W is the midpoint of VX and Z is the midpoint of VY . If XY=p and WZ=p–30, what is WZ?

W Is The Midpoint Of VX And Z Is The Midpoint Of VY . If XY=p And WZ=p30, What Is WZ?

Answers

Answer 1

[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]

You'll have to know : Mid-point theorem states that A straight line segment joining the mid-points of any two triangle is parallel to the third side and it is equal to half of the length of the third side.

We're provided : XY = p , WZ = p - 30 & we're asked to find out the value of WZ. For that , firstly we have to find out the value of p.

[tex] \large{ \tt{❁ \: LET'S \: START }: }[/tex]

Set up an equation & solve for p :

[tex] \large{ \bf{☄ \: p - 30 = \frac{1}{2} p }}[/tex]

[tex] \large{ \tt{↦ \frac{1}{2} p = p - 30}}[/tex]

[tex] \large{ \tt{↦ \frac{1}{2} p - p = - 30}}[/tex]

[tex] \large{ \tt{↦ \frac{p - 2p}{2} = - 30 }}[/tex]

[tex] \large{ \tt{↦p - 2p = - 60}}[/tex]

[tex] \large{ \tt{ ↦ \: - p = - 60}}[/tex]

[tex] \large{ \tt{↦p = 60}}[/tex]

The value of p is 60

[tex] \large{ \tt{❇ \: REPLACING \: VALUE}} : [/tex]

[tex] \large{ \tt{↬ \: wz = p - 30 = 60 - 30 = \boxed{\boxed{ \tt{30 }} }✔}}[/tex]

Hence , WZ = 30 .

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Related Questions

NEED HELP FAST!!!! PLEASE HELP!!

Answers

Answer:

AB: 3

BC: 5

CD: 3

DA: 5

Step-by-step explanation:

You’re welcome

Hey nejeke disk Keke henr ejekeneu disheveled woke

What is the minimum value of the objective function, C with given constraints? C=5x+3y {⎨x+3y≤9 {5x+2y≤20 {x≥1 {y≥2

Answers

Answer:

The answer is below

Step-by-step explanation:

Plotting the following constraints using the online geogebra graphing tool:

x + 3y ≤ 9         (1)

5x + 2y ≤ 20    (2)

x≥1 and y≥2      (3)

From the graph plot, the solution to the constraint is A(1, 2), B(1, 2.67) and C(3, 2).

We need to minimize the objective function C = 5x + 3y. Therefore:

At point A(1, 2): C = 5(1) + 3(2) = 11

At point B(1, 2.67): C = 5(1) + 3(2.67) = 13

At point C(3, 2): C = 5(3) + 3(2) = 21

Therefore the minimum value of the objective function C = 5x + 3y is at point A(1, 2) which gives a minimum value of 11.

plz help me it worth 50% of my grade tell wethere it’s proportional of not

Answers

Answer:

2) is not proportional, 3) is not proportional, 5) is proportional, 6) is not proportional.

Step-by-step explanation:

Number 2 is not proportional since it doesn't go through the origin on the graph and the line is not a straight line.

Number 3 does not go through the origin, so number 3 is also not proportional.

Number 5 is proportional since when you divide y by x, it is always 7.

Number 6 is not proportional because when you divide y by x or x by y there are not the same answers.

Which situation has a probability of 1/2?

A. picking the number “5” from the integers 1 to 10

B. rolling an odd number on a fair 6-sided number cube

C. randomly choosing the letter “s” from the word “Mississippi”

D. randomly choosing a boy out of a class containing 8 boys and 12 girls

Answers

Answer:

a

Step-by-step explanation:

1/2 of 10 is 5

Answer: b

Step-by-step explanation:

there are 6 numbers on a regular dice. 3 even, 3 odd

Calcula el área de un rombo cuya diagonal mayor mide 10 cm y cuya diagonal menor es la mitad de la mayor.

