∆ABC is mapped to ∆A'B'C' using each of the given rules in the table below. Place a checkmark in the correct column for each mapping to state if the resulting mapping would make ∆ABC congruent or not congruent to ∆A'B'C'.

∆ABC is congruent to ∆A^' B^' C'
∆ABC is NOT congruent to ∆A^' B^' C'

(x,y) → (x+5,y)

(x,y) → (5x,5y)

(x,y) → (.5x,.5y)

(x,y) → (x,-y)

(x,y) → (-x,-y)

Answer:

[tex]A_{total} = 16\ cm^2[/tex]

Step-by-step explanation:

Step 1:  Determine the area of the top rectangle

We can tell that the total shape seems like two rectangles glued together.  We can separate the top rectangle and determine the area of it and then determine the area of the bottom rectangle and combine them.  Lets first solve the left rectangle.

[tex]A=l*w[/tex]

[tex]A_{top\ rectangle}=6\ cm * 2\ cm[/tex]

[tex]A_{top\ rectangle}=12\ cm^2[/tex]

Step 2:  Determine the area of the bottom rectangle

[tex]A=l*w[/tex]

[tex]A_{bottom\ rectangle}=2\ cm * 2\ cm[/tex]

[tex]A_{bottom\ rectangle}=4\ cm^2[/tex]

Step 3:  Determine the total area

[tex]A_{total}=A_{top\ rectangle}+A_{bottom\ rectangle}[/tex]

[tex]A_{total}=12\ cm^2+4\ cm^2[/tex]

[tex]A_{total} = 16\ cm^2[/tex]

Answer:  [tex]A_{total} = 16\ cm^2[/tex]

Break in middle horizontally

For square (Below)

For rectangle

Total area

Answer:

20 miles

Step-by-step explanation:

This is a Pythagorean Theorem Problem

1. We know that one side of the triangle is 6 miles. And we know that another side is 19 miles.

2. We use the pythagorean Theorem to solve. We get

[tex]19^2+6^2=C^2[/tex]

Where C is the distance.

Solving that we get that 20 miles is the answer.

Answer:

A =281 ft^2

Step-by-step explanation:

A=2πrh+2πr^2

A = 2 (3.14) (4)(5) + 2 (3.14) (5)^2

A =281 ft^2

Answer:

1st choice : 706.5 square inches

Step-by-step explanation:

circumference is pi times diameter

divide 94.2 by pi to get diameter = 29.9847912785

diameter 29.9847912785 divided by 2 is

14.9923956393 which is the radius

area is pi times radius times radius again

pi times 14.9923956393 times 14.9923956393 =

706.141834613

Answer:

180 in^2

Step-by-step explanation:

S=(1/2)lP + B

B = 10x10 = 100

P = 10(4) = 40

l is 4, but you could also use the fact that each triangular side is A=(1/2)bh.

(1/2)4 x 10 = 20

20(4) = 80

add 100 + 80 = 180

The values of the function y = (x +3)(x - 2) at x = 1 and x = 2 are -4 and 0, respectively

The function is given as:

y = (x +3)(x - 2)

When x = 1, we have:

y = (1 +3)(1 - 2)

y = -4

When x = 2, we have:

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

y = 0

Hence, the values of the function y = (x +3)(x - 2) at x = 1 and x = 2 are -4 and 0, respectively

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Answer:

y=1/2x+1= A

y=-2x-4= C

x-2= E

y=-3= F

y=1/2x+3.5=B

I hope this helps

Step-by-step explanation:

[tex] \frac{20}{3} [/tex]

[tex] \frac {20}{3} [/tex] as a mixed number.

First, divide the numerator by the denominator.

[tex]20 \div 3 [/tex]

[tex] = 6 \: R2[/tex]

Then, write the whole number value and use the remainder as the numerator over the denominator. As we all know the denominator won't change.

[tex]\large\boxed{\sf{= 6 \frac{2}{3}}}[/tex]

Answer:

39

Step-by-step explanation:

[tex]\sqrt{100-36}+32-1\\\sqrt{64}+31\\8+31\\39[/tex]

Hey there!

√(100 – 36) + 32 – 1

= √(64) + 32 - 1

= 8 + 32 – 1

= 40 – 1

= 39

Therefore, the answer should be: 39

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer: It finally let me answer this. Give me brainliset if another person answers. You have to make a bar graph and then put the same info on it.

Too make this easier for me or others 3/4 can be represented as 0.75. 3/4 or 0.75 x 16 = 12

More depth explanation:

Multiple: 3/

4

* 16 = 3 · 16/

4 · 1

= 48/

4

= 12 · 4/

1 · 4

= 12

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(48, 4) = 4. In the following intermediate step, cancel by a common factor of 4 gives 12/

1

.

