Answer:
y = (5/4)x + 6
Step-by-step explanation:
The 1st line's equation is:
● 4x + 5y = 20
Substract 4x from both sides
● 4x + 5y - 4x = 20 - 4x
● 5y = 20 -4x
● 5y = -4x + 20
Divide both sides by 5
● 5y/5 = (-4x + 20)/5
● y = (-4/5)x + 4
● y = -0.8x + 4
Let m be the slope of the second line
The lines are perpendicular so the product of their slopes equals -1
Then: m × (-0.8) = -1
● m × (-0.8)= -1
● m = -1/(-0.8)
● m = 1.25
y = 1.25x + b
b is the y-intercept of the line.
To get it replace by the coordinates of a point.
We are given that the line passes through (-4,1)
● y = 1.25x + b
● 1 = 1.25 × (-4) + b
1.25 is 5/5
● 1 = (5/4) × (-4) + b
● 1 = -5 + b
Add 5 to both sides
● 1 + 5 = -5 + b + 5
● b = 6
So the equation is
● y = (5/4)x + 6
Answer:
∠a and ∠b are the adjacent angles.
Therefore, option D i.e. adjacent is the correct option.
Step-by-step explanation:
Given the angles
We know that the two angles are termed as the adjacent angles when they share the:
From the given diagram, we are given the angles ∠a and ∠b.
It is clear that angles ∠a and ∠b have a common vertex and common side.
Therefore, the relationship between the angles ∠a and ∠b is 'adjacent'.
In other words, ∠a and ∠b are the adjacent angles.
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<u><em>Please note that the given relation can not be a 'linear pair' because the sum of two angles is NOT a straight line or 180°.</em></u>
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Therefore, option D i.e. adjacent is the correct option.
Answer:
y=6x+2
Step-by-step explanation:
When using this equation, it hit the points (0,2) and (1,8)
Answer:
137/11 or approx. 12.45
Step-by-step explanation:
Answer:
C) △JKL is not congruent to △J′K′L′ because there is no sequence of rigid motions that maps △JKL to △J′K′L′.
Step-by-step explanation:
If L' were (-3,-4), it would be a reflection of L across the x-axis as J' and K' are with respect to J and K. Unfortunately, because it is not, the side lengths J'L' and K'L' of triangle J'K'L' are different from those of triangle JKL. This ensures the triangles JKL and J'K'L' are <em>not congruent</em>.
