Answer:
x = 30°.
Step-by-step explanation:
The dashes on the three lines indicate that the three lines are of equal lengths. The smaller triangle made out of the three lines (the one with two vertices on the circumference of the circle and one at the center of the circle) is an isosceles triangle. All three of the triangle's interior angles are 60° since it is isosceles.
The line (the one with arrows on its ends) touches the circle at only one point. That line is a tangent to the circle. That line is perpendicular to the segment that connects the center of the circle to the point of tangency. The angle between the two will be 90°.
The largest triangle includes three angles:
- The angle with the center of the circle as its vertice: 60°;
- The right angle due to the tangent to the circle: 90°;
- The angle x°.
What is the value of x?
The three interior angles of a triangle add up to 180°. As a result,
60° + 90° + x° = 180°
x = 180 - 90 - 60 = 30.
First you can solve the triangle. complete the triangle my making the final side which would equal 12 because the top and bottom are bith 6. and the bottom is 12 then you do 1/2(12)(12) to find the area which would be 72. the area of the rectangle would be 18 so the total would be 90ft^2 when you add them together
Answer:
10.63
Step-by-step explanation:
Data provided in the question
Data = 30 subjects
The Variance of scores = 113.00
The calculation of standard deviation is shown below:-
As we know that
Variance = Standard deviation^2
Therefore,
Standard deviation = 
= 
= 10.63
Therefore for computing the standard deviation we simply applied the above formula.
The formula of a slope:
We have the points (5, 2) and (0, -13). Substitute:
<h3>Answer: slope = 3</h3>
