Answer: D
Step-by-step explanation:
A counterexample is an isosceles trapezoid.
Answer:
Vertex
Vertex are the end points of parabola where it opens up
locus are the group of points
latus rectum is the line parallel to it .
Answer:
Option (D)
Step-by-step explanation:
In the given triangle ABC,
Sum of all interior angles = 180°
m∠A + m∠B + m∠C = 180°
72° + 85° + m∠C = 180°
m∠C = 180 - 157
m∠C = 23°
By applying Sine rule in the triangle,
![\frac{\text{SinA}}{a}=\frac{\text{SinB}}{b}=\frac{\text{SinC}}{c}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BSinA%7D%7D%7Ba%7D%3D%5Cfrac%7B%5Ctext%7BSinB%7D%7D%7Bb%7D%3D%5Cfrac%7B%5Ctext%7BSinC%7D%7D%7Bc%7D)
![\frac{\text{Sin72}}{a}=\frac{\text{Sin85}}{b}=\frac{\text{Sin23}}{6.2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BSin72%7D%7D%7Ba%7D%3D%5Cfrac%7B%5Ctext%7BSin85%7D%7D%7Bb%7D%3D%5Cfrac%7B%5Ctext%7BSin23%7D%7D%7B6.2%7D)
![\frac{\text{Sin72}}{a}=\frac{\text{Sin85}}{b}=0.06302](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BSin72%7D%7D%7Ba%7D%3D%5Cfrac%7B%5Ctext%7BSin85%7D%7D%7Bb%7D%3D0.06302)
![\frac{\text{Sin72}}{a}=0.06302](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BSin72%7D%7D%7Ba%7D%3D0.06302)
a =
= 15.09
![\frac{\text{Sin85}}{b}=0.06302](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BSin85%7D%7D%7Bb%7D%3D0.06302)
b = ![\frac{\text{Sin85}}{0.06302}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BSin85%7D%7D%7B0.06302%7D)
b = 15.81
Therefore, option (D) will be the answer.
2x+10 x + 3
------------ = --------------
10 4
4(2x+10) = 10(x+3)
8x + 40 = 10x + 30
2x = 10
x = 5
AE =2x+10 = 2(5) +10 = 20
answer
20 units