By proportionality, for any number

, if T is multiplied by

then the same goes for M.
a) M has been multiplied by

hence


b) T has been divided by

hence

Answer:
<em>Gradient of KL = 2</em>
Step-by-step explanation:
From the diagram, we are to calculate the gradient of KL. Gradient is salso known as the slope of the line.
Gradient of KL = ΔOK/ΔOL
Given
OK = 2OL
Substitute into the formula
From the diagram, ΔOL = -5
ΔOK = 2ΔOL
ΔOK = 2(-5)
ΔOK = -10
Hence;
Gradient = -10/-5
<em>Gradient of KL = 2</em>
<em></em>
<h3>
Answer: Choice B</h3><h3>
sqrt(3)/2, 1/2, sqrt(3)</h3>
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Explanation:
Sine of an angle is the ratio of the opposite side over the hypotenuse. For reference angle A, the opposite side is BC = 6sqrt(3). The hypotenuse is the longest side AB = 12
Sin(angle) = opposite/hypotenuse
sin(A) = BC/AB
sin(A) = 6sqrt(3)/12
sin(A) = sqrt(3)/2
---------------
Cosine is the ratio of the adjacent and hypotenuse
cos(angle) = adjacent/hypotenuse
cos(A) = AC/AB
cos(A) = 6/12
cos(A) = 1/2
---------------
Tangent is the ratio of the opposite and adjacent
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 6sqrt(3)/6
tan(A) = sqrt(3)
Considering the angle a by cosine rule
11^2 =7 ^2 +15^2 - 2(7)(15)cos(a)
When you do the maths,
Cos(a) =153/210 =0.729
a= cos inverse of 0.729
a=43 degrees
Considering angle b
7^2=15^2 +11^2 -2(11)(15) cos(b)
This will result in cos(b) =297/330=0.9
b= cos inverse of 0.9 = 25.8 degrees
Considering angle c
15^2=7^2 +11^2 - 2(11)(7) cos(c)
Cos(c) will be = -55/154 = -0.357
c= cos inverse of -0.357=110.9
Comparing the angles a,b and c,
C is the largest size in the triangle with an angle of 110.9 degrees
Am I right please ??
The coordinates of centroid are: (10/3, 3)
Step-by-step explanation:
The formula for calculating centroid of a triangle is:

Here (x1,y1) are the coordinates of first vertex
(x2,y2) are the coordinates of second vertex
(x3,y3) are the coordinates of third vertex
Given:
G(-2,5) = (x1,y1)
H(6,5) =(x2,y2)
J(6,-1) = (x3,y3)
Let I be the centroid of the triangle
Putting the values in the formula

The coordinates of centroid are: (10/3, 3)
Keywords: Centroid, Triangle
Learn more about centroid at:
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