Answer:
AE/AD=EB/DC
Step-by-step explanation:
Answer:
D. b = 3
Step-by-step explanation:
Given the following data;
Points on x-axis (x1, x2) = 10, 12
Points on y-axis (y1, y2) = 23, 27
First of all, we would determine the slope.
Mathematically, slope is given by the formula;
Substituting into the equation, we have;
Slope, m = 2
The equation of straight line is y = mx + b
Where;
m is the slope.
x and y are the points
b is the intercept.
To find the intercept, we would use the following formula;
y - y1 = m(x - x1)
Substituting into the formula, we have;
y - 23 = 2(x - 10)
y - 23 = 2x - 20
y = 2x - 20 + 23
y = 2x + 3 = mx + b
Therefore, intercept, b = 3
Answer:we must have two angles and a side so therefore, A IS THE CORRECT OPTION
Step-by-step explanation:
Answer:
x:y = 1:1 or 2:3
Step-by-step explanation:
By a difference of squares, we get:
(y+x)(y-x)=5(y-x)^2
move all to one side:
(y+x)(y-x) - 5(y-x)^2 = 0
take a common factor of (y - x) out and expand and simply the other factor:
(y - x)[y+x-5(y-x)] = 0
(y - x)(-4y + 6x) = 0
By the null factor rule:
x = y
=> x:y = 1:1
or
6x = 4y
=>
x:y = 4:6
x:y = 2:3
Answer:
63 ft^2
Step-by-step explanation:
The hole is the rectangle minus the area of the triangle.
The area of the rectangle is
A =l*w
A = 12*6
=72
The area of the triangle is
A = 1/2 b*h
= 1/2 (3*6)
= 9
A rectangle - A triangle = A hole
72 - 9
63