Answer:
29°
Step-by-step explanation:
∠1 ≅ ∠8
3x+25 = 4x -17
42 = x . . . . . . . . . . add 17-3x
Now, we can find the measure of ∠1:
m∠1 = 3(42) +25 = 151
Angle 2 is the supplement to this, so has measure ...
m∠2 = 180° -151° = 29°
Its already in simplest form but you can convert it to a mixed fraction and get:
1 5/8
Answer:
10.2π
Step-by-step explanation:
Given data
Area of circle= 81 ft^2
Also, the expression for the area of a circle is
A=πr^2
substitute
81=3.142*r^2
r^2= 81/3.142
r^2= 25.77
square both sides
r= √25.77
r= 5.1
Also, the expression for the circumference is
C= 2πr
substitute
C= 2*π*5.1
C= 10.2π
Hence the circumference is 10.2π
Move all terms not containing x to the right side of the equation
x=9
Answer:
Graph of Option D represents
Step-by-step explanation:
we are given our function as
squaring on both sides we get
It represent a parabola opening towards the positive side of x axis. Hence it gives us some preliminary idea about the graph of the function we are given .
However our original function is 
Domain of
is all positive values of x
And square root of positive values will always result in positive values. Hence y can not be negative as the range is All positive values of y
Hence we erase the graph of
below x axis to obtain the graph of
