Answer:
12
Step-by-step explanation:
Answer:
The fourth vertex is D(8, 0)
Step-by-step explanation:
Let A(0, 0), B(2, 4), and C(10, 4) be the three vertices of a parallelogram ABCD and let its fourth vertex be D(a, b).
Join AC and BD. Let AC and BD intersect at point O.
- We have known that the diagonals of a parallelogram bisect each other.
So, O would be the midpoint of AC as well as that of BD.


The midpoint of AC is:




The midpoint of BD is:

so
∵ 


∵ 


Hence, the fourth vertex is D(8, 0)
Answer:
B
Step-by-step explanation:
- From the property of parallelogram the opposite angels are equal so < DAB = < DCB so < DAB will become 16x.
9x + 5 + 16x(<DAB) = 180 ....... because it is straight line.
25x + 5 = 180
25x = 180 - 5
25x = 175

x = 7
- now let's substitute in the angle < DCB( 16x):-16 × 7= 112
- To get < ABC lets use the property of parallelogram which says tha adjacent angles are supplementary. which means <ABC + <DCB = 180
<ABC + 112 = 180
< ABC = 180 - 112
< ABC = 68
IT WAS SO DIFFICULT TO EXPLAIN WITH PHONE BUT I TRIED MY BEST
hope it helps
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Kindly note that the question says 4; maybe the final question was intended to be the probability that he gets exactly 2 of the 4 correct. However. If it is the other way round. This a e procedure used in the solution should also be followed.
Answer:
0.21
Step-by-step explanation:
Number of options = 4
One correct answer per option ; hence, the probability of success, p = 1/4 = 0.25
Using the binomial probability relation :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
x = 2 ; n = 4
p = 0.25 ; 1 - p = 0.75
P(x = 2) = 4C2 * 0.25^2 * 0.75^2
P(x = 2) = 6 * 0.0625 * 0.5625
P(x = 2) = 0.2109375
P(x = 2) = 0.21 (2 decimal places)
Note : if the question was 3, then put, n = 3 instead of 4
Answer:
C) x = 8√3 ; y = 4√3
Step-by-step explanation:
In this figure, the triangle is 30°-60° right triangle.
So x/12= 2/√3, y/12 = 1/√3