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.
Hey there!!
Recursive formula :
... a( n ) = a ( n - 1 ) + 7
The first term is 12
To find the second term, we will need to substitute 2 in place of ' n '
2 term :
... a( 2 ) = a ( 2 - 1 ) + 7
... a( 2 ) = a( 1 ) + 7
We know a( 1 ) = 12
... a( 2 ) = 12 + 7
... 19 is the second term and we will need to use this to find the other terms.
Hope my answer helps!
3x-3=-12
3x=-9
X=-3
I am in calculus. Algebra is easy
Answer:
5
Step-by-step explanation:
Answer:
Angle Y = 35.69 degrees
Step-by-step explanation:
We can use some simple trigonometry to help us out. Here we know that side 7 is the opposite side relative to angle y, and 12 is the hypotenuse.
We think what trig ratio involves comparing opposite and hypotenuse. Sine is opposite over hypotenuse and we can set up a equation to solve.
Sine (Angle Y) = Opposite Side / Hypotenuse
Sine (Angle Y) = 7/12
(Angle Y) = Sine inverse (7/12)
Angle Y = 35.69
