Answer:
x = 200/3
Step-by-step explanation:
Apply Thales theorem, we have:
80/(2x) = 60/27
Let's simplify both sides:
40/x = 20/9
or
x/40 = 9/20
Multiplying both sides by 40, we have:
(40/40)x = (20/9)*40
Let's simplify one more time:
x = (20*40)/(9)
or
x = 200/3
Hope this helps!
Answer:
The value of x is 12
Step-by-step explanation:
To find the value of x, we need to note that the interior angles are equal to 180. We also know that angle R is equal to 180 - (8 + 6x). So we can add all of this together and set equal to 180.
180 - (8 + 6x) + 4x + 2 + 30 = 180
180 - 8 - 6x + 4x + 2 + 30 = 180
-2x + 24 = 0
-2x = -24
x = 12
Answer:
seven hundred and twenty nine
Answer: There are 97 nickels and 108 quarters.
Step-by-step explanation:
Let x = Number of nickels, y = Number of quarters.
As per given,
x+y = 205 ...(i)
0.05x+0.25y = 31.85 ... (ii) [1 nickel = $0.05, 1 quarter = $ 0.25]
Multiply (ii) by 20, we get
x+5y=637 ...(iii)
Eliminate (i) from (iii)
4y = 432
⇒ y = 108 [Divide both sides by 4]
Put value of y in (i), we get
Hence, there are 97 nickels and 108 quarters.
Answer:
x≤2
Step-by-step explanation:
