10. A small plane was scheduled to fly from Atlanta to Washington, D. C. The plane flies at a constant speed of 230 miles per hour. However, the flight was against a head wind of 10 miles per hour. The threat of mechanical failure forced the plane to
turn back, and it returned to Atlanta with a tail wind of 10 miles per hour, landing 2.3 hours after it had taken off.
Complete parts a through b.
a. How far had the plane traveled before turning back?
The plane had traveled
(1)
before turning back.
(Type an integer or decimal rounded to two decimal places as needed.)
b. What was the plane's average speed?
The plane's average speed was
(2) -
(Type an integer or decimal rounded to two decimal places as needed.)
(1)
(2)
O miles
miles per hour
O hours
miles per hour
hours
miles.

In δabc shown below, ∠bac is congruent to ∠bca: triangle abc, where angles a and c are congruent given: base ∠bac and ∠acb are congruent. prove: δabc is an isosceles triangle. when completed (fill in the blanks), the following paragraph proves that line segment ab is congruent to line segment bc making δabc an isosceles triangle. (4 points) construct a perpendicular bisector from point b to line segment ac . label the point of intersection between this perpendicular bisector and line segment ac as point d: m∠bda and m∠bdc is 90° by the definition of a perpendicular bisector. ∠bda is congruent to ∠bdc by the definition of congruent angles. line segment ad is congruent to line segment dc by by the definition of a perpendicular bisector. δbad is congruent to δbcd by the line segment ab is congruent to line segment bc because consequently, δabc is isosceles by definition of an isosceles triangle. 1. corresponding parts of congruent triangles are congruent (cpctc) 2. the definition of a perpendicular bisector 1. the definition of a perpendicular bisector 2. the definition of congruent angles 1. the definition of congruent angles 2. the definition of a perpendicular bisector 1. angle-side-angle (asa) postulate 2. corresponding parts of congruent triangles are congruent (cpctc)

Prove that (x-2)is factor of p (x)=2x³-3x²-17x+30

Abdul is making a map of his neighborhood he knows the following information: his home, the middle school, and high school are all on the same street. his home, the elementry school, and his friends house are on the same street. the angle between the elementary school, middle school, and his home is congruent to the angle between his friends house, the high school, and his home. what theorem can abdul use to determine the two triangles are similar? a- side side side similarity theoremb- angle angle similarity theoremc- corresponding parts of similar triangles are congruentd- pieces of right triangles similarity theorem