Answer:
x = 42
Step-by-step explanation:
The square at ∠C means it is a right angle (90°). The sum of the angles of a triangle is 180°. Use the information to solve for ∠B.
![x+48+90=180\\x+138=180\\x=42](https://tex.z-dn.net/?f=x%2B48%2B90%3D180%5C%5Cx%2B138%3D180%5C%5Cx%3D42)
Answer:
Step-by-step explanation:
I think in this question we have to find slope, if so, its y = 10x.
to find the slope just pick two numbers, i chose (2,20) and (7,70) and then put them in the slope formula y2-y1/x2-x1. That gave me 10. I hope its correct. :)
Answer:A gaming store can sell at most $3400 worth of games and controllers per day. Each game costs $40 and each controller costs $65. The store can ship a maximum of 20 items per day. Write a system of linear inequalities to represent this scenario.
Step-by-step explanation:
ΔADB is a right triangle at ∠D
So, AB ⇒ Hypotenuse & AD,DB ⇒ Legs
∴ ![AD = \sqrt{AB^2 - DB^2} = \sqrt{20^2 - 16^2}=\sqrt{400-256} =\sqrt{144} =12](https://tex.z-dn.net/?f=AD%20%3D%20%5Csqrt%7BAB%5E2%20-%20DB%5E2%7D%20%3D%20%5Csqrt%7B20%5E2%20-%2016%5E2%7D%3D%5Csqrt%7B400-256%7D%20%3D%5Csqrt%7B144%7D%20%3D12)
ΔADC is a right triangle at ∠D
So, AC ⇒ Hypotenuse & AD,DC ⇒ Legs
![CD = \sqrt{AC^2 - DC^2} = \sqrt{15^2 - 12^2}=\sqrt{225-144} =\sqrt{81} =9](https://tex.z-dn.net/?f=CD%20%3D%20%5Csqrt%7BAC%5E2%20-%20DC%5E2%7D%20%3D%20%5Csqrt%7B15%5E2%20-%2012%5E2%7D%3D%5Csqrt%7B225-144%7D%20%3D%5Csqrt%7B81%7D%20%3D9)
∴ BC= BD+ DC = 16 + 9 = 25
∴ The perimeter of triangle ABC = AB + BC + CA = 20 + 25 + 15 = 60.
<u>So, The correct answer is option C. 60</u>
Answer:
2.571428
Step-by-step explanation:
The mean absolute deviation of a dataset is the average distance between each data point and the mean.