Answer:
<h2>
<em><u>3rd</u></em><em><u> </u></em><em><u>Option</u></em><em><u> </u></em></h2>
Step-by-step explanation:
Answer:
Triangles always have 180°, split in some manner between the three angles. With two of the three angles given, you can set up a relatively simple equation, where the third angle is assigned to the variable x:
45°+85°+x=180°
130°+x=180°
x=50°
Answer:
All triangles add up to 180 degrees.
Step-by-step explanation:
Answer:
y = 9
Step-by-step explanation:
since opposite sides are congruent and opposite angles are conguent, we use an equal sign
2y + 9 = 27
Step 1: Subtract 9 from both sides.
2y+9−9=27−9
2y=18
Step 2: Divide both sides by 2.
2y/2 = 18/2
y = 9
<span>It costs $7.00 to play a straightforward game in which a dealer gives you one card from a deck of 52 cards. </span><span>
</span><span>
If the card is a heart, spade, or diamond, you lose. </span><span>
</span><span>
If the card is a club other than the queen of clubs, you win $11.50. </span><span>
</span><span>
If the card is the queen of clubs, you win $50.00. </span><span>
</span><span>
The random variable x represents your net gain from playing this game once, or your winnings minus the cost to play. What is the mean of x, rounded to the nearest penny?</span><span>
</span><span>
------
Random "winnings"::.....-7.......4.50......43</span><span>
</span><span>
Probabilities::........ 39/52....12/52....1/52 </span><span>
</span><span>
------------------------------------------------------</span><span>
</span><span>
u(x) = [39*-7 + 12*4.5 + 43]/52 = -$3.38
</span>
