You randomly select one card from a 52-card deck. find the probability of selecting the four of spades or the six of diamonds.

1/26

Step-by-step explanation:

There's only 1 four of spades and only 1 six of diamonds.  So the probability is:

P = P(4 of spades) + P(six of diamonds)

P = 1/52 + 1/52

P = 1/26

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180