12/25 that will be the answer so its the percent time always helps.
Answer:
The percent error of Heather's calculation is <u>8%</u>.
Step-by-step explanation:
Given:
Heather measures the temperature of her coffee to be 133.4 degrees fahrenheit. It is actually 145 degrees fahrenheit.
Now, to find the percent error of Heather's calculation.
The temperature of coffee Heather measures = 133.4° F.
Coffee's actual temperature = 145° F.
So, to get the measurement in error we subtract the temperature of coffee Heather measures from coffee's actual temperature:
![145-133.4=11.6\°.](https://tex.z-dn.net/?f=145-133.4%3D11.6%5C%C2%B0.)
Now, to get the percent error:
![\frac{11.6}{145}\times 100](https://tex.z-dn.net/?f=%5Cfrac%7B11.6%7D%7B145%7D%5Ctimes%20100)
![=\frac{1160}{145}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1160%7D%7B145%7D)
![=8\%.](https://tex.z-dn.net/?f=%3D8%5C%25.)
Therefore, the percent error of Heather's calculation is 8%.
Answer:
![\boxed{x=9}\\\boxed{z=76}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%3D9%7D%5C%5C%5Cboxed%7Bz%3D76%7D)
Step-by-step explanation:
Hello There!
<u>Geometry</u>
The angles shown represented by the expressions (11x + 5) and (5x+59) are vertical angles
Vertical angles are congruent so we can use this equation to solve for x
<u>Basic Algebra</u>
11x + 5 = 5x + 59
step 1 subtract 5x from each side
5x - 5x cancels out
11x - 5x = 6x
now we have 6x + 5 = 59
step 2 subtract each side by 5
5 - 5 cancels out
59 - 5 = 54
now we have 54 = 6x
step 3 divide each side by 6
6x/6=x
54/6=9
we're left with x = 9
now we want to plug in 9 into x for one of the expression
11(9) + 5
11 * 9 = 99
99 + 5 = 104
so we can conclude that the measure of the angle labeled ( 11x + 5 ) is 104 degrees
Now we need to find z
<u>Geometry</u>
The angle with a measure of 104 and angle Z are supplementary angles meaning that the sum of the two is 180
So to find z we subtract the known angle (104) from 180
180 - 104 = 76
so we can conclude that z = 76