Answer: (20) x = 8 , (21) x = 4√3 , (22) x = 9 , (23) x = 2√3 , (24) x = 140° , (25) x = 82°
<u>Step-by-step explanation:</u>
20) Given two intersecting chords inside a circle, the product of their segments is equal.
5 * x = 4 * 10
5x = 40
x = 8
21) Given a secant and a tangent line, the product of the outside segment and the entire segment length equals the square of the tangent segment.
4 * (8 + 4) = x²
4 (12) = x²
48 = x²
√48 = √x²
4√3 = x
22) Given two secant lines, the product of their outside segments and the entire segment lengths are equal.
4 * (5 + 4) = 3 * (3 + x)
4(9) = 3(3 + x)
4(3) = 3 + x
12 = 3 + x
9 = x
(23) Given two intersecting chords inside a circle, the product of their segments is equal.
6 * 2 = x * x
12 = x²
√12 = √x²
2√3 = x
24) 
(outside arc - inside arc) = vertex angle
(30 - inside arc) = 10
30 - inside arc = 20
- inside arc = -10
inside arc = 10
outside arc + x + inside arc = 180 <em>because they form a semi circle</em>
30 + x + 10 = 180
40 + x = 180
x = 140
25) opposite angles of a quadrilateral inscribed in a circle are supplementary
98 + x = 180
x = 82
Answer:
460
Step-by-step explanation:
Hope this helps. Solution is attached on the image above.
Total number of sports cards = 15 + 18 = 33
So if they are divided into 3 groups the number in each group = 33/3 = 11 cards Answer.
Answer:
7.) 7
10.) 0
Step-by-step explanation:
When it means "evaluate the function", it's in essence asking us to see what the function spits out when we feed it a certain input. Our inputs are our x values, which spit out a y value.
Evaluating the function when x = 1:
Let's look at where the function has an x value of 1. We see it near the bottom of the table and see the y value associated with the input is 7. So when the function is fed 1 as an input, it spits out 7.
Evaluating the function when f(x) = - 2:
This one is a weird because of the new notation. Just think of it as some value of f, which we don't know (so we represent it as an x-variable) must equal -2. So let's look at our table to find out where our output is -2. We find that when f(x) = -2 the input is 0. So the input which gives -2 is 0.
