Answer:
Step-by-step explanation:
We are given that a rectangle in which the equation of one side is given by
We have to find the equation of another side of the rectangle.
We know that the adjacent sides of rectangle are perpendicular to each other.
Differentiate the given equation w.r.t.x
()
Slope of the given side=
When two lines are perpendicular then
Slope of one line=
Slope of another side=
Substitute x=0 in given equation
The equation of given side is passing through the point (.
The equation of line passing through the point with slope m is given by
Substitute the values then we get
Hence, the equation of another side of rectangle is given by
The sum of this problem is 10,030
Given:
m∠APB = 19°
To find:
The arc measure of DBC.
Solution:
∠APB and ∠DPC are vertical angles.
By vertical angle theorem:
m∠APB = m∠DPC
m∠DPC = 19°
DB is the diameter of the circle.
Angle measure of diameter = 180°
m∠DPB = 180°
m∠DPC + m∠CPB = m∠DPB
19° + m∠CPB = 180°
Subtract 19° from both sides.
19° + m∠CPB - 19° = 180° - 19°
m∠CPB = 161°
<em>The measure of central angle is equal to the measure of intercepted arc.</em>
m∠CPB = m(ar CPB)
m(ar CPB) = 161°
The arc measure of DBC is 161°.
Answer:
2.5
Step-by-step explanation:
is your answer