Answer:
15) a) 8
b) y + 2
c) y - 1
16) True
17) 2n - 1, where n is an integer
18) a) 3p + 4q
b) 500 - 3p - 4q
Answer:
(-2, 3)
Step-by-step explanation:
A is translated from (5, 1) to A' at (6, -2).
That is, it moves <em>one unit to the right and three units down</em>.
B is also translated to B' one unit to the right and three units down to (-1, 0).
B must be <em>one unit to the left and three units above B'</em>.
Thus, the coordinates of B are (-2, 3).
The diagram below shows the translation of side AB of ∆ABC to its new location at A'B'.
For this, it is kind of like a triangle and having to find the diagonal. Let's see what the two legs of the triangle would be.
Leg one= 7 units
Leg two= 8 units
8²+7²= c²
64 + 49=113
√113≈10.6
The line is 10.6 units long.
First you turn 15% into a decimal by dividing by 100
.15 then multiply by 59.99 and get around 8.99
Then subtract 8.99 from 59.99 and get $51
So $59.99 with 15% off is about $51
Hope this helped! :))
The required value of Arc BC m = 140° Option B is correct.
Given that,
AD is the diameter of the circle,
∠1 = ∠3 = 20°
Arc BC is to be determined.
<h3>What is an arc?</h3>
Arc is the measure of angle on the circumference of circle.
Here,
∠1 = arc AB
∠3 = arc CD
Now, for circle p
Since angle 1 and angle 2 are equal to the composition of the arc,
Arc AD = Arc AB + Arc BC + Arc CD = 180
20 + Arc BC + 20 = 180
Arc BC = 180 - 40
Arc BC = 140°
Thus, the required value of Arc BC m = 140° Option B is correct.
Learn more about arc here:
brainly.com/question/18741430
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