BE is congruent to overline CF since they are altitudes of the same trapezoid(S).
AB is congruent to overline CD (Given)
AE is congruent to overline FD by the Hypotenuse Leg Theorem.
triangle ABC is congruent to triangle DCF (SSS Triangle Congruence)
angle A is congruent to angle D since corresponding parts of congruent triangles are congruent.
The y intercept is the value of y when x=0. Substituting we get
y = 4
Answer: 4
Answer: a. 1/6. b. 2/3. c. 5/6
Step-by-step explanation:
Number of adults randomly selected= 6
a. Finding the probability of adults that have cheated on an examination before is exactly 4.
The numbers are 1, 2, 3, 4, 5 and 6.
Probability of chosen exactly 4 will be 1/6 since 4 can only occur once.
b. More than 2means 3,4, 5 and 6.
Probability that the number of adults that have cheated on a test or exam is more than 2 will be:
4/6 = 2/3
c. At most 5 means 1,2,3,4 or 5
This will give 5/6
Answer:



Step-by-step explanation:
We know that the point (-6, 1) belongs to the main function g(x)
The transformation

add 1 to the input variable (x) and subtract 5 to the output variable (y)
So the point in the graph of
is


The point is: 
The transformation

subtract two units from the input variable (x), multiply the output variable (y) by -2 and then add 4 units
So the point in the graph of
is

The point is: 
The transformation

Multiply the input variable (x) by 2 and then add two units
So the point in the graph of
is


The point is: 
Answer: 13:15
26:30
39:45
52:60
Step-by-step explanation: