If we substitute 2 into x it'll be:
4x - 2y - z = - 5 ______×2x - 3y + 2z = 3 _______×13x + y - 2z = - 5 ______×1
8x - 4y - 2z = - 10x - 3y + 2z = 33x + y - 2z = - 5
8x - 4y - 2z = - 10(+) x - 3y + 2z = 3_____________9x - 7y = - 77y = 9x + 7y = 9/7x + 1
x - 3y + 2z = 3(+) 3x + y - 2z = - 5_____________4x - 2y = - 24x - 2(9/7x + 1) = - 24x - 18/7x - 2 = - 210/7x = 0x = 0
y = 9/7(0) + 1y = 1
0 - 3(1) + 2z = 32z = 6z = 3
Answer:
<h2><em><u>
t = 15.2 is the answer</u></em></h2>
Step-by-step explanation:
<h2><em><u>
1. Make an equation</u></em></h2>
numbers to find perimeter = perimeter
Side + Side + 2 unknown sides = perimeter
12 + 7.8 + 2t = 50.2
<h2><em><u>
2. Simplify like terms</u></em></h2>
19.8 + 2t = 50.2
<h2><em><u>
3. Solve</u></em></h2>
19.8 + 2t = 50.2
-19.8 - 19.8
2t = 30.4
<h2><em><u>
t = 15.2</u></em></h2>
<h2><u><em>
4. Check:</em></u></h2>
12 + 7.8 + t + t = 50.2
12 + 7.8 + (15.2) + (15.2) = 50.2
<h2><em><u>
50.2 = 50.2</u></em> Correct!</h2><h2 />
Hope this helped,
Kavitha
9514 1404 393
Answer:
21.8 cm
Step-by-step explanation:
A useful way to write the Law of Sines relation when solving for side lengths is ...
a/sin(A) = b/sin(B)
Then the solution for 'a' is found by multiplying by sin(A):
a = sin(A)(b/sin(B)) = b·sin(A)/sin(B)
__
We need to know the angle A. Its value is ...
A = 180° -75° -31.8° = 73.2°
Then the desired length is ...
a = (22 cm)sin(73.2°)/sin(75°) ≈ (22 cm)(0.9573/0.9659)
a ≈ 21.8 cm
_____
I like to use the longest side and largest angle in the equation when those are available. That is why I chose 75° and 22 cm.
799, 499, and 191. (I got it off the textbook online.)
