Answer:
m∠QPR = 20°
Step-by-step explanation:
If we make a sketch of the triangle, it will be observed, that line R bisects angle P.
Considering Triangle, ΔQPS;
∠QPS=107∘
Considering triangle, QPR;
∠QPR=9x-115∘
Considering triangle, RPS;
∠RPS=4x+27∘
Thus, ∠RPS + ∠QPR = ∠QPS
4x+27° + 9x-115° = 107°
13x - 88° = 107∘
13 x = 107∘ + 88∘
13x = 195°
x = 195°/13
x = 15°
m∠QPR = 9x - 115°
= (9 x 15) - 115°
= 135° - 115°
= 20°
Therefore, m∠QPR = 20°
Answer:
-83
Step-by-step explanation:
x+(x+1)=number
x+(x+1)=-165
2x+1=-165
-1 -1
2x=-166
/2 /2
x=-83
We can check our work by adding -83+-82=-165 because -83 would be the smaller number.
-83.
Answer:
C. 
Step-by-step explanation:
You are given the exponential function 
From the table, 
at 
thus
![N(0)=a\cdot b^0\\ \\150=a\cdot 1\ [\text{ because }b^0=1]](https://tex.z-dn.net/?f=N%280%29%3Da%5Ccdot%20b%5E0%5C%5C%20%5C%5C150%3Da%5Ccdot%201%5C%20%5B%5Ctext%7B%20because%20%7Db%5E0%3D1%5D)
Also 
at 
thus
Since 
substitute it into the second equation
and the expression for the exponential function is
