The figure is right triangle with base =segment AB = 3 and height = segment AC = 2.
The angle B has tangent, tan (B) = 2 / 3
The angle C, has tangent, tan (C) = 3 / 2
Then, the answer is option C, tan C
Answer:
lines 1 and 3
Step-by-step explanation:
y = 2 is a horizontal line parallel to the x- axis
x = - 4 is a vertical line parallel to the y- axis
Then these 2 lines are perpendicular to each other
y = 15x - 3 ( in the form y = mx + c ) with m = 15
y + 1 = - 5(x + 2) ( in the form y - b = m(x - a) with m = - 5
For the lines to be perpendicular the product of their slopes = - 1
However
15 × - 5 = - 75 ≠ - 1
The 2 lines 1 and 3 are perpendicular
Answer: 4000 cm^3
Step-by-step explanation:
The volume of a rectangular prism is the length*width*height.
We can plug in the values given:
Volume = 20 cm * 20 cm * 10 cm
Volume = 4000 cm^3
Answer:
2/3 because the angles are complementary
Step-by-step explanation:
No matter what the measure of the angle is cos(x) will always equal sin(90-x).
Answer:
45 units
Step-by-step explanation:
See the given diagram with the question here.
The point D and point E are the midpoints of line segments AC and BC respectively.
Therefore, the length of the line joining points D and E will be half of length AB.
Now, given that AB = 11x - 25 and DE = 4x + 1.
Hence, ( 11x - 25 ) = 2 ( 4x + 1 )
⇒ 3x = 33
⇒ x = 11
Therefore, length DE = 4x + 1 = 4 ( 11 ) + 1 = 45 units. (Answer)
