Hi there!
We can begin by finding ∠VUY so we can solve for ∠UVY.
∠VUY is supplementary to ∠TUY, so:
180 = 144 + ∠VUY
∠VUY = 36°
In a triangle, angles sum up to 180°, so:
180 = 36° + 79° + m∠UVY
m∠UVY = 65°
Solve for m∠VYZ by comparing the angle to m∠UVY because the angles are alternating interior angles. Thus:
m∠UVY = m∠VYZ = 65°.
<h2>
Ordered triple are (4,-2,1)</h2>
Step-by-step explanation:
We need to find ordered triple of 2x + 5y - 3z = -5 , 3x + 2y + 7z = 15 and 5x - 4y + 6z = 34
2x + 5y - 3z = -5 -------------------------eqn 1
3x + 2y + 7z = 15 -------------------------eqn 2
5x - 4y + 6z = 34 -------------------------eqn 3
eqn 1 + eqn 2
5x + 7y + 4z = 10 -------------------------eqn 4
eqn 4 - eqn 3
11y - 2z = -24 -------------------------eqn 5
eqn 1 x 3
6x + 15y - 9z = -15 -------------------------eqn 6
eqn 2 x 2
6x + 4y + 14z = 30 -------------------------eqn 7
eqn 7 - eqn 6
-11y + 23z = 45 -------------------------eqn 8
eqn 5 + eqn 8
21 z = 21
z = 1
Substituting in eqn 8
-11y + 23 x 1 = 45
-11 y = 22
y = -2
Substituting in eqn 1
2x + 5 x -2 - 3 x 1 = -5
2x = 8
x = 4
Ordered triple are (4,-2,1)
Answer:
5
Step-by-step explanation:
5x5 = 25
25-20 = 5
Answer:
G.
Step-by-step explanation:
I can't explain this one the best, but basically what I did was enter the fraction into my calculator and then used the S to D to get my answer.
(hope this helps!)
Answer:x=2, y=3
Step-by-step explanation:
solving this equation simultaneously
-9x - 2y=-12.............(1)
2x + 5y=-11.. ...........(2)
Using elimination method
Multiply equation 2 by 2 and equation 1 by 5
-45x -10y= -60...........(3)
4x + 10y=-22...............(4)
Subtracting equation 2 from 1
-41x + 0=-82
41x=82
x=82/41
X=2
To find y put x in equation 1
-9x - 2y= -12
-9(2)-2y=-12
-18-2y=-12
-2y=-12+18
-2y=6
Y= 6/2
Y=3
X=2, Y=3
