Step-by-step explanation:
pq = 3 - a√x
Making x subject
a√x = 3 - pq
√x = (3 - pq) / a
x = [ (3 - pq) /a ]²
Hope it will help :)
Opposite angles of a rhombus have equal measure.
angle LNM= 23 (interior alternate angles here are angle LNM and angle KLN)
since ML =MN (sides of a rhombus are equal)
angle LNM = angle MLN = 23
angle LNK = 23 (interior alternate angles LNK and LNM )
angle x= 23 +23 = 46
angle y = 180 - (23+23)
= 180 - 46 = 134
in short,,
angle x= 46 and angle y = 134
hope it helps you
Answer:
21 quarters and 23 nickels. The quarters value at $5.25 and the nickels value at $1.15.
Step-by-step explanation:
This situation has two unknowns - the total number of nickels and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
- is an equation representing the total number of coins
- is an equation representing the total value in money based on the number of coin. 0.05 and 0.25 come from the value of a nickel and quarter individually.
We write the first equation in terms of q by subtracting it across the equal sign to get . We now substitute this for n in the second equation.
After simplifying, we subtract 2.2 across and divide by the coefficient of q.
We now know of the 44 coins that 21 are quarters. To find the total value of the quarters, we multiply 21 by 0.25 and find 5.25.
Since there are 21 quarters out of 44, there must be 23 nickels. To find the total value of the nickels, we multiply 23 by 0.05 and find 1.15.
These would all be correct!