Answer:
y equals -1.16 (repeating decimal)
Step-by-step explanation:
I got the answer by first solving what is in the parentheses. 42-6=36. After this, I subtracted 36 on both sides to get the variable (y) by itself. After I did this, I had 24y = -28. So, I divided both sides by 24 (24y). The y was left by itself and -28/24=1.16 (repeating decimal).
<em><u>Therefore, y=1.16,1.17 when rounded, or -7/6 as a fraction</u></em>
Answer:
SAS
Step-by-step explanation:
The two triangles share a side, so that would be reflexive to show that side is congruent. Also, keep in mind that all right angles are congruent! The picture already tells us that the two outer side are congruent. So in conclusion, the two angles are congruent by SAS.
Hope this helps! :)
90 minutes because 20 + 20 + 20 + 20 + 10 = 90
Answer:
A) x = − 1, y = 2, z = 3
Step-by-step explanation:
4x − 2y + 3z = 1
x + 3y − 4z = −7
3x + y +2z = 5
Lets eliminate x by multiplying the second equation by -4
4x − 2y + 3z = 1
-4x - 12y + 16z = 28
-----------------------------
-14y +19z = 29
Lets eliminate x by multiplying the second equation by -3
-3x + -9y +12z = 21
3x + y +2z = 5
---------------------------
-8y +14z =26
We now have 2 equations and 2 unknowns
-14y +19z = 29
-8y +14z = 26 Divide this by 2 = -4y +7z = 13
Multiplying the first equation by 4 and the second by -14
-56y +76z =116
56y -98z = -182
----------------------------
-22z =-66
Divide each side by -22
-22z/-22 = -66/-22
z=3
Now we need to find y
-14y +19z = 29
-14y +19(3) =29
-14y+ 57 = 29
-14y =29-57
-14y =-28
y =2
Now we need to find x
x + 3y − 4z = −7
x + 3(2) -4(3) =-7
x+6 -12 =-7
x-6 = -7
x = -1