In circle T, what is the value of x?
2 answers:
Answer:
x = 19°
Step-by-step explanation:
Refer the attached figure
Given : ∠ACB = 71°
∠BAC = x°
Thales' theorem : If A, B, and C are distinct points on a circle where the line AC is a diameter, then the angle ∠ABC is a right angle.
So, by Thale's theorem ∠ABC is a right angle in the given figure
i.e.∠ABC = 90°
In ΔABC ,
To find x we will use angle sum property of triangle
Angle sum property of triangle : Sum of all angles is 180°
⇒∠BAC+∠ABC+∠ACB = 180°
⇒x°+90°+71° = 180°
⇒x°+161° = 180°
⇒x° = 180°-161°
⇒x° =19°
∠BAC = x° =19°
Thus x = 19°
Hence Option 1 is correct .
You might be interested in
The inequality represented by the graph is
The attached image represents the missing piece of the question
From the graph, we can see that the inequality is represented by dotted lines and the down region is shaded.
This is represented using the less than sign.
So, the inequality is calculated using:
Where:
(x1, y1) = (0, 1) and (x2, y2) = (5,0)
So, we have:
Evaluate
Hence, the inequality represented by the graph is
Read more about inequality at:
#SPJ1
Answer:
-7 is in our domain.
0 is in our domain
7 is not in our domain.
Step-by-step explanation:
So we have the rational function:
The domain restrictions of rational functions are the zeros of the denominator. In other words, the domain of rational functions are always all real numbers except for the zeros of the denominator.
So, solve for the denominator by setting it to 0:
Add 7 to both sides:
So, our domain is all real numbers except for 7.
(When x=7, we have 7/0, which is undefined.)
Therefore:
-7 is in our domain.
0 is in our domain
7 is not in our domain.