X=13 and z=112
you know that (13x-57) + (6x-10) = 180 since they are supplementary, so you will solve that. it will give you x=13. now that you know x, you can solve for z by plugging in 13 for x on 13(x)-57 since that and angle z are congruent. when you simplify, you will get z=112.
you can check your answer by doing (6x-10) +112=180. this is because they are supplementary. you should get x=13, and that is how you know you are right.
Answer:
It took Pedro <em>3.81 hours</em> to reach the lake.
Step-by-step explanation:
Time taken by Mike to hike a lake = 4.5 hours
Average rate of Mike while hiking the lake = 
Formula for distance can be seen as:
Distance traveled by Mike = 
Rate of Pedro while hiking the same distance = 
Given that, Pedro also travels the same distance.
And we have to find the Time.
It took Pedro <em>3.81 hours</em> to reach the lake.
C multiply 1/2 by 10 and 1/5 by 2
Answer:
Step-by-step explanation:
Given
Required
This is calculated as:
Since, it is a probability with replacement, we have:
So, we have:
For matrix subtraction, you subtract the corresponding cell of the second matrix from the first. So, looking at the first spot, you have 4 (from the first matrix) - 4 (from the second matrix) = 0 (the first number in the output matrix). Continuing that for the next spot, -4 - -3 = -4 + 3 = -1. Finally, -2 - 5 = -7. This means your answer is [0 -1 -7].
