In trapezoid TRAP, the parallel bases are TP and RA
Is UV the midline of trapezoid TRAP? Why or why not?

Use the Trapezoid Midline Theorem that states the properties of
the midline of a trapezoid to justify your answer.

Answer:

We have:

If:

Cos(θ) + Sin(θ) = √2*cos(θ)

We want to prove that:

Cos(θ) - Sin(θ) = √2*Sin(θ)

Well, let's start with the first relation:

Cos(θ) + Sin(θ) = √2*cos(θ)

Now we can subtract 2*Sin(θ) and we will get:

Cos(θ) + Sin(θ) - 2*Sin(θ) = √2*cos(θ) - 2*sin(θ)

Cos(θ) - Sin(θ) = √2*cos(θ) - 2*sin(θ)

Now, we also can rewrite the first equation as:

Cos(θ) + Sin(θ) = √2*cos(θ)

Cos(θ) - √2*cos(θ) = -  Sin(θ)

Cos(θ)*( 1 - √2) = -Sin(θ)

Cos(θ) = -Sin(θ)/( 1 - √2) = Sin(θ)/(- 1 + √2)

We can replace this in the right side of theequation:

Cos(θ) - Sin(θ) = √2*cos(θ) - 2*sin(θ)

Cos(θ) - Sin(θ) = √2* Sin(θ)/(- 1 + √2) - 2*sin(θ)

Cos(θ) - Sin(θ) = (√2/(- 1 + √2) - 2)*Sin(θ)

Now we have this:

√2/(- 1 + √2)) - 2 = a

if we multiply all by (-1  + √2) we get:

√2 - 2*(-1  + √2) = a*(-1  + √2)

√2  + 2 - 2*√2 =  a*(-1  + √2)

2 - √2 = a*(-1  + √2)

√2*(√2 - 1) = a*(-1  + √2)

√2*(√2 - 1)/(-1  + √2) = a

√2 = a

Then:

√2/(- 1 + √2)) - 2 = √2

If we replace this in the equation:

Cos(θ) - Sin(θ) = (√2/(- 1 + √2) - 2)*Sin(θ)

We get:

Cos(θ) - Sin(θ) = √2*Sin(θ)

Which is the thing we wanted to get.

Please find attached herewith the solution of your question.

If you have any query, feel free to ask.

Answer:

x-2y = 8

-2y = -x + 8

y = x/2 - 4

y intercept: (0, -4)

slope: 1/2

3x-2y = 12

-2y = -3x + 12

y = 3x/2 - 6

y intercept: (0, -6)

slope: 3/2

I assume I would graph with the following points (0,-4) and (4,0) for the second one I assumed I would graph the following points (0,-6) (6,0). I think I have confused the actual points in which I am to graph. Could you please tell me if I am graphing the correct points? I do not have the ISBN for this book becasue it is an online class. Thanks and have a great day!!

Step-by-step explanation:

Answer:

2p should be the correct answer!

Answer:

2p is the answer

Step-by-step explanation:

I took the answer edg2021

Answer:

The answer is A

Step-by-step explanation:

Answer:

10% is shaded

Step-by-step explanation:

it goes to 10% only

Answer:

f =

x = 13 = x

k = x

p = x

Step-by-step explanation:

Answer:

that depends tbh

Answer: umm well... i answer for the council of boys and your answer is  basically anything XD

Step-by-step explanation:

have a good day lad :)

Answer:

the answer would be B the answer would be B

1/4t - 3s-5/12t

the common denominater is 12t so divide by 12t mu

3t-3st-5t/12t

3t-5t-3st/12t

-2t-3st/12t

Answer:

Step-by-step explanation:

Admission for adults is 12 dollars. Admission for kids is eight dollars.One day 575 people entered the cave paying 5600 how many adults into the cave

Answer:

19 is your answer right answer

Answer:

19

Step-by-step explanation:

9+10= 19

hope it helps

:p

Answer:

[tex]24\pi \: cm {}^{2} [/tex]

Step-by-step explanation:

The area of a cone is

[tex]\pi \times r {}^{2} + \pi \times r \times \sqrt{ {r }^{2} + {h}^{2} } [/tex]

The volume of the conical paper cup will be option (D) 24π

The steps are as follow:

r = base radius = 3 cm

h = height of cone = 8 cm

V = volume of cone = (1/3)πr²h.

V = (1/3)π*3²*8.

V = 24π

So, the volume of the conical paper cup will be option (D) 24π

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Answer:

both the first one

Step-by-step explanation:

use unit rate

Answer:

I attached a pic

Step-by-step explanation:

Hope it helps you!!!

Answer:

8x - 1

Step-by-step explanation:

3x +5x - 1

8x - 1

This is correct

Answer:

8x-1

PLZ MARK AS BRAINLIEST

Step-by-step explanation:

3x+5x−1 =

(3x+5x)-1 =

8x-1

Answer:

-4

Step-by-step explanation:

According to the rules of the distributive property, you have to multiply the term outside of the parentheses with the terms inside the parentheses first.

