Atriangle with area 45 square inches has a height that is two less than four times the width. find the width and height of the triangle.

The width is 5 inches and the height is 18 inches.

Step-by-step explanation:

The area of a triangle can be calculated as:

A = w*h/2

where w is the width of the base, and h is the height.

then we have that:

w*h/2 = 45 in^2

and the height is 2 less than 4 times the width.

h = 4*w - 2in

then we have a system with 2 equations:

w*h/2 = 45 in^2

h = 4*w - 2in

We can replace the second one in the first one and solve it for w.

w*(4*2 - 2in)/2 = 45 in^2

2w^2 - w = 45in^2

2w^2 - w - 45in = 0

then we have to solve the quadratic equation:

the solutions are:

w = (1 +- √(1^2 - 4*2*(-45))/(2*2) = (1 + - √361)/4

where we have two solutions for w, one for each sign of the square root.

we obviously need to take the positive solution (because we can not have a negative length)

w = (1 + √361)/4 = 5in

now, we can replace it in the equation "h = 4*w - 2in" to get the height.

h = 4*5in - 2in = 18in

segment bisector

step-by-step explanation:

line segment bisector. definition: a line, ray or segment which cuts another line segment into two equal parts. try this drag one of the orange dots at a or b and note the the line ab always divides the line pq into two equal parts.

mark brainliest!

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2