Similar Triangles

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

a. 4/15 = 5/12 = 4/15
b. 4/5 = 12/15 = 4/5
c. 4/12 = 5/15 = 1/3
d. 5/4 = 15/12 = 5/4

Please select the best answer from the choices provided

Answer:

{(7, 3), (8, 1), (9, 1), (10, 2)}

Step-by-step explanation:

Options are missing for this given problem, however, let's find the ordered pairs that should belong to the function shown by the mapping above:

We have the x-values (inputs) on our left while the corresponding y-values (outputs) are on our right.

The ordered pairs (x, y) are as follows:

{(7, 3), (8, 1), (9, 1), (10, 2)}

Answer:

y=6

Step-by-step explanation:

the equation that relates x and y is y=30(1÷x)

Answer:

11. Expression

12. Equation

13. Equation

14. Expression

15. Equation

Step-by-step explanation:

Expression:

Has no equal sign.

Equation:

Has equal sign.

11. 2 + 5

14. X + 25

Those which do not have the equal sign are expressions.

12. 2 + 5 = 7

13. 4x = 12

15. 16 - 6 = 10

Those with the equal sign are equations.

Answer:

[tex] \frac{(x - 2)(x + 2)}{x - 8} [/tex]

reflection, then translation

Answer:2+6+2+1+3+2+1+1+3+0+4+2=27

27 divided by 12=2.25

Hello there I hope you are having an great day :) A chocolate milk container in the form of a rectangular prism is 5 cm long, 3 cm wide, and 9 cm high. How many cubic centimetres of chocolate milk can it hold?

V = L x W x H

Volume = length x Width x Height.

V = (5cm) (3cm (9cm)

V = 135cm^3

Therefore, the chocolate milk container can hold 135 cubic centimetres. Hopefully that helps you :)

Answer:

4 weeks

Step-by-step explanation:C. 5 weeks 90+48 138

88+40 138

Step-by-step explanation:

s

Answer:

B

Step-by-step explanation:

the dimensions of the rectangle when its area is 9cm^2

Answer:

C; x*3

Step-by-step explanation:

Answer:

x = -2, y = 3.

as an ordered pair it is (-2, 3).

Step-by-step explanation:

y= 2x + 7

y= -4x - 5

As both right hand expression are = y we have:

2x + 7 = -4x - 5

6x = -12

x = -2

Substitute for x in equation 1:

y = 2(-2) + 7 = 3.

Answer:

The probability is [tex]\frac{729}{100000}[/tex].

Step-by-step explanation:

probability of missing the bus = 1/10

Probability of catching the bus = 1 - 1/10 = 9 /10

So, the required probability is

[tex]\frac{9}{10}\times \frac {9}{10}\times \frac {1}{10}\times \frac {9}{10}\times \frac {1}{10}[/tex]

[tex]\frac{729}{100000}[/tex]

Answer:

4.17%

Step-by-step explanation:

Rate = interest earned / (principal x time)

70 / (4 x 420) = = 0.0417 = 4.17%

Answer:

3x + 2y = 5y + 2x -11

-3x                 -3x

2y = 5y -x -11

-5y   -5y

-3y = - x - 11 (divide by -3)

y = - x - 11/3

Answer:

f(-4) = -14

Step-by-step explanation:

f(x) = 2x – 6

Let x = -4

f(-4) = 2*-4 -6

f(-4) = -8-6

f(-4) = -14

Answer:

The answer is -14

Step-by-step explanation:

f(-4) = 2(-4) - 6

= -8 - 6

= -14

Answer:

D. 36.56 cm²

Step-by-step explanation:

The composite figure is composed of a rectangle and two semicircles.

The two semicircles makes 1 full circle.

Thus:

Area of the composite figure = area of rectangle + area of circle

= L*W + πr²

L = 6 cm

W = 4 cm

r = ½(4) = 2 cm

Area = 6*4 + π*2²

Area = 24 + 12.56

Area = 36.56 cm²

Answer: 74 inches

Step-by-step explanation:

Since we are given the equation of the regression line for the son's height y to be:

y = 0.5x + 38

where,

x = father's height = 72 inches

Then, we put the value of x into the equation and this will be:

y = 0.5x + 38

y = 0.5(72) + 38

y = 36 + 38

y = 74 inches

Therefore, the son is 74 inches.

24x⁶ and 18x⁴ —> 6x⁴

30x³y⁵ and 25 x²y —> 5x²y

Answer:

The relationship between weeks and the total amount is:

[tex]y=10x[/tex]

Step-by-step explanation:

We have here a linear relationship between weeks and the total amount. The equation of a line is:

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

Where:

We need two points to find the slope.

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

Let's use any pair points from the plot.

[tex]m=\frac{60-40}{6-4}[/tex]

[tex]m=10[/tex]

And we also see that the y-intercept is 0, therefore the equation will be:

[tex]y=10x[/tex]

I hope it helps you!

Answer:

y=10x and Over 4 weeks, Aurora saves $40

Step-by-step explanation:

Answer:

I'm guessing 60

Step-by-step explanation:

84% sure tho

Answer:

n=14

Step-by-step explanation:

2x14=28-3=25

25/5 = 5

Answer: the required sample size = 155

Step-by-step explanation:

If the standard deviation of the prior study is known, then the formula to compute required sample size:

[tex]n=(\frac{z^*\times\sigma}{E})^2[/tex], where E = Margin of error, z* = Critical value, [tex]\sigma[/tex] =  populion standard deviation.

Given: E = 3.7 , [tex]\sigma=28[/tex]

Critical value for 90% confidence = 1.645

Required sample size: [tex]n=(\frac{1.645\times28}{3.7})^2[/tex]

[tex]n=(12.4486486486)^2\approx155[/tex]

Hence, the required sample size = 155

f ( x ) = 3x - 1

g ( x ) = 2x - 3

_____________________

g ( x ) = f ( 2 )

2x - 3 = 3(2) - 1

2x - 3 = 6 - 1

2x - 3 = 5

2x - 3 + 3 = 5 + 3

2x = 8

2x ÷ 2 = 8 ÷ 2

x = 4

The given triangle is a Right angled triangle,

By applying trigonometry :

[tex] \boxed{\tan( \theta) = \frac{opposite \: \: side}{adjacent \: \: side} }[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:80

Step-by-step explanation: I am not 100% sure this is right but what i did was 75 - 15 =60, 60/75 in percentage is 80%

Answer:

put them on the points

Step-by-step explanation:

Answer:

-3 1/4 is the answer for this question

5+4+7+2=18

18-2=16

16/18

88% chance of selecting a marble that isnt white

Answer:

8/9

Step-by-step explanation:

P(white) = (2) ÷ (5+4+7+2) = (2)/(18) = 1/9

P(not white) = 1 - P(white) = 1 - 1/9 = 8/9

Answer:

100/100

Step-by-step explanation:

XD