Answer:
Step-by-step explanation:
Let
A(-5,5),B(-2,-4) ----> the given segment
step 1
Find the slope AB
The formula to calculate the slope between two points is equal to
substitute the given values
step 2
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)
so
the slope of the perpendicular bisector is equal to
we have
substitute
step 3
Find the midpoint segment AB
A(-5,5),B(-2,-4)
The formula to calculate the midpoint between two points is equal to
substitute the values
step 4
Find the equation of the line in point slope form
we have
substitute
step 5
Convert to slope intercept form
isolate the variable y
simplify
see the attached figure to better understand the problem
(p-8-m)/(-1+p)=1 1/9;p=1 7/8
(p+1)/(p+8+m)=1 1/9;p=1 7/8
1/(8+m)=10/9;p=15/8
that's as far as it can be solved
Answer:
h = (10 ft)(4.01) = 40.1 ft
Step-by-step explanation:
The tangent function relates this elevation to the horizontal distance (10 ft) and the angle of elevation (76 degrees):
opp h
tan 76 degrees = --------- = ------------- = 4.01
adj 10 ft
Therefore , h = (10 ft)(4.01) = 40.1 ft
Answer:
x = -4
m<LMP = 77°
m<NMP = 103°
Step-by-step explanation:
Straight angles by definition have a total measure of 180°.
This means that m<LMP and m<NMP are 180° together.
Therefore m<LMP + m<NMP = 180°.
[substitution property]
(-16x + 13)° + (-20x + 23)° = 180°
[associative property of addition]
(-36x + 36)° = 180°
-36x + 36 = 180
–36 –36
-36x = 144
÷-36 ÷-36
x = -4
_________________
Since m<LMP = (-16x + 13)°.
Using substitution with x = -4:
m<LMP = (-16(-4) + 13)° = (64 + 13)° = 77°.
Since m<NMP = (-20x + 23)°.
Using substitution with x = -4:
m<NMP = (-20(-4) + 23)° = (80 + 23)° = 103°.
This is true because 77° + 103° = 180°.
Answer:
B
Step-by-step explanation:
B: 1 = 3×1 -2 = 1
4 = 3×2 -2
