Answer:
x=12
Step-by-step explanation:
What we have here is a secant and tangent. Using this theorem,
Given the segments of a secant segment and a tangent segment which share an endpoint outside of a circle,
The product lengths of the secant segment and external secant segment equals the length of the tangent segment squared.
In other words,
Answer:
Brandon has <u>18 Dimes and 33 Quarters</u> [Beware: The problem does not state that Brandon owns the coins - he just has them. Check your pockets]
Step-by-step explanation:
Let D and Q stand for the numbers of Dimes(D) and Quarters(Q). <u>I'll use pennies instead of dollars, so avoid the clutter of decimal points</u>.
We are told that:
Q = 2D - 3 [The number of quarters is 3 less than twice the number of dimes.]
and
25Q + 10D = 1005 [total value of $10.05]
Substitute the value of Q in the first equation in the second, so that we have an equation with just one unknown, D.
25(2D-3) + 10D = 1005
50D - 75 + 10D = 1005
60D = 1080
<u>D = 18</u>
<u></u>
Q = 2D - 3
Q = 2(18) - 3
<u>Q = 33</u>
=============================
Check
25Q + 10D = 1005
25(33) + 10(18) = 1005 ?
825 + 180 = 1005 <u>YES</u>
----
Q = 2D - 3 ?
33 = 2(18) - 3 <u>YES</u>
Hi
6x+12<8+8x
12-8<8x-6x
4<2x
4/2<2x/2
2<x
x>2
Answer: x>2
Pi divided by five is roughly .63. I say "roughly" because pi is infinitely long so it's impossible to get an exact answer, but a common pi length would be
<span>3.14159. </span>