In other words - three quarters multiplied by sixteen = twelve.

Answer:

Area = 3430

Step-by-step explanation:

Graphing y = 28x - x^2 with it's limit interval (0<x<28). They ask for four sub-interval of LRAM.

Divide the base of 28 into 4 equal rectangles.

Area = (Base * Height) + (Base * Height) + (Base * Height) + (Base * Height)

Area = (0 * 7) + (147 * 7) + (196 * 7) + (147 * 7)

Area = 3430

AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.

Note, the figure is a parallelogram

Some properties of a parallelogram are:

if sides AB = DC, then AB is parallel to CD because they are opposite to each other and opposite sides of a parallelogram are parallel.

Hence, AB is parallel to CD because the figure is a parallelogram and opposite sides of a parallelogram are parallel.

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Answer:

6:09

Step-by-step explanation:

6:09 is one minute after 6:08

Answer:

21 mm

Step-by-step explanation:

Given,

Volume of cone ( V ) = 2307.9 mm³

Height ( h ) = 5 mm

To find : Radius ( r )

Formula : -

Volume of cone = πh/3 r²

Note : -

The value of π is 3.14

Volume of cone = πh/3 r²

2307.9 mm³ = 3.14 x 5/3 x r²

2307.9 = 5.23 x r²

Divide 5.23 on both sides,

r² = 2307.9 / 5.23

r² = 441

r² = 21 x 21

r² = 21²

r = 21 mm

Answer:

Interquartile Range

Step-by-step explanation:

The answer is the interquartile range because there is an outlier.

The data has an extreme value, of 62, so the IQR is most appropriate for this data set. The only other time the IQR is appropriate is when the data is skewed.

Answer:

$5×30days= $150 for the whole month

Answer: $90 saved

Step-by-step explanation:

8 - 5 = $3 dollars saved each day

Multiply daily amount saved by number of days

$3 × 30 = $90 saved

Answer:

answer = 90

Step-by-step explanation:

General equation:  a = k*b^2

Specifically:          10 = k*(3)^2 = 9 k

Solving for k:  k = 10/9

Then a = (10/9)b^2.    If b = 9, then a = (10/9)(9)^2 = 90 (answer)

Answer:

32

Step-by-step explanation:

7×18+2×18=32

x=14

y=18

Have a great day!

Answer: 128°

Step-by-step explanation:

   There are 360° in a trapezoid. Since this is a right trapezoid, two of those angles will be equal to 90°. We will set up the following equation, and solve.

360° = 90° + 90° + 52° + x°

360° = 90° + 90° + 52° + x°

360° = 232° + x°

128° = x

x = 128°

   The obtuse angle has a measure of 128°.

Answer:

    j = 11

    j = 12

Step-by-step explanation:

   The inequality:

8 ≤ j

   We will test all the options given.

-> In short, all options greater or equal to 8 will be solutions.

j = 12

8 ≤ j

8 ≤ 12 ✓

-

j = 5

8 ≤ j

8 ≤ 5 ✗

-

j = 6

8 ≤ j

8 ≤ 6 ✗

-

j =11

8 ≤ j

8 ≤ 11 ✓

Answer:

8.6

Step-by-step explanation:

If we know 10% of a number is 4.3, we can easily find 20% of the number as well.

We know 20% is 2 times 10%.

Therefore,

Answer:

2,48,000

Step-by-step explanation:

The surface area of the square based pyramid is 61.25 centimetre square

surface area of the pyramid = A + 1 /2 ps

where

A = area of the base

p = perimeter of the base

s = slant height

Therefore,

A = 3.5² = 12.25 cm²

p = 4(3.5) = 14 cm

s = 7 cm

Therefore,

surface area of the pyramid = 12.25 + 1 /2 × 14 × 7

surface area of the pyramid = 61.25 cm²

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Using the z-distribution, it is found that the margin of error for the true proportion of times this die would land on five dots is of 0.1338.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The estimate and the sample size are given as follows:

[tex]\pi = \frac{25}{30} = 0.8333, n = 30[/tex].

Hence the margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.8333(0.1667)}{30}}[/tex]

M = 0.1338.

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Once he passes his friends, The miles Josiah has left to run would be 10.95 miles.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

Josiah is running a marathon which is 26 1/5 miles long.

At four 1/4 miles from the start, he meets his wife, who is cheering him on.

7 1/2 miles further down the marathon course.

26 1/5 = 131/ 5

7 1/2 = 15/2

The marathon run by Josiah

= 1/4 + 15/2

= 15.25

The miles Josiah has left to run

= 131/ 5 - 15.25

= 10.95

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