Answer:
-4x + y + 6z
Step-by-step explanation:
Combine like terms (Terms with the same variable):
(2x + 5y - z) + (-6x - 4y + 7z)
Add straight across:
2x - 6x = -4x
5y - 4y = y
-z + 7z = 7z - z = 6z
-4x + y + 6z is your answer.
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Answer:
Step-by-step explanation:
Formula for straight lines:
where m = slope, b = constant
Given:
y-intercept = -3 (0, -3)
m = ⅛
Substitute into formula to find b.
Substitute b into original formula
<h3>
Answer: 120 degrees</h3>
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Work Shown:
n = number of sides = 6
i = measure of interior angle
i = 180(n-2)/n
i = 180(6-2)/6
i = 180(4)/6
i = 720/6
i = 120
Each interior angle of this regular hexagon is 120 degrees.
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Alternative Approach:
E = exterior angle
E = 360/n
E = 360/6
E = 60
Each exterior angle of this regular hexagon is 60 degrees
i+E = 180
i = 180-E
i = 180-60
i = 120
We get the same answer.
Answer: It is equal to the measure of angle C.
Step-by-step explanation:
If we know that Triangle ABC isosceles, then that means two sides and two angles are congruent to each other. Angle A must the topmost angle, and Angle B and C are probably the base angles. So, saying that, the base angles and sides are congruent to each other. Hence, Angle B must be equal to Angle C.
The average kitchen sink has a width of approximately 23.5 inches, a length of approximately 31.5 inches, and a depth of approximately 21 inches.
Multiplying these values together, we can see that the volume of the average kitchen sink is about 15545.25 cubic inches.
The conversion of cubic inches to liquid gallons is 1 cubic inch = approximately 0.004329 gallons.
Multiplying these numbers, we can see that 15545.25 cubic inches is the same as approximately 67.29538725 gallons. Now, we just have to multiply that number by 4, since there are 4 quarts in a gallon.
67.29538725 * 4 = 269.181549
It takes approximately 269.181549 quarts to fill the average kitchen sink.
Hope that helped =)
