you clicked the right answer hehe. the opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.
OP is of equal length to MP which means OP is also 21m and that makes x equals to 11.
to find y, we have to make sure that the result of LP and NP are of equal length. Therefore, y is equals to 2 because;
LP = (y+3)m = (2+3)m = 5m
NP = (3y-1)m = (3(2)-1)m = (6-1)m = 5m
LP=NP. the answer is letter D. x=11 and y=2
Answer:
The number of students who have a test score in the interval 71-80 is <u>13</u>.
Step-by-step explanation:
Given:
The frequency chart which show the cumulative numbers of students test scores.
Now, to find the number of students who score in the interval 71-80, we will look in the frequency chart. In the chart score range of 65-80 the cumulative number of students are 13. As the 71 to 80 comes in between the score range 65-80 and there are 13 students who scored in this range.
Therefore, the number of students who have a test score in the interval 71-80 is 13.
X=2 is the answer when trying to figure out what x equals.
To convert to y=Mx+b
4x+2=10
-2. -2
4x=8
4. 4
X=2
Answer: (-5,-5) --> (-x,-y)
Step-by-step explanation:
90 degree rotation: (-y,x)
180 degree rotation: (-x,-y)
270 degree rotation: (y,-x)
<h3>
Answer: 17/24</h3>
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Explanation:
We have these four cases or possible outcomes
- Case 1) We select 0 black marbles and 3 red marbles.
- Case 2) We select 1 black marble and 2 red marbles.
- Case 3) We select 2 black marbles and 1 red marble.
- Case 4) We select 3 black marbles and 0 red marbles.
Let's calculate the probability for case 4.
There are 7 black marbles out of 10 total. The probability of picking black is 7/10. If no replacement is made, then 6/9 is the probability of picking black again (subtract 1 from the numerator and denominator separately). Finally, 5/8 is the probability of getting black a third time.
The probability of getting 3 black marbles in a row is
(7/10)*(6/9)*(5/8) = (7*6*5)/(10*9*8) = 210/720 = 7/24.
That fraction 7/24 means that if you had 24 chances, then you expect about 7 of them will lead to getting three black marbles in a row (aka case 4). Therefore, 24-7 = 17 occurrences are expected where we get cases 1 through 3 occur in some fashion (pick one case only).
Notice how cases 1 through 3 encapsulate the phrasing "at most 2 black marbles" which is another way of saying "2 black marbles is the highest we can go".
So that's why the answer is 17/24.
