Perpendicular Transversal Theorem <span>can be used to prove that d is perpendicular to t.
The theorem states that : </span><span>In a plane, if a line is perpendicular to one of the 2 parallel lines then it is perpendicular to the other.</span>
Answer:
N (-4,3)
Once A is reflected over the horizontal line, it is (-4,3)
Answer:
Option B
Step-by-step explanation:
<u>Step 1: Determine the range and domain</u>
Range is asking for what y values are being used. We can see that the vertex of the parabola is at y = 4 so we know that anything equal or above 4 would be included in the range.
Domain is asking for what x values are being used. We can see that the parabola is pointing in both the negative and positive x direction which means that it will go to infinity on both sides. This gives us the answer that the domain is all real numbers.
Looking at the given options, options C and D are automatically removed because the range is incorrect. Next looking at the domain we see that option A is incorrect which leaves us with option B.
Answer: Option B
Answer:
270 cm^2
Step-by-step explanation:
This is quite easy.
There is formula for it, the formula is bh/2
b= is the base or side that the triangle's altitude or height is perpendicular to.
h= is the height of the triangle or the altitude of the triangle.
I can always like to thing that a triangle is like half of a rectangle because the area for a rectangle is bh, but in a triangle it is half the bh.
b= 30
h=18
Now substitute the values in the formula
30(18)/2
30 times 18 = 540
divide the product by 2
540/2 = 270
Answer:
P = 1/2
Step-by-step explanation:
If the tourist spends more than 275$, they must not arrive in Chicago by bus.
( 150 + 60 < 275, 150 + 40 < 275)
The total options the tourist can make:
3 x 2 = 6
(1st leg: 3 possible options, 2nd leg: 2 possible options)
The number of options the tourist can make after excluding bus option:
2 x 2 = 4
(1st leg: 2 remaining possible options, 2nd leg: 2 possible options)
The number of options the tourist can make after excluding the bus option and spend more than 275$:
4 - 1 = 3
(excluding the case of selecting train and cab, because 225 + 40 < 275)
=> The probability that the tourist will spend more than 275$ on these 2 legs of the trip:
P = 3/6 = 1/2
