Answer:
Step-by-step explanation:
√80 = √(2⁴ × 5) = √2⁴ × √5 = 4√5
5 × 8√80 = 160√5
Answer:
The probability of selecting a black card or a 6 = 7/13
Step-by-step explanation:
In this question we have given two events. When two events can not occur at the same time,it is known as mutually exclusive event.
According to the question we need to find out the probability of black card or 6. So we can write it as:
P(black card or 6):
The probability of selecting a black card = 26/52
The probability of selecting a 6 = 4/52
And the probability of selecting both = 2/52.
So we will apply the formula of compound probability:
P(black card or 6)=P(black card)+P(6)-P(black card and 6)
Now substitute the values:
P(black card or 6)= 26/52+4/52-2/52
P(black card or 6)=26+4-2/52
P(black card or 6)=30-2/52
P(black card or 6)=28/52
P(black card or 6)=7/13.
Hence the probability of selecting a black card or a 6 = 7/13 ....
B. same side interior angles are supplementary when two parallel lines are crossed by a transversal (PV and QM are two parallel lines crossed by TL)
c. definition of supplementary angles the definition of supplementary means that they add up to 180 degrees and you concluded in b that <1 and <2 are supplementary
e. definition of congruent angles two angles that are congruent have the same measure
g. definition of supplementary angles two angles that add up to 180 are supplementary
h. if the same side interior angles are supplementary when two lines are intersected by a transversal then the lines are parallel ( TL and VM are intersected by QM and <2 and <3 are supplementary)
Answer: 2< x < 10, closed circle at 2 and 10, line inbetween them
Step-by-step explanation: