Answer:
3
Step-by-step explanation:
Given a line with points; (2, 5) (3, 8).
1. Find the slope of the given line
The formula for finding the slope is:

Substitute in the values;


simplify;

= 3
2. Find the slope of the parallel line;
Remember, when two lines are parallel, they run alongside each other, of infinitely long, but they never touch. Hence two parallel lines have the same slope. Therefore, the slope of a line that is parallel to the given one will also have the same slope as the given one, which is 3.
Answer:
c) 110°
Step-by-step explanation:
Arc FP is twice the measure of the marked angle, so is 70°. If FD is supposed to be a diameter, then arc FPD is a semicircle (180°) and arc PD is 180° -70° = 110°.
Answer:
1/6
Step-by-step explanation:
total no of out comes= 6
favourable out comes= 1
:. prob( getting 4)=1/6
Answer:
B
Explanation:
Theoretical probability is a method to express the likelihood that something will occur. It is calculated by dividing the number of favorable outcomes by the total possible outcomes.
The empirical probability, relative frequency, or experimental probability of an event is the ratio of the number of outcomes in which a specified event occurs to the total number of trials, not in a theoretical sample space but in an actual experiment.
Answer:

Step-by-step explanation:
the volume of a cylinder is given by:

and the volume of a cone is given by:

since both have the same height and radius, we can solve each equation for
(because this quantity is the same in both figures) and then match the expressions we find:
from the cylinder's volume formula:

and from the cone's volume formula:

matching the two previous expressions:

we solve for the volume of a cone
:

substituting the value of the cylinder's volume 
