Triangle 1 is composed of line segments AB, BC, and CA.
Triangle 2 is composed of line segments DE, EF, and FD.
The triangles are similar with a scale of 5:2.

Select the true statement about the proportions of the sides.

Answer:

Plan A: 1600 homes after 3 years Plan B: 1330 homes after 3 years

Step-by-step explanation:

Plan A.

200x3=600

1000+600=1600

1600 homes after 3 years

Plan B.

10% the first year =100 homes increased

10% the secound year = 110 homes increased

10% the third year = 121 homes increased

1330 homes after 3 years

It would be 1330 for plan B. And plan a 1600.

Answer: b i just took the test

Step-by-step explanation:

Option A is correct,  d - w is a factor of M whose equation is M=nd-nw.

A number system is defined as a system of writing to express numbers.

Given that Byron opened a new bank account and immediately started depositing d dollars per week.

Byron also withdrew w dollars per week to pay expenses.

Byron also withdrew w dollars per week to pay expenses.

The total amount of money in the account, M, after n weeks is represented by the equation M = nd - nw .

M equal to n times of d minus n times of w.

We can factor out the common factor of n from the expression for M

M = nd - nw = n(d - w)

Therefore, n is a factor of M.

Hence, option A is correct,  d - w is a factor of M whose equation is M=nd-nw.

To learn more on Number system click:

https://brainly.com/question/21751836

#SPJ2

Answer:

Driving 275 miles would take Elsa 5 hrs.

Step-by-step explanation:

Write and solve an equation of ratios:

 715 mi         13 hrs

------------- = --------------

 275 mi              x

This leads to:  715x = 13(275), or x = 5 (hrs)

Driving 275 miles would take Elsa 5 hrs.

Answer:

[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]

Step-by-step explanation:

[tex]f(x)=x^2-16[/tex]

To find the inverse of this function, temporarily the f(x) with a y (or whatever else you want) and then solve for the x.

[tex]y=x^2-16\\y+16=x^2\\x=\pm\sqrt{y+16}[/tex]

Now, you can swap the variables again and write the function.

[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]

Answer:

18-3y.

Step-by-step explanation:

3 x 6 = 18

3 x -1y= -3y.

Answer:

18 - 3y

Step-by-step explanation:

3(6-y)

(3)(6) + (3)(-y)

18 + (-3y)

18 - 3y

Answer:

sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]

cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]

tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]

cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]

sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]

csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]

Step-by-step explanation:

If the point is given on the terminal side of an angle, then:

Calculate the distance between the point given and the origin:

r = [tex]\sqrt{x^2+y^2}[/tex]

Here it is: [tex]\sqrt{3^2+1^2}[/tex] = [tex]\sqrt{9+1}[/tex] = [tex]\sqrt{10}[/tex]

So we have:

x = 3

y = 1

r = [tex]\sqrt{10}[/tex]

Now we can calculate all 6 trig, functions:

sin α = [tex]\frac{y}{r}[/tex] = [tex]\frac{1}{\sqrt{10} }[/tex]

cos α = [tex]\frac{x}{r}[/tex] = [tex]\frac{3}{\sqrt{10} }[/tex]

tan α = [tex]\frac{y}{x}[/tex] = [tex]\frac{1}{3}[/tex]

cot α = [tex]\frac{x}{y}[/tex] = [tex]\frac{3}{1}[/tex]

sec α = [tex]\frac{r}{x}[/tex] = [tex]\frac{\sqrt{10} }{3}[/tex]

csc α = [tex]\frac{r}{y}[/tex] = [tex]\frac{\sqrt{10} }{1}[/tex]

Answer:

AB

Step-by-step explanation:

Side AB is in between angle A and angle B. We can tell this because angle A is at one point, and angle B is at the other.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

2.5

Step-by-step explanation:

(8+1/8) = 8.125

(2.5+3/4) = 2.5 + 0.75 = 3.25

8.125 / 3.25 = 2.5

Answer:

y = -1/2x+4

Step-by-step explanation:

y = 2x-1

This equation is in slope intercept form  y = mx+b  where m is the slope

m=2

A line perpendicular will have a slope that is the negative reciprocal

m = -1/2

Using the slope intercept form

y = mx+b

y = -1/2x+b

and the point given (2,3)