Answers

Respuesta:

25 cm²

Explicación paso a paso:

El área A de un rombo tiene:

A = pq / 2

Donde pyq son las diagonales

Tomando p como la diagonal más grande = 10 cm

Diagonal más pequeña, q = 1/2 * 10 = 5cm

Por lo tanto, el área del rombo es:

A = (10 * 5) / 2

A = 50/2

A = 25 cm²

help hgfgghchjhgfuutfifiuiffiy

Answers

Answer:

105, n+5

Step-by-step explanation:

add five to each input

The graph of y = e^x is transformed as shown in the graph below. Which equation represents the transformed
function?

Answers

Answer:

B

Step-by-step explanation:

y=e^x+3

The width of a rectangle is represented by 2x and the length is represented by x2-x+ 3. Which expression represents the area of the rectangle?​

Answers

Answer:

2x^3-2x^2+6x

Step-by-step explanation:

The area of a rectangle is

A = l*w

A = ( x^2 -x+3) * (2x)

Multiply

A = x^2 *2x -x*2x +3 *2x

A = 2x^3-2x^2+6x

Pedro sale en bicicleta a velocidad constante desde La Romana hacia Santo Domingo a las 10 A.M. Una hora mas tarde se encuentra a 109 km de La Romana sabiendo que la distancia de Santo Domingo a La Romana es de 130 km

V: velocidad
T: tiempo
D: distancia

V= D/T

Answers

Answer:

Pedro está circulando a 21 km por hora, y llegará a destino a las 16:12 hs.

Step-by-step explanation:

Dado que Pedro sale en bicicleta a velocidad constante desde La Romana hacia Santo Domingo a las 10 A.M, y una hora mas tarde se encuentra a 109 km de La Romana, sabiendo que la distancia de Santo Domingo a La Romana es de 130 km, para determinar la velocidad a la cual Pedro está circulando y a qué hora llegará a destino se debe realizar el siguiente cálculo:

130 - 109 = 21 km por hora

130 / 21 = 6.19

1 = 60

0.19 = X

0.19 x 60 = 11.4

Por lo tanto, Pedro está circulando a 21 km por hora, y llegará a destino a las 16:12 hs.

Find the gradient of the line segment between the points (-3,2) and (4,4).

Answers

Answer:

slope = [tex]\frac{2}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (4, 4)

m = [tex]\frac{4-2}{4-(-3)}[/tex] = [tex]\frac{2}{4+3}[/tex] = [tex]\frac{2}{7}[/tex]

Answer:

= 2

7

Step-by-step explanation:

slope = y2 - y1

x2 - x1

=4 - 2

4 - -3

= 2

7

y - 4 = 2

x - 4 7

7(y - 4) = 2(x - 4)

7y - 28 = 2x - 8

7y = 2x - 8 + 28

7y = 2x + 20

7 7 7

Gradient = 2

7

Determine if the points A(1,-3), B(4,4), and C(5,8) are collinear.
0 Yes
Ο Νο.
O We do not have enough information to solve this problem.

Answers

Answer:

no

Step-by-step explanation:

since;

(4--3)/(4-1)≠(8-4)/(5-4)

Select all expressions that are
equivalent to 8x + 2 – (4x — 2)
(Select all that apply.)
8x + - 4x + 2 + 2
8x + 2 – 4x – 2
8x - 4x + 2 – 2
8x + 2 + - 4x - -2
8x + 4

Answers

Answer:

a) 8x + - 4x + 2 + 2

d) 8x + 2 + - 4x - -2

Step-by-step explanation:

Solving for the above expression

8x + 2 – (4x — 2)

Step 1

Expand the brackets

8x + 2 - 4x + 2

Step 2

Collect like terms

8x - 4x + 2 + 2

Step 3

4x + 4

Therefore, the expressions that are

equivalent to 8x + 2 – (4x — 2)

a) 8x + - 4x + 2 + 2

d) 8x + 2 + - 4x - -2

What are plane shapes

Answers

Answer:

A plane shape is a two-dimensional closed figure that has no thickness. A plane in geometry is a flat surface that extends into infinity in all directions. It has infinite width and length, zero thickness, and zero curvature.

