Answer:
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (6, - 2)
d = 
= 
= 
= ← exact distance
40% of 65.00=0.40×65=26
65-26=39(your price)
sales tax(5%)=0.05×39=1.95 tax
39+1.95
=40.95(total)
Answer:
mDF = 90°
(Assuming arc mCE is 5x + 10)
Step-by-step explanation:
When we have two chords crossing in a circle, there is a property where the angle in the cross point is equal half the sum of the corresponding arcs.
So in this case, we have:
70° = (mCE + mDF)/2
Assuming mCE is 5x + 10, we have:
70 = (5x + 10 + 11x + 2)/2
70 = (16x + 12)/2
70 = 8x + 6
8x = 64
x = 8
So the arc mDF is:
mDF = 11x + 2 = 11 * 8 + 2 = 90°
Create equivalent expressions in the equation that all have equal bases.72(3x)=73(2x+1)72(3x)=73(2x+1)Since the bases are the same, then two expressions are only equal if the exponents are also equal.2(3x)=3(2x+1)
