Answer:
151
Step-by-step explanation:
Solution :
We observe that :
But BA is the perpendicular.
From the center B and WX is a chord.
Therefore, TW = TX (perpendicular from the centre of a circle to a chord bisects it)
Consider Δ BTX,
∠BTX = 90° (BA ⊥ WX)
BT = XT (Δ BTX is isosceles)
Since the angles opposite to equal sides are equal of a triangle arc are equal.
∠BTX = ∠BXT
But in the triangle,
∠TBX + ∠TXB + ∠BTX = 180°
∠TBX + ∠TBX + 90° = 180°
2 ∠TBX = 90°
∠TBX = 45°
From trigonometry, we get
...............(1)
WX = 10
i.e., TX + TW = 10
But TX = TW
2 TX = 10
Tx = 5
BX = radius of circle.
∴
= 7
Therefore, the radius of the circle is 7 units.
12
25-9 is 16, so one side of the bigger triangle is 16. Since the biggest triangles hypotenuse is a multiple of 5, the triangle is a 3-4-5 triangle, so the other 2 sides of the biggest triangle must be 15 and 20. Since the bottom side of the big triangle is larger, that means it equals 20. The bigger half triangles sides are 20-16-x, so now use pythagorean theorem and x is 12
Answer:
B is the answer
Step-by-step explanation:
So common sense again
C and D are automatically out since they don’t equal
A and B are left
B’s slope is more accurate but it’s just not simplified, its still 2/3
so the slope is 2/3 and they are on the ame slope so we already know they equal so B is the correct answer.