Answer:

A closed two dimensional or flat shape figure is called plane shape.

find the measure of angle TFM​

Answers

Answer:

130°

Step-by-step explanation:

angle TFM + angle MFD = 180° (being a linear pair)

or, 4m + 142° +2m + 56°= 180°

or, 6m= 180°- 198°

or, m= -18°/6

so, m= -3°

now, angle TFM = 4m +142°= -12°+142°= 130°

Solve the system of equations – 2x + y = –8 and 4x– 6y = –24 by combining
the equations.

Answers

Answer:

4

Step-by-step explanation:

Multiply the second equation by −2 to get −4x − 12y = −48.

Step-by-step explanation:

Given:

4x + y = 4 (1)

2x + 6y = 24 (2)

Multiply the second equation by −2 to get −4x − 12y = −48.

4x + y = 4 (1)

−4x − 12y = −48 (3)

Variable x can be eliminated by adding the equations

4x + (-4x) + y + (-12y) = 4 + (-48)

4x - 4x + y - 12y = 4 - 48

0 - 11y = -44

-11y = -44

Divide both sides by -11

y = -44/-11

= 4

This Bar Chart shows the number of computers sold each month at a local computer store during one year.

Which measure(s) of central tendency can be used to determine the average number of computers sold each month?

A. the median
B. the mean
C. the mean and the median
D. the mode

Answers

the mean because you take all the numbers and add them together. take the sum of all the terms and divide it by the number of terms. that should give you your average amount of computers sold each month.
it would be the mean bc medians doesn’t make sense and there’s no definitive mode

in the diagram find angle mQR

Answers

Answer:

[tex]mSQR=1/2m~SR\\[/tex]

[tex]75=1/2m~SR[/tex]

[tex]mSR=150[/tex]

[tex]360=SR+QR+QS[/tex]

[tex]mQR=360-150-133[/tex]

[tex]mQR=77[/tex]

[tex]So, B ~ is ~ your~ answer[/tex]

-----------------------

hope it helps...

have a nice day!

Find the area of the figure. (Sides meet at right angles.)

Answers

Answer:

28 square feet

Step-by-step explanation:

the bottom rectangle has side lengths 10x2 and the top rectangle has side lengths 4x2.

10x2=20

4x2=8

20+8=28

The perimeter of a rectangle is 10 feet, and the area is 6 square feet. What is the width of
the rectangle?

Answers

Hello,

Perimeter of a rectangle : 2 * (length + width)

Area of a rectangle : length * width

We know that the perimeter of the rectangle is equal to 10 feet and its area is equal to 6 square feet.

Let's call x the length of the rectangle and y the width of the rectangle. The pair (x ; y) verifies the following system :

2 (x + y) = 10 ⇔ x + y = 5 ⇔ x = 5 - y

x * y = 6 ⇔ (5 - y) * y = 6 ⇔ 5y - y² - 6 = 0 ⇔ y² - 5y + 6 = 0

⇔ y² - 3y - 2y + 6 = 0 ⇔ y(y - 3) - 2(y - 3) = 0 ⇔ (y - 2)(y - 3) = 0

y = 2 ou y = 3

x = 5 - y ⇔ x = 5 - 2 or x = 3 - 2 ⇔ x = 3 or y = 2

S = {(3 ; 2) ; (2 ; 3)}

The width of the rectangle is 2 or 3 feet.

:-)

Please help fast!!
What is an equation of the line that passes through the point (-8,0) and is parallel to the line x+2y=14?

Answers

Answer:

y=-1/2x-4

Step-by-step explanation:

Hi there!

We're given the equation x+2y=14 and we want to find a line that is parallel to it and passes through (-8,0)

Parallel lines have the same slopes, but different y intercepts.

So let's find the slope of x+2y=14

we do this by converting x+2y=14 from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept).

for x+2y=14, to convert to slope-intercept form, start by subtracting x from both sides

2y=-x+14

divide both sides by 2

y=-1/2x+7

so the slope of x+2y=14 is -1/2

The slope of the new line (the one parallel to x+2y=14 and passes through (-8,0) will also have a slope of -1/2).

