Step-by-step explanation:
In figure:
∠PRT+∠RTP+∠TPR=180
O
(angle sum property of triangle)
⇒x+(180
O
−∠RTQ)+60
O
=180
O
(linear pair)
⇒x+(180
O
−97
0
)+60
o
=180
O
⇒x=31
o
Now, ∠PRT+∠TRQ+∠QRS=180
O
(angle of straight line)
⇒x+48
o
+y=180
O
⇒31
o
+48
o
+y=180
O
⇒y=101
0
Answer:
Yes, it is
Step-by-step explanation:
Given
The attached image
Required
Is AB a tangent to the circle
From the attached circle, we can see that AP is the radius of the circle P.
And by definition, a tangent touches the circle at only one point.
Since AB touches the circle at only point A, then AB is a tangent.
Answer:
3
Step-by-step explanation:
The equation being used to express the answer is called slope-intercept form.
y = m x + b
m is the slope, b is the y-intercept (where x = 0)
The formula to find slope (m) using two points is called point slope form.
m = (y1 - y2)/(x1 - x2)
Pick two coordinates and plug them in.
m = (1 - 4)/(0 - 1)
m = (-3/-1)
m = 3
Answer:
answer is first option

wherein, a = 1, b = -3, c = -5