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.

Step-by-step explanation:

step 1. let Mason = m and Tatum = t

step 2. m = 3x + 4 ($3/month and one time $4)

step 3. t = 1x + 20 ($1/month and one time $20)

step 4. 3x + 4 = x + 20 (set equations equal)

step 5. 2x = 16 (collect like terms)

step 6. x= 8 (answer: 8 months)

Answer:

(x,y)=(6,-8)

x=6, y=-8

Step-by-step explanation:

There are many was to answer this question, some are substitution and elimination. I am going to use the substitution method.  

Your system of equation is 5x+3y=6 and -3x-3y=6

5x+3y=6

-5x  -5x

3y=6-5x

Now you substittion the first equation to the sencond one. It will look like:

-3x-(6-5x)=6

-3x-6+5x=6

2x-6=6

+6    +6

2x=12

Divide both sides by 2 and you get

x=6

Now lets substiton x inot the orgianl equation.

-3(6)-3y=6

-18-3y=6

+18    +18

-3y=24

Divide both sides by -3

y=-8

So, the answer is x=6, y=-8

Answer:

12in

Step-by-step explanation:

2r = 24

r = 12

Answer:

12 in.

Step-by-step explanation:

The radius is half of the diameter.

r = d/2

r = 24/2

r = 12

Answer:

Step-by-step explanation:

The midpoint between two points is the average of the coordinates.

mp=((x2+x1)/2, (y2+y1)/2)

In this case we are given one end point and the midpoint.

Just look at the x coordinate first.

If the mid x is 8 and the x from j is 10 we have

(10+x)/2=8

10+x=16

x=6, now for the y for j when y=6 and mid y of 5

(6+y)/2=5

6+y=10

y=4

So the coordinates of K are (6,4)

Answer:

I think its Z (-5, 7)

Step-by-step explanation:

Here :)

The coordinates of Z is (7, -5).

Given that, Z'(5, -7) is the image of Z after a reflection in the line y=x.

We need to find the coordinates of Z.

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

So, the coordinates of Z become (7, -5).

Therefore, the coordinates of Z is (7, -5).

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Answer:

Yes, that's correct.

Step-by-step explanation:

Step-by-step explanation:

Hope it helped

pls mark BRAINLIEST

Answer: Lol, do your homework.

Answer:

SAS

Well I took geometry last year so I don't know how to explain it well but when you move from each Angle/Point it wouldn't make sense for it to be SSS, or AAS, or any other one since there is only one given angle which is 90 degrees and its in between the sides.

Answer:

50

Step-by-step explanation:

Answer: 50%

Step-by-step explanation:

Answer:

D.. I think..hope it helps

Answer:

Circumference: 12pi or 37.7

Area: 36pi or 113.1

Step-by-step explanation:

C = 2(pi)r

C = 2 * pi * 6

C = 12pi or 37.7

A = (pi)r^2

A = pi * 6^2

A = 36pi or 113.1

Step-by-step explanation:

There are two page above i think it be useful

Thanks for this question :)

Answer:

[tex]6x^{2} + 7x - 20[/tex]

Step-by-step explanation:

Answer: -5, 1: -5, 2: -8, 1

Step-by-step explanation: Just flip it on the other side

Answer:

(2,5)

(1,5)

(1,8)

Step-by-step explanation:

The reflection line y = x does the following to the coordinates:

(x , y) --> (y , x)

The coordinates swap places.

(5,2)  --> (2,5)

(5,1)   --> (1,5)

(8,1)   --> (1,8)

Answer:

Bill is 9.80 km apart from Concert

Step-by-step explanation:

It's given in the question,

m∠B = 75°

m∠C = 45°

By triangle sum theorem,

m∠A + m∠B + m∠C = 180°

m∠A + 75° + 45° = 180°

m∠A = 180° - 120°

m∠A = 60°

By sine rule,

[tex]\frac{\text{sin}(\angle A)}{BC}=\frac{\text{sin}(\angle C)}{AB}[/tex]

[tex]\frac{\text{sin}(60)}{BC}=\frac{\text{sin}(45)}{8}[/tex]

BC = [tex]\frac{8\text{sin}(60)}{\text{sin}(45)}[/tex]

     = 9.80 km

Therefore, Bill is 9.80 km apart from Concert.

