The table here shows the largest lakes in U.S. in terms of surface area. How much larger is the surface area of Huron lake than one-half the surface area of Lake Superior?

Answer:

third choice, 5(x+2y-3)

Step-by-step explanation:

multiply every item in the parentheses by 5.

5x+10y-15= 5(x+2y-3)

Need 20 characters at least, lol

The shape of the image of ΔABC following a dilation by a scale factor of [tex]\dfrac{2}{3}[/tex] is the same as the shape of ΔABC but the sizes of the sides of ΔA'B'C' are [tex]\dfrac{2}{3}[/tex] smaller

The correct options with regards the given statements are;

Reasons:

The dilation lengths of the sides of ΔABC are AB, AC, BC

The given scale factor of dilation = [tex]\dfrac{2}{3}[/tex]

Therefore;

The lengths of the sides of ΔA'B'C' are [tex]\dfrac{2}{3} \cdot \overline {A'B'}[/tex], [tex]\dfrac{2}{3} \cdot \overline {A'C'}[/tex], [tex]\dfrac{2}{3} \cdot \overline {B'C'}[/tex]

Which gives;

[tex]\dfrac{\overline{A'B'}}{\overline{AB}}} = \dfrac{\overline{A'C'}}{\overline{AC}}} = \dfrac{\overline{B'C'}}{\overline{BC}}} = \dfrac{2}{3}[/tex]

Given that the ratio of the corresponding sides of ΔABC and ΔA'B'C' are equal, ΔABC is similar to ΔA'B'C' by triangle similarity theorem

Therefore;

∠A = ∠A', ∠B = ∠B', and ∠C = ∠C' by definition of triangle similarity

Which gives;

The statement; The measure of ∠B and ∠B' are equal is True

Second part;

The center of dilation of ΔABC is point A, therefore, the distance between point A and point A' following a dilation is zero

Therefore, given that there is no difference, we have;

The coordinates of point A = The coordinates of point A'

Therefore;

The statement, the coordinates of A and A' are the same is True

Learn more here:

https://brainly.com/question/2584916

Answer:

False

True

Step-by-step explanation:

A dilation multiplies the distance of every point from the center of dilation by the scale factor. So a dilation moves every point except the center of dilation.

Point A is the center of dilation, so the coordinates of A and A′, are the same.

Dilations multiply every length in the figure by the scale factor, so AB and A'B' do not have the same length.

Answer:

B

Step-by-step explanation:

the line plot has an X to represent the amount of times the piece of data occurred I counted 2 x's

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

Explanation:

We'll need to use the circumference formula

C = 2*pi*r

to find the value of the radius r when C = 44

So we get

C = 2*pi*r

44 = 2*3.14*r

44 = 6.28*r

6.28r = 44

r = 44/6.28

r = 7.0063694267516

which is approximate

Then we use this value of r to find the area we need

A = pi*r^2

A = 3.14*(7.0063694267516)^2

A = 154.140127388536

A = 154

The area of the circular placemat is approximately 154 square inches.

Answer:

a ~ 154

a = [tex]\frac{484}{(pi)}[/tex]

Step-by-step explanation:

1. Approach

In this problem, one is given the circumference, the distance around the circle, one must find the area. In order to find the area, one must know the radius of the circle. To find the radius, one has to backsolve from the given circumference, then substitute the derived value into the formula for the area and solve.

2. Find the radius

The formula to find the circumference of a circle is;

[tex]2r(pi)=c[/tex]

Where (r) is the radius, (pi) is (3.1415), and (c) is the circumference.

Substitute in the given values and solve;

[tex]2r(pi) = c\\2r(pi) = 44\\r=\frac{44}{2(pi)}\\r=\frac{22}{(pi)}[/tex]

3. Find the area

Now, one has the value of the radius, substitute it into the formula for the area of a circle and solve;

The formula for finding the area of a circle;

[tex](pi)r^{2}=a[/tex]

Where (pi) is (3.1415), (r) is the radius, and (a) is the area,

Substitute in the value and solve.

