Answer:
Step-by-step explanation:
Step 3:
Let LM = x
OK = KP = 12 units [Radii of circle K]
LN = LP = 8 units [Radii of circle L]
Therefore, KL = KP + PL
KL = 12 + 8
= 20 units
Step 4:
Since, ΔKOM and ΔLNM are the similar triangles,
By the property of two similar triangles, corresponding sides of these similar triangles will be proportional.
12x = 8(x + 20) [By cross multiplication]
12x = 8x + 160
12x - 8x = 160
4x = 160
x = 40
In this equation, we're trying to find if she has enough money to buy a $12 movie ticket.
We know that she buys a bag for $45.50, with a 5% tax rate. Let's calculate the total cost of the bag after tax.
45.50 · 1.05 = 47.775
Round to the nearest hundredths place
$47.78
She spent $47.78 on the bag.
She has $60, so calculate how much money she has left.
60 - 47.78 = 12.22
She has $12.22 left to spend.
This means that she has enough money to buy the movie ticket.
She would also have 22 cents left to spare.
Answer:
Yes, she has enough money to buy the movie ticket
- 5 because that's where the line crosses the y axis on a graph
The formula for the secants of a circle is, in this case, (AB + BC) x BC = (ED + DC) x DC. After plugging in the known values we get: (ED + 10) x 10 = 420. Next, we can solve and get: ED = 32. Finally, we add up ED and DC and get a final answer of D. 42.
Hope this helps!
If a number (n) leaves a remainder of 3,
n-3 must be divisible by each number (8,10,12, and 30).
Their minimum common multiple is 120
the smallest number that works with n-3=240 is 243.
so the answer is 243.
