<em>D</em><em>:</em><em> </em><em>She</em><em> </em><em>needs</em><em> </em><em>to</em><em> </em><em>keep</em><em> </em><em>going</em><em> </em><em>to</em><em> </em><em>find</em><em> </em><em>more</em><em> </em><em>digits</em><em>.</em>
Completing the square
alrighty
minus 31 both sides
x²+12x=-31
take 1/2 of the linear coefient and square it
12 is the linear coefient
12/2=6, (6)²=36
add that to both sides
x²+12x+36=36-31
factor perfect square trinomial
(x+6)²=5
square root both sides, remember to take positive and negative root
x+6=+/-√5
so what you want to write is
x+6=√5 and
x+6=-√5
the solutions
minus 6 both sides
x=-6+√5 and -6-√5
Answer: m∠E = 20.5°
m∠GPF = 47°
Step-by-step explanation: An inscribed angle is an alge formed with its vertex on the circle. Its relation with arc is that the measure of an inscribed angle is half the measure of the intersected arc. For that reason:
m∠E = 
m∠E = 
m∠E = 20.5°
Angle in F is:
m∠F = 
m∠F = 
m∠F = 26.5°
The angle GPF is external to the triangle EPF, so the angle can be found by the following definition: The measure of an external angle of a triangle equals the sum of the non-adjacent angles, i.e.:
m∠GPF = m∠E + m∠F
m∠GPF = 20.5 + 26.5
m∠GPF = 47°
Answer:
C. Mushrooms
Step-by-step explanation:
Mushrooms are known to be decomposers, they break down nutrients.