In the diagram below, m = 60 and m = 74. What is the measure of PTS?
2 answers:
Answer:
B.
Step-by-step explanation:
We have been given image of an circle. We are asked to find the measure of angle PTS.
Upon looking at our given circle, we can see that angle PTS is formed inside circle by intersection of secant PQ and RS, so the measure of angle PTS will be half the sum of arc PS and QR (Intersecting Secants Theorem).
Therefore, the measure of angle PTS is 67 degrees and option B is the correct choice.
You might be interested in
Answer:
8 cm
Step-by-step explanation:
Squares have equal side lengths so if we call each side x, then x × x gives us the area (32 cm²). This means that x² = 32 and therefore, one side is √32 cm.
Next, to work out the diagonal we can use Pythagoras' theory, since we can form a right-angled triangle. a² + b² = c² (c is the diagonal or the hypotenuse)
(√32)² + (√32)² = c²
(note: the square and the square root cancel out)
32 + 32 = 64
c² = 64 ∴ c = √64 which is 8
Hope this helps!
Answer:
d)
Go to station 10
Step-by-step explanation:
Expand:
Subtract 41 from both sides:
Divide both sides by -1:
5x = y + 6 (I)
2x - 3y = 4 (II)
-------------------
We have:
5x = y + 6 →
Soon:
2x - 3y = 4 →
<span>least common multiple (5)
</span>
2x - 3y = 4 (II)
-------------------
We have:
5x = y + 6 →
Soon:
2x - 3y = 4 →
<span>least common multiple (5)
</span>