Answer: The area of ABC is 56 m².
Explanation:
It is given that in △ABC, point P∈ AB is so that AP:BP=1:3 and point M is the midpoint of segment CP.
Since point P divides the line AB in 1:3, therefore the area of triangle APC and BPC is also in ratio 1:3. To prove this draw a perpendicular h on AB from C.

Since the area of BPC is
th part of total area, therefore area of APC is
th part of total area.
The point M is the midpoint of CP, therefore the area of BMP and BMC is equal by midpoint theorem.


Area of BPC is,



Area of APC is,



Area of ABC is,


Therefore, the area of ABC is 56 m².
Answer:
The slope of a line parallel to the given line = 5
The slope of a line perpendicular to the given line = - 1/5
Step-by-step explanation:
Answer:
<h2> Driver B has the fastest race time</h2>
Step-by-step explanation:
From the options presented, driver B has the fastest typical race time because he recorded the smallest time taken to complete an individual race.
Also from the standard deviation given (3.96) for driver B, it shows that the individual time spread from the standard deviation is minimal and that the driver maintained a fairly consistent time of race throughout the racing period.
1.) a>10
2.) a<3.5
How I got it: 1.) Subtract 3 from both sides, leaving -2a<10.
2.) Divide by -2 from both sides, remember to flip the inequality sign when dealing with negatives. This leaves you with a>10.
For number 2.) I divided both sides by 5, leaving a<3.5, though this answer may be wrong.
Answer:
the measure of the exterior angle is 87 degrees.