Answer:
The answer to your question is:
x = 1
y = 1
z = 0
Step-by-step explanation:
-2x + 2y + 3z = 0 (1)
-2x - y + z = -3 (2)
2x + 3y + 3z = 5 (3)
Solve (1) and (2)
Multiply 2 by 2
-2x + 2y + 3z = 0
-4x -2y + 2z = -6
-6x + 5 z = -6 (4)
Solve (2) and (3)
Multiply 2 by 3
-6x - 3y + 3z = -9
2x + 3y + 3z = 5
-4x + 6z = -4 (5)
Solve (4) and (5)
Multiply (4) by 2 and (5) by -3
-12x + 10 z = -12
12x - 18z = 12
-6z = 0
z = 0
Then
-4x + 6(0) = -4
-4x = -4
x = -4/-4
x = 1
Finally
-2(1) - y + (0) = -3
-2 - y = -3
-y = -3 + 2
y = 1
Answer:
Stem and Leaf Plot:
Stem ---- Leaf
6 ---- 0 3 5 7 7 8 9
7 ---- 0 1 1 1 2 3 4 6 6 7 8 9
8 ---- 0 1 3 7 9
9 ----
3 4 8
10
11
12
13
14
15
16
17 ---- 2
18
19
20
Step-by-step explanation:
I hope this helps...
Value of x is 76°
<u> </u><u>Step-by-step explanation:</u>
Given :- ∠JIH = 107°
and, JDI = 31°
To find :- value of x
solution:- ∠JIH + ∠JID =180° (the sum of angles on a line are supplementary)
∠JID = 180° - 107°
∠JID = 73°
Now in ΔJID
∠JID = 73° and ∠JDI = 31°
by angle some property of Δ
so, ∠JDI + ∠JID + ∠DJI = 180°
= 31° + 73° + ∠DJI = 180°
= 104° + ∠DJI = 180°
∠DJI = 180° - 104°
∠DJI = 76°
now, ∠DJI = ∠AJF = ∠X
so, x = 76°
hence value of x is 76°
The arc sine of 0.5 is 30 degrees Therefore x = 30 degrees
The cosine of x = cosine of 30 degrees = 0.86603
(rounded to nearest hundredth is .87)
