Answer:
a = 60°
Step-by-step explanation:
From the picture attached,
In the given triangle,
NE and ML are the perpendicular bisectors of two sides of the triangle.
Therefore, m∠MEK = m∠MLK = 90°
Since, sum of interior angles of polygon KLME = 360°
m∠MEK + m∠MLK + m∠EML + m∠EKL = 360°
90° + 90° + 120° + a = 360°
a = 360° - 300°
a = 60°
Answer:
(0,-5) and (-4,3)
Step-by-step explanation:
The given equations are

Make y the subject in the second equation;

Substitute into the first equation;

Expand:





When x=0,

This gives; (0,-5)
When x=-4

This gives (-4,3)
Answer:
$700
Step-by-step explanation:
Step one:
Given data
Regular cost of cell phone= $780
discount = 15%
tax = 5.5%
Step two
Let us compute the discounted amount
= 15/100*780
=0.15*780
=$117
hence the selling price is
=780-117
=$663
Also, the tax-deductible is
=5.5/100*663
=0.055*663
=$36.465
The total cost of the phone will be
=663+36.465
=699.465
=$700 to the nearest cent
To get x by itself, you would add 13 to both sides. x=115
Answer:
The slope is 3.
Step-by-step explanation:
A direct variation function will always go through the origin point (0, 0).
Therefore, we have the two points (0, 0) and (-2, -6).
We can use the slope formula to find the slope:

Substitute and evaluate:

Therefore, the slope of the function is 3.
To graph, simply plot (0, 0) and (-2, -6) and draw a line connecting them. This is shown below.