Triangle ABC is translated 2 units up and 4 units to the right and is then rotated 180° to
produce the image triangle A'B'C'. What are the coordinates of B' in the resulting figure?

Answer:

∠A = 148°

∠B = 32°

Step-by-step explanation:

We know that  ∠A and ∠B are supplementary angles, this means that:

∠A + ∠B = 180°

And we also know that:

∠A = (7x + 15)°

∠B =  (x + 13)°

Then we have a system of 3 equations.

To solve it, we can replace the second and third equations into the first one, and get:

(7x + 15)° + (x + 13)° = 180°

Now we can solve this for x, but first, let's remove the degree sign so it is easier to work:

7x + 15 + x + 13 = 180

(7 + 1)*x + 28 = 180

8*x = 180 - 28 = 152

x = 152/8 = 19

Now that we know x, we can find the values of ∠A and ∠B

∠A = (7x + 15)° = (7*19 + 15)° = 148°

∠B =  (x + 13)° = (19 + 13)° = 32°

Answer:

[tex]x = 15.[/tex]

Step-by-step explanation:

[tex]4x/5-x=X/10-9/2 = > \\ \frac{4x}{5 - x} = \frac{x}{10} - \frac{9}{2} \\ (20)4x = 2x(5x - x) - 10(5x - x) \\ 80x = 10 {x}^{2} - {2x}^{2} - 50x + 10x \\ 8 {x}^{2} - 120x = 0 \\ {x}^{2} = 15x \\ x = 15.[/tex]

Answer:

C)8

Step-by-step explanation:

x=5 ,y=6

therefore , 2×12/6

= 8

Answer:

Real number

9) 2445

10) 0.000104

11) 0.0965

12) 5962

13) 0.000022

14)  0.312

15) 80447

16)  127.8

Example of standard notation

45,000,000 ---> 4.5000000

Follow the example using the number 45,000,000. In this case, move the decimal point until it is after the first non-zero number. If moving to the left, go one additional space so that there is a whole number on the left and a mantissa on the right.

107⁷

The number of spaces the decimal point was moved becomes the exponent. If it was moved right, the exponent is negative. If left, the exponent is positive. If the exponent is zero, scientific notation isn't needed.

45,000,000 = 4.5 x 10⁷

Answer:

9)2445

10)0.000104

11)0.09165

12)5962

13)0.000022

14)0.312

15)80447

16)127.8

I hope It's Right

Step-by-step explanation:

Okay so I think by "standard notation" it means Regular notation/standard form so I'm answering in Regular notation/standard form. If I'm WRONG and It's asking for Scientific notation, tell me I can answer these in scientific notation also.

Answer:

P≈76.37

Step-by-step explanation:

Using the formulas

P=4a

d= √2a

Solving for P

P=2√2d=2·√2·27≈76.36753

Answer:

we need the things to match lol

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

1. 4 : 3 = 2 : 1.5

2. 2 : 4 = 3 : 6

3. 3 : 2 = 4 : 2.6

Answer:

Answer:

150 (not sure)

Step-by-step explanation:

Paths that only touch 5 points unrepeatedly:

I used a tree diagram to list all the workable paths, taking cell A as an example:

2*(3x2 - 1) = 10

When you start at A you would have 3 choices, but after that only two, and since DB or BD can't happen and crossing B and D for the second step is the same, I double it.

Paths that touch 5 points and reapeat one of them:

2*(3x2x2 - 1x2) = 20

Paths that touch 5 points and repeat two of them:

2*(3x2x2x2-1x2x2) = 40

Paths that touch 5 points and repeat three of them:

2*(3x2x2x2x2-1x2x2x2) = 80

The sum of the answers in these 4 senarios is the final answer.

150

Answer: 1+17r is your answer

Step-by-step explanation: Combine like terms

Answer:

1+17r

Step-by-step explanation:

Answer:

The total number of servings of chicken the food bank can provide = 70 servings

Step-by-step explanation:

The given information from the table are;

The number of chicken contained in the main course of a serving of food = 2

The mass of each chicken served by the food bank = 12.6 oz

The quantity of chicken the food bank has = 110.9 pounds (1,774.4 ounces of chicken)

Therefore we have;

The mass of chicken per serving = 2 × 12.6 = 25.2 oz/serving

The total number of servings of chicken the food bank can provide = (The quantity of chicken the food bank has)/(The mass of chicken per serving)

∴ The total number of servings of chicken the food bank can provide = (1,774.4 oz)/(25.2 oz/serving) ≈ 70.413

Given that the servings are in whole numbers, we have;

The total number of servings of chicken the food bank can provide = 70 servings, to the nearest whole number.

Answer:

what is the question asking?

Step-by-step explanation:

Answer: 20 months

Step-by-step explanation: 300/15

Answer:

6

Step-by-step explanation:

| | | + | | | = 6

Answer:

B is 5 the answer your welcome

Answer:

When solving inequalities you want to first group all like terms, so you'd first add 8 to both sides, and get rid of the extra number on the left side.

7x ≤ -7

Then you'd isolate the variable, so you should divide both sides by 7.

x ≤ -1

When graphing the equation the solution set includes -1 so you would put a closed circle (filled in). The variable "x" is less than and equal to -1 so you would put the arrow facing left  <----.

Step-by-step explanation:

Answer:

y = 3/4x - 15/4

Step-by-step explanation:

Answer:x= 2

Step-by-step explanation:

X+16/3= 3x

3(x+16/3)=3(3x) [in order to cancel out the divided by 3]

X+16=9x

16=8x

2=x

Answer:

its c

Step-by-step explanation:

Answer: $84

Step-by-step explanation:

Price of  smoke detector in Store A = $17

Price of  smoke detector in Store B =  $24

Total detectors bought = 12

Price of 12 detectors in Store A = $17 x 12 = $204

Price of 12 detectors in Store B =  $24 x 12 = $ 288

Difference = $ 288 -$ 204 = $84

Hence, he will spend $84 less than if he purchased all the smoke detectors at Store B.

Step-by-step explanation:

first convert fraction to percentage, then into a decimal.

The line in a fraction that separates the numerator and denominator can be rewritten using the division symbol. So, to convert a fraction to a decimal, divide the numerator by the denominator. If required, you can use a calculator to do this. This will give us our answer as a decimal.

Answer:

28+8x

12x

Step-by-step explanation:

you would plug in numbers for x until one of them is cheaper in this case waste away is cheaper by $8 after 5 trash cans

Answer:

This is The Answer! Solutions: x=2.

Step-by-step explanation:

m = 5

n = 8

m - n = 5 - 8 = - 3

m - n divided by 4 = - 3 /

Answer:

3

Step-by-step explanation:

PEMDAS means we divide first, and 8/4 is 2

then, we do the subtraction of 5 - 2, which is 3

Answer:

the slope is 4

Step-by-step explanation:

You can solve this by using [tex]\frac{y2-y1}{x2-x1}[/tex] So in this case it's

[tex]\frac{7+1}{3-1}[/tex] due to the negative, you add instead of subtract. that becomes

[tex]\frac{8}{2}[/tex] Which is 4

Answer:

c. StartFraction 1 Over 15EndFraction

= 1/15

Step-by-step explanation:

If x varies directly as y

This is expressed as:

x ∝ y

Constant of variation = k

Hence,

x = ky

To find k, divide both sides by y

x/y = ky/y

k = x / y

x is 10 when y is 150

Therefore,

k = 10/150

k = 1/15

Constant of variation = 1/15

Answer:

its c

Step-by-step explanation: