The sum of the x-coordinates of the vertices of a triangle in the Cartesian plane equals 10. Find the sum of the x-coordinates of the midpoints of the sides of the triangle.

Answers

Answer 1

The sum of the x-coordinates of the vertices is 3 times the x-coordinate of the centroid. The centroid of the triangle of midlines is the same, so the sum of those x-coordinates will be the same.

The sum is 10.

Related Questions

solve the following proportion equation _X =_4
5 10 do the wholr thing step by step and explain thanks

Answers

The equation to solve is:
[tex] \frac{x}{5}= \frac{4}{10} [/tex]
Step-by-step solution:
1) multiply both sides of the equation by 10:
[tex]10 \cdot \frac{x}{5} = 10\cdot \frac{4}{10}[/tex]
2) simplifying:
[tex]2x = 4[/tex]
3) dividing both terms by 2:
[tex]x= \frac{4}{2}=2 [/tex]
and the solution is x=2.

Hi there!

The Eqn. is :-

[tex]\dfrac {x}{5} = \dfrac {4}{10}[/tex]

=> x = [tex]\dfrac {4}{10}[/tex] × 5

=> x = [tex]\dfrac {4}{2}[/tex]

=> x = 2

Hence, x = 2

~ Hope it helps!

Which figure can be formed from the net?

Answers

definitely the first one i hope this helps u. ( ͡° ͜ʖ ͡°)

The first option for sure

Hope this helps

~ Jordan ~

Danessa needs to compare the area of one large circle with a diameter of 8 to the total area of 2 smaller circles with a diameter one-half that of the large circle. Which statements about the areas are true? Check all that apply.

1.The radius of the large circle is 4.
2.The radii of the small circles are each 2.
3.The radii of the small circles are each 4.
4.The area of one small circle will be one-half of the area of the large circle.
5.The total area of the two small circles will equal that of the large circle.
6.The total area of the two small circles will be one-half of the area of the large circle.

Answers

Answer:

The answer is: 1, 2, and 6

Step-by-step explanation:

Answer with Step-by-step explanation:

Diameter of larger circle=8

Diameter of smaller circles=4

We know that radius is half times the diamketer

and Area=πr² where r is the radius

Radius of larger circle=4

Radius of smaller circles=2

Area of larger circle=π×4²

=16π

Area of two smaller circles=2×π×2²

= 8π=one-half the area of larger circle

Area of one small circle=π×2²

=4π=one fourth the area of larger circle

Hence, the correct options are:

1.The radius of the large circle is 4.

2.The radii of the small circles are each 2.

6.The total area of the two small circles will be one-half of the area of the large circle.

A cylinder has a Height 12 and a radius 3.7 what is it’s volume?

Answers

The formula for the volume of a cylinder is v = π r² h
Let's use 3.14 for π.
Square 3.7 to get 13.69.
Multiply that by 3.14.
v = 42.9866 x 12
Finally, multiply it by 12.
v = 515.8392

You could also express your answer in terms of pi.
Square 3.7 to get 13.69.
Multiply it by 12. 164.28 is what you get.
v = 164.28π

Hope this helps!

All books in a store are being discounted by 40%. let x represent the regular price of any book in the store which expression describes the sale price of a book ?

Answers

To find the sale price we can set up a proportion. 25/100 = x/48. We keep the 100 and 48 both on the bottom of the fraction since they represent the "whole". x represents the discount off the full price of the dress. To solve this proportion, we cross multiply, yielding 48 * 25 = 100x. Alternatively, if you notice that 25/100 ...

Carol has a small copy of a painting. The dimensions of her copy are shown at right. The scale of the copy is 0.5 inches : 12 centimeter.
a.Find the dimensions of the original painting.
b.Find the area of the original painting.
c.One centimeter is equal to approximately 0.033 foot. Find the dimensions of the original painting in feet.
d.Find the area of the painting in square feet. Round to the nearest thousands.
(I'm sorry I don't understand this...can anyone help??..)

