7,5
these two are the ones for prime numbers between 7 and 35
Both sides need to equal 180 (The side with the 90 degrees measurement and the side with equations). So first subtract 180 from 90

to get the measurement of 5x and you get 90 but we aren't done yet since we need to find x so now we need to divide 5 by 90

and we get 18 which is X.

Now we need to find the measurement of Y. Now both angles on that side together equals 180 so we need this equation.

First, distribute 5(y + 11)

Then you get this equation :

Now, add the two equations together

and you get this equation

Now subtract 45 from both sides

and divide by 9 on both sides

and you get your answer

So

and
Answer:x= 36 y= 67 and z=77
Step-by-step explanation: we have to write the equations from the data give in the exercise, this means :
First of all, x,y and z correspònd to the first, second and third angles, respectively.
The sum of the measures of the angles of a triangle is 180
can be written as x+y+z=180
The sum of the measures of the second and third angles is four times the measure of the first angle.
It can be written by: x+y=4z
The third angle is 10 more than the second
It can be written as z=y+10
By solving the equations systems the above values can be determined.
x+y+z=180
x+y=4z
z=y+10
Step-by-step explanation:
The product is carbon dioxide and water
Answer:
The value of the test statistic is -1.53
Step-by-step explanation:
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 96 hours
Sample mean,
= 95 hours
Sample size, n = 150
Alpha, α = 0.05
Population standard deviation, σ = 8 hours
Formula:
Putting all the values, we have
Thus, the value of the test statistic is -1.53