Answer:
Here is a proof
Angle DEF = angle ABC
A transversal cutting two parallel lines makes alternate exterior angles equal
Sum of measures of angles 1 and 2 = 50° + 48° = 98° = measure of angle DEF = measure of angle ABC
But since s bisects angle ABC, then angle 4 = 98 / 2 = 49°
But angles 3 and 4 are vertical angles....therefore.... measure of angle 3 = 49°
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
6 to the second power is 36+6 is 42.
Answer:
A) 6x + 5y = 82
B) 2x + 5y = 54 We'll multiply equation B) by -1
B) -2x -5y = -54 Then we'll add this to A)
A) 6x + 5y = 82
4x = 28
x = 7
y = 8
Step-by-step explanation:
Answer: 24ways
Step-by-step explanation:
Given data:
No of men in the workplace = 7
No of women in the workplace = 1
How many ways can a group of 4 people carry out a project if on out of the 3 must be a woman.
Solution.
A group of 4 can carry out the project with one be a woman
This means there must be 3 males and 1 female in the group
= 4p3
= 24ways
The project can be carried out by 4 groups in 24 ways