Answer:
x = 47 degrees.
Step-by-step explanation:
Note that the angle x + the angle 133 are on the same straight line DPC. So they add up to 180 degrees.
Therefore x + 133 = 180
x = 180 - 133
= 47 degrees.
For the cosecant we will get:
So the correct option is the third one.
<h3>Which of the following choices is the value of cscθ given that cosθ= √2/2?</h3>
First, we can write:
Now, remember that:
And for the sine we have:
Then the cosecant for these possible values of x gives:
So the correct option is the third one.
If you want to learn more about trigonometric functions:
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Answer:
(b) 27°
(c) 34°
( ) 27°
Step-by-step explanation:
Angle relations involving lines, parallel lines, and triangles come into play here.
- angles of a linear pair total 180°
- angles of a triangle total 180°
- vertical angles are congruent
- corresponding angles at a transversal crossing parallel lines are congruent
<h3>(b)</h3>
The interior angles at W and Y will be the supplement of the exterior angles at those points. The sum of interior angles is 180°.
(180° -6x) +90° +(180° -4x) = 180°
270° = 10x . . . . . . . . . add 10x and simplify
27° = x
<h3>(c)</h3>
The vertical angles at S are congruent. This tells us ...
3x +∠PSQ = 4x
∠PSQ = x
The sum of angles in triangle PSQ is 180°, so we have ...
x +x +(180° -68°) = 180°
2x = 68° . . . . . . . . add 60°-180°
x = 34° . . . . . . . . . divide by 2
<h3>( )</h3>
Angles BAD and EDF are corresponding angles, hence congruent. The sum of angles in triangle BAD is 180°.
2x +2x +72° = 180°
4x = 108° . . . . . . subtract 72°
x = 27° . . . . . . . . divide by 4
I hope this helps you
length =width +1.25
Area =length ×width
320=w. (w+1.25)
w=18.625
l=19.875