Write a rule to describe each transformation.
11. P (3,4), Q (3,5), R (4,5), S (5,0)

to

P’ (0,3), Q’ (0,4), R’ (1,4), S’ (2,-1) 12.

F (-4,1), E (-4,3), D (-1,3) to

F’ (1,4), E’ (3,4), D’ (3,1)

B (-3, -5), C (-2,-2), D (-1,-2) to

B’ (3,-5), C’ (2,-2), D’ (1,-2)

Answer:

28. m<A=20°, m<B=70°

32. m<A=103°, m<B=77°

Step-by-step explanation:

complementary angle=a+b=90°

supplementary angle=a+b=180°

28. A+B=90°

      5x+17x+2=90°

      22x+2=90°

      22x=90-2

      22x=88

        22x/22=88/22

      x=88/22=4

m<A=5x=5*4=20°

m<B=17x+2=17*4+2=68+2=70°

         Check

A+B=90°

20+70=90°

90°=90°

32. A+B=180°

     x+11+x-15=180°

     2x-4=180°

     2x=180+4

     2x=184

     2x/2=184/2

     x=184/2

     x=92

m<A=x+11=92+11=103°

m<B=x-15=92-15=77°

     Check

A+B=180°

103+77=180°

180°=180°

The formula for the slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{20-10}{2-1}[/tex]

[tex]m=\frac{10}{1}[/tex]

[tex]m=10[/tex]

Hope this helps.

頑張って!

Answer:

The answer is 10 minutes per mile!

Step-by-step explanation:

I hope this helped! :)

Steps to solve:

6a + 12 = 3(2a + 1) + 5

~Distribute right sides

6a + 12 = 6a + 3 + 5

~Simplify

6a + 12 = 6a + 8

~Subtract 12 to both sides

6a = 6a - 4

~Subtract 6a to both sides

0 = 4

Therefore, there are no solutions.

Best of Luck!

I'm going to assume you're asking where the point is located on a coordinate plane.

We have x = 0 and y = -4.

So, we start at (0, 0) and move down 4 units.

Best of Luck!

Answer:

13986

Step-by-step explanation:

hmmm... have you tried using a calculator

Answer:

   The answer is 13986

Step-by-step explanation:Because 100+5987 is

5997 then 5997+7899 is

13986.

HOPE IT HELPS!

Answer:

32.65 feet below sea level

Step-by-step explanation:

1.5x15=22.5

55.15-22.5=32.65

hope that helps

Answer:

153/40

Step-by-step explanation:

The first step to finding the fraction is to get rid of the decimal points as fractions do not have decimals. To do this we can multiply it by 1000 which gives us 3825. To have this equal to the original number we add ÷1000 on the denominator which gives us 3825/1000 which is a fraction still equal to the original number (3825÷1000=3.825). Which can further be simplified to 153/40 (both numbers divisible by 25). This is the simplest fraction which can express the number 3.825 (153/40=3.825).

Hope this helped!

Answer:

yesssssssssssssssssssss

Answer:

x = 24

Step-by-step explanation:

Step 1:

5x -3 + 2x + 15 = 180

Step 2:

7x + 12 = 180

Step 3:

7x = 168

Answer:

x = 24

Hope This Helps :)

Answer:

1/5

Step-by-step explanation:

Total number of socks = 50( 20+10+10+6+4)

Number of black socks = 10

Therefore, 10/50= 1/5

the probability of getting a black sock is 1/5.

Answer:

  -a^5/(8b^7)

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  a^-b = 1/a^b

__

  [tex](-2ab^{-5})(4a^{-2}b)^{-2}=(-2ab^{-5})(4^{-2}a^{-2(-2)}b^{-2})\\\\=\dfrac{-2}{16}a^{1+4}b^{-5-2}=\boxed{-\dfrac{a^5}{8b^7}}[/tex]

Answer:

Perimeter = 14.0942 ft       (aprox)

Step-by-step explanation:

1 ft = 12 inches

1 inch = 1/12 = 0.08333 ft

4 inch = 4*0.08333 = 0.3333 ft

then:

there are:

        perimeter = 2π r

         π = 3.1416

         r = radius

         perimeter = 2*3.1416*0.3333ft

         perimeter = 2.0942 ft       (aprox)

       perimeter = 4*3ft

        perimeter = 12ft

Total perimeter:

2.0942ft +´12ft = 14.0942 ft

Answer:

If this was all the fruit, 3 and 7/12

Step-by-step explanation:

1/4 and 1/3 LCM is 12

1/4=3/12

1/3=4/12

2+1=3

3/12+4/12=7/12

3+7/12= 3 7/12

Answer:

your answer is fifteen

Answer:

Step-by-step explanation:

80/100 = 8/10= 4/5

Answer:

(a)  8

(b)  6

:>

Answer:

Fraction of the number that received an A= = 27/50

Step-by-step explanation:

In a class of 50 statistics​ students, 27

students received an A.

Total number of students=50

Number that received an A= 27

Fraction of the number that received an A= Number that received an A/Total number of students

Fraction of the number that received an A= = 27/50

Answer:

1

Step-by-step explanation:

Anything to the power is 0 is equal to 1.

Answer:

the answer is 1

Step-by-step explanation:

Answer:

$187.5

Step-by-step explanation:

25 times 7.5 is 187.7

Answer:

Liquid

Step-by-step explanation:

solids :have definite shape and definite volume.

Liquids :have definite volume and shape of the container.(or no definite shape)

Gas: has no definite volume and no definite shape.

Answer:

6

Step-by-step explanation:

Hey there! I'm happy to help!

To write a fraction as a decimal, you simply divide the numerator by the denominator.

10÷18=0.55555.... (the 5s never end!)

We see that the 5s repeat forever. This means that this is a repeating decimal.

Have a wonderful day! :D

Answer:

The GFC would be 8

Step-by-step explanation:

12 - 1,2,3,4,5,6,7,8,12,24

40 - 1,2,4,5,8,10,20,40

Answer:

11

Step-by-step explanation:

the answer is 11 because there are 11 words and 2 ps

Answer: Choice C

[tex](xy)^{1/2}[/tex] which is equivalent to [tex]\sqrt{xy}[/tex]

===============================================

Explanation:

The exponent for the y term inside the parenthesis is 1/6 and then that expression is raised to the 3rd power. The exponents multiply to (1/6)*3 = 3/6 = 1/2

This means [tex]\left(y^{1/6}\right)^3 = y^{1/2}[/tex]

Having an exponent of 1/2 is the same as applying the square root, so,

[tex]\sqrt{x} = x^{1/2}[/tex]

Meaning,

[tex]y^{1/2}\sqrt{x} = y^{1/2}x^{1/2} = (xy)^{1/2} = \sqrt{xy}[/tex]

Answer:

3.84 x  10^5

Step-by-step explanation:

Answer:

3.84x10^5

Step-by-step explanation:

count how many times the decimal was moved to the right and that is the exponent

Answer:

  161.5 miles

Step-by-step explanation:

19 inches is 9.5 times 2 inches. So, the actual distance is 9.5 times 17 miles:

  9.5 × 17 miles = 161.5 miles

Answer: Because the a-value is negative.

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k    where

Given: g(x) = - (x + 1)² - 3

                    ↓

                 a= -1

Since the a-value is negative, the parabola will be reflected over the x-axis which will change the curve from (U-shaped) to (∩-shaped).