Answer:
x + y + z = 180 (this is the first equation)
w + z = 180 (this is the second equation)
Now, rewrite the second equation as z = 180 - w and substitute that for z in the first equation:
x + y + (180 - w) = 180
x + y - w = 0
x + y = w
Step-by-step explanation:
Answer:
Yes.
Step-by-step explanation:
You can use the Pythagorean theorem to figure this out.
5²+12²=13²
25+144=169
169=169
You can also look at the bottom left corner, which is a right angle. All triangles containing right angles are right triangles.
You can also base your answer off of the fact that triangles are kind of like <u>G</u>oogle: They're always right. (jk no that's not true neither are always right)
Note:
If you're a Connexus student, please join my class on Quizlet using this link: https: // quizlet. com / join / 6nmuZyd2M (copy-paste into search, then take out ALL spaces)
Answer:
Step-by-step explanation:
For X=-2,
Y= 3x-1
Y= 3(-2) -1
Y= -6-1. = -7.
For X= 1
Y= 3(1)-1
Y= 3-1= 2
For X= 0
Y= 3(0)-1
Y= 0-1 = -1
For X= 1
Y= 3(1)-1
Y= 3-1= 2
Answer:
there is one solution in my opinion
Step-by-step explanation:
This looks complicated
lets simplify both sides
By multiplying top and bottom by the conjugate:-
left side = (5-3i)(x + iy) (4+5i) (5-3i)(x + iy) (4+5i)
------------------------ = ------------------------
(4-5i)(4+5i) 41
right side = (2 + i + 3-4)(2+i - 3 + 4i) (by Difference of 2 squares)
= 5-3i)(-1 + 4i)
so as left side = right side
(5-3i)(x+yi)(4+5i) = 41 (5-3i)(-1+5i)
5-3i is common so:-
(x + iy)(4+5i) = 41(-1+5i)
4x +5xi + 4yi - 5y = -41 + 205i
4x - 5y + (5x + 4y)i = -41 + 205i
EQuating coefficients we are left with the system of equations
4x - 5y = -41
5x + 4y = 205
solving this gives x = 21 and y = 25
