Triangle RST has coordinates R(0, -6), S(-2, -2) and T(8, -4). Triangle RST is dilated by a scale factor of 1/2 and then rotated 180°. What are the coordinates of the image after both transformations?

Answer:

Angles: ∠ABC ∠BAC ∠ACB ∠CBA ∠CAB ∠BCA ∠A ∠B ∠C

Sides: AB BA AC CA CB BC

The line is suppose to go over the sides indicating its a segment but I couldn't find the symbol for that

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

Answer:

3/8 = 9/24

1/3 = 8/24

-1/3 is closer to 0

3/8 is farther from 0

Answer: The answer is 1.5

Step-by-step explanation: First you want to add 5x + x which equals 6x. Then you want to add -5+-4 which = -9. Then you add 9 to the -9 to get rid of it. But you have to do it on both sides so you add 9+0 which =9. Finally you divide 9 by 6 which equals 1.5

Answer:

Starnes 2.9

Step-by-step explanation:

Answer: 18x+16 cm

Step-by-step explanation:

Combine the like terms. 9x+9x = 18x and 8+8=16

Answer:

y = -5/3x + 6  

Step-by-step explanation:

A line parallel to it would have the same slope which is -5/3 so then you can plug in the points you were given and find b for the line parallel which would be 1 = -5/3(-3) + b and that would simplify into 6 = b so then you know your y intercept and you can now plug it in for the new equation y = -5/3 + 6

Answer:

x = 62.23 ft

y = 47.67 ft    

Step-by-step explanation:

Answer:

12 ft!!

Step-by-step explanation:

can u pls mark me brainliest?

Answer:

x=12 ft

Step-by-step explanation:

4/5=x/15

Multiply 5 and x to get 5x, then multiply 4 and 15 to get 60, then you're left with the equation 5x=60. Divide both sides of the equation by five to get 12 :D.

Answer:

x = 20

4x = 80°

5x = 100°

Step-by-step explanation:

The given angles are supplementary so their sum is 180°

4x + 5x = 180

9x = 180 divide both sides by 9

x = 20

The value of the angle marked 4x = 4 × 20 = 80°

The value of the angle marked 5x = 5 × 20 = 100°

Answer:

80°, 100°

Step-by-step explanation:

The 2 angles are same- side interior angles and are supplementary, thus

4x + 5x = 180

9x = 180 ( divide both sides by 9 )

x = 20

Thus

4x = 4 × 20 = 80°

5x = 5 × 20 = 100°

Answer: C

You can use the formula x = -b / 2a to find the axis of symmetry.

Answer:

6 visits will it take for the costs to be the same

Step-by-step explanation:

The form of the linear relation is y = m x + b, where

Assume that the number of visits is x, and the total cost is y

∵ Alice’s Athletic Arena requires members to pay $20 to join

→ That means there is an initial amount of $20

∴ b = 20

∵ The members must pay $1.50 for each time they come to work out

→ That means there is a cost for every visit (rate of change)

∴ m = 1.5 dollars/visit

∵ The number of visits = x

∵ The total cost is y

→ Form the linear equation for this situation

∴ y = 1.5x + 20 ⇒ (1)

∵ Roy’s Romper Room requires members to pay $5 to join

∴ b = 5

∵ The members must pay $4 for each time they come to work out

∴ m = 4 dollar/visit

→ Form the linear equation for this situation

∴ y = 4x + 5 ⇒ (2)

∵ The costs to both are the same

→ That means, equate the right sides of (1) and (2)

∴ 1.5x + 20 = 4x + 5

→ Subtract 20 from both sides

∴ 1.5x + 20 - 20 = 4x + 5 - 20

∴ 1.5x = 4x - 15

→ Subtract 4x from both sides

∵ 1.5x - 4x = 4x - 4x - 15

∴ -2.5x = -15

→ Divide both sides by -2.5

∴ x = 6

∴ 6 visits will it take for the costs to be the same

Answer:

The total would be 40.53

Or

Solve for the first variable in one of the equations, then substitute the result into the other equation.

x  =  3  −  4 y

Step-by-step explanation:

This question is incomplete so

9514 1404 393

Answer:

  about 9.80 cm

Step-by-step explanation:

The length of half the segment (h) can be found from the Pythagorean theorem:

  h² +5² = 7²

  h² = 7² -5² = 49 -25 = 24

  h = √24 = 2√6

This is half the segment length, so the whole segment length is ...

  L = 2h = 2(2√6)

  L = 4√6 ≈ 9.7980

The length of the segment is 4√6 ≈ 9.80 cm.

