Answer: C) angle 2 and angle 7
Imagine the parallel lines form the boundaries of river. Angles 3, 4, 5 and 6 are considered interior angles as they are in the river. Angles 1, 2, 7, 8, 9 and 10 are exterior because they're outside the river.
Angles 2 and 7 are on opposite sides of the transversal cut that I've highlighted in red (see diagram below). So that's why they're considered alternate. Combine "exterior" and "alternate" to get "alternate exterior"
#4
White block(s) = 2
Red block(s) = 1
Purple block(s) = 3
Total = 2 +1 + 3 = 6 blocks
a) P(white) =
P(red) =
P(purple) =
b)Not white block:
1 -
OR
Because, when they say no white blocks, we simply do not count them and add the rest to find that probability without white blocks.
c) The probability stays the same: lets say now we have
4 white blocks, 2 red, and 6 purple, total will be 12
P(white)=
which is still
d) We get two more blocks in the numerator: lets say we have 4 white blocks, 3 red, 5 purple (after adding 2 of each color), total will be 12
P(purple)=
(im not quite sure if my explanation here helps you though)
e) 1 more of white and purple, 5 more of red
white = 3, purple = 4, red = 6, total = 12
(you can either add 2 to white or purple but make sure you add 5 of red)
P(red)=
=
An obtuse triangle has those measurements
Answer:
<h3>-16</h3>
Step-by-step explanation:
PEMDAS- (Parenthesis, Exponents, Multiply, Divide, Add, and Subtract) from left to right.
BOMDAS- (Brackets, Of, Multiply, Divide, Add, and Subtract) from left to right.
(-8)2
-8*2 (First, remove parenthesis.)
-8*2=-16
-16
Therefore, the final answer is -16.
(y-4)(y^2+4y+16)
y^3+4y^2+16y-4y^2-16y-64=y^3+4y^2+ay-4y^2-ay-64
Comparing the coefficients: a=16
Answer: The value of a in the polynomial is 16
