Geometric proofs of segments
Again..
Given: B is the midpoint of AC
C is the midpoint of BD
Prove: AD=3AB

This one hurts to look at

Answer:

1/16m^2 -2*1/4m*2n+4n^2

If you want to write it in more simple picture :

1/16m^2 -mn +4n^2

Answer:

[tex]\left(\frac{1}{4}m-2n\right)^2=\frac{m^2}{16}-mn+4n^2[/tex]

Step-by-step explanation:

Given the polynomial

[tex]\left(\frac{1}{4}m-2n\right)^2[/tex]

Expanding and simplifying

[tex]\left(\frac{1}{4}m-2n\right)^2[/tex]

as 1/4 = 4/m, so

[tex]=\left(\frac{m}{4}-2n\right)^2[/tex]

Apply perfect square formula:  [tex]\left(a-b\right)^2=a^2-2ab+b^2[/tex]

[tex]=\left(\frac{m}{4}\right)^2-2\cdot \frac{m}{4}\cdot \:2n+\left(2n\right)^2[/tex]

simplifying

[tex]=\frac{m^2}{4^2}-mn+2^2n^2[/tex]

[tex]=\frac{m^2}{16}-mn+4n^2[/tex]

Therefore,

[tex]\left(\frac{1}{4}m-2n\right)^2=\frac{m^2}{16}-mn+4n^2[/tex]

Answer:

x = 4

Step-by-step explanation:

Using the sine ratio in the right triangle and the exact value

sin45° = [tex]\frac{1}{\sqrt{2} }[/tex]

sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

[tex]\sqrt{2}[/tex] x = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

x = 4

Answer:

55,300

Step-by-step explanation:

Every year it goes up 2,400

2,400x4=9,600

9,600+45,700=

55,300

Answer:

try 4 inches

Step-by-step explanation:

since the diameter is 8 inches, then we can do 82 to find the radius, or 4 inches.

Answer:

answer: 32

Step-by-step explanation:

2+5*6

=32

Answer:

t=18.7

Step-by-step explanation:

After 19.2 year the account reach $45,600.

The cost of borrowing money is called interest, and it is typically stated as a percentage, such as an annual percentage rate (APR). Lenders may charge interest to borrowers for using their funds, or borrowers may charge interest to lenders for using their funds.

We have,

P =$16, 000

R= 5.6%

Future value = $45, 600.

Now, using

16,000 (1 + 5.6%[tex])^x[/tex] = 45,600

(1 + 5.6%[tex])^x[/tex] = 2.85

Taking log on both side we get

x log (1.056) = log (2.85)

x= 19.2

Thus, the time taken is 19.2 years.

Learn more about Interest here:

https://brainly.com/question/22739288

#SPJ2

Answer:

the second one

Step-by-step explanation:

Answer22:22

Step-by-step explanation:

Answer:

y=-5x+3

Step-by-step explanation:

5x+y=3

sub 5x from each side

y=-5x+3

Answer:

The inequality describes all possible value of x is 14 < x < 32 ⇒ D

Step-by-step explanation:

In any triangle:

In the given figure

∵ ABC is a triangle

∵ AC = 9 and BC = 21

∵ AB is the third side of the triangle

→ By using the rules above

∴ BC - AC < AB < BC + AC

∵ AB = x - 2

→ Substitute their values in the inequality above

∵ 21 - 9 < x - 2 < 21 + 9

∴ 12 < x - 2 < 30

→ Add 2 to the 3 terms

∴ 12 + 2 < x - 2 + 2 < 30 + 2

∴ 14 < x < 32

∴ The inequality describes all possible value of x is 14 < x < 32

Answer:

eish

Step-by-step explanation:

shhsjsbsbebsjushehbsjejdudushebeisius I'm sorry

Answer:

The population of last year was 60.

Step-by-step explanation:

From the information given, as you know that the number of fish in a lake decreased by 25% between last year and this year, the amount of fish this year represents 75% of last year's population as: 100%-25%=75%. With that, you can use a rule of three to find last year's population tha would represent 100% given that 75% is equal to 45 fish.

75%   →  45

100%  →   x

x=(100*45)/75= 60

According to this, the answer is that the population of last year was 60.

Answer:

$9.55

Step-by-step explanation:

4/100=0.04

0.04x9.95=0.40

9.95-0.40=9.55

4% of 9.95 is 0.398, so you would add about $0.40 to the original amout.

