Answer:
To pay attention.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Part 1.
The sine of an angle is defined as; Opposite side/the Hypotenuse. From the right angle triangle given; sin x =5/13.
The cosine of an angle is defined as; Adjacent side/Hypotenuse. From the right angle triangle given; cos x =12/13.
The tangent of an angle is defined as; Opposite side/Adjacent side. From the right angle triangle given; tan x =5/12.
Part 2.
We use the same definitions of the trigonometric ratios above;
sin y =12/13
cos y =5/13
tan y =12/5
Part 3.
The sin∠X and the cos∠Y are equal, their value is 5/13. The sine of angle is always equal to the cosine of its complement. In this case, ∠X+∠Y =90 hence ∠X is a complement of ∠Y.
Part 4.
The tangents of ∠X and ∠Y are inverses of each other. The tangent of an angle will always be equal to the inverse or reciprocal of the tangent of its complement.
First, since it's given the angle PRS=98 degrees we can find x.
(3x-8)+(2x+6)=98 we can solve for x
after solving this we find that
x=20
Now we can solve for angle QRS
2x+6 plug in our values and we get
40+6, which equals 46 degrees
Answer:
- there are no solutions (lines do not intersect)
- there is one solution (lines intersect at one point)
- there are an infinite number of solutions (lines overlap—are the same line)
Step-by-step explanation:
"A system of linear equations" covers a lot of territory. In Algebra 1, it usually means two linear equations in two unknowns. Each of those equations will graph as a line on a coordinate plane.
A solution is a point that satisfies all the equations. That is, it is a point that is on all the lines described by the system of equations.
The geometry of lines on a plane comes into play with regard to solutions.
- The lines may be parallel, hence never intersect. (<em>No points</em> will be on all the lines.)
- The lines may intersect at <em>one point</em>.
- The lines may be the same line, overlapping, identical, coincident, consisting of <em>all the same points, an infinite number</em>.
Answer:
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