The graph shows △ABC and the midpoints for each segment.


What statements showing the medians of a triangle meet at a point are TRUE?

A.
The equation of the lines of the medians are x=0, y=−x+8, and y=x.

The ordered pair solution of each pair of system of equation is (0,8).


B
The equation of the lines of the medians are x=0, y=−x+8, and y=x.

The medians do not meet at one point for this triangle because one equation is a vertical line.


C
The equation of the lines of the medians are y=3x, y=4, and y=−3x+8.

The ordered pair solution of each pair of system of equation is (43,4).


D
The equation of the lines of the medians are y=3x, y=4, and y=−3x+8.

The medians do not meet at one point for this triangle because two equations have opposite slopes.

Answer:

The value of n = 7

Step-by-step explanation:

=> 3n-4=17

=> 3n = 17+4

=> 3n = 21

=> n = 21/3

=> n = 7

Answer:

n=7

Step-by-step explanation:

1. Solve

3n-4=17

3n-4+4=17+4

3n=21

3n/3=21/3

n=7

2. Check

3x7-4=17

21-4=17

17=17

Correct!
3. Answer

n=7

The worth of the car after it is paid off 5 years later given the rate of exponential depreciation is $32,842.34.

When the car declines in value, it means that the car is depreciating. The formula that can be used to determine the value of the car with the depreciationn rate is:

FV = P (1 - r)^n

$42,000 x (1 - 0.048)^5 = $32,842.34

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Answer:

the scale factor is 6

scale factor:

length of image ÷ length of original

Here:

Answer:

270 Markers

Step-by-step explanation:

5 x 54 = 270

(sorry if I'm wrong)

Answer:

Given equation:

[tex]\left(\dfrac{1}{27}\right)^x=3^{(-4x+6)}[/tex]

27 can be written as [tex]3^3[/tex]

Also [tex]\dfrac{1}{a^b}[/tex] can be written as [tex]a^{-b}[/tex]

[tex]\implies \dfrac{1}{27}=\dfrac{1}{3^3}=3^{-3}[/tex]

Therefore, we can rewrite the given equation with base 3:

[tex]\implies (3^{-3})^x=3^{(-4x+6)}[/tex]

To solve, apply the exponent rule [tex](a^b)^c=a^{bc}[/tex]

[tex]\implies 3^{-3 \cdot x}=3^{(-4x+6)}[/tex]

[tex]\implies 3^{(-3x)}=3^{(-4x+6)}[/tex]

[tex]\textsf{If }a^{f(x)}=a^{g(x)}, \textsf{ then } f(x)=g(x)[/tex]

[tex]\implies -3x=-4x+6[/tex]

Add [tex]4x[/tex] to both sides:

[tex]\implies x=6[/tex]

Answer:

0.143 tonnes

Step-by-step explanation:

1000 / 7 = 142.857143

= 143 kg

= 0.143t

Answer:

Step-by-step explanation:

The labels on the axes of the graph tell you the meaning of the coordinates of a point on the graph. The ordered pair lists the horizontal coordinate first. The horizontal axis is labeled hours, and the vertical axis is labeled miles.

The point (hours, miles) = (1.5, 75) means Kurt drove 75 miles in 1.5 hours.

__

You can find the miles driven in 1 hour by reading the graph at the horizontal coordinate 1 hour. You find that is 50 miles. The 1 represents 1 unit, so the "unit rate" is 50 miles in 1 hour. Such a rate is also called a "speed" of 50 miles per hour.

If Kurt had driven fewer miles in an hour, the points on the graph would all have smaller vertical coordinates. The unit rate (slope) would be less than 50 miles per hour.

Answer:

C

Step-by-step explanation:

First, let's work out the two triangles:

Area of triangle: bxh/2

2 x 8/2 = 8

Because there is two triangles multiply 8 by 2 = 16

To work out the area of the central rectangle:

Area of rectangle: l x w

3 x 8 = 24

Add 16+24 = 40 square feet

Answer:

8 inches

Step-by-step explanation:

You first divide 240 by 3 which is 80

Then you find what number is 2 less than the other number that is you multiplied together you get 80

And we know that 8 × 10 = 80

There for the :-

Width is 8 in

Length is 10 in

Hight is 3 in

The proof is if you multiply all of them you have to get 240

And if you multiply 8, 10, and 3 you get 240

Answer:

y = 4

Step-by-step explanation:

Given:

[tex]-12=-3y[/tex]

Solve:

[tex]\mathrm{Divide\:both\:sides\:by\:}-3[/tex]

[tex]\frac{-3y}{-3}=\frac{-12}{-3}[/tex]

[tex]\mathrm{Simplify}[/tex]

Note: Negative + Negative = positive

y = 4

~lenvy~

Answer:

$13.50

Step-by-step explanation:

if the total is $31.50, it is both the blouse and the skirt together, so uf you take away the blouse from the total ($31.50 - $18) then yiu are keft with the price of the skirt

Correct Statements:

1) The unit rate for green pencils is $0.32

2) The blue pencils are priced less per pencil.

