Answer:
x = 4
Step-by-step explanation:
Since the terms are in an arithmetic progression then there is a common difference between consecutive terms, that is
2x - 1 - (x + 1) = x + 5 - (2x - 1) ← distribute parenthesis on both sides
2x - 1 - x - 1 = x + 5 - 2x + 1, that is
x - 2 = - x + 6 ( add x to both sides )
2x - 2 = 6 ( add 2 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
The 3 terms are 5, 7, 9
Answer:11.25 is the answer
Step-by-step explanation:
we know that
area larger triangle (DEF)=[scale factor]²*area smaller triangle (ABC)
solve for scale factor
scale factor=√[area larger triangle/area smaller triangle]
scale factor=√[144/100]------> scale factor=1.2
therefore
measure EF=scale factor *measure BC
solve for measure BC
measure BC=measure EF/scale factor-------> 15/1.2------> 12.5 cm
the answer is
measure BC is 12.5 cm
Find the intersection point between the 2 restraint equations:
30 - 2x = 12 - \frac{1}{2} x \\ \frac{3}{2} x = 18 \\ x = 12
Substitute back in to find y-value:
y = 30 - 2(12) = 6
P is maximized at point (12,6)
P = 9(12)+9(6) = 162
Answer:
30 minutes
Step-by-step explanation:
15/25=18/x
25/15=x/18
18(25/15)=x
450/15=x
x=30
it will take 30 minutes
