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Alenkinab [10]
2 years ago
8

In a game, William and Mary take turns choosing cards at random from a bag. Each card shows a “W” or “M”. A player chooses a car

d, records the letter, and puts the card in a discard pile.
Are the letters drawn independent or dependent events?
Mathematics
1 answer:
TEA [102]2 years ago
4 0
They are dependent events. Only if W and M put the cards back into the bag would they be independent. 
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Giveing 15 points.Use the rectangle to find the measure of the following angles measure ane BAC=25
Vinil7 [7]

1) All angles of a rectangle are right angles, so the measure of angle CBA is 90 degrees.

2) Since all angles of a rectangle are right angles, angle BAD measures 90 degrees. Subtracting the 25 degrees of angle BAW from this, we get that angle CAD has a measure of 65 degrees.

3) Opposite sides of a rectangle are parallel, so by the alternate interior angles theorem, the measure of angle ACD is 25 degrees.

4) Because diagonals of a rectangle are congruent and bisect each other, this means BW=WA. So, since angles opposite equal sides in a triangle (in this case triangle ABW) are equal, the measure of angle ABW is 25 degrees. This means that the measure of angle CBD is 90-25=65 degrees.

5) In triangle AWB, since angles in a triangle add to 180 degrees, angle BWA measures 130 degrees.

6) Once again, since diagonals of a rectangle are congruent and bisect each other, AW=WD. So, the measures of angles WAD and ADW are each 65 degrees. Thus, because angles in a triangle (in this case triangle AWD) add to 180 degrees, the measure of angle AWD is 50 degrees.

4 0
2 years ago
The sum of the measures of the angles shown is 81°. Which is the measure of angle y?
Rus_ich [418]

Answer: because djsjs

Step-by-step explanation:

8 0
2 years ago
Solve 8z + 12 = 5z − 21
Mekhanik [1.2K]
z = -11

Steps:
8z+12 = 5z-21
Subtract 12 from both sides
8z+12-12 = 5z-21-12
Simplify
8z = 5z-33
Subtract 5z from both sides
8z-5z = 5z-33-5z
Simplify
3z = -33
Divide both sides by 3
3z/3 = -33/3
Simplify
z = -11

Hope this helps you! (:
-Hamilton1757
3 0
3 years ago
Pls I need help this
Citrus2011 [14]

Answer:

the third side is 4.

Step-by-step explanation:

Using  Pythagorean theorem of a^2 + b^2 = c^2 for right triangles, substitute

the numbers to show (\sqrt{65})^{2} + b^{2} = 9^{2} and solve for b. The square root and square cancel each other out, so you get 65 + b^{2} = 81.

Subtract 65 from both sides to get b^{2} = 16.

Then take the square root of both sides to get b = \sqrt{16} which equals 4.

6 0
3 years ago
Can anyone help me I don't know how to solve this?
soldi70 [24.7K]
Set up a proportion. 6/10 = 9/x. cross multiply so x times 6 = 6x. And 10 times 9 = 90. so 6x=90. Then 90 and 6x divided by 6. which gets you x=15. The 9 ft tall elephant will cast a 15 ft shadow.
3 0
3 years ago
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