Answer:
questions 2 answe is x+3less than equal to 13
Answer18:
The quadrilateral ABCD is not a parallelogram
Answer19:
The quadrilateral ABCD is a parallelogram
Step-by-step explanation:
For question 18:
Given that vertices of a quadrilateral are A(-4,-1), B(-4,6), C(2,6) and D(2,-4)
The slope of a line is given m=![\frac{Y2-Y1}{X2-X1}](https://tex.z-dn.net/?f=%5Cfrac%7BY2-Y1%7D%7BX2-X1%7D)
Now,
The slope of a line AB:
m=![\frac{Y2-Y1}{X2-X1}](https://tex.z-dn.net/?f=%5Cfrac%7BY2-Y1%7D%7BX2-X1%7D)
m=![\frac{6-(-1)}{(-4)-(-4)}](https://tex.z-dn.net/?f=%5Cfrac%7B6-%28-1%29%7D%7B%28-4%29-%28-4%29%7D)
m=![\frac{7}{0}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B0%7D)
The slope is 90 degree
The slope of a line BC:
m=![\frac{Y2-Y1}{X2-X1}](https://tex.z-dn.net/?f=%5Cfrac%7BY2-Y1%7D%7BX2-X1%7D)
m=![\frac{6-6}{(-4)-(-1)}](https://tex.z-dn.net/?f=%5Cfrac%7B6-6%7D%7B%28-4%29-%28-1%29%7D)
m=![\frac{0}{(-3)}](https://tex.z-dn.net/?f=%5Cfrac%7B0%7D%7B%28-3%29%7D)
The slope is zero degree
The slope of a line CD:
m=![\frac{Y2-Y1}{X2-X1}](https://tex.z-dn.net/?f=%5Cfrac%7BY2-Y1%7D%7BX2-X1%7D)
m=![\frac{(-4)-6}{2-2}](https://tex.z-dn.net/?f=%5Cfrac%7B%28-4%29-6%7D%7B2-2%7D)
m=![\frac{-10}{0}](https://tex.z-dn.net/?f=%5Cfrac%7B-10%7D%7B0%7D)
The slope is 90 degree
The slope of a line DA:
m=![\frac{Y2-Y1}{X2-X1}](https://tex.z-dn.net/?f=%5Cfrac%7BY2-Y1%7D%7BX2-X1%7D)
m=![\frac{(-1)-(-4)}{(-4)-(2)}](https://tex.z-dn.net/?f=%5Cfrac%7B%28-1%29-%28-4%29%7D%7B%28-4%29-%282%29%7D)
m=![\frac{3}{-6}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B-6%7D)
m=![\frac{-1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B2%7D)
The slope of the only line AB and CD are the same.
Thus, The quadrilateral ABCD is not a parallelogram
For question 19:
Given that vertices of a quadrilateral are A(-2,3), B(3,2), C(2,-1) and D(-3,0)
The slope of a line is given m=![\frac{Y2-Y1}{X2-X1}](https://tex.z-dn.net/?f=%5Cfrac%7BY2-Y1%7D%7BX2-X1%7D)
Now,
The slope of a line AB:
m=![\frac{Y2-Y1}{X2-X1}](https://tex.z-dn.net/?f=%5Cfrac%7BY2-Y1%7D%7BX2-X1%7D)
m=![\frac{2-3}{3-(-2)}](https://tex.z-dn.net/?f=%5Cfrac%7B2-3%7D%7B3-%28-2%29%7D)
m=![\frac{-1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B5%7D)
The slope of a line BC:
m=![\frac{Y2-Y1}{X2-X1}](https://tex.z-dn.net/?f=%5Cfrac%7BY2-Y1%7D%7BX2-X1%7D)
m=![\frac{(-1)-2}{2-3}](https://tex.z-dn.net/?f=%5Cfrac%7B%28-1%29-2%7D%7B2-3%7D)
m=![\frac{-3}{-1}](https://tex.z-dn.net/?f=%5Cfrac%7B-3%7D%7B-1%7D)
m=3
The slope of a line CD:
m=![\frac{Y2-Y1}{X2-X1}](https://tex.z-dn.net/?f=%5Cfrac%7BY2-Y1%7D%7BX2-X1%7D)
m=![\frac{0-(-1)}{(-3)-2}](https://tex.z-dn.net/?f=%5Cfrac%7B0-%28-1%29%7D%7B%28-3%29-2%7D)
m=![\frac{-1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B5%7D)
The slope of a line DA:
m=![\frac{Y2-Y1}{X2-X1}](https://tex.z-dn.net/?f=%5Cfrac%7BY2-Y1%7D%7BX2-X1%7D)
m=![\frac{3-0}{(-2)-(-3)}](https://tex.z-dn.net/?f=%5Cfrac%7B3-0%7D%7B%28-2%29-%28-3%29%7D)
m=3
The slope of the line AB and CD are the same
The slope of the line BC and DA are the same
Thus, The quadrilateral ABCD is a parallelogram
Answer:
B. 2.2π m² : 3.2π m²
Step-by-step explanation:
Given:
Slant height (l) = 2.2 m
Diameter (d) = 2 m
Radius (r) = ½(2) = 1 m
Required:
Lateral area and surface area
Solution:
✔️Formula for lateral area of a cone = πrl
Plug in the values
Lateral area of the cone = π*1*2.2
Lateral area = 2.2π m²
✔️ Formula for surface area of a cone = πr(l + r)
Plug in the values
Surface area of the cone = π*1(2.2 + 1)
Surface area = π(3.2)
Surface area = 3.2π m²
The answer would therefore be:
2.2π m² : 3.2π m²
Answer:
<h2><em><u>120</u></em><em><u> </u></em><em><u>square</u></em><em><u> </u></em><em><u>units</u></em><em><u> </u></em></h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>, </u></em>
Base of the parallelogram = 10
Height of the parallelogram = 12
<em><u>Therefore</u></em><em><u>, </u></em>
Area of the parallelogram = <em>base</em><em> </em><em>×</em><em> </em><em>height</em><em> </em>
= 10 × 12
= 120
<em><u>Hence</u></em><em><u>,</u></em>
<em><u>Area</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>parallelogram</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>120</u></em><em><u> </u></em><em><u>square</u></em><em><u> </u></em><em><u>units</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>