Pll help :)<br> complete the table

You are choosing numbers from the set S ={A, B, C, D, E, F, G, H}. Let x = the number of ways to choose 3 letters from S without

postnew [5]

Given set S = <span>{A, B, C, D, E, F, G, H}
There are 8 elements in set S and we are to choose 3 letters at random, the number of ways to choose such is x. It is simply similar to choosing 5 letters at random, which is also equal to x. Since order doesn't matter, n! / (n-m)! where n = 8 and m = 3, which is 336 ways. </span>

6 0

2 years ago

Amy, Doug, and Ginger took a math test. Amy scored 12 points higher than Doug, and Ginger scored twice as many points as Doug. T

lakkis [162]

Amy(A): D + 12
Doug(D):D
Ginger(G):2D
SumOfAll(S)=208 : Total points / sum of all three friends

(D+12)+D+2D=208
D+12+3D=208 - transpose 12 to the right side
4D=208-12
4D = 196 - divide both sides by 4
D=49
Therefore, Doug scored 49

7 0

3 years ago

Read 2 more answers

Find the angel x in d diagram above with a well structured solution.<br><br>Thanks

Tom [10]

Step-by-step answer:

Please refer to attached image.

1. Quad PQRS is cyclic (all vertices on the same circle), so opposite angles are supplementary, meaning

that

angles QPS and QRS are supplementary =>

QPS+QRS=180 =>

QRS = 180 - 74 = 106

2. Triangle RSQ is isosceles with RS=RQ =>

angles RSQ and RQS are congruent.

3. Angle RSQ = (180 - 106) /2 = 74 / 2 = 37

4. QP is a diameter => angle QSP is a right-angle.

5. From (3) and (4) above,

angle RSP = 37+90 = 127

6. Since PQRS is cyclic, angles RQP and RSP are supplementary =>

RQP+RSP = 180 =>

x + 127 = 180 =>

x = 180 - 127 = 53 degrees.

5 0

3 years ago

Solve. 1,032 divided by 24 Enter the answer in the box.<br> Response area with 1 text input box

AlexFokin [52]

Answer:

$258\quad \mathrm{Remainder}\quad \:0$

Step-by-step explanation:

$\frac{1032}{4} \\\\\begin{matrix}4\overline{|\smallspace1032}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\\\mathrm{Divide}\:10\:\mathrm{by}\:4\:\mathrm{to\:get}\:2\\\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\ 4\overline{|\smallspace1032}\space\space\space\space\space\space\space\space\space\space\space\space\end{matrix}\\\\$

$\mathrm{Multiply\:the\:quotient\:digit}\:\left(2\right)\:\mathrm{by\:the\:divisor}\:4\\\begin{matrix}\space\space\space\space\space\space\emptyspace2\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\\4\overline{|\smallspace1032}\space\space\space\space\space\space\space\space\space\space\space\space\\ \space\space\space\space\space\space\underline{\emptyspace8}\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\space\end$