Its 32 because you times all of the sides, so 8 times 4 is 32
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Answer: 16 units</h3>
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Explanation:
Segment PJ is perpendicular to segment YZ
So triangle PJZ is a right triangle with the known leg ZJ = 12, unknown leg PJ = x, and known hypotenuse PZ = 20.
Let's say a = 12, b = x, c = 20.
Use the Pythagorean theorem to find x
a^2 + b^2 = c^2
12^2 + x^2 = 20^2
144 + x^2 = 400
x^2 = 400-144
x^2 = 256
x = sqrt(256)
x = 16
Therefore segment PJ is 16 units long.
Side note: the angle bisectors won't always form 90 degree angles with the opposite sides. These angle bisectors are also altitude lines because of the 90 degree angles that form.
Answer:
ldk Sry
Step-by-step explanation:
First you need to get the same denominator
7/8 is equal to 21/24
1/6 is equal to 4/24
twenty one minus four is 17/24 which is the amount of juice that was drank.
A 52-card deck is made up of an equal number of diamonds, hearts, spades, and clubs. Because there are 4 suits, there is a 1/4 chance to draw one of them, in our case, spades.
There are 4 aces in a 52-card deck, so the chance of drawing one is 4/52, or 1/13.
The question asks for the probability of drawing an ace or a spade. Because it uses the word "or," we add the probabilities together. This is because there is a chance of drawing either of the cards; it doesn't have to meet both requirements to satisfy the statement.
However, if the question were to say "and," we would multiply the two probabilities.
Let's add 1/4 and 1/13. First, we can find a common denominator. We can use 52 because both fractions can multiply into it (since the ratio came from a deck of 52 cards as well).
Now we can add them together.
This cannot be simplified further, so the probability is 17 in 52, or 33%.
hope this helps!