Answers

the complete question in the attached figure

we know that
[scale]=0.5/12
[scale]=[copy of a painting]/[original painting]

dimensions copy of a painting--------------> 1.75 in x 5.25 in

for 1.75 in
[original painting]=[copy of a painting]/[scale]
[original painting]=[1.75]/[(0.5/12)]=42 cm

for 5.25 in
[original painting]=[copy of a painting]/[scale]
[original painting]=[5.25]/[(0.5/12)]=126 cm

the answer Part A) is
the dimensions of the original painting are 42 cm x 126 cm

Part B)
Find the area of the original painting.
[area of the original painting]=42*126=5292 cm²

the answer Part B) is
area of the original painting is 5292 cm²

Part C)
One centimeter is equal to approximately 0.033 foot. Find the dimensions of the original painting in feet.

the dimensions of the original painting are 42 cm x 126 cm
then

for 42 cm
if 1 cm----------------> 0.033 ft
42 cm----------------> X
X=42*0.033=1.386 ---------> 1.386 ft

for 126 cm
if 1 cm----------------> 0.033 ft
126 cm----------------> X
X=126*0.033=4.158 --------> 4.158 ft

the answer Part C) is
the dimensions of the original painting in feet are 1.386 ft x 4.158 ft

Part D) Find the area of the painting in square feet. Round to the nearest thousands.

the dimensions of the original painting in feet are 1.386 ft x 4.158 ft
{Area original painting in feet]=1.386*4.158=5.763 ft²

the answer part C) is
the area original painting in feet is 5.763 ft²

The graph show is
A)fails the vertical line test at (2,3) and (2,-2)
B) fails the vertical line test at (2,3) and (-1,3)
C) passes the vertical line test
So the line is
A) a function
B) not a function

Answers

First Answer:
A)fails the vertical line test at (2,3) and (2,-2)

Second Answer:
B) not a function
=========================================

Further Explanation:

It is possible to pass a single vertical line through this red curve. So it is not a function because it fails the vertical line test. One specific line goes from (2,3) to (2,-2) but there are infinitely other lines to choose from. In order to pass the vertical line test, it must be impossible to pass a vertical line through more than one point on the curve. A function is where any given input leads to exactly one output. In the case of (2,3) and (2,-2), the input x = 2 leads to more than one output (y = 3 and y = -2) at the same time

what does these equation equal to [x+x]+[x+x+x]=blank and [x+x+x]+[x+x+x]=

Answers

[x+x] + [x+x+x] = [2x] + [3x] = 5x
[x+x+x] + [x+x+x] = [3x] + [3x] = 6x

Hope this helps :)

Answer:

[x+x] + [x+x+x] = [2x] + [3x] = 5x

[x+x+x] + [x+x+x] = [3x] + [3x] = 6x

Hope this helps :)

How to do this also how to put this in standard form

Answers

I hope the attachment loads right:

Factor 15a^3+ 20a^2- 6a- 8 by grouping

Answers

[tex]15a^3+ 20a^2- 6a- 8[/tex]
= [tex]5a^2(3a+ 4) - 2(3a + 4)[/tex]
= [tex](3a+ 4) (5a^2- 2)[/tex]

What is 4,7,12,19,28 in quadratic sequence

Answers

a[n] = n^2 +3 . . . . .describes the given sequence

Answer:

nth term = x²+3

50th term = 2503

100th term = 10003

Divide £24.50 in the ratio 3:4

Answers

Step 1: Add the ratios

Step 2: Divide the money to be shared by the answer (this gives you the value of 1 share)

Step 3: Multiply the value of 1 share by each bit of the ratio

the answer is the £24.50 in the ratio 3:4 is £10.50:£14.00.

Final answer:

24.50 divided in the ratio 3:4 gives £10.50 and £14.00.

Explanation:

To divide £24.50 in the ratio 3:4, you first need to add the parts of the ratio together, which gives you 3 + 4 = 7 parts in total.

Then, you should divide the total amount of money by the total number of parts to find the value of one part.

In this case, £24.50 ÷ 7 = £3.50 per part.

Since the ratio is 3:4, you multiply the value per part by the number of parts for each portion of the ratio.

