The ratio of the length of the triangle leg in the y-direction to the length of the leg in the x-direction is 2/8 = 1/4 for both triangles. The appropriate choice is
D. It is 1/4 throughout the line.
The total number of cards (52) minus the number of players (p) times the number of cards each has (3) will give the number of cards left in the deck.
Answer: C) 52 - 3p
Hope this helps! :)
The function
is an exponential with base greater than 1. So, its range is
, with 0 being the horizontal asymptote as
.
If you multiply the function by
, the range remains the same.
If you reflect it over the x-axis, you're changing the sign of the function. So, the new range is

Y = 1/2x - 3. Slope here is 1/2. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So the perpendicular line will have a slope of -2.
y = mx + b
slope(m) = -2
(1,-1)...x = 1 and y = -1
now we sub and find b, the y int
-1 = -2(1) + b
-1 = -2 + b
-1 + 2 = b
1 = b
so ur perpendicular equation is : y = -2x + 1
We have been given an image of a circle. We are asked to find the value of each variable.
We can see that angle b corresponds to diameter of circle. We know that the measure of an angle that is inscribed to the diameter of a circle is 90 degrees . Therefore, the value of b will be 90.
we can see that angle is an inscribed angle of arc 99 degrees. We know that measure of an inscribed angle is half the measure of inscribed arc.


Therefore, the value of a is 49.5 units.
We know that measure of all angles of a triangle is 180 degrees. The measure of 3rd angle will be half the measure of c, so we can set an equation as:







Therefore, the value of c is 81.