48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
48 divided by 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
16: 1, 2, 4, 8, 16
16 divided by 1, 2, 4, 8, 16
Dividing by a number without a remainder.
GCF = 16 48: 2,2,2,2,3
16: 2,2,2,2
Answer:
y = -1/3x +3
Step-by-step explanation:
When given a point and slope, it is convenient to start with a point-slope form of the equation of a line.
y = m(x -h) +k . . . . . line with slope m through point (h, k)
y = (-1/3)(x -3) +2 . . . line with slope -1/3 through point (3, 2)
y = -1/3x +3 . . . . . . . simplified to slope-intercept form
A pair of angles, which are either adjacent or non-adjacent, whose sum is 90 degrees, is classified and known as Complementary Angles. Complementary Angles are made from adjacent or non-adjacent angles, when added to together, their sum is equal to 90 degrees.
Answer:
- m∠A ≈ 53.13°
- m∠B ≈ 73.74°
- m∠C ≈ 53.13°
Step-by-step explanation:
An altitude to AC bisects it and creates two congruent right triangles. This lets you find ∠A = ∠C = arccos(6/10) ≈ 53.13°.
Since the sum of angles of a triangle is 180°, ∠B is the supplement of twice this angle, so is about 73.74°.
m∠A = m∠C ≈ 53.13°
m∠B ≈ 73.74°
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The mnemonic SOH CAH TOA reminds you of the relation between the adjacent side, hypotenuse, and trig function of an angle:
Cos = Adjacent/Hypotenuse
If the altitude from B bisects AC at X, triangle AXB is a right triangle with side AX adjacent to the angle A, and side AB as the hypotenuse. AX is half of AC, so has length 12/2 = 6, telling you the cosine of angle A is AX/AB = 6/10.
A diagram does not have to be sophisticated to be useful.