For the first part of the ratio, you multiply £3.50 by 3, giving £10.50. For the second part, you multiply £3.50 by 4, giving £14.00.

Hence, £24.50 divided in the ratio 3:4 gives £10.50 and £14.00.

Jill and her children build 8 sandcastles.Click on the first 4 multiples of 8

Answers

8*1=8
8*2=16
8*3=24
8*4=32

8,16,24, and 32 are the first 4 multiples

8
16
24
32
Here are the first 4 multiples of 8

A hot water heater measures 20" in diameter. What is the area of a metal base for the water heater, assuming a 2 inch overhang around the base of the water heater? (Round to the nearest tenth.) square inches.

Answers

If you add the extra 2 inches in each side and give the base a diameter of 24. The area comes out to 452.39. The answer is 452.39.

Area of the metal base of the water heater is equals to 452.6 square inches.

What is area of a circle?

"Area of a circle is the region enclosed by the circle in two dimensional plane."

Formula used

Area of a circle = πr²

Value of π = 22 /7

According to the question,

Given diameter = 20 inches

2 inches extended around the base of the water heater

New diameter = 24 inches

Therefore, radius = 12inches

Substitute the value of radius and π in the formula we get ,

Area of the base of the water heater = ( 22/ 7) ×(12)²

= 452.57 square inches

= 452.6 square inches (nearest tenth)

Hence, area of the metal base of the water heater is equals to 452.6 square inches.

Learn more about area of a circle here

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Barb is making a bead necklace. She strings 1 white bead, then 3 blue beads, then 1 white bead and so on. Write the numbers for the first eight beads that are white. What is a rule for the pattern?

Answers

Final answer:

In Barb's necklace pattern, white beads occur at position numbers 1, 5, 9, 13, 17, 21, 25, and 29. The rule for the pattern is that any white bead will appear at a position that is 4n + 1, where n is any non-negative integer.

Explanation:

The student's question involves determining the position numbers of the first eight white beads in a pattern and identifying a rule for this pattern. The pattern established by Barb is one white bead followed by three blue beads, which then repeats. To find the positions of the first eight white beads, let's enumerate the pattern until we have identified eight white beads.

WhiteBlueBlueBlueWhiteBlueBlueBlueWhite...

As we can see, the white beads appear in a consistent pattern at every fourth position in the sequence. Thus, by listing out the pattern, we can identify the first eight white beads' position numbers as follows:

1591317212529

The rule for the pattern can be described as follows: any white bead will be at a position number that is 1 more than a multiple of 4 (i.e., 4n + 1, where n is a non-negative integer).

Final answer:

The first eight white beads in Barb's necklace pattern are in positions 1, 5, 9, 13, 17, 21, 25, and 29. The rule for the pattern is 4n - 3 for the nth white bead.

Explanation:

Barb is making a bead necklace with a repeating pattern: 1 white bead, followed by 3 blue beads, and then the pattern repeats. To determine the numbers for the first eight beads that are white, we can examine the pattern more closely. Since the pattern begins with a white bead and every white bead is followed by three blue beads, we can deduce that it takes 4 beads in total to complete one cycle of the pattern (1 white + 3 blue).

The positions of the first eight white beads are as follows: 1st, 5th, 9th, 13th, 17th, 21st, 25th, and 29th. The rule for this pattern can be expressed as follows: To find the position of any white bead in the sequence, you can use the formula 4n - 3, where n represents the nth white bead in the sequence.

For example, to find the position of the third white bead, we substitute n with 3 into our formula: 4 * 3 - 3, which equals 9. Therefore, the third white bead is the 9th bead in the overall pattern.

After school,Philipe spent 1 3/4 hours of baseball practice, 2 1/4 hours on homework, and 1/4 hour getting ready for bed.Wich is the most reasonable estimate for how long he spent on his activities:3 hours,4 hours,or 5 hours?Explain

Answers

4 hours. 1 3/4 is about 2, and 2 1/4 rounds to 2. 1/4 would round to 0, but it would not affect the estimate's accuracy much because we rounded up by 1/4 on 1 3/4 already. Philipe spent about 4 hours on activities.

PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)

Answers

The answer is 1000mm

wlh
= 5 x 10 x 20
= 1000

I hope this helps!

A line with a slope of 1/4 passes through the points (9, -8) and (5, d). what is the value for?

Answers

d + 8 = 1/4(x-9)
d + 8 = 1/4x - 9/4
- 8 - 8
------------------------------
d = 1/4x - 17

I just realized that this is not the answer you are looking for. It's an equation, not a value. Sorry about that.

Answer:
d = -9

Explanation:
The slope of the line can be calculated using the following formula:
slope = [tex] \frac{y2-y1}{x2-x1} [/tex]

We are given:
slope = [tex] \frac{1}{4} [/tex]
point (9,-8) representing (x1,y1)
point (5,d) representing (x2,y2)

Substitute with the givens in the above equation and solve for d as follows:
slope = [tex] \frac{1}{4} [/tex]
[tex] \frac{1}{4} [/tex] = [tex] \frac{d-(-8)}{5-9} [/tex]
[tex] \frac{1}{4} [/tex] = [tex] \frac{d+8}{-4} [/tex]
4(d+8) = -4
d + 8 = -1
d = -1 - 8
d = -9

Hope this helps :)

simplify the expression 3 b 7 3b 21

Answers

See picture for answer.

Which answer shows a correct order to solve this story problem? Victor bought 3 sandwiches for $3.25 each, 3 bags of chips for $1.10 each, and a bottle of water for $1.99. He left the waiter a $2.25 tip. How much did Victor spend?

A. Step 1: Add the price of a sandwich to the price of the bottle of water. Step 2: Multiply that total by 3. Step 3: Add the total price of 3 bags of chips to that total. Step 4: Add the tip to the final total for all the items.

B. Step 1: Calculate the total price of the 3 sandwiches. Step 2: Calculate the total price of the 3 bags of chips. Step 3: Add $1.99 to total cost for the sandwiches and chips. Step 4: Add the tip to the final total for all the items.

C. Step 1: Add the price of a sandwich and a bag of chips. Step 2: Add $1.99 to total for the sandwiches and chips. Step 3: Multiply that total by 3. Step 4: Add the tip to the final total for all the items.

Answers

I think it would be c.

I think it would be C

Ms Hendricks is buying a rectangular piece of land that is 2/5 mile on one side and 5/6 mile on an adjacent side. What is the area of the piece of land. help me please I don't get this

Answers

Hi there!

To find the area of an object, we need to multiply the two sidelengths together.

2/5 × 5/6 = 10/30

Now, we simplify.

10/30 = 1/3

So, your answer is 1/3 miles squared.

Hope this helps!

Final answer:

To find the area of Ms. Hendricks' rectangular land, multiply the lengths of the sides (2/5 mile and 5/6 mile), resulting in an area of 1/3 square mile.

Explanation:

The area of a rectangular piece of land is calculated by multiplying the length by the width. For Ms. Hendricks' piece of land, which measures 2/5 mile on one side (length) and 5/6 mile on an adjacent side (width), you would calculate the area by multiplying these two dimensions together:

Convert the fractions to have a common denominator if needed.Multiply the numerators of the fractions to find the numerator of the area.Multiply the denominators of the fractions to find the denominator of the area.Simplify the fraction if possible to find the final area in square miles.

So, the calculation for the area would be:

(2/5) mile * (5/6) mile = (2*5)/(5*6) square miles = 10/30 square miles = 1/3 square mile.

Therefore, the area is 1/3 square mile.

Monica purchased adult and youth tickets for the fair. She bought x adult tickets for $28 each and y youth tickets for $15. Write an expression that can be used to show the total cost, C, of all tickets

Answers

C=28x+15y is the expression!

How do you tell a triangle is not a right triangle

Answers

You can tell when you cant draw an even L shaped figure at the intersects of the bottom and the side. 90 degrees. But there are many different ways that may make more sense. Happy to help:)

Hi! :)

So a right triangle is classified as a right triangle because it has one right angle. You can tell if it's not a right triangle by the angle measurements. If all the angles are above or below 90 degrees, it's not a right triangle. If one of the angles is 90 degrees, it's classified as a right triangle.

