When added, these two angles are supplementary, meaning that their sum is 180. This means that we can do the following to find x, and eventually DBC:
3x+67+4x+50=180
Simplifies to:
7x+117=180
Then by the Subtraction Prop. of Equality:
7x=63
Then divide by 7 on both sides to get that x=9.
We then substitute 9 into angle DBC.
4(9)+50
=36+50
DBC=86
:)
First option:
y=money saved
x=number of months
y=30x+500
Second option:
y=50x+200
We have this system of equations:
y=30x+500
y=50x+200
We can solve this system of equations by equalization method
30x+500=50x+200
30x-50x=200-500
-20x=-300
x=-300/-20
x=15
so;
y=30x+500
y=30(15)+500
y=450+500
y=950
Answer; after 15 months, she would save the same amount using either option, the amount saved in either option will be $950.
Answer:
a
Step-by-step explanation:
Answer:
y = 5
Step-by-step explanation:
<u>Equation:</u>
m<DGF = m<DGE + m<EGF
<u>Given:</u>
m<DGF = 12y - 5
m<DGE = 5y + 6
m<EGF = 24
<u />
<u>Work:</u>
m<DGF = m<DGE + m<EGF
12y - 5 = 5y + 6 + 24
12y - 5 = 5y + 30
12y - 5y = 30 + 5
7y = 35
y = 5
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