Answer:
c (2,3,-2)
Step-by-step explanation:
3x+y+z = 7
x+3y-z =13
y = 2x-1
Add the first two equations together to eliminate z
3x+y+z = 7
x+3y-z =13
----------------------
4x+4y = 20
Divide by 4
4x/4 + 4y/4 = 20/4
x+y = 5
We know y = 2x-1. substitute this into the equation
x+ (2x-1) = 5
Combine like terms
3x-1 =5
Add 1 to each side
3x-1+1 =5+1
3x=6
Divide by 3
3x/3 = 6/3
x=2
Now we can find y
y = 2x-1
y = 2(2)-1
y =4-1
y= 3
We know x and y, now we need to find z
3x+y+z = 7
3(2) +3 +z = 7
6+3+z =7
9+z=7
Subtract 9 from each side
(-9+z =7-9
z=-2
So x=2,y=3 =-2
(2,3,-2)
for every member to get a shirt you would need to order 9 packages of shirt (because 5 times 9 is 45) and for caps the minimum to order would be 15 packages of caps
explanation
caps=3 per package
shirts=5 per package
divide 45 by and get 15
15 is the total packages of hats needed to order
for shirt 45 divided by 5 is 9
9 is the total packages of shirts needed to order
Answer:
Yes.
Step-by-step explanation:
Because sides are parallel, corresponding angles are congruent (angle W = angle V and angle U = angle T). By the third angle theorem (or you can use the reflexive property if that's easier), angle S = angle S. To determine triangles as similar, all angles must be congruent, and all sides must be equally proportional. This is true here because all of the angles are equal, so all of the sides must be proportional (I don't remember the theorem here)
To get the answer of x, use the proportional formula (UW/TV = US/TS). So (12/3)=(9/x), 4 = 9/x, 4x = 9, x = 9/4.
Answer:
it’s D, Converse of the same side interior angles theorem
Step-by-step explanation:
Edge 2020
Answer:
Angle JML= 132( given)
Triangle JML= 180( Angle sum property)
2x+ 48= KML( Exterior angle property)
In triangle JML,
76 + ∠L+ ∠KML=180°
∠KML=∠L( angles opposite to equal sides are equal)
76+2(2x+48)=180°
2(2x+48)=104°
2x=104-48=64°
x= 32°
Step-by-step explanation:
Hope it helps : )
