Answer:
Triangles are similar using AAA rule of similarity.
Step-by-step explanation:
Let's take triangle ACD. Where <D =60 degrees. <A =74.9 degrees and let's find <C using angle sum property of a triangle.
Please remember the sum of interior angle of a triangle is 180 degrees.
So, m<D= 180-60-74.9 =45.1 degrees.
Other triangle RST has the two angles as 74.9 degrees and 45.1 degrees.
So, third angle <T= 180-74.9-45.1= 60 degrees.
If we see the angles of a triangle, both has same angle measures.
That's <A= <R
<C= <S
<D= <T
So, the triangles are similar using AAA rule of similarity.
We will put ur equation in y = mx + b form, and the slope will be in the m position.
14x + 7y = -9
7y = -14x - 9
y = (-14/7)x - 9/7
y = -2x - 9/7
y = mx + b
y = -2x + (-9/7)....as u can see, the -2 is in the m position and is therefore the slope.
Answer:
The maximum amount of profit the company can make is $854.08
Step-by-step explanation:
Let
x ----> the selling price of each widget
y ---> the amount of profit
we have

This is the equation of a vertical parabola open downward (because the leading coefficient is negative)
The vertex represent a maximum
so
The y-coordinate of the vertex represent the maximum amount of profit the company can make
using a graphing tool
Find out the vertex of the quadratic equation
The vertex is the point (25.83,854.08)
see the attached figure
The y-coordinate of the vertex is 854.08
therefore
The maximum amount of profit the company can make is $854.08
Answer:
6
Step-by-step explanation:
A=16.35
B=21.5. ................