The correct answer is -2
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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:
Step-by-step explanation:
Let x and y represent the cost of a cupcake and cookie respectively.
Given that;
Five cupcakes and two cookies cost $19.75.

Two cupcakes and four cookies cost $17.50.

Let's solve the simultaneous equation by elimination;
Multiply equation 1 by 2;

Subtract equation 2 from equation 3;


divide both sides by 8

Since we have the value of x, let substitute into equation 1 to get y;

therefore , the cost of cupcakes and cookies are;

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Answer:
The worth of the TV after 3 years is £809.90208
Step-by-step explanation:
The answer to given question can be found from the anual depreciation formula and solving for the Future Value (F. V.) of the machine
The given parameters of the TV are;
The amount at which Collin buys the TV, P = £720
The rate at which the TV depreciates at, R = 4%
The number of years the depreciation is applied, T = 3 years
The amount the TV is worth after three years, 'A', is given as follows;

By plugging in the known values, we have;

The amount the TV is worth after three years, A = £809.90208