1. RM = SN, TM = TN Addition Property of Equality
2. ∠T = ∠T Reflexive
3. RM + TM = SN + TN Substitution
4. RM + TM = RT, SN + TN = ST Betweeness
5. RT = ST CPCTE
6. Triangle RTN congruent to Triangle STM Given
7. RN = SM SAS
ANSWER:
C. Place the compass on point A. Open the compass to a point between point P and point B.
EXPLANATION:
A perpendicular is a line that would be at a right angle to line BA.
The next step is to chose a radius that is greater than PB or PA so as to construct the bisector. And this can be done by placing the compass on point A, and open the compass to a point between point P and point B.
Use this radius to draw an arc above and below the line, and repeat the same using B as the center with the same radius. This would form two intersecting arcs above and below line BA. Join the point of intersection of the arcs by a straight line through P. This is the bisector of line BA through point P.
Answer:
x = 
Step-by-step explanation:
Since it will be easier, just set "ce" as one term. Let ce = y
You are solving for the variable, x. Note the equal sign, what you do to one side, you do to the other.
Do the opposite of PEMDAS.
First, subtract 4 from both sides:
y = 7x + 4
y (-4) = 7x + 4 (-4)
y - 4 = 7x
Next, Divide 7 from both sides:
(y - 4)/7 = (7x)/7
(y - 4)/7 = x
x = (y/7) - (4/7)
Your value of x is 
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Answer:
A.) Acceleration = 4.6 m/s^2
B.) Average speed = 47 m/s
Step-by-step explanation:
A.) From the graph, at t = 10s,
Velocity V = 46 m/s
Acceleration a = (change in V)/ time t
a = (46 - 0)/10
a = 46/10 = 4.6 m/s^2
B.) If we estimate the speed at 5 seconds intervals, then we have
Average speed = (36 + 46 + 49 + 50 + 50 +50 + 50) ÷ 7
Average speed = 331/7 = 47.29 m/s
Average speed = 47 m/s
Answer: The ball hits the ground at 5 s
Step-by-step explanation:
The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:
(1)
Where
models the height of the ball in meters and
the time.
Now, let's find the time
when the ball Sara kicked hits the ground (this is when
):
(2)
Rearranging the equation:
(3)
Dividing both sides of the equation by
:
(4)
This quadratic equation can be written in the form
, and can be solved with the following formula:
(5)
Where:
Substituting the known values:
(6)
Solving we have the following result:
This means the ball hit the ground 5 seconds after it was kicked by Sara.