Answer:
m(arc AC) = 72°
m(arc BD) = 108°
m∠DEB = 90°
Step-by-step explanation:
Ratio of the measure of arc AC, arc BC, arc BD and arc AD = 4 : 2 : 6 : 8
Since, m(arc AC) + m(arc CB) + m(arc BD) + m(arc AD) = 360°
By the property of ratio,
Measure of arc AC = 
= 
= 72°
Measure of arc BD = 
= 
= 108°
Measure of ∠DEB = 
= 
= 90°
Answer:
0.220 L
Step-by-step explanation:
One liter is 1000 mL, so 2,220 mL is 2.220 L. Subtracting the 2 L on hand gives the additional amount required:
2.220 L - 2 L = 0.220 L
_____
The nice thing about metric units is that conversion factors are often powers of 10, so only movement of the decimal point is required. It can be worthwhile to become familiar with the SI prefixes.
Answer:
Step-by-step explanation:
The two equations are 8x-10y=-23 and 9x+10y=-16.
If you plug them both into a graphing calculator, you will see that the point where they cross (the solution) is (-2.3, 0.5).
The answer is A.
6n-15=n
minus n both sides
5n-15=0
add 15 both sides
5n=15
divide both sides by 5
n=3
de number is 3
The easiest way, I think, is to convert the mixed number into an improper fraction, then multiply by 3.
3 1/2 = 7/2
7/2 · 3 = 21/2
now just change the improper fraction back to a mixed number by dividing and putting the remainder into fraction form
21/2 = 10 1/2
You could also multiply the whole number by 3 and the fraction by 3, ending up with 9 3/2, but then have to convert the improper fraction into a mixed number
3/2 = 1 1/2
then add the numbers together
9 + 1 1/2 = 10 1/2
either way works, whatever is easiest for you.