1. 2(-5)=-10    

2. 2(3)=6

The terms that we have are now -10 and 6. Add them together to get the final answer.

-10+6=-4

Answer:

1) 3x

2) 3m - 2n

Answer:

below

Step-by-step explanation:

3x, 3 m − 2 n

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Volumes.

Volume = base area * Height

hence, here,

base area = 1/2(3)(4)

base area = 6 sq. inches,

now volume = 6 * height

==> Volume = 6*11 = 66 cubic inches

====> hence the volume of the triangular prism is 66 cubic inches.

Actually Welcome to the Concept of the Volumes.

Volume = base area * Height

hence, here,

base area = 1/2(3)(4)

base area = 6 sq. inches,

now volume = 6 * height

==> Volume = 6*11 = 66 cubic inches

====> hence the volume of the triangular prism is 66 cubic inches.

Answer:

[tex]\boxed {\boxed {\sf b=60 \ meters}}[/tex]

Step-by-step explanation:

This is a right triangle because of the small square in the corner representing a 90 degree angle.

Therefore, we can use the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

Where a and b are the legs and c is the hypotenuse.

80 and b are the legs, because they form the right angle. 100 is the hypotenuse because it is opposite the right angle.

[tex]a=80 \\b=b \\c=100[/tex]

[tex](80)^2+b^2=(100)^2[/tex]

Solve the exponents.

[tex]6400+b^2=10000[/tex]

Solve for the unknown by isolating the variable. First, subtract 6400 from both sides.

[tex]6400-6400+b^2=10000-6400\\b^2=3600[/tex]

Take the square root of both sides.

[tex]\sqrt {b^2}= \sqrt {3600}\\b=60 \\b= 60 \ m[/tex]

The missing leg is 60 meters.

Answer:

If there were 25% fewer sunny days this year, then the answer would be 75%. This is because there are(100-25)% of the sunny days this year compared to last year.

Let me know if this helps!

Answer:

Answer:

Simplify the expression.

2n⁵−2n⁴+3n+3

Answer:

Ross initially owed 5625. the y intercept is 0,3500. Part of the answer.

There are x and y-intercepts that would be  5625 and 45 respectively for the given equation.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Ross borrows $5625 to buy a car. He pays back $125 each month which is given in the question.

The equation y = 5625 - 125x represents the amount Ross owes y after x months

⇒ y = 5625 - 125x

To determine the y-intercepts of the equation,

We have to substitute x = 0 in the equation

⇒ y = 5625 - 125(0)

⇒ y = 5625

To determine the x-intercepts of the equation,

We have to substitute y = 0 in the equation

⇒ 0 = 5625 - 125x

⇒ 125x = 5625

⇒ x = 45

Hence, there are x and y-intercepts that would be  5625 and 45 respectively for the given equation.

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Answer:

100=r55+j

Step-by-step explanation:

100=nickels

r55=robert with 55 nickels

j=jeremy

boy needs to get some nickels like dang

Answer:

let 'x' = # nickels Jeremy has

55 + x = 100

Step-by-step explanation:

Answer:

13/12

Step-by-step explanation:

Answer:

12/13

Step-by-step explanation:

remember it's adj/hyp so it would be 36/39. When simplified it becomes 12/13.

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, translation, rotation and dilation.

Dilation is the increase or decrease in size of an object.

Given the vertex matrix of quadrilateral ABCD as:

[tex]\left[\begin{array}{cccc}-1&5&5&-4\\2&5&3&-1\end{array}\right][/tex]

Therefore the vertex of quadrilateral ABCD is at A(-1, 2), B(5, 5), C(5, 3) and D(-4, -1).

Quadrilateral ABCD is dilated by a scale factor of 3 to produce quadrilateral A'B'C'D'.

Hence, the vertex matrix of quadrilateral A'B'C'D' is:

[tex]3\left[\begin{array}{cccc}-1&5&5&-4\\2&5&3&-1\end{array}\right]=\left[\begin{array}{cccc}-3&15&15&-20\\6&15&9&-3\end{array}\right][/tex]

Therefore the vertex of quadrilateral A'B'C'D' is at A'(-3, 6), B'(15, 15), C'(15, 9) and D'(-20, -3).

The correct option is figure A

Answer: D

Step-by-step explanation:

♡ The Question/Task ♡        

-What is the mean absolute deviation of her quiz scores?    

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Answer ♡        

-I believe the answer should be, 17!    

I apologize in advance if this is incorrect! ♡    

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Explanation/Step-By-Step ♡        

-No Explanation/Step-By-Step Provided!        

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ Tips ♡        

-No Tips Provided!

Answer:

B. Yes

Step-by-step explanation:

Answer:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points

Answer:

To the find slope in slope-intercept form (y=mx+b) you just find the m of the equation for example: y=4x+8 the 4 is the slope since it is replacing the m

To find the slope in two points (x1,y1) (x2,y2) follow this formula

y2-y1/x2-x1

For example: Find the slope of (4,9) and (9,19)

19-9/9-4 Which is 10/5 simplify: 2

The slope is 2

Step-by-step explanation: