The correct answer is the option A.
The explanation is shown below:
The option A is theoretical probability, because they did not make any experiment to determine the probability, while in the others options, they had to make equal tests for to determine the probability.
For example, Lisa had to attempted 25 basketball free throws to determine which one them she could make and, then, determine the probability. While Kelli did not have to make any test.
25+10 is the answer
In the Commutative law of addition, it says that a+b and b+a are the same which makes ab and ba equal to one another.
To prove just add 10+25 and 25+10to show that both results in 35 (aka the same answer)
1. Quadrilateral ABCD is inscribed in circle O
A quadrilateral is a four sided figure, in this case ABCD is a cyclic quadrilateral such that all its vertices touches the circumference of the circle.
A cyclic quadrilateral is a four sided figure with all its vertices touching the circumference of a circle.
2. mBCD = 2 (m∠A) = Inscribed Angle Theorem
An inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords.
Such that Inscribed angle = 1/2 Intercepted Arc
In this case the inscribed angle is m∠A and the intercepted arc is MBCD
Therefore; m∠A = 1/2 mBCD
4. The sum of arcs that make up a circle is 360
Therefore; mBCD + mDAB = 360°
The circles is made up of arc BCD and arc DAB, therefore the sum angle of the arcs is equivalent to 360°
5. 2(m∠A + 2(m∠C) = 360; this is substitution property
From step 4 we stated that mBCD +mDAB = 360
but from the inscribed angle theorem;
mBCD= 2 (m∠A) and mDAB = 2(m∠C)
Therefore; substituting in the equation in step 4 we get;
2(m∠A) + 2(m∠C) = 360
Answer:B
Step-by-step explanation:
The horizontal distance from A to the point = 3/10 * 14 = 4.2, so the c coordinate of the point is -3+ 4.2
= 1.2.
Vertical distance = 3/10 * 12 = 3.6
So the y coordinate = -5+ 3.6
= -1.4.
Answer is (1.2, -1.4)