Hope this helps!

The sequence an = 1/2 (2)^(n - 1) is graphed below:

coordinate plane showing the points 2, 1; 3, 2; 4, 4; and 5, 8

Find the average rate of change between n = 2 and n = 4.

Answers

The average rate of change of the sequence from n = 2 to n = 4 is 1.5, which is determined by calculating the difference in sequence values for these n values and dividing by the difference in n.

The average rate of change of a function between two points reflects the function's slope between those points. To find the average rate of change of the sequence [tex]a_n = \frac{1}{2} (2)^{n - 1}[/tex]from n = 2 to n = 4, we calculate the differences in the sequence values corresponding to these n values and divide by the difference in n itself.

The value of a_n when n = 2 is [tex]a_2 = \frac{1}{2} (2)^{2 - 1}= 1.[/tex]The value of a_n when n = 4 is [tex]a_4 = \frac{1}{2} (2)^{4 - 1}[/tex]= 4.To find the average rate of change, use the formula: rate of change = [tex](a_4 - a_2)[/tex] / (4 - 2) = (4 - 1) / (4 - 2) = 3/2 = 1.5.

Therefore, the average rate of change between n = 2 and n = 4 for this sequence is 1.5.

i really need help with this question

Answers

g(x) appears to be a vertical expansion of f(x) by a factor of 3. f(x) appears to be
.. f(x) = x²
so g(x) would be
.. g(x) = 3x²

A bakery sells 6 bagels for $2.99 and 4 muffins for $3.29. What is the total cost in dollars for 4 dozens bagels and 16 muffins, not including tax? Need help trying figure how to start solving

Answers

24$ for 4 dozens of bagels
13.16$ for 16 muffins

Since a dozen has 12 in it you can multiply 2.99 by two since that's the cost for six. Then you multiply that amount by 4. For the muffins you need to multiply 3.29 by four. Finally, you take both of those products and add them together to find the total cost.

Curtis build a dog house with base shaped like a cube and a roof shaped like a pyramid. The cube has an edge lenght of 3 1/2 feet. The height of the pyramid is 5 feet. Find the volume of the doghouse rounded to the nearest tenth.

Answers

The volume of the cube is:
V1 = L ^ 3
Where,
L: length of the sides of the cube.
Substituting we have:
V1 = (3 + 1/2) ^ 3
V1 = 42,875 feet ^ 3
The volume of the pyramid is:
V2 = ((Ab) * (h)) / (3)
Where,
Ab: base area
h: height
Substituting we have:
V2 = (((3 1/2) * (3 1/2)) * (5)) / (3)
V2 = 20.41666667 feet ^ 3
The volume of the house is the sum of both volumes:
V1 + V2 = 42,875 feet ^ 3 + 20.41666667 feet ^ 3
V1 + V2 = 63.29166667 feet ^ 3
Nearest tenth:
V1 + V2 = 63.3 feet ^ 3
Answer:
The volume of the doghouse rounded to the nearest tenth is:
V1 + V2 = 63.3 feet ^ 3

When choosing a new class color, 90 students voted for crimson and 60 voted for royal blue. What percent of these students voted for the color crimson?

Answers

The percentage of students voted for colour crimson
=
[tex] \frac{90}{60 + 90} \times 100\% \\ = \frac{90}{150} \times 100\%\\ = \frac{9}{15} \times 100\% \\ = 60\% [/tex]
hope it helps!

A=LW;for L. Solve for the indicated variable. Include all work in the answer.

Answers

A=LW
A divided by W= L divided by W (cancels out)
Answer: A/W = L

Hope this helps! Can I get brainliest? lol

Solving for L , we get A/W= L

What are linear equations ?

Equations of degree 1 are called Linear Equation

To solve the above equation for the variable L . We need to isolate the variable on one side of the equation with the other terms on the other side

Given liner equation :

A= LW

In order to get L , need to isolate L and need to divide whole equation by W

A/W = LW/W

A/W= L

Learn more about Linear Equation

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Write an equation of the line that is perpendicular to y = −4x + 8 and passes through the point (5, 1)

Answers

Hello,

To start, we have to identify the slope of the perpendicular line. Perpendicular lines have opposite reciprocal slopes. Therefore, the slope of our new line will be 1/4.

