The coordinates of point K(7, 0).
Given, JK has midpoint M(7, 2).
And, the coordinates of point J(7, 4).
We have to find the coordinates of point K.
As M is the midpoint, therefore by using the midpoint formula.
(xₙ + yₙ) = (x₁ + x₂/2 , y₁ + y₂/2)
Using x-coordinates,
xₙ = x₁ + x₂/2
7 = x₁ + 7/2
14 = x₁ + 7
or x₁ = 7
Nos using y-coordinates,
yₙ = y₁ + y₂/2
2 = y₁ + 4/2
4 = y₁ + 4
y₁ = 0
Therefore, the coordinates of point K(7, 0).
The coordinates of J(7, 4); K(7, 0); and M(7, 2).
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Answer:
probability that he or she will answer at least 4 problems correctly = 0.5
Step-by-step explanation:
probability that he or she will answer at least 4 problems correctly is given as;
P (at least 4 correctly) = P (exactly 4 correctly) + P (all 5 correctly)
Since there are 10 problems. 4 is from the 7 problems chosen and 1 is from the 3 problems we can't figure out. Thus, P(exactly 4 correctly) = 7C4 x 3C1
Thus, P (at least 4 correctly) = [ (7C4) x (3C1) ] / (10C5)] + [(7C5)/(10C5)]
= [(35 x3)/252 ] + [21/252]
= [ 105/252 ] + [ 21/252 ]
= 126 / 252
= 0.5
Ffffffffffffffffffffffffffffffffffffffff
Mabye try making the triangle a right triangle and use SohCahToa (sin, cos, tan) to figure out each angle?
Answer:
Step-by-step explanation:
Sum of interior angle of any polygon = 180* (n- 2 )
Here, n= number of sides
Sum of interior angles of regular octagon = 180 * ( 8-2) = 180 * 6 = 1080°
In regular octagon, all the angles are congruent,
So, measure of an interior angle of regular octagon = 1080/8 = 135°
Sum of interior angles of regular hexagon = 180 * ( 6-2) = 180*4 = 720°
In regular hexagon, all the angles are congruent,
So, measure of an interior angle of regular hexagon = 720/6 = 120°
The measure of an interior angle of a regular octagon is greater than the measure of an interior angle of a regular hexagon by 15°
