Answer:
The measure of angle ∠ ABC is 96°.
Step-by-step explanation:
Inscribed angle theorem:
The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
Here,
central angle is 192°
∴ 
On substituting the given values we get
∴ 
Therefore, the measure of angle ∠ ABC is 96°
Answer:
For example, 0.4 is less than 0.7. Let us now compare 1.57 and 1.6.
Step-by-step explanation:
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Answer:
C. ∆ABD ≅ ∆CBD by the SSS Postulate
Step-by-step explanation:
We can prove that ∆ABD and ∆CBD congruent by the SSS Postulate.
The SSS postulate states that of three sides in one triangle are congruent to three corresponding sides in another, therefore, the two triangles are congruent.
From the diagram shown,
AB ≅ CB,
AD ≅ CD
BD = BD
We have three sides in ∆ABD that are congruent to three corresponding sides in ∆CBD.
Therefore, ∆ABD ≅ ∆CBD by the SSS Postulate
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Step-by-step explanation:
Because the length of ST is calculated using pythagorean theorem:

Where the square of the hypotenuse is equal to the sum of squares of the other two sides of a right triangle. In this case, the hypotenuse is ST and the other two sides are distances between S and T over the X and Y axis. Those are easily calculated:

Where x is the distance between S and T over X axis and Y distance over Y axis, sx and tx are X coordinates of S and T, sy and ty are Y coordinates of S and T.
Using that formula, you get that y = 17 and x = 8.
Back to the pythagorean theorem, if we put those number in the formula of the pythagorean theorem, we get something like this:

And finally, the correct answer is in fact 353.