Answer:
50 degrees
Step-by-step explanation:
We know that an inscribed angle in a circle is 1/2 the arc that it inscribes. So, therefore the arc is inscribed by the 25 degrees is 50. Assuming that the center of the circle is O, the center angle will be the arc measure. Knowing this, angle a is 50 degrees. If you're curious about all these theorems, they can be proved using similar triangles.
fyi, using the same logic, angle b is 25 degrees
Answer: b) two sides and the included angle are congruent
<u>Step-by-step explanation:</u>
RS = QS SIDES are congruent
∠PSR ≡ ∠PSQ ANGLES are congruent
PS = PS SIDES are congruent
ΔPSR ≡ ΔPSQ by the Side-Angle-Side (SAS) Congruency Theorem
Since we know the triangles are congruent, we can state that their parts are congruent:
Congruent-Parts of-Congruent-Triangles are-Congruent (CPCTC)
Solve for y. the slope will be m, y intercept will be b
These are not similar. For them to be similar, they need to exist in proportion to each other for every single side. The ratio of the 12:9 sides is 4:3 when reduced. The ratio of the other 2 sides is 5:3. They all have to have the same ratio for them to be similar.
9 ≤ 17 - 4x
9 - 17 ≤ 17 - 17 - 4x
-8/-4 ≤ - 4x/-4
x≤ 2
hope this helps
