Answer:
Two angles of a quadrilateral : 220 and 90 deg.
The other two angles (x and y) are in ratio 2:3.
We have:
x + y = 360 - 220 - 90 = 50 (property of sum of 4 angles in quadrilateral)
x/y = 2/3 => x = 2y/3
=>2y/3 + y = 50
=> 5y/3 =50
=> 5y = 150
=> y = 30
=> x = 2 x 30/3 = 20
=> Two other angles are 20 and 30 deg
Hope this helps!
:)
Answer:
Step-by-step explanation:
a) Let the width = w
Two times its width = 2*w = 2w
9 inches less than 2w = 2w - 9
Length = 2w - 9
Area of rectangle = length *width = 180 square inches
(2w - 9 ) * w = 180
2w*w - 9*w = 180
2w² - 9w - 180 = 0
b) sum = -9
Product= -360
Factors = -24 , 15 {15 *[-24] = -360 and 15 + (-24) = -9 }
2w² - 9w - 180 = 0
2w² - 24w + 15w - 180 = 0
2w(w - 12w) + 15(w - 12) = 0
(w -12) (2w + 15) = 0
{Ignore 2w + 15 = 0 as measurements cannot be a -ve value}
w - 12 = 0
w = 12 inches
l = 2w -9
= 2*12 - 9
= 24 - 9
l = 15
length = 15 inches
Width = 12 inches
c) Perimeter = 2 *(length + width)
= 2*(15 + 12)
= 2 * 27
= 54 inches
The hypotenuse is 13.
The hypotenuse is the longest side of a right angled triangle
Answer:
2
Step-by-step explanation:
The mean is calculated as
mean = 
= 
= 
= 2
