Answer:
-82, -83, -84
Step-by-step explanation:
Using a variable and corresponding expressions, we can set the sum of the consecutive integers equal to -249 and solve:
first integer: x
second integer: x + 1
third integer: x + 2
x + x + 1 + x + 2 = -249
Combine like terms: 3x + 3 = -249
Subtract 3 from both sides: 3x + 3 - 3 = -249 - 3 or 3x = -252
Divide both sides by 3: 3x/3 = -252/3
Solve for x: x = -84
first integer: -84
second integer: -84 + 1 = -83
third integer: -84 + 2 = -82
The geometric sequence is a sequence in which the proceeding number is equal to the preceeding number multiplied by a ratio. The expression that represents this sequence is an = a1*r^(n-1) where r is the ratio and n is an integer. This type of formula is exponential
Answer:
Angle A = 50
Step-by-step explanation:
We know the 3 angles of a triangle add to 180
A + B+C = 180
2x-10 + 70 + x+30 = 180
Combine like terms
3x+90 = 180
Subtract 90 from each side
3x+90-90=180-90
3x = 90
Divide by 3
3x/3 = 90/3
x = 30
We want to find angle A
Angle A = 2x-10
= 2(30) -10
= 60-10
= 50
So his container holds 175 milliliters of cranberry juice.<span />
Slope: (y2-y1)/(x2-x1)
(17-(-11))/(-9-5) = 28/-14 = -2
The slope is -2