Here's the equation of that line so far:

y=-1/2x+b

we need to find b (y intercept)

as the equation will pass through (-8,0), we can use it to solve for b

substitute -8 as x and 0 as y

0=-1/2(-8)+b

multiply

0=4+b

subtract 4 from both sides

-4=b

substitute into the equation

y=-1/2x-4

Hope this helps! :)

find the domain f(x)=√x-6

Answers

The domain of the square root function is:

x ≥6

How to find the domain of the square root function?

Remember that for any function y = f(x), we define the domain as the set of the possible inputs of the function. That is, the set of the possible values of x.

Here we have the square root function:

f(x) = √(x - 6)

Now, remember that the argument of a square root must be zero or larger, then to find the domain we need to solve:

x - 6 = 0

x = 6

Then the domain is the set of all the values equal to or larger than 6.

The domain is: x ≥6

Learn more about domain at:

https://brainly.com/question/1770447

#SPJ1

Brainliest, 40 points

Answers

(4a³+6a²-10a-4)+(6a²+a²+a+7)

(4a³+6a³)+(6a²+a²)+(-10a+a) + (-4+7)

10a³+7a²-9a+3

OPTION D is the correct answer

Answer:

option d is the correct answer

I hope it helped U

stay safe stay happy

Explain why angle “a” must be 135

Answers

Because (n-2)/n *180 that’s they mentioned a regular octagon so.. (8-2)/8*180 degree will give you 135 degree.. l hope it helped???

find the area of the given rectangle
a length= 25.8m
breadth = 14.5 m​

Answers

Answer:

A =374.1 m^2

Step-by-step explanation:

Area of a rectangle is

A = l*w

A = 25.8*14.5

A =374.1 m^2

Answer:

Area of rectangle is 374.1 m ²

Step-by-step explanation:

Given That :-Length of rectangle = 25.8 mBreadth of rectangle = 14.5 m

To Find :- Area of rectangle

Formula Used :-

Area of rectangle = Length × Breadth

Solution : -

Using Formula

Area of rectangle = Length × Breadth

substitute the values.

Area of rectangle = 25.8 m × 14.5 m

multiply, we get

Area of rectangle = 374.1 m ²

Therefore, the area of rectangle is 374.1 m ²

Solve for x.

5x – 10 > 20 or 5x – 10 ≤ –15

Answers

For the one it

X>6


For the second one it’s x ≤ −1

Which system of linear inequalities is represented by the graph?

y > x – 2 and y < x + 1
y < x – 2 and y > x + 1
y < x – 2 and y > x + 1
y > x – 2 and y < x + 1

Answers

The system of linear inequalities is represented by the graph is y < x – 2 and y > x + 1

The equation of a line is expressed as y = mx + b

m is the slope of the lineb is the y-intercept

For the blue line;

m = 1

Since the line cuts the line at y = 1, hence the y-intercept is 1

The required equation of the red line will be y > x + 1

For the red line;

m = 1

Since the line cuts the line at y = -2, hence the y-intercept is -2

The required equation of the red line will be y < x - 2

Hence the system of linear inequalities is represented by the graph is y < x – 2 and y > x + 1

Learn more on inequality graph here: https://brainly.com/question/9774970

Answer:

B Or y < x – 2 and y > x + 1

Step-by-step explanation:

y < x – 2 and y > x + 1

Given the function f(x) = −5x^2 − x + 20, find f(3).

Answers

Answer:

f(3) = -28

Step-by-step explanation:

f(3) = -5(3²) - 3 + 20

= -5(9) - 3 + 20

= -45 - 3 + 20

= -48 + 20

= -28

I need help Please and thank you

Answers

Answer:

Brett baseball went higher

Step-by-step explanation:

his maximum is a vertical that exceeds 80

State what additional information is required in order to know that the triangles are congruent for the reason given

Answers

The answers to the bottom two: 19 is C and 20 is A

PLz solve quick i need help asap. : )

Answers

Answer:

20 degrees

Step-by-step explanation:

the two angles must be congruent

4x - 23 = 2x + 17

2x = 40

x = 20

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