ΔADC ≅ ΔBCD (SAS congruency)
∠AED ≅ ∠BEC (opposite angles)
ΔAED ≅ ΔBEC (ASA congruency)
Therefore DE <span>≅ CE (corresponding sides of the two congruent triangles AED and BEC)</span>
<span>x - 8y = 46.5
x - 13y = 39.0
subtract the equations to solve for y
5 y = 46.5 - 39
y = 1.5 so he saves 1.5 seconds per step he runs.
sub in y to solve for x
x - 8 (1.5) = 46.5
x - 12 = 46.5
x = 58.5 seconds </span>
6x10=60m^2
2x1.5=3m^2
Pi x 2^2=12.566m^2
60-3-12.566=44.433
44.433/10=4.43
So around 5 bags
5 x4x60=£23
For a quadratic equation, the negative of the numerical coefficient of the second term is the sum of the roots and the constant is their product. Let a and b be the roots such that,
a + b = 8
ab = 16
The values of a and b are 4 and 4. Such that the factors are,
(d² - 4)(d² -4)
Both the factors are difference of two squares. The final answer for this item is,
(d + 2)(d - 2)(d + 2)(d - 2)
This is letter D.