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Answer:</h2>
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Step-by-step explanation:</h2>
From the given graph, we can know two points:
Using the slope intercept form of the equation of a line, we get:
Where the slope is and the y-intercept is
From mathematics, we know that a system of two linear equations has no solution if and only if the two equations have the same slope, but not the same y-intercept. So, from the options, the second equation is:
And the slope intercept form of this equation is:
So the slope is and the y-intercept is , the systems formed by these two equations has no solution.
Partitioning means to find the dividing point between two points.
This is done by prorating the difference in x- and y-coordinates, and adding to the first.
We will take the first point (from A to B) as A(16,8).
The difference is B-A, i.e.
(1,3)-(16,8) = (-15,-5)
2/5 of the difference is (2/5)*(-15,-5) = (-6,-2)
Add the difference to the first coordinates (point A) gives
Point of division = (16,8)+(-6,-2) = (16-6, 8-2) = (10,6)
Answer:
60
Step-by-step explanation:
We are given the triangles are congruent, that means the angles are the same measurement
<A = <X
<B = <Y
<C = <Z
We know A = 50 so X = 50
We know <Y = 70 so < B = 70
The three angles of a triangle add to 180
<A + <B + <C = 180
Substituting into the equation
50 + 70 + <C = 180
Combining like terms
120 + <C =180
Subtracting 120 from each side
120-120 +<C =180-120
<C = 60
Answer:
l=15 m
Step-by-step explanation:
Given that a blueprint of a plot of land has a scale of cm to m.
i.e. if it measures 1 cm in blue print actual dimension is 1 m.
The length of land measures 15 cm on the blueprint.
For 1 cm actual length = 1 m
So for 15 cm actual length = 15 m
So we get
if l represents the length of the actual piece of land,
l=15 m
Answer:
The simplified form of the compound fractional expression is .
Step-by-step explanation:
Simplify the fraction as shown:
Take the LCM.
Simplify,
Hence, the simplified form of the compound fractional expression is .