Now, just substitute in the given point with our new slope and we can solve for B.

y = (1/4)x + b
1 = (1/4)5 + b
1 = 5/4 + b
-1/4 = b

Now that we have the slope and the y-intercept, we can put together our equation.

It is: y = (1/4)x - 1/4

Good luck,
MrEQ

Other Questions

the region called the great plains included the states of Iowa,Minnesota,and virginia.True or false... if its false rewrite it to make it true Part 1: Between the moon and Earth, which has a higher maximum surface temperature?Part 2: Using complete sentences, explain the reason for this. Pepper Jackie has 12 picks. 1 out of every 4 picks is orange . The rest are green. How many picks are orange? What was the U.S. strategy at the beginning of the War of 1812? Why was the League of Nations significant?A. It helped the United States become a major world power.B. It was an effective tool for stopping future wars.C. It helped draft the peace treaties that brought World War I to an end.D. It was the first attempt to create an organization where nations worked together for peace. What is the explicit rule for the sequence?34,26,18,10, an = 26 8nan = 42 8nan = 34n 26an = 34n + 42 What is one of the organizations that allows athletes with disabilities to complete on the world stage?A. Red crossB. Special OlympicsC. Paralympic GamesD. Both B and C___________________________________Womens leagues lack some of the privileges of some of the mens leagues. Some of these disparaties include _______________?A. Sparse crowdsB. Tight budgetsC. No television contractsD. All of the above mark's soup recipe makes 6 servings and uses 4 carrots and 2 potatoes. Drag carrots and potatoes into the box to show how many Mark needs for 15 servings. "An official release from the school indicates that children must "wear a pre-approved uniform to all school activities, including off-campus field trips"Why was it a good idea for the writer to use direct quote in the passage above?A.) Because the quote is too detailed to be paraphrasedB.) Because the quote uses unfamiliar words or ideasC.) Because the quote discusses the activities of childrenD.) Because the quote presents an official statement What are seismic waves? What is their relationship to earthquakes? I need help with how to solve this geometry question! PLEASE! DESPERATELY NEEDED!! A solid steel sphere of density 7.86 g/cm3 and mass 1 kg spin on an axis through its center with a period of 2.3 s. given vsphere = 4 3 r3 , what is its angular momentum? answer in units of kg m2 /s. Polynomials Multiply. 3y(5y3+11y2y+8) Express the answer in standard form. Enter your answer in the box. Pleas help !!!!!The table below shows some values of f(x) and g(x) for different values of x: x f(x) = 2x + 24 g(x) = 5(0.5)x 2 20 1 0 5 1 2.5 2 28 Complete the chart and determine the solution of the equation f(x) = g(x). x = 2 x = 1 x = 1 x = 20 . Ms. Franco earned $709.54 in net pay for working 25 hours. She paid $87.45 in federal and state taxes, and $38.45 in FICA taxes. What was her hourly wage? (Points : 1) $23.35 $28.38 $32.42 $33.42, As Mr. Smith passed out his syllabus, he said, "this is your Bible for the class. Everything we do is outlined in here." This is an example of _______ because it's referring to a popular piece of literature or history. * 1. Following decolonization, turmoil within African countries was MOST often directly related to ___. communism ethnicity gender religion 2. Why might some African countries use a European language as a trade language? They are forced to used it. It is a more common language. The country is still a colony. No one speaks local languages. 3. Which of these tends to be found in each country, but varies greatly depending on the ethnic group? Indigenous Religions Islam Christianity Judaism The perimeter of parallelogram ABCD is equal to 10 cm. Find the length of diagonal BD if you know that the perimeter of triangle ABD is 8 cm.how do you solve it??? thanks y = mx + b Which variable represents the slope? A serving of a certain cereal has 8 grams of sugar in 1 portion. Which equation shows how the amount of sugar and the number of portions are related? The s stands for the grams of sugar and the p stands for the portions of cereal.