Unusual notation. I won't fuss with it.
a. We have isosceles PRT, so angle RPT = angle RTP.
By the definition of angle bisector, angle MTP = angle MTF, and angle MPT = angle MPU.
We have m angle RTP = m angle MTF + m angle MTP = 2 m angle MTP
Similarly, m angle RPT = 2 m angle MPT
2 m angle MTP = 2 m angle MPT
angle MPT = angle MPT
That's the first part.
b. That makes MPT isosceles.
c. 2x+124=180
2x = 56
x = 28 degrees
MTP = 28 degrees
d. We have angle RPT=angle RTP=56 so PRT=180-2(56)=68 degrees
PUT = 180 - UTP - UPT = 180 - 28 - 56 = 96 degrees
Bad drawing, PUT looks acute.
angle PRT = 68 degrees, angle PUT = 96 degrees
Answer:
Create drills athletes want to win. While everyone wants to win, make sure everyone is having fun too.
Set measurable goals, benefit out responsibility and roles, give ownership, and stop and listen to each other when something is wrong.
Step-by-step explanation:
hope this helps...
have a good day
Answer:
Advance tickets-$15
Same-day tickets-$20
Step-by-step explanation:
let x be the cost of advance tickets and y cost of same-day tickets:
Given that there were 40 advance and 25 same-day tickets for a total of $1100:
#Make x the subject in i and substitute in ii:
Hence, advance tickets cost $15 each while same-day tickets cost $20 each.
Answer:Volume = 108 cm ³
Explanation:For a square pyramid, the volume can be calculated as follows:
Volume =
* area of base * height
Volume =
* side² * height
We have:
side length = 6 cm
height = 9 cm
Therefore:
Volume =
* 36 * 9 = 108 cm ³
Hope this helps :)
Answer:
C
Step-by-step explanation:
the answer for this question is
-2 and 6