You will have to find what x is to get your answer solve each to find the answer
Answer:
We conclude that segment QR is the shortest.
Hence, option B is true.
Step-by-step explanation:
First, we need to determine the missing angle m∠R
Given the triangle Δ∠PQR
m∠P = 48°
m∠Q = 83°
m∠R = ?
We know the sum of angles of a triangle is 180°.
m∠P+m∠Q+m∠R = 180°
48°+83°+m∠R=180°
m∠R = 180° - 48° - 83°
m∠R = 49°
Thus, the value of m∠R = 49°
We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.
Here,
m∠P = 48° is the shortest angle.
As the side QR segment is opposite the smallest angle i.e. m∠P = 48°
Therefore, we conclude that segment QR is the shortest.
Hence, option B is true.
The probability would be 2/6 or 1/3
<h2>
Hello!</h2>
The answer is:
The missing step is the step shown in the last option:
D. ![324=0.042x+16](https://tex.z-dn.net/?f=324%3D0.042x%2B16)
<h2>Why?</h2>
To find which is the missing step, we need to remember that to cancel a square root, we need to elevate it, so:
Starting from the last step before the missing step, we have:
![-18=-\sqrt{0.042x+16}](https://tex.z-dn.net/?f=-18%3D-%5Csqrt%7B0.042x%2B16%7D)
In order to calculate the value of the variable (x) we need to square both sides of the equation, since squaring a root will cancel the root.
We must remember the following properties:
![\sqrt{a^{m} }=a^{\frac{m}{2}}\\\\(a^{b})^{c}=a^{b*c}](https://tex.z-dn.net/?f=%5Csqrt%7Ba%5E%7Bm%7D%20%7D%3Da%5E%7B%5Cfrac%7Bm%7D%7B2%7D%7D%5C%5C%5C%5C%28a%5E%7Bb%7D%29%5E%7Bc%7D%3Da%5E%7Bb%2Ac%7D)
Now, finding the missing step, we need to find what to do in order to get the expression of the following step.
So, squaring both sides of the equation in order to cancel the square root and isolate the variable, we have:
![-18=-\sqrt{0.042x+16}\\\\(-18)^{2} =(-\sqrt{0.042x+16})^{2} \\324=0.042x+16\\324-16=0.042x\\\\x=\frac{304}{0.042}=7333](https://tex.z-dn.net/?f=-18%3D-%5Csqrt%7B0.042x%2B16%7D%5C%5C%5C%5C%28-18%29%5E%7B2%7D%20%3D%28-%5Csqrt%7B0.042x%2B16%7D%29%5E%7B2%7D%20%5C%5C324%3D0.042x%2B16%5C%5C324-16%3D0.042x%5C%5C%5C%5Cx%3D%5Cfrac%7B304%7D%7B0.042%7D%3D7333)
Hence, we found the the missing step is:
D. ![324=0.042x+16](https://tex.z-dn.net/?f=324%3D0.042x%2B16)
Have a nice day!
Answer:
x=24 ,y=156 ,z=24
Step-by-step explanation:
using linear pair 180 degrees