<span>180-90-50=40 degrees</span>
Answer:
C
Step-by-step explanation:
Answer:

Step-by-step explanation:
we are given the endpoint i.e P and Q of a line segment
we want to figure out the Midpoint of the Line segment
in order to do so we can use Midpoint formula given by

so let

substitute

simplify addition:

simplify division:

hence,
the Midpoint of the line segment is (3,1)
ANSWER
C. 64.29
EXPLANATION
The bigger right triangle is similar to the smaller right triangle, therefore

Multiply both sides by 30;

Simplify


We correct to the nearest hundredthth to obtain,

The correct choice is C.
Answer:
a) probability that is cracked=1/30 (3.33%)
b) probability that is discoloured = 29/600 (4.83%)
c) probability that is cracked and discoloured = 11/600 (1.83%)
Step-by-step explanation:
assuming that each stone is equally likely to be chosen then defining the events C= the stone is cracked , D= the stone is discoloured , N= the stone is neither cracked or discoloured, then
P(C)= number of favourable outcomes/total number of outcomes = 20 stones/600 stones = 1/30 (3.33%)
P(D)= number of favourable outcomes/total number of outcomes = 29 stones/600 stones = 29/600 (4.83%)
the probability that is discoloured and cracked is P(C∩D) , where
P(C∪D)=P(C) + P(D)-P(C∩D)
and
P(C∪D)= 1- P(N)
thus
1- P(N)=P(C) + P(D)-P(C∩D)
P(C∩D)= P(N)+P(C)+P(D) -1
replacing values
P(C∩D)= P(N)+P(C)+P(D)=562/600 + 20/600 + 29/600 -1= 611/600 -1 = 11/600
thus
P(C∩D)= 11/600 (1.83%)