It seems that you missed the essential details for this question, but anyway, I have found the complete question. So given that angles m<A=32 and m<B=55, let us find first for the measure of angle c. So m<C= <span>180 - 32-55 = 93, so it is 93. Based on these measurements, Triangle ABC is an obtuse triangle. By definition, an obtuse triangle is a triangle in which one of its angles is obtuse or which measures more than 90 degrees. Hope this answer helps.</span><span>
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Answer:
C
Step-by-step explanation:
The equation of a line is given by 
and
slope (m) is given by:

Where (x_1,y_1) are the first set of point in the line and (x_2,y_2) is the second set of point
<em>Let's take 2 points arbitrarily. (0,0) & (25,20)</em>
<em />
<em>Let's plug it and find the equation:</em>
<em>
</em>
<em>Now</em>
<em>
</em>
<em />
<em>C is the correct answer.</em>
Answer:

Step-by-step explanation:
An equation in the vertex form is written as

Where the point (h, k) is the vertex of the equation.
For an equation in the form
the x coordinate of the vertex is defined as

In this case we have the equation
.
Where

Then the x coordinate of the vertex is:

The y coordinate of the vertex is replacing the value of
in the function

Then the vertex is:

Therefore The encuacion excrita in the form of vertice is:

To find the coefficient a we substitute a point that belongs to the function 
The point (0, -1) belongs to the function. Thus.


<em>Then the written function in the form of vertice is</em>

The picture in the attached figure
we know that
In similar triangles. The ratio of the lengths of the sides CS and CB must be equal to the ratio of the lengths of sides CR and CA. CS / CB = CR / CA
which can also be written as,
CS / (CS + SB) = CR / (CR + RA)
CS*(CR+RA)=CR*(CS+RA)
CS=2x+1
SB=6x
CR=7.5
RA=18
(2x+1)*[7.5+18]=7.5*[2x+1+18]
(2x+1)*[25.5]=7.5*[2x+19]
(51x+25.5)=15x+142.5
51x-15x=142.5-25.5
36x=117
x=117/36
x=3.25
the answer is x=3.25