Answer:
x = 18, y = 45
Step-by-step explanation:
4x - 7 + a = 180 (linear pair)
But, a = 6x + 7 (alternate interior angles)
=> 4x - 7 + 6x + 7 = 180
=> 10x = 180
=> x = 18
Now, 3y - 20 = 6x + 7 (vertically opposite angles)
=> 3y - 20 = 6(18) + 7
=> 3y = 108 + 7 + 20
=> 3y = 135
=> y = 45
Hope it helps :)
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Answer:
1st question: M=22.62 while C=75.38
2nd question: M=.22 while C=1.97
Step-by-step explanation:
If a mirror costing x dollars is marked up 30%, then we have to find x such that 30%x+x is 98 dollars.
We are solving:
.3x+x=98
Combine like terms:
1.3x=98
Divide both sides by 1.3:
x=75.38
M=98-75.38=22.62
C=75.38
So M=22.62 while C=75.38.
If ream of paper cost x and is marked up 11%, then we have to find x such that 11%x+x is 2.19.
We are solving:
.11x+x=2.19
1.11x=2.19
x=1 97
M=2.19-1.97=.22
So M=.22 while C=1.97
Since AB=AD, the triangle on the left is isosceles and has two 35 degree angles. Since the sum of all the interior angles is 180 deg,
x = 180 deg - 2(35 deg) = 110 deg (answer)
The coordinates of B are (14, -10).
<h3>How to find mid point?</h3>
The midpoint is already know . we can use it to find the coordinates of B.
Therefore,
(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)
Hence,
M(5, - 4) and A(-4, 2)
The coordinates of B are as follows:
(5, - 4) = (-4 + x₂ / 2 , 2 + y₂ / 2)
5 = -4 + x₂ / 2
10 = -4 + x₂
x₂ = 14
hence,
-4 = 2 + y₂ / 2
-8 = 2 + y₂
y₂ = - 10
Therefore, the coordinates of B are (14, -10)
Learn more about midpoint here: brainly.com/question/25377004
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