x+3) means replace x with x+3

F(x+3) = 6(x+3)+2

         = 6x+18+2

         = 6x+20

Answer:

A; F(x+3) = 6x^2 + 20x + 6

Step-by-step explanation:

To find it you just would multiply F(x) onto the other side. So it would look like this:

           F(x+3) = 6x + 2 (x+3)            

          F(x+3) = 6x^2 + 2x + 18x + 6            *combine like terms getting you

           F(x+3) = 6x^2 + 20x + 6    

Hope this helped!!

Shannon buys a table that was priced $700. There is a 8% sales tax in her state. Fortunately, it was 60% off! So she only paid

Answers

Answer:

Total paid: 302.40

Step-by-step explanation:

Price x percent off = amount off

700 x .60 (60%) = 420 amount off

price - amount off = sales price

700 - 420 = 280 sales price

sales price x sales tax rate = sales tax

280 x .08 (8%) = 22.40 sales tax

sales price + sales tax = total paid

280 + 22.40 = 302.40 total paid

Help me with this please I don’t understand

Answers

Answer: IT IS CONGRUENT BY ASA POSTULATE.

Step-by-step explanation:

ACCORDING TO THE GIVEN IMAGE

CONSIDER TRIANGLE 1 AS TRIANGLE ABC AND TRIANGLE 2 AS TRIANGLE PQR

IN TRIANGLE ABC AND PQR

ANGLE B = ANGLE C ( 90 DEGREES )

AC = PR ( GIVEN IN FIGURE )

A TRIANGLE HAS SUM OF INTERIOR ANGLES AS 180 DEGREES

IF ANGLE B AND ANGLE Q ARE 90 DEGREES, ANGLE A + ANGLE C = ANGLE P + ANGLE R

WE HAVE ALREADY PROVED THAT AC = PR

If two triangles have one angle equal to one angle, two sides adjoining the equal angles equal, namely, one side adjoining the equal angles, and one opposite the equal angles, and the remaining angles either both less or both not less than a right angle, then the remaining side equals the remaining side and the remaining angles equal the remaining angles.

SO ANGLE A = ANGLE P

THEREFORE BY ASA CONGRUENCY TRIANGLE ABC IS CONGRUENT TO TRIANGLE PQR

HOPE IT HELPS YOU......

(IF I HAVE MADE ANY MISTAKES PLS COMMENT BELOW)

Factor of 3x^3-x^2-20x-12

Answers

Answer:

(−3)(+2)(3+2)

Step-by-step explanation:

Factor by grouping

Factor by grouping

Factor by grouping

Factor by grouping

(−3)(32+8+4)

Factor by grouping

Factor by grouping

Factor by grouping

Factor by grouping

(−3)(+2)(3+2)

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