Answer:
Age of teacher = 32 years
Step-by-step explanation:
Average age of 15 students = 16 years
Sum of age of 15 students = 16 * 15 = 240 years
Average of age 15 students and a teacher = 17 years
Sum of age 15 students and a teacher = 17 * 16 = 272 years
Age of teacher = 272 - 240 = 32 years
Answer:
Step-by-step explanation:
Alright, lets get started.
When two secants intersects outside a circle then the measure of the angle formed is half of the positive difference of the measures of the intercepted arcs. (Please refer the diagram I have attached)
Hence the measure of ∠1 is :
∠1=
∠1=
hence the answer is 35°. : Answer
Hope it will help :)
The sign of the product would be the postitive sign because all three integers have the same sign.
Answer:

Step-by-step explanation:
Use:



Given that quadrilateral QRST is a square.
Each angle of a square is of 90 degrees.
Angle <RQT is also an angle of 90 degrees.
We also given angle RQT = 3x - 6.
So, we can setup an equation as 3x-6 =90.
Now, we need to solve the equation for x.
6 is being subtracted from left side.
We always apply reverse operation. Reverse operation of subtraction is addition.
So, adding 6 on both sides of the equation, we get
3x-6+6 =90+6.
3x = 96.
3 is being multipied with x, in order to remove that 3, we need to apply reverse operation of multiplication.
So, dividing both sides by 3.

x=32 (final answer).