CPhill

"B" is correct.....

On a rainy day, every kid at Margo's school brings a raincoat, an umbrella, or both. 8% of the kids bring both. The total number of kids with umbrellas is twice the total number of kids with raincoats.

What percent of the kids bring only an umbrella?

For simplicity, let's suppose that there are 100 kids at the school

If 8% bring both, then 8 bring both

Let the number who bring raincoats = x

Let the number who bring umbrellas =  2x

So....the ones that bring only raincoats = x - 8

And the ones that bring only umbrellas = 2x - 8

So......we have this equation

Kids who bring only umbrellas + kids who bring both + kids who only bring raincoats = 100

(2x -8)  +  8  + (x - 8)  =  100      simplify

3x - 8   = 100      add 8 to both sides

3x = 108      divide both sides by 3

x = 36

So....the ones who bring only a rain coat =  36 - 8  =  28

And the ones who bring only an umbrella  = 2(36) - 8  =  72 - 8  = 64 = 64%

Check

Only umbrellas +  Both + Only Raincoats = 100  ???

64  +  8  +  28   =  100   (Check)

2000 ( 1 + .062 / 4 ) ^( 13 * 4)  ≈ $ 4450.27

AC = BD , CB = DA 

Given

AB = AB

Reflexive property of equality

So.....by SSS

Triangle ABC is congruent to Triangle BAD

Point-Slope

(y - y1) = m(x - x1)

Where m is the slope  and (x1, y1) is the point

Slope-Intercept

y = mx +  b

Where m is the slope and "b" is the y intercept

We can answer this with a Venn diagram :

Kinda Pink only =  60 - 27 =  33

Both = 27

Purply Only = 23

Neither = 17

3.

The scale factor from EFGH to JKLM is   JK  / EF  =   11.2  /  28  =  2 / 5 =   0.4

The first pair of polygons at the top left are not similar because

18  / 14   =

9 / 7   does not equal to 10 / 7

The pair of polygons at the bottom left are similar  because

18 / 10    =    27 / 15  =  7.2 / 4 = 10.8 / 6  =   9 / 5

The pair of polygons at the top right are similar because they are both equilateral triangles....and all equilateral  are similar

The pair of polygons at the bottom right are similar......each side of the smaller polygon is 3/4 that of its corresponding side in the larger polygon....

This is the parent function   f(x)  =  l x l        reflected across the x axis, vertically stretched by a factor of 2,  translated to the right by 4 units and up 3 units

AB and CD bisect each other                                                 Given

Join ADBC                                                                               A line segment can join any two points

AE = BE    and CE = DE                                                          Definition of bisector

Angle CEA = Angle DEB                                                         Vertical angles

Triangle AEC congruent to Triangle BED                                SAS

AC = BD                                                                                  Congruent parts of congruent triangles

Angle EAC = Angle EBD                                                         Consequence of congruent triangles

Angles EAC and EBD are alternate interior angles                 Definition of alternate interior angles

AC  ll  BD                                                                                 A transversal (AB) cuts AC and BD forming equal

                                                                                                alternative angles EAC and EBD....by definition AC ll                                                                                                    BD