Answer:
The probability that Katie will draw a face card on her next turn is 3/13, or approximately 23%.
Step-by-step explanation:
In a regular deck, there are four suits (clubs, spades, hearts and diamonds). Each suit has 13 cards that go from 2 - 10 plus the Ace, King, Queen and Jack. Since Katie is playing using a 26-card deck of only two suits, then there are only two kings, two queens and two jacks in the entire deck. In order to find probability, we form a fraction where the denominator is the total number of outcomes, in this case 26, and the numerator is the number of desired outcomes, in this case the total number of face cards in the deck - 6. So, the probability that Katie will choose a face card on the next turn is 6/26, which simplifies to 3/13 in lowest terms.
Answer:
Option D - Line P
Step-by-step explanation:
Look at the coordinates in the (x, y) column of Max's table and see which line has the same points.
If you need help visualizing this, you might draw vertical lines at distance = 1 and at distance = 5. Look at the points where those lines cross f(x). The vertical difference is perhaps 350 ft. Look at where the lines cross g(x). That vertical distance may be about 200 ft.
The vertical change from 1 to 5 is considerably less for g(x) than for f(x).
Tory should choose path ...
g(x)
Answer:
Yes The triangles are similar by SAS Similarity Theorem
Step-by-step explanation:
we know that
<u>Side-Angle-Side Similarity,</u> states that If an angle of a triangle is congruent to an angle of another triangle and if the included sides of these angles are proportional, then the two triangles are similar
In this problem
Angle L is congruent with Angle Z
so
Verify if the included sides are proportional
so

substitute the values

-----> is true
therefore
The triangles are similar by SAS
350 is the solution because the slope is 50meters/1minute
50✖️7=350
Or 250+50+50=350