Step-by-step explanation:

Green pencils:

Given that,

4 green pencils = $1.28

Divide 4 to both sides

1 green pencil = $1.28 / 4

1 green pencil = $0.32

Blue pencils:

Given that,

24 blue pencils = $5.52

Divide 24 to both sides

1 blue pencil = $5.52 / 24

1 blue pencil = $0.23

Blue pencil is priced less per pencil when compared to green pencil.

[tex]\rule[225]{225}{2}[/tex]

Answer:

1,620

Step-by-step explanation:

L x W x H

L = 15

W = 12

H = 9

15 x 12 = 180

180 x 9 = 1620

Step-by-step explanation:

must be at least 100m, and the rectangle width, also known as twice the circle radius, must be less than or equal to 60m. That would make for a relatively normal-shaped track

The perimeter of the track is 464 m

The length around an object is called its perimeter.

Given that, a rectangle with semicircles at two ends. there is a running track around the perimeter of the field.

The dimension of the rectangle are 100 m and 64 m

The distance between the outer an dthe inner track is 10 m,

The diameter of the outer semicircles is 64+10+10 = 84 m

Therefore, is radius = 42 m

The perimeter of the outer semicircle = 2×π×radius

= 2×3.14×42

= 264 m

The length of the two straight lines = 100 + 100 = 200 m

Therefore, total perimeter of the whole track = 200+264 =464 m

Hence, the perimeter of the track is 464 m

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The figure for this question is:

Answer:

[tex]\frac{1}{2}-\frac{1}{6}=\frac{3}{6}-\frac{1}{6 }=\frac{2}{6} =\frac{1}{3}[/tex]

Step-by-step explanation:

To complete the steps:

[tex]\frac{1}{2}-\frac{1}{6}=\frac{3}{6}-\frac{1}{6 }=\frac{2}{6} =\frac{1}{3}[/tex]

I think the question you are answering a question that does not require simplification so ignore the last bit (= 1/3)

Answer:

12

Step-by-step explanation:

Convert the 3 liters into milliliters and then divide it normally or in the fraction way

Answer: Division of Equality

Step-by-step explanation: In this equation, using division, we can find what y is by dividing 5 on both sides. Y equals to 15.

Answer:

ok so we have to make it so we can get rid of one of the varibles by adding or subtracting

so lets multiply the first one by 4

120x+16y=4160

minus the second one so

108x=2160

divide by 108

x=20

then we just plug in

12(20)+16y=2000

240+16y=2000

-240

16y=1760

divide by 16

y=110

(20,110)

Hope This Helps!!!

When given three side lengths:

      --> the three sides lengths that can form a triangle are the ones where

      the sum of two side lengths of a triangle is always greater than the

      third side

Thus the choice that fits the requirement is choice (C).

Hope that helps!

Answer:

c. 2x.

Step-by-step explanation:

16x2 - 14x

Common factor of 16 and 14 =  2'

for x2 and x it is x,

Answer: 2x.

Answer: Square is a 17*17. Ok so its 121-25=96

Step-by-step explanation:

96

Using proportions, it is found that:

A proportion is a fraction of a total amount.

In this problem, the directors share one-third of the profit, hence:

18000/3 = 6000

6000/2 = 3000.

That is, each director gets 6000.

The remaining 18000 - 6000 = 12000 will be shared equally by the 24 employees, hence:

12000/24 = 500

Each employee gets 500.

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Answer:

187

Step-by-step explanation:

a=12,d=17-12=5

nth term =a+(n-1)d

36th term=12+(36-1)5

=12+(35×5)

12+175

36th term=187

The value of 36th term is 187.

An orderly sequence of numbers known as arithmetic progression (AP) has a constant difference between any two consecutive numbers. Additionally known as arithmetic sequence.

abbreviated as AP, a mathematical sequence in which the difference between two consecutive terms is always constant.

Given series

12, 17, 22,.....

since the series is in AP because the difference between any two consecutive numbers is equal,

17 - 12 = 5 and 22 - 17 = 5

for nth term of AP

aₙ = a₁ + (n - 1)d

where a₁ = 12, n = 36, d  =5

a₃₆ = 12 + (36 - 1)5

a₃₆ = 12 + 35 × 5

a₃₆ = 12 + 175

a₃₆ =  187

Hence 187 is the 36th term.

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Answer: sin is negative, cos is positive

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin0= 0.8

Step-by-step explanation:

this answer is that correct

brain lest

If 365 of her masks are on the wall, and 27% of her masks are in the display case. Then 467 marks are the total number of masks in Lily's collection

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Lily keeps masks in a display case and the rest on the wall.

365 of her masks are on the wall.

27% of her masks are in the display case

We need to find what is 27% of 365 to solve this problem

27/100×365=0.27×365

=98.55

Now we need to find  the total number of masks in Lily's collection

365+98.55

463.55

467

Hence, 467 are total number of masks in Lily's collection.

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I believe that x is equal to 6. x=6

Answer:

Well I got your 1 mistake.

3 + 3 + 3 + 3 = 12 should be of diagram B not A.

hope it helps.......

Answer:

3/4

Step-by-step explanation:

You didn't simplify it it can go down to 3/4