State whether the given measurements determine zero, one, or two triangles.
1 answer:
Answer:
One
Step-by-step explanation:
Find the value of B
Applying the law of sines
=
substitute the given values
=
sin (B) = Sin(61)
step 2
Find the measure of angle C
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
61 + 65.87 + C = 180
C = 53.13
step 3
Find the value of c
Applying the law of sines
=
substitute the given values
=
c = SIN (53.13)
C=21.04 units
so
there can only be one value for each measurement, therefore there can only be one triangle
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Point B is a solution to the system of inequalities
<h3>Further explanation </h3>Straight-line equations are mathematical equations that are described in the plane of cartesian coordinates
General formula
or
y = mx + c
Where
m = straight-line gradient which is the slope of the line
x1, y1 = the Cartesian coordinate that is crossed by the line
c = constant
The formula for a gradient (m) between 2 points
If the intersection of the x-axis (b, 0) and the y-axis (0, a) then the equation of the line:
ax + by = c
It says inequality if there are symbol forms like <, >, ≤ or ≥
Whereas linear inequality can have forms:
ax + by> c, ax + by ≥ c , ax + by <c , ax + by ≤ c
In graphical form, line inequality can be
• dashed line because y does not include equals to
• a solid line because y includes equal to
For line inequality (positive coefficient y)
ax + by ≥ c then the solution is shaded upwards
ax + by ≤ c then the solution is shaded down
(Picture attached)
The line :
intersect x-axis at point : 5,0
Intersect y-axis at point : 0,10
And the solution is shaded upwards
intersect x-axis at point : 4,0
Intersect y-axis at point : 0,-2
And the solution is shaded upwards
And the point located in the shaded plane of the two inequality is point B and I
<h3>Learn more</h3>
Linear inequality represented by the graph
Keywords: linear inequality,graph
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