77 - (-145) = 77 + 145 = 222
We know that there are 36 number cards and 16 face cards in standard deck of 52 cards. Now choose two cards without replacement from 52 cards.
The number of ways of choosing any 2 cards without replacement from 52 cards is
.
The number of ways of choosing 2 number cards without replacement from 36 cards is
.
The required probability is

Correct choice is (A).
Answer:
Kite is a quadrilateral in which two disjoint pairs of consecutive sides are congruent
Given: In kite PQRS
where PR and SQ are the diagonals of Kite respectively as shown in the figure given below.
Given: TQ = 3 cm and TP = 4 cm
Let PR is the main diagonal and SQ is the cross diagonal of kite PQRS as shown in figure, also let T is the intersection point of PQRS.
By Property of Kite, diagonal SQ bisects PR at perpendicular angle i.e, 90 degree.
i,e
Then, in right angle ΔQTP
[Using Pythagoras theorem]
Substitute the given values of TQ and TP we have;

Also, PQ = SP [by definition of kite]
therefore, the side SP = 5 cm.
Answer:
Step-by-step explanation:
12x² + 17x -5 = 12x² + 20x - 3x - 5
= 4x(3x + 5) -(3x + 5)
= (3x + 5)(4x - 1)
6x² + 7x - 5 = 6x² + 10x - 3x - 5
= 2x(3x + 5) -(3x+5)
= (3x + 5)(2x - 1)

