Answer:
x = 6
Step-by-step explanation:
Since KN is the perpendicular bisector, that means ∠KNM = ∠KNQ = 90° and MN = NQ so therefore, since they are right triangles, ΔKNM ≅ ΔKNQ because of HL. Therefore, KM = KQ by CPCTC so:
5x - 3 = 3x + 9
2x = 12
x = 6
Area of cylinder = 2 pi r h + 2 pi r^2
= 2 * 3.14 * 4 * 12 + 2 * 3.14 * 4^2
= 301.44 + 100.48
Area of cylinder = 401.92 cm^2
Answer:
D because the BC is the radius line
Answer:
Step-by-step explanation:
1/2x-33/2=1/2(x-33)
Answer:
Angle A = 37 degrees, and Angle B = 53 degrees.
Step-by-step explanation:
We know that this is a right triangle, where angle C is 90 degrees. Since we know the sum of all these angles is 180 in any triangle, we can create an equation.
Angle A = 6x + 7
Angle B = 11x-2
Angle C = 90 degrees
A + B + C = 180
Substitute:
6x + 7 + 11x - 2 + 90 = 180
17x + 5 + 90 = 180
17x + 5 = 90
17x = 85
x = 5
Now substitute 5 for x in both acute angles and you will get your answer.
Angle A = 6(5) + 7
Angle A = 30 + 7
Angle A = 37
Angle B = 11(5) - 2
Angle B = 55 - 2
Angle B = 53
Angle A = 37 degrees, and Angle B = 53 degrees.
Hope this helps.