Answer:

The equation of the line in slope-intercept form is:

y = 3/5x + 5

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Taking two points

Taking two points (-5, 2) and (5, 8) to determine the slope

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-5,\:2\right),\:\left(x_2,\:y_2\right)=\left(5,\:8\right)[/tex]

[tex]m=\frac{8-2}{5-\left(-5\right)}[/tex]

Refine

[tex]m=\frac{3}{5}[/tex]

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 5

Thus, the y-intercept b = 5

now, substituting b = 5 and m = 3/5 in the slope-intercept form of the line equation

y = mx+b

y = 3/5x + 5

Therefore, the equation of the line in slope-intercept form is:

y = 3/5x + 5

Step-by-step explanation:

the option that you've chose.

it's the correct answer!

have a good day :)

Answer:

The answer is D. number 4.

Answer:

10

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

Answer:

-4, 2, -1

Step-by-step explanation:

everything is being multiplied by -1/2

32 × -1/2 = -16

-16 × -1/2 = 8

So 8 × -1/2 = -4

Answer:

The angle the aero plane makes with the horizontal is approximately 20.925°

Step-by-step explanation:

The given parameters are;

The distance the aero plane flies = 5.6 km

The elevation to which the aero plane flies = 2 km

The angle the path of the aero plane as it takes off makes with the horizontal, θ, is the angle opposite the altitude of the right triangle formed by the aero plane's path (the hypotenuse), the horizontal, and the line drawn from the final position of the aero plane, representing the altitude (the opposite leg to angle θ)

By the trigonometric ratio for the sin of the angle, θ, we have;

[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length} = \dfrac{2 \ km}{5.6 \ km} = \dfrac{2}{5.6}[/tex]

Therefore, the angle θ the aero plane makes with the horizontal is given as follows;

[tex]\theta = arcsin \left (\dfrac{2}{5.6} \right ) \approx 20.925 ^{\circ}[/tex]

The angle the aero plane makes with the horizontal ≈ 20.925°.

Answer:

The scale factor is 1 to 3

Step-by-step explanation:

Here, we want to determine the dilation scale

As we can see we have a dilation of 9 to 27

The ratio here will be;

9 to 27

which is 1 to 3

Answer:

x = 8, y = 4

Step-by-step explanation:

y = x - 4

y = -0.5x + 8

y = y

x - 4 = -0.5x + 8

x + 0.5x = 8 + 4

1.5x = 12

x = 12/1.5

x = 8

To get "y" substitute the 8 for the "x" value in any of the two equations (they will both give the same answer.)

y = (8) - 4

y = 4

OR

y = -0.5(8) + 8

y = -4 + 8

y = 4

Answer:

1. 15 (A)

2. 12 (G)

Step-by-step explanation:

1.  We can make an equation out of this...

    3x+3=48

    x is the age of Geoff which is what we are trying to find out

    We have to add 3 to both sides of the equation

    3x+3=48

         -3   -3

     ________

    we end up with 3x=45

     we then have to divide 3 by both sides because its the opposite of                

     multipling

    3x=45

    _____

         3

    we get x=15

2.   We can write a problem statement  

      (2 x 9)-6=?

       multiply 2 and 9 FIRST

       18-6=?

       your answer is 12

      Your Welcome! Have a great rest of your day! :)

Answer:

Hi! The correct answer is o {(-4,5), (0, 2), (2,5)}!

Step-by-step explanation:

~To find a function look at the x values, if the x values don't repeat then it is a function~

Answer:

there is no work?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(0,-5)

Step-by-step explanation:

This is the y intercept I graphed it

Answer:

(0,-5)

Step-by-step explanation:

3y-5x=-15

Add 5x on both sides

3y=5x-15

Divide each side by 3

y=5/3x-5

y=mx+b

b is the y-intercept

b=-5

Therefore (0,-5) is the answer

Answer:

2

Step-by-step explanation:

Hope this helps!! Have a blessed day!

Answer:

1 + 1 = 2

Step-by-step explanation:

This is because if you count on your fingers one and one, you get two. I hope this helps!!

Answer:

c. m

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

It is wise to remember Slope-Intercept Form as it tell us how to graph a linear equation and tells us specific things about the line itself.

Answer:

the slope of the line is m

Step-by-step explanation:

why m?

because as you see in the equation

y=mx+b this means y-b/x = m

as you know slope is ∆y/∆x =m

it is the same as the first one .

Answer:9

Step-by-step explanation:

dk

Answer:

its 0.642857 pls tell me if im wrong lol srry if it is