Lines l and m are parallel because same-side interior angles are supplementary
From the question, we are to determine the lines we can conclude are parallel
From the given information, we have that
m ∠3 + m ∠4 = 180°
That is,
The measure of angle 3 and the measure of angle 4 are supplementary.
In the diagram,
We can observe that ∠3 and ∠4 are same-side interior angles
NOTE: If interior angles on the same side of the transversal sum to 180, then lines are parallel.
Hence,
Due to the fact that same-side interior angles are supplementary, lines l and m are parallel
Learn more on Parallel lines postulates here: brainly.com/question/9602013
#SPJ1
The volume of a sphere is
V_s = 4/3 * pi * r_s^3
The volume of a cone is
V_c = 1/3 * pi * h * r_c^2
Since we know that the two volumes are equal, we can say
V_s = V_c
4/3 * pi * r_s^3 = 1/3 * pi * h * r_c^2
Let us now isolate r_c, the radius of the cone:
4/3*r_s^3 = 1/3 *h*r_c^2
sqrt((4*r_s^3)/h) =r_c = 12 cm
So the radius of the cone is 12 cm
Answer:
Step-by-step explanation:
First, rewrite the equation (all terms should be in the left side):
In this equation,
Then the discriminant
Then
Answer:
Step-by-step explanation:
hello :
2x+7y=1
...(*)
y=4x−8...(**)
(4;8) means x= 4 and y= 8
put this values in (*) and(**) :
2(4)+7(8) =1 62=1 false
8=4(4)-8 8=8 true
so :(4;8) is not solution for this system.
Answer:
Step-by-step explanation:
Given
See attachment
Required
Length ML
First, calculate x using the following equivalent ratios
Express as fraction
Cross Multiply
Substitute values:
Expand
Collect like terms
Using a calculator:
and 
Given that:
Substitute values for x
ML cannot be negative; So:
