**Step-by-step explanation:**

A

The probability of wining is 1/4 so it's 25%. so if you win you either win one of 2 object, so we have to divide the chance of wining by the number of object, so (25%)/2

A it's ,**12.5%** chance of wining the mug

B yes, it will change if she pics the mug first, it will be 25% because it's guaranteed that she will get the mug if she wins

**Answer:**

10 times

**Step-by-step explanation:**

In the first number, the value of 3 is 300.

In the second number, the value of 3 is 30.

So 300÷30=10

**Answer:**

**Step-by-step explanation:**

If it is a parallelogram the opposite sides will a have the same slope.

Using the diagram we see from the coordinates of A and B:

Slope of AB = (5 - -1)/(-1 - -5)

= 6/4

=** 3/2.**

In the same way

slope of CD = (2 - -4) / (1 - -3)

=** 3/2.**

So AB and CD can be shown to be parallel.

Similarly the lines BC and AD are parallel.

**So the figure is a parallelogram**

**Finding the perimeter ** (counting the units between the points):

Perimeter = 2AB + 2BC

By Pythagoras:

AB = sqrt (6^2 + 4^2) = sqrt 52

BC = sqrt (3^2 + 2^2) = sqrt 13

So Perimeter = 2sqrt52 + 2sqrt13

= 4sqrt13 + 2 sqrt13

=** 6sqrt13**

or** 21.63 **unit^2 to 2 decimal places.

Area = sqrt52 * perpendicular distance between the lines AB and CD.

9-70-90+167 = sixteen. (16)

**X < 10**

**Step-by-step explanation:**