3 = -1/2(2)+b

3 = -1+b

4 =b

y = -1/2x+4  is the equation of a line that is perpendicular to the original line and contains (2,3)

Answer:

the answer is e

Step-by-step explanation:

Answer:

Answer is -7

Step-by-step explanation:

coz if -2 equal only  

- answer so answer is

-7

Answer:

-1/8x+3

Step-by-step explanation:

Answer:

y = -1/8x+3

Step-by-step explanation

your slope intercept form should be written as y=mx+b

m = slope = -1/8

y intercept = b = 3

now just replace m and b with your values

y = -1/8x+3

Answer:

B

Step-by-step explanation:

you can break the 78 into 70 and 8, and multiply them separately by 6 and then add the two answers to get 468

The margin of error of the random selection is 0.20

The given parameters are:

[tex]n = 420[/tex] --- the sample size

[tex]\sigma = 1.6[/tex] --- the standard deviation

[tex]\bar x = 10[/tex] --- the mean

[tex]\alpha = 99\%[/tex] --- the confidence level.

The margin of error (E) is calculated as follows:

[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]

So, we have:

[tex]E = z \times \sqrt{\frac{1.6^2}{420}}[/tex]

[tex]E = z \times \sqrt{\frac{2.56}{420}}[/tex]

The z-value for 99% confidence level is 2.576.

Substitute 2.576 for z

[tex]E = 2.576 \times \sqrt{\frac{2.56}{420}}[/tex]

[tex]E = 2.576 \times \sqrt{0.006095}[/tex]

Take square roots

[tex]E = 2.576 \times 0.0781[/tex]

Multiply

[tex]E = 0.2012[/tex]

Approximate

[tex]E = 0.20[/tex]

Hence, the margin of error is 0.20

Read more about margin of error at:

https://brainly.com/question/14396648

Answer:

1.20 divided by 5 is 0.24, so 1.20 plus 2 cans is 1.68

Step-by-step explanation:

this is very blurry. please make sure you pick the answer option that is the exact result of the solution here.

to get the full result, we can split the individual multiplications of fractions apart, simplify the individual fractions, and then simply connect them again :

-9/-15 = 3/5

x^‐1/x⁵ = 1/x¹x⁵ = 1/x⁶

y^-9/y^-3 = y³/y⁹ = 1/y⁶

so, by multiplying all 3 parts together again we get

3/(5x⁶y⁶).

I suspect this is the second answer option, but please make sure.

Answer:

c. is correct answer I think

Step-by-step explanation:

there is no diagram here.

I assume that the race track is a rectangle in the middle and two half-circles at the left and right ends, and that the length of the rectangle is D = 2R. which makes the rectangle actually a square, as the width is the diameter of the (half-)circles, which is also 2R.

Sonic ran the track 5 times in 10 seconds with a speed of 321 m/s.

that means he ran 10×321 m in 10 seconds = 3210 m.

so, 5 times the track is 3210 m, which means that the track itself is 3210/5 = 642 m long.

and based on the assumptions above the track consists of 2 times the length of the rectangle (or square), and the full circumference of a circle with radius R (2 half-circles make one full circle).

we know the formula for the circumference of a circle :

2×pi×radius

so, we have then

642 = 2×2R + 2×pi×R = R×(4 + 2×pi)

R = 642 / (4 + 2×pi) = 62.43201701...

and when using the requested "cut-off" pi = 3.14, we get

R = 642 / (4 + 2×3.14) = 62.45136187...

and that is rounded 62.5

so, the second answer option is correct.

Answer:

-27

Step-by-step explanation:

18 + x = -9

subtract by 18 on both sides

x = -27

You can check this by...

18 - 27 = -9

I hope this helps!!

this is your answer hope it's helpful for you

Answer:

B)16(2+3) is equivalent to 32+48

[tex]\huge \bf༆ Answer ༄[/tex]

Let's find the slope considering the points (9 , 7) and (6 , 15)

Answer:

7 square feet

Step-by-step explanation:

There are seven squares, one is 1 square foot

7x1=7

Answer:

x = 103

Step-by-step explanation:

Using the far right intersection, we can figure out that in inner angle is 32 degrees.

32 + 34 = 66 which is the angle of the left side of the middle cross.

x = 37 + 66 = 103

Answer:

10$

Step-by-step explanation:

dollars hope it helps

Answer:

its 10$

Step-by-step explanation: