I think that the answer is D
Answer:
see explanation
Step-by-step explanation:
The perimeter is the sum of the 3 sides of the triangle , that is
3x + 2x + 6 + 6x - 3 ( simplify by collecting like terms )
= 11x + 3
Given the perimeter = 36 units , then
11x + 3 = 36 ( subtract 3 from both sides )
11x = 33 ( divide both sides by 11 )
x = 3
Then
base = 2x + 6 = 2(3) + 6 = 6 + 6 = 12 units
height = 3x = 3(3) = 9 units
hypotenuse = 6x - 3 = 6(3) - 3 = 18 - 3 = 15 units
Answer: Top right graph.
Step-by-step explanation:
The function ⌊x⌋ rounds the value x to the lower whole number.
for example:
⌊1.5⌋ = 1
⌊1.923⌋ = 1
⌊2.0⌋ = 2
then, the graph of ⌊x⌋ will be a black dot in the each whole number, and a horizontal segment to the right that ends with a white dot in the next whole number. Right above the white dot, we have another black dot, and it repeats.
if we have ⌊x⌋ + 2, we move te previous graph 2 units upwards, then the correct option is the top right graph.
You can check some points if you like:
f(0) = ⌊0⌋ + 2 = 2
f(0.5) = ⌊0.5⌋ + 2 = 2
f(1) = ⌊1⌋ + 2 = 3
So in x = 0 we have a black dot in y = 2, and in x = 1 we have a white dot in y = 2 and a black dot in y = 3.
109!!
180-64-45= 71. Angle x amd the interior angle create a 180 degree line. And 180-71= 109; the sum of the 2 angles in the triangle are equivalent to the exterior angle
Answer:
75 students out of 120
Step-by-step explanation:
75/120
