Answer:
He will use the D box because it has a volume of
Step-by-step explanation:
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Answer:
Explanation:
AB = BC
=> Triangle ABC is an Isosceles Triangle
Thus, Angle C = Angle A
DE = BE
=> Triangle DEB is an Isosceles Triangle
Thus, Angle D = Angle B
Proof that triangle ABC and DEB are similar:
Angle DBE = Angle A (corresponding angle)
Angle BDE = Angle C (Both Triangle are Isosceles, if one pair of the angle are equal then the other pair should also be equal)
=> Triangle ABC ~ Triangle DEB (AA)
Therefore, Angle E = Angle B
Find angle B:
Angle C + Angle A + Angle B = 180
40 + 40 + angle B = 180
Angle B = 180 - 80
Angle B = 100 degree
But Angle B = Angle E = 100 degree
Therefore, Angle E = 100 degree
Hello Bri,
If you are talking about a boundary line on a coordinate plane, the best way to determine which side to shade is to start by selecting a coordinate point (x, y) that is not on the line.
Then, substitute those values into your inequality. Simplify the inequality. If the resulting statement is true, then shade the side with your point. If the resulting statement is false, then shade the other side.
Testing a point like this shows the side of the inequality that is the solution and needs to be shaded.
Good luck!
Answer:
–x² + 12x + 5
Step-by-step explanation:
x² + 3x
–2x² + 9x + 5
The sum of the above expression can be obtained as follow:
.... x² + 3x
+ –2x² + 9x + 5
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
–x² + 12x + 5
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
Thus, the sum of x² + 3x and –2x² + 9x + 5 is –x² + 12x + 5
Answer:
16, 8, 23
Step-by-step explanation:
2x+x+x+15=47
4x+15=47
4x=32
x=8
2x=16
x+15=23
