To solve the system of equations by elimination, what could you multiply each equation by to cancel out the x-variable?A:6x-3y=-
1 answer:
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The correct answer is
m∠B ==101°,
m∠C =79°,
m∠D=101°
Step-by-step explanation:
- As we know that, it is a parallelogram opposite angels are congruent
- Therefore, m∠A = m∠C and m∠B =m∠B
- As we know that, If side a=79 then side c must also be equal to 79
- When we consider all the angles and add them it must be equal to 360°
- When we add 79+79 = 158°, which mean a=c= 158°
- By subtracting all the sides of parallelogram which is 360- 158= 202°
- If we divide it by 2 then we will get the value of the other side of the angle which is b and d.
- Dividing 202 by 2
= 101°
- Therefore, the value of b=d=101°
- A Parallelogram is a flat shape with an opposite sides parallel and they are equal in length.
- A parallelogram has four sides, and the opposite sides are parallel and they don't intersect.
The formula for depreciation is:
Where x = Initial value,
y= Amount after depreciation.
r= Rate of depreciation,
t = time (in years)
According to given problem,
x = 1040, y= 944 and t = 12 months =1 year.
So, first step is to plug in these values in the above formula, So,
944 = 1040 (1 -r)
Divide each sides by 1040.
0.907692308 =1 - r
0.907692308 - 1 = -r Subtract 1 from each sides.
-0.092307692 = -r
So, r = 0.09 or 9%.
Now plug in 0.09 in the above equation to get the depreciation equation. So,
So,
b) To find the value of the bike after 5 months,
plug in t = 5 months= 5/12 = 0.41667 years in the above equation of depreciation.
So,
y = 1040 * 0.961465659
y = 999.9242852
y = 1000 (Rounded to nearest integer).
Hence, the value of the bike after 5 months is $1000.