Step-by-step explanation:
Sum of angles in a triangle = 180°.
Question 3:
We have 90° + 61° + (14x + 1)° = 180°.
=> 14x° + 152° = 180°
=> 14x° = 28°
=> x = 2.
Question 4:
We have 70° + 55° + (4x + 3)° = 180°.
=> 4x° + 128° = 180°
=> 4x° = 52°
=> x = 13.
Answer:
After 4 days, the number of people attending both conferences be the same.
Step-by-step explanation:
We are given the following in the question:
Maths conference:
Number of people already signed = 7
Number of people who sign up each day = 2
Thus, the number of people who will sign up for maths conference in x days will be given by the linear function:

History conference:
Number of people already signed =11
Number of people who sign up each day = 1
Thus, the number of people who will sign up for maths conference in x days will be given by the linear function:

Both conference will have same number of people when

Thus, after 4 days, the number of people attending both conferences be the same.
Answer:
Step-by-step explanation:
Answer:
(-5, 1)
Explanation:
We are given a kite on the graph which is rotated 180° clockwise about the origin and then reflected over the Y axis followed by reflection over the X axis.
We are to find the coordinates of point A after the complete transformation.
A (-5, 1)
When a point is rotated 180° clockwise about the origin, the signs of its coordinates change.
A (-5, 1) ---> A' (5, -1) - after clockwise rotation of 180 degrees about origin
Then this point A' is reflected over the Y axis where the y coordinate remains the same but x coordinate changes its sign.
A' (5, -1) ---> A'' (-5, -1) - after reflection through y axis
Now this point A'' is reflected over the X axis where the x coordinate remains the same while y coordinates changes its sign.
A'' (-5, -1) ---> A''' (-5, 1) - after complete transformation
Ten thousand - 10,000
thousand literally just haves 1,000
if the twenty is before the three zeros, it would be 20,000 which is twenty thousand. its the same with other numbers. its super simple!
Answer: 106.63 feet
Step-by-step explanation: how this helps :)