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.
Answer:
[-8, 7]
Step-by-step explanation:
The range is the set of values used for the y-coordinates of the all the points of the function.
The highest value of the function is at point (8, 7), so the greatest value y has is 7.
The lowest point of the function is at point (-3, -8), so the least value of y is -8.
Range: [-8, 7]
Answer:
A.0
Step-by-step explanation:
y=4x²- 9x + 9
The function will intersect the x-axis when y = 0.
4x² - 9x + 9 = 0
a=4, b= -9, c=9
D=b² - 4ac = (-9)²- 4*4*9=81 - 144= - 63
D= -63, D<0, so the equation
4x² - 9x + 9 = 0 does not have real roots. That means that function y=4x²- 9x + 9 does not intersect x- axis. So, answer is A. 0.
We are required to find the price of the first game
The price of the first game is $20
Given:
let
price of the first game = x
price of the second game = x + 50% of x
= x + 0.5x
= 1.5x
Price of the third game = 50% of 1.5x
= 0.5 × 1.5x
= 0.75x
Total cost of game = $65
<em>Total cost of game = price of the first game + price of the second game + Price of the third game</em>
65 = x + 1.5x + 0.75x
65 = 3.25x
divide both sides by 3.25
x = 65 ÷ 3.25
x = 20
Therefore, the price of the first game is $20
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brainly.com/question/291220
