Kristen completed 42 km. We will imagine that she ran all 6 hours. => 9 * 6 =54 km which is more than she actually completed. So we will find a 9 Multiple less than 42 km and that will be 36 km. (9 * 4 = 36 km completed by running) and the rest until 42 were completed by walking (3 * 2 = 6; 6 + 36 =42).
Answer:
2
Step-by-step explanation:
one+one=two
6x²+x-12
the first thing we need to do is find 2 numbers that add up to equal the middle term (1) but multiply together to get a product of -72 (-12*6)
two numbers that would fit this is 9 and -8
so now we placed 9x and -8x in place of the middle term
6x²+9x-8x-12
now we look for whats common between the first two numbers and divide them out
6x²+9x = 3x(2x+3)
now we do the same with the last two numbers
-8x-12 = -4(2x+3)
notice how the numbers in brackets are the same (2x+3)
we will keep (2x+3) and then combine the numbers on the outside
once we do that you should get an answer of
(3x-4)(2x+3)
hope this helped!
<h3>
Answer: Choice B</h3>
Angle 1 = 147 degrees
Angle 2 = 80 degrees
Angle 3 = 148 degrees
======================================================
Work Shown:
(angle 1) + 33 = 180
angle 1 = 180-33
angle 1 = 147 degrees
---------------
Focus on the left most triangle that has angles 33 and 47 as interior angles. The missing angle is 180-33-47 = 100 degrees
The angle exterior to this 100 degree angle is angle 2
angle 2 = 180-100 = 80
We have enough info to conclude the answer must be choice B.
---------------
Let's keep going to find angle 3
The vertical angle for the 100 degree angle is also 100 degrees. This second 100 degree angle is part of the triangle on the right
This triangle on the right has interior angles 100 and 48
The missing interior angle is 180-100-48 = 32
The angle supplementary to this is 180-32 = 148, which is angle 3.
Answer: 11/18
Step-by-step explanation: I've attached the explanation
