Answer:
S = 3.92π
Step-by-step explanation:
The formula for area of a sector is
S = (Ф/360°)πr² where Ф is the angle of the sector in degrees, and r is the radius.
The radius is half of the diameter, so we have 5 = 5.6/2 = 2.8, and Ф = 180°
The area is
S = (180°/360°)π(2.8)²
S = (1/2)π(7.84)
S = 3.92π
SAS theorem states that if <u>two sides</u> and the <u>included angle</u> of one <u>triangle</u> are <u>congruent</u> to <u>two sides</u> and the <u>included angle</u> of another <u>triangle</u>, then these two <u>triangles are congruent</u>.
1. RQ ≅ QP (given)
2. If RP bisects ST at Q, then TQ ≅ QS (by the definition of segment bisector).
3. ∠RQT, ∠PQS are vertical angles (angles that are vertically opposite to each other when lines PR and ST intersect, Q is the common vertex).
∠RQT ≅ ∠PQS (by the vertical angles theorem).
Vertical angles theorem states that vertical angles are always congruent.
According to SAS theorem, ΔRQT ≅ ΔPQS.
Answer: vertical angles theorem
Answer:
D
Step-by-step explanation:
Answer:
A straight angle is an angle of 180 degrees, so it looks like follows
Answer:
25
Step-by-step explanation:
10n−5(2n−5)
Distribute:
=10n+(−5)(2n)+(−5)(−5)
=10n+−10n+25
Combine Like Terms:
=10n+−10n+25
=(10n+−10n)+(25)
=25
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