How many solutions does -3x+9=-3(2x+3)+3(x-4)+1 have
1 answer:
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Answer:
Step-by-step explanation:
Given : The total number of cards in a deck = 52
Number of red cards = 26
There are two types of red cards : diamond and heart.
Number of diamond cards = 13
The probability that the first card is a diamond :-
Since diamond is also a red card.
Now, the total cards left = 51
The number of red cards left = 12
The probability that the second card is a red card (without repetition) is given by :-
Now, the probability of choosing a red card for the second card drawn, if the first card, drawn without replacement, was a diamond :-
Answer:
Length of BE is
Step-by-step explanation:
The length of a side of a triangle is 36. A line parallel to that side divides the triangle into two parts of equal area. we have to find the length of the segment determined by the points of intersection between the line and the other two sides of the triangle.
Now, the two parts of triangle have equal area ∴ ar(ADE)=ar(BDEC)
⇒
⇒
In ΔABE and ΔABC,
∠A=∠A (Common)
∠ABE=∠ABC (Corresponding angles)
By AA similarity, ΔABE is similar to ΔABC.
Hence by area side proportionality theorem
⇒
⇒
⇒ units
Hence, length of BE is
