Refer to the image attached.
Given: 
and 
are congruent.
To Prove: 
ABC is an isosceles triangle.
Construction: Construct a perpendicular bisector from point B to Line segment AC.
Consider triangle ABD and BDC,
(given)
(By the definition of a perpendicular bisector)
(By the definition of a perpendicular bisector)
Therefore, 
by Angle Side Angle(ASA) Postulate.
Line segment AB is congruent to Line segment BC because corresponding parts of congruent triangles are congruent.(CPCTC)
1.5 hours=60+30=90 minutes
30 pages : 90 minutes = 0.3 pages/minute
Answer: option B is the correct answer.
Step-by-step explanation:
Susan drove at an average speed of 30 miles per hour for the first 30 miles of a trip.
Time = distance/speed
This means that time spent by Susan in travelling the first 30 miles would be
Time = 30/30 = 1 hour
He travelled at an average speed of 60 miles per hour for the remaining 30 miles of the trip.
Time = 30/60 = 0.5 hours
Total distance travelled is 30 + 30 = 60 miles.
Total time spent = 1 + 0.5 = 1.5 hours
Speed = distance/time
Average speed = 60/1.5 = 40 miles per hour.
Answer:
Step-by-step explanation:
Statement Reason
1.∠4 is an exterior angle of ΔABC Given
2.∠3 and∠4 form a linear pair Linear pair theorem
3.∠3 is supplementary to ∠4 Property of supplementary angle
4.m∠3+m∠4=180° Definition of supplementary angle
5.m∠1+m∠2+m∠3=180° Triangle sum theorem
6.m∠1+m∠2+m∠3=m∠3+m∠4 From step 4 and 5
7.m∠1+m∠2=m∠4 Subtraction rule
Maria<span> may have been </span>formed<span> by ancient volcanic eruptions that filled in low lying areas of the moon with darker basalt. </span>Craters<span> are impact zones where large to small meteors have impacted the moon's surface but did not puncture the lunar mantel.</span>
