There are two equation:
1) From Kim
2) From Daniel
Let:
x be the cost of rolls of plain wrapping paper
y be the cost of rolls of shiny wrapping paper
Kim:
7x + 8y = 140
Daniel:
14x + 7y = 154
<u>Using elimination method:</u>
(7x + 8y = 140) * -2 (Multiplying the equation by -2)
-14x - 16y = -280
-14x -16y = -280
14x + 7y = 154
------------------------------
0x - 9y = -126
9y = 126 (Negative sign cancels from both sides)
y = 126 /9
y = 14
The cost of each shiny wrapping paper is $14.
Now solve x, you pick any two equation to solve for x.
7x + 8y = 140
7x + 8(14) = 140 (You know from above y =14)
7x + 112 = 140
7x = 28
x = 28/7
x = 4
The cost of each plain wrapping paper is $4.
Solution: (4,14)
Answer:
$3
Step-by-step explanation:
17 - 5 = 12 divided by 4 = 3
4 consecutive even integers....x, x + 2, x + 4, x + 6
5(x + x + 4) = 9(x + 6) - 12
5(2x + 4) = 9x + 54 - 12
10x + 20 = 9x + 42
10x - 9x = 42 - 20
x = 22
x + 2 = 22 + 2 = 24
x + 4 = 22 + 4 = 26
x + 6 = 22 + 6 = 28
so ur numbers are : 22,24,26, and 28
Answer:
Table :
Statements Reasons
1)ΔEGC≅ΔEGB Given
2)EB = EC Corresponding Parts of Congruent
Triangles are Congruent
3) BC = BE Given
4) By 2 and 3 EB≅EC≅BC
5)∠BEC = 60° ΔBEC is an equilateral triangle
Step-by-step explanation:
We are given that BE = BC ---1
We are also given that ΔEGC≅ΔEGB
So, BE = CE(Corresponding Parts of Congruent Triangles are Congruent) ---2
Now By 1 and 2
BE=BC=CE
In ΔBEC
BE=BC=CE
Since all sides are equal . So, it is an equilateral triangle
All angles of equilateral triangle are also equal i.e. 60°
So, ∠BEC = 60°
Hence proved
Table :
Statements Reasons
1)ΔEGC≅ΔEGB Given
2)EB = EC Corresponding Parts of Congruent
Triangles are Congruent
3) BC = BE Given
4) By 2 and 3 EB≅EC≅BC
5)∠BEC = 60° ΔBEC is an equilateral triangle