Answer:

D = 0.5 + 20x + 0.5v

Step-by-step explanation:

Initial distance covered d1 = 0.5km

If she rode a bicycle for x hours at an average speed of 20 kilometers per hour, then her distance during thus period is,;

Speed = Distance/Time

Distance d2 = speed × time

d2 = 20x

If she ran for 0.5 hour at an average speed of v kilometers per hour, her distance this time will be;

Distance d3 = 0.5v

If her total distance is D, then;

D = d1+d2+d3

D = 0.5 + 20x + 0.5v

Hence an equation that relates D, x, and v is D = 0.5 + 20x + 0.5v

Answer:

x=-4 y=3

Step-by-step explanation:

this is what the girl said in the comment section :) so i plugged them into the equation and she was right

Answer:

thank you!

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

n - 3.5 = 12.7

n=16.2

Step-by-step explanation:

n - 3.5 = 12.7, to solve add 3.5 to both sides

n = 12.7 + 3.5

n=16.2

Answer:

has to be

Step-by-step explanation:

the first one

Answer:

18x = 12y =132

Step-by-step explanation:

Answer: The base is 17 meters long, and the height is 12 meters.

Step-by-step explanation:

The area of a triangle is:

A = b*h/2

where:

b = base

h = height.

For this particular triangle, we have that:

b = 5m + h

A = 102 m^2 = b*h/2

We can replace the first equation into the second one:

b*h/2 = 102 m^2

(5m + h)*h/2 = 102 m^2

(5m + h)*h = 2*102 m^2 = 204m^2

5m*h + h^2 = 204m^2

We can rewrite this as a quadratic equation:

h^2 + 5m*h - 204m^2 = 0

The solutions are given by the Bhaskara formula, the solutions are:

[tex]h = \frac{-5m +- \sqrt{(+5m)^2 -4*1*(-204m^2)} }{2*1} = \frac{-5m+-29m}{2}[/tex]

Then the two solutions are:

h = (-5m - 29m)/2 = -17 m

This is a negative height, that is not really defined, so this will be discarded.

The other solution is:

h = (-5m + 29m)/2 = 12m

This is positive, so this is the option we will use.

Knowing h, we can find the value of b.

b = 5m + h = 5m + 12m = 17m

Then the area is:

A = 12m*17m/2 = 102m^2

Answer:

y = 11°

Step-by-step explanation:

PR and QS and parallel lines and QR is a transversal.

Now,

5y = 55 (alternate interior angles)

y = 55/5

y = 11

Answer:

theres no picture attached

Step-by-step explanation:

Answer:

365/1,000 or .365

Step-by-step explanation:

HTH :)

Three hundred sixty five thousand in standard form is 365000.

The standard form of numbers is when we have to write the number in digits according to it's place and face value.

Word form of numbers is that when we have to write numbers given in numerical form to words by determining place and face value.

According to the given question we have to write  three thousand sixty five thousand in standard form.

We know thousand has three zeroes.Suppose we have to write one thousand in standard form which is 1000.

Given we have to write three hundred sixty five thousand in standard form which is 365000.

learn more about numbers here :

https://brainly.com/question/17264364

#SPJ2

Answer:

x < -([tex]\frac{11}{2}[/tex])

Step-by-step explanation:

2(4x + 1) < 3(2x - 3)

8x+2 < 6x-9

2x+2 < -9

2x < -11

x < -([tex]\frac{11}{2}[/tex])

Answer: 20

Step-by-step explanation:

Solution :

Population proportion, P = 77%

Sample size is given by n = 55

Sample proportion = [tex]$\frac{x}{n} = \frac{34}{55}= 0.61$[/tex]

Null hypothesis

The population proportion of the fatalities of the drivers that are related to alcohol = 77%

[tex]$H_0 : P = 77$[/tex] %

[tex]$H_0 : P = 0.77$[/tex]

Alternate hypothesis, [tex]$H_a : P < 0.77$[/tex]

Therefore, the test statistics = [tex]$\frac{0.61 - 0.77}{\sqrt{\frac{0.7 \times 0.23}{55}}}$[/tex]

                                                = -3.2

Critical value = -1.64

and the rejection zone : test zone, -1.645

Therefore, we fail rejecting [tex]$H_0$[/tex]

p value 0.0582

rejection zone :: p value , 0.01

So we fail to reject [tex]$H_0$[/tex]

Thus the data does not indicate the population proportion of the drivers fatalities which are related to the alcohols which is less than 77% in the county of Kit Carson.