Answer:
y=14
Step-by-step explanation:
Since this is an isosceles triangle due to opposite sides being congruent, the base angles would also be congruent.
plug in 25 in 2x and you would get 50°
Since the sum of a triangle is 180° you could set up an equation ![50+50+5y+10=180](https://tex.z-dn.net/?f=50%2B50%2B5y%2B10%3D180)
Then, add 50+50=100+10=110
then you would then have ![5y+110=180\\](https://tex.z-dn.net/?f=5y%2B110%3D180%5C%5C)
subtract 110 from 180, leaving you with 70
![5y=70](https://tex.z-dn.net/?f=5y%3D70)
then divide and you would get 14
Check:
5(14)+10+50+50= 180
See image below it keeps going
Answer:
Z - score = 2.83
Step-by-step explanation:
Given the following :
Number of samples (N) = 60
Sample mean (x) = 41.9mg
Population mean (μ) = 40mg
Population standard deviation (sd) = 5.2
Using the relation :
Z = (x - μ) / (sd / √N)
Z = (41.9 - 40) / (5.2 / √60)
Z = 1.9 / (5.2 / 7.7459666)
Z = 1.9 / 0.6713171
Z = 2.8302570
Therefore, the z-score = 2.83
Answer:
2/3x+8=y
Step-by-step explanation:
8x-12y=-96
8x+96=12y
8/12x+8=y
2/3x+8=y
The correct answer is the third option, which is:
6 inches²
The explanation is shown below:
1. You are working with the areas of the pentagons shown in the figure above. Therefore, the ratios are:
side1²/side2²=A1/A2
(7.5)²/(2.5)²=54/A2
Where A2 is the the area of the smaller pentagon.
2. Therefore, you have that the result is:
A2=6 inches² (As you can see, it is the third option mentioned above).