The Answer is 5, hope this helped
Given:
An equation in a coincidental system of two linear equations:
2x + 3y = -27
The other equation is
_y = _x - 102
Rearrange the second equation to be identical to the first
_y - _x = -102
Determine the factor, -102/-27 = 3.78
for x, 2 * 3.78 = 7.56
for y, 3 * 3.78 = 11.33
The second equation, 11.33y - 7.56x = -102
Answer:
![\angle A \cong \angle D](https://tex.z-dn.net/?f=%20%5Cangle%20A%20%5Ccong%20%5Cangle%20D%20)
Step-by-step explanation:
Two ∆s can be considered to be congruent to each other using the Side-Angle-Side Congruence Theorem, if an included angle, and two sides of a ∆ are congruent to an included angle and two corresponding sides of another ∆.
∆ABC and ∆DEF has been drawn as shown in the attachment below.
We are given that
and also
.
In order to prove that ∆ABC
∆DEF using the Side-Angle-Side Congruence Theorem, an included angle which lies between two known side must be made know in each given ∆s, which must be congruent accordingly to each other.
The included angle has been shown in the ∆s drawn in the diagram attached below.
Therefore, the additional information that would be need is:
![\angle A \cong \angle D](https://tex.z-dn.net/?f=%20%5Cangle%20A%20%5Ccong%20%5Cangle%20D%20)
Answer:
sin x = cos y
Step-by-step explanation:
sin theta = opp / hyp
cos theta = adj / hyp
First find the hyp
a^2 + b^2 = c^2 from the Pythagorean theorem
5^2+12^2 = hyp^2
25+144= hyp^2
169= hyp^2
Taking the square root of each side
sqrt(169) =sqrt(hyp^2)
13= hyp
sin x = opp / hyp=5/13
sin y = 12/13
cos x = 12/13
cos y = 5/13
sin x = cos y