Answer:
(2, 1)
Step-by-step explanation:
A line that passes through the origin and has a slope of 1/2 can be best represented as y = 1/2x
it starts at the origin
goes 2 units to the right
1 unit above
2 units to the right + 1 unit above = (2, 1)
Final Answer: (2, 1)
Answer:
8sm, 16sm, 10sm
Step-by-step explanation:
the first side of the triangle: x
the other side of the triangle: 2x
the third side of the triangle: x+2
the perimeter of the triangle: x+2x+x+2=34
4x=32
x=8
2*8=16
8+2=10
Answer:
The answer to your question is below
Step-by-step explanation:
csc α - cot α = 
Work with the left part
Simplify
Multiply by the reciprocal
Simplify
Remember that
sin²α = 1 -cos²α
Substitute the previous equation
Simplify
The identity i proved.
Answer: The length of BC is 7
Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then
AB=DC and
AD=BC
Inputting the values of AB, DC and AD as given in the question:
x + 8 = 3x ...(1)
x + 3=? ...(2)
We have to solve for the value of x to get the actual lengths and thus ascertain BD.
From equation (1):
8 = 3x - x
8 = 2x
8/2 = x
Therefore, x = 4.
If x = 4 then equation(2) would be
4 + 3= 7.
Hence, the actual lengths of the quadrilateral are:
AB = 4 + 8. DC = 3(4)
=12. =12.
AD = 4 + 3. AD = BC
= 7. Therefore, BC = 7.
Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.
It's the third one. It is the correct option.
