These involve the rules for the power of a point. For questions 6-8, we use the theorem that the square of the length of the tangent is equal to the length of the secant multiplied by the length of its external segment.
6. 6^2 = (3)(x + 3)12 = x + 3x = 9 units
7. 4^2 = (2)(x + 2)8 = x + 2x = 6 units
8. 24^2 = (12)(x + 12)48 = x + 12x = 36 units
9. The included angle is half the difference of the larger and smaller arcs. Since the larger arc is 85 degrees, the smaller is 25 degrees, and the difference is 60. Half this difference is x = 30 degrees.
10. The angles at the intersection are vertical angles, so both equal to 65 degrees. Then the sum of the intercepted arcs must be equal to double of the vertical angle: 2 x 65 = 130 degrees. Since one is 95 degrees, the other is x = 130 - 95 = 35 degrees.
5+4+7+2=18
18-2=16
16/18
88% chance of selecting a marble that isnt white
The factors of this equation are x = sqrt(6), x = -sqrt(6) and x = -5.
In order to find these by grouping, we start by just taking the first two terms. We then pull out the greatest common factor.
x^2 + 5x^2
x^2(x + 5)
Now we do the same for the last two.
-6x - 30
-6(x + 5)
Since the two parenthesis left behind are exactly the same, we can use them along with the factors pulled out, multiplied together.
(x^2 - 6)(x + 5)
Now to find the factors, we simply set both parenthesis separately equal to 0.
x + 5 = 0
x = -5
x^2 - 6 = 0
x^2 = 6
x = +/-sqrt(6)
Answer: B) 375 reds
Step-by-step explanation:
Every 40 marbles 15 are red.
1000/40=25
25 x 15= 375
Answer:
neither
Step-by-step explanation:
From 3 to 7 the terms is added by 2 but after 7 the number does not follow the pattern so arithmetic is wrong
from 3 to 5 the terms can be multiplied by 5/3 but after 5 the term doesn't follow the pattern so geometric is out
so the answer is neither ig
