Answer:
See below.
Step-by-step explanation:
ABC is an isosceles triangle with BA = BC.
That makes angles A and C congruent.
ABD is an isosceles triangle with AB = AD.
That makes angles ABD and ADB congruent.
Since m<ABD = 72 deg, then m<ADB = 72 deg.
Angles ADB and CDB are a linear pair which makes them supplementary.
m<ADB + m<BDC = 180 deg
72 deg + m<BDC = 180 deg
m<CDB = 108 deg
In triangle ABD, the sum of the measures of the angles is 180 deg.
m<A + m<ADB + m<ABD = 180 deg
m<A + 72 deg + 72 deg = 180 deg
m<A = 36 deg
m<C = 36 deg
In triangle BCD, the sum of the measures of the angles is 180 deg.
m<CBD + m<C + m<BDC = 180 deg
m<CBD + 36 deg + 108 deg = 180 deg
m<CBD = 36 deg
In triangle CBD, angles C and CBD measure 36 deg making them congruent.
Opposite sides DB and DC are congruent making triangle BCD isosceles.
<span>trapezoid area = ((sum of the bases) ÷ 2) • height
height = </span>trapezoid area / ((sum of the bases) ÷ 2)
height = 43.5 / ((6 + 8.5) / 2)
height = 43.5 / ((14.5) / 2)
height = 43.5 / (7.5)
height = 6 centimeters
Source:
http://www.1728.org/quadtrap.htm
Answer: y=4/3x-10
Step-by-step explanation: Find the equation using Point-Slope formula.
Hope this helps you out! ☺
<u>Answer-</u>
<u>Solution-</u>
The equation for time period of a simple pendulum is given by,
Where,
T = Time period,
L = Length of the rod,
g = Acceleration due to gravity.
Frequency (f) of the pendulum is the reciprocal of its period, i.e
Putting the values,