[tex](pi)r^{2} = a\\(pi)(\frac{22}{(pi)})^{2}=a\\\frac{(22)^{2}}{(pi)}=a\\\frac{484}{(pi)}=a[/tex]

a ~ 154

Answer:

A. no

B. no

C. yes

D. yes

Step-by-step explanation:

ik it's true because, 35X2/3= 23 1/3, not 20.

26X2/3= 17 1/3, not 18 1/3.

48X2/3=32 and 22X2/3= 14 2/3.

Answer:

The answer would be C and D

Step-by-step explanation:

Answer:

8 mph

Step-by-step explanation:

Answer:

​x-y=-1

3x+y=9

Step-by-step explanation:

Answer1.19 pounds per Dollar

Step-by-step explanation:

its just 25/21

Answer: 20% off means that the new price of the shoes will be 80% of the original price:

$30(100%  – 20%) = $30(80%)

Converting the percent to a decimal gives:

$30(0.8) = $24.00

There is an additional 15% off the sale price of $24.00, so the final price is 85% of the sale price:

$24(100%  – 15%) = $24(85%)

Again converting the percent to a decimal gives:

$24(0.85) = $20.40

Step-by-step explanation:

Answer:

$200

Step-by-step explanation:

Answer:

5.7 cm

Step-by-step explanation:

Triangle

Measurements: 9 cm, 14 cm, y cm

14 cm/2= 7 cm

a²+b²=c²

7²+b²=9²

49+b²=81

-49     -49

b²= 32

b= 5.656854249

y= 5.7

Answer:

Your answer is 11.4

Hope that this is helpful. Tap the crown button, Mark my answer as............. BRAINLIST......... Like & Follow me to get more answer.

Answer:

y=1 and x=1

Step-by-step explanation:

they are just variables they don't mean anything because any number multiplied by 1 is that same number

EX: 57 x 1 = 57

21 x 1 = 21

hope that helped you!

Answer:

Yes, it is a solution.

Step-by-step explanation:

Since t ≥ 12 means that t needs to be equal to or greater than 12, t = 12 works as a solution because it is equal to 12.

Answer:

3

Step-by-step explanation:

The area of a triangle = 1/2 x base x height

The base here is 2 and the height is 3.

2 x 3 = 6

1/2 x 6 = 3

Answer:

3

Step-by-step explanation:

To find the area of a triangle you have to do 1/2 bh (one half times the base times the height). So when you do 3 x 2 (Since those are the side lengths) you would get 6 then divide by 2 to get 3.

Hope this helps :)

Answer:

The area is 9 square units.

Step-by-step explanation:

The diagram shows that the square is 3x3 which means that the area is 9.

Answer:

3.5 feet.

Step-by-step explanation:

r=C/2π

r=22/2π

r=22/6.28

r≈3.5

Answer:

The rectangle is the only one.

Step-by-step explanation:

Answer:

It wont load sorry maeby try putting the question again maeby it will work or is it my end.

Step-by-step explanation:

Answer:

Step-by-step explanation:

a=dv/dt

A=15/1=15

B=5/1=5

C=0/2=0

D=-20/1=-20

So from least to greatest

-20, 0, 5, 15

D, C, B, A

Answer:

4 hours, for $60

Step-by-step explanation:

10 x 4 = 40 + 20 = 60

15 x 4 = 60

Answer:

15.7 feet I hope that helped!

Answer:

4 is the answer. My previous answer got deleted.

2 x 4 divided by 2 = 4

Step-by-step explanation:

Answer:

        --

x = 2.3

Step-by-step explanation:    

3 x + 5 = 17

      - 5 = -5

------------------------

      3x      7

     ----- = -----

      3         3

-------------------------

                  ---

         x = 2. 3

Answer:

I think that the answer is B.

Step-by-step explanation:

Hope this helps

Answer:

it b

Step-by-step explanation: