Answer:
ST = 4
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.
ST = 
PQ substitute values
- 32 + 9x = (- 5x + 28) ← multiply both sides by 2 to clear the fraction
- 64 + 18x = - 5x + 28 (add 5x to both sides )
- 64 + 23x = 28 ( add 64 to both sides )
23x = 92 ( divide both sides by 23 )
x = 4
Then
ST = - 32 + 9x = - 32 + 9(4) = - 32 + 36 = 4
Answer:
(-3, -5), because the point satisfies both equations.
<h2>
Answer:</h2>
The values of sinθ and tanθ are:
and
<h2>
Step-by-step explanation:</h2>
It is given that:
where
i.e. the angle θ lie in the second quadrant.
Also, we know that in the second quadrant sine and cosecant function is positive.
whereas cosine,secant, tangent and cotangent functions are negative.
Now, we know that:
i.e. here
Hence, we have:
Also,
Now, on rationalizing we have:
