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.
Answer:
y is directly proportional to 8
while x is inversily proportional to 8
Answer:
Sorry I cant answer this,
Step-by-step explanation:
More explanation and fix grammar.
Answer:
Step-by-step explanation:
Important Information:
Perimeter of rectangle=
Method:
The first step to work this out is to multiply the width of 85 by 2, this gives you 170.This is because a rectangle has two sets of equal sides. This means that there two widths.
The next step is to subtract 170 from the perimeter of 364, this gives you 194. This is because the formula for the perimeter of a rectangle is. This means that in order to isolate the values of the lenght we must subtract the values of the width.
The final step is to divide the value of 194 by 2, this gives you 97. This is because that is the value for 2*the length. That means in order to work out the value of 1 you would need to divide by 2.
Step By Step:
1) Multiply 85 by 2.
2) subtract 170 from 364.
3) Divide 194 by 2.
Yellow: 25.71% chance of you grabbing a yellow jelly bean
Green:34.29% chance of you grabbing a green jelly bean
Red: 40% chance of you grabbing a red jelly bean
