Answer:
One
Step-by-step explanation:
Clearly, one triangle can be constructed as the angles 45 and 90 do not exceed 180 degrees. (so "None" is not correct)
To show that only one such triangle exists, you can apply the Angle-Side-Angle theorem for congruence.
Since one triangle can be constructed, it remains to be shown that no additional triangle that is not congruent to the first one can be created: I will use proof by contradiction. Let a triangle ABC be constructed with two angles 45 and 90 degree and one included side of length 1 inch. Suppose, I now construct a second triangle that is different from the first one but still has the same two angles and included side. By applying the ASA theorem which states that two triangles with same two angles and one side included are congruent, I must conclude that my triangle is congruent to the first one. This is a contradiction, hence my original claim could not have been true. Therefore, there is no way to construct any additional triangle that would not be congruent with the first one, and only one such triangle exists.
Im sorry i dont understand the question.. Is there another form of the question you can give me?
Answer:
The vehicle covers 126 miles on 7 gallons of fuel.
Step-by-step explanation:
Given:
The distance traveled is directly proportional to the amount of fuel.
For
gallons of fuel distance traveled
miles can be given as:
∝ 

where
is constant of proportionality.
The vehicle covers
miles on
gallons.
So

Dividing both sides by 5.


∴ 
When
gallons

miles
∴ The vehicle covers 126 miles on 7 gallons of fuel.
Answer:

Step-by-step explanation:
The graph of the equation that will contain the points (2, 3) and (3, 2) is the graph that has a slope value that is equivalent to the slope value of the line running through the two points.
Slope of the line running through (2, 3) and (3, 2):
.
Slope (m) = -1.
The equation,
, is given in the slope-intercept form, which means it has a slope value of -1. I.e. the term "-x" is equivalent to -1x. So therefore, the graph of the equation that contains the points (2, 3) and (3, 2) is
.
Answer:
131
Step-by-step explanation:
You just put the biggest number in the box, and then you divide by the lower number.