Answer:

Step-by-step explanation:
Algebra
The equation is shown without proper format, we'll assume the correct equation is like

Multiplying all the equation by (x-2)(x+2)

Operating

Rearranging and simplifying

Answer: 25/676
Step-by-step explanation:
Number of possible outcomes = 26
In other to win, one must draw must be either (A, E, I, O or U)
Therefore required drws to win = 5
First draw:
P(win) = Total required outcome / Total possible outcome
P(win) = 5/26
Second draw:
P(win) = Total required outcome / Total possible outcome
P(win) = 5/26
Therefore,
P(winning twice) = (5/26) × (5/26) = 25/676
The answer is Y = -1/2x + 60
Answer:
The length of the arc is 1.0467
Step-by-step explanation:
First of all to solve this problem we need to use the circumferenc formula of a circle:
c = circumference
r = radius = 3
π = 3.14
c = 2π * r
we replace with the known values
c = 2 * 3.14 * 3
c = 18.84
The length of the circumference is 18.84
Now we have to divide the 20° by the 360° that a circle has, to know what part of the circle it represents
20° / 360° = 1/18
Now we multiply this fraction by the circumference and obtain the length of the arc
1/18 * 18.84 = 1.0467
The length of the arc is 1.0467
Answer:
x + 96 = 90°
x + 89 = 80°
Step-by-step explanation:
<u>Consecutive Interior Angles Theorem</u>
When a transversal line intersects two parallel lines, it forms two pairs of consecutive angles on either side of the transversal line. Each pair of consecutive interior angles are supplementary (sum to 180°).
<u>Question 1</u>
To find the measure of the angle, find the value of x by using the Consecutive Interior Angle Theorem:
⇒ (x + 96)° + (x + 96)° = 180°
⇒ x + 96 + x + 96 = 180
⇒ 2x + 192 = 180
⇒ 2x + 192 - 192 = 180 - 192
⇒ 2x = -12
⇒ 2x ÷ 2 = -12 ÷ 2
⇒ x = -6
Substitute the found value of x into the expression to find the measure of the angle indicated in bold:
⇒ x + 96 = -6 + 96 = 90°
<u>Question 2</u>
To find the measure of the angle, find the value of x by using the Consecutive Interior Angle Theorem:
⇒ (x + 109)° + (x + 89)° = 180°
⇒ x + 109 + x + 89 = 180
⇒ 2x + 198 = 180
⇒ 2x + 198 - 198 = 180 - 198
⇒ 2x = -18
⇒ 2x ÷ 2 = -18 ÷ 2
⇒ x = -9
Substitute the found value of x into the expression to find the measure of the angle indicated in bold:
⇒ x + 89 = -9 + 89 = 80°