Answer:
x = 0
y = 5
z = -5.
Step-by-step explanation:
X-5y-z=-20
-2x-y-6z=25
-x-4y-z=-15
Add equation 1 and 3:
-9y - 2z = -35 .......... A
Multiply the first equation by 2:
2x - 10y - 2z = -40
Now add this to equation 2:
-11y -8z = -15.............B
Now multiply equation A by -4:
36y + 8x = 140.........C
Add equations B and C:
25y = 125
y = 5.
Substitute for y in equation A:
-9*5 - 2z = -35
2z = -45 + 35 = - 10
z = -5.
Now find x by substituting for y and z in the first equation:
x - 5(5) - (-5) = -20
x - 20 = -20
x = 0.
5x-2+x=9+3x+10
6x-2=3x+19
3x=21
x=21/3
x=7
Answer:
6:1:2.
Step-by-step explanation:
If Ben's score is x then Abel's is 6x and Cal's is 6/3 = 2x.
Then Abel's to Ben's to Cal's
= 6x : x : 2x
= 6:1:2.
Answer: 4 cakes
Explanation: 2/3 is equal to 4/6. Each cake only takes 1/6 lbs. of sugar
Answer:
- Angles 1 & 2 are congruent/equal in measure
- Angles 1 & 3 are supplementary (I'm sure of this part) because they are adjacent and add up to 180° (I'm sure of this part, but I don't know what exact wording they are looking for in your problem)
- Angles 2 & 4 are supplementary (same reasoning as angles 1 &3)
Step-by-step explanation:
Angles in a trapezoid that are adjacent are always either congruent (meaning they have the same measure) or they are supplementary (meaning you take one small angle measuring less than 90° - known as an acute angle - and one large angle measuring more than 90° - known as an obtuse angle - and when you add the two angles together they will always equal 180° - which means they are supplementary).