Answer:

True

Step-by-step explanation:

Answer:

We conclude that:

Step-by-step explanation:

Given the function

[tex]f(x) = 11 - 6(x - 8)[/tex]

Important Tip:

substitute x = -3 in the equation

[tex]f(x) = 11 - 6(x - 8)[/tex]

[tex]f(-3) = 11 - 6(-3 - 8)[/tex]

[tex]f\left(-3\right)\:=\:11-\left(-66\right)[/tex]

[tex]f\left(-3\right)\:=\:11+66[/tex]               ∵ Apply rule  -(-a) = a

[tex]f\left(-3\right)=77[/tex]

Therefore, we conclude that:

Answer:

to find the solution, we substitute y = x + 4 into the other equation.

-3x + (x + 4) = 2

-3x + x + 4 = 2

-2x = 2 - 4

-2x = -2

x = 1

to find y, we substitute x to the x variable in the y equation.

y = 1 + 4

y = 5

therefore, when combined, it is (1,5).

Answer: The number is 192

Step-by-step explanation:

Answer:

8,640

Step-by-step explanation:

One foot is 12 inches, so a square foot would be 144 inches (12×12 -> l×w) So, you would multiply 60 by 144, and you would get 8,640 square inches.

7,4 ×10^ -5

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

Step-by-step explanation:

If diameter=4cm,then radius=4÷2=2cm

Area of a circle=πr²

=3.14×2²

=3.14×4

=12.56cm²

Per

Let's simplify step-by-step.

−7x2−6x+9−7x2−6x+9

=−7x2+−6x+9+−7x2+−6x+9

Combine Like Terms:

=−7x2+−6x+9+−7x2+−6x+9

=(−7x2+−7x2)+(−6x+−6x)+(9+9)

=−14x2+−12x+18

Answer:

=−14x2−12x+18

Let's simplify step-by-step.

−3x2−x+7−3x2−x+7

=−3x2+−x+7+−3x2+−x+7

Combine Like Terms:

=−3x2+−x+7+−3x2+−x+7

=(−3x2+−3x2)+(−x+−x)+(7+7)

=−6x2+−2x+14

Answer:

=−6x2−2x+14

Answer: -10x^2-7x+16

Step-by-step explanation: (-7x^2-6x+9)+(-3x^2-x+7)  

-7x^2-6x+9-3x^2-x+7

Nothing to distribute.

Combine like terms:

Final Answer: -10x^2-7x+16

Answer:

324

Step-by-step explanation:

Step 1: Multiply: 9 * 10 =90

Step 2: Multiply: 2 *102 =204

Step 3: Multiply: 3 * 10

Step 4: Add: 90 + 204 + 30 = 324

Hope this helps.

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

8?

x=−2x=-2 (Multiplicity of 22)

x=4x=4 (Multiplicity of 11)

Answer: B i guess

Step-by-step explanation:

The hypotenuse side XY of given right angle at Z is [tex]5\sqrt{2}[/tex].

Given that in triangle XYZ :

∠X=45°

∠Y=45°

XY=5

And right angled at Z, that is, ∠Z=90°.

Since, ∠X=∠Y=45°

Therefore, XZ=YZ=5

Now,

[tex]\sin \theta = \dfrac{hypotenuse}{opposite}[/tex].

Here, θ=45°.

Therefore,

[tex]\sin \theta=\dfrac{5}{XY}\\\\\sin 45\°^=\dfrac{5}{XY}\\\dfrac{1}{\sqrt{2} } =\dfrac{5}{XY}\\\\XY=5\sqrt{2}[/tex]

Thus, the side XY=[tex]5\sqrt{2}[/tex].

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