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Answer:
Step-by-step explanation:
When a tangent line is drawn from Q to Z and then from Q to R, what happens that is the length of QZ and QR are the same. So if QZ = 10, the QR = 10. The same occurs at every point outside the circle where a tangent line is drawn from that point to the circle. We are told that YX is 9. That means that YZ is also 9. If XW is 9, then WV is also 9. Here's where the tricky part is. We are given the whole side length of UW as 17, but we need to know each individual part so we can eventually find the length of RS. So we'll keep going the way we were. If XW = 9, the WV = 9. That means that UV is 17 - 9 or 8. So UV = 8. That means that TU is also 8. THAT means that ST is 10 - 8 or 2. And if ST is 2, then RS is also 2. Let's add it all together now:
QZ + ZY + YX + XW + WV + VU + UT + TS + SR + RQ
10 + 9 + 9 + 9 + 9 + 8 + 8 + 2 + 2 + 10 = 76
6x=18
1/5x=25
8+x=22
2/3x =12
4x+4=2x. 2x=-4
x+1/4x=150. Or 5/4x =150
3x-45=30
1/2x-14=x+2
Answer:
<em>about 9765 mosquitoes</em>
<em />
Step-by-step explanation:
This is an exponential growth problem which follows the formula:
![A=P(1+r)^t](https://tex.z-dn.net/?f=A%3DP%281%2Br%29%5Et)
Where A is the future amount (we need this after 4 months)
P is the initial amount (here, it is 4000)
r is the rate of increase (here it is 25% or 0.25)
t is the time period (here t= 4, because we want to know after 4 months)
<em>plugging in all the available/given info, we can solve for A:</em>
<em>
</em>
<em />
<em>Since, no fractional mosquitoes, we round down to </em><em>9765 mosquitoes</em>
Answer:
The area can be found by multiplying the two terms, and the perimeter by doubling and adding them.
Using this, we find that the area of the rectangle is 60x³, and the perimeter is 10x² + 24x.
Step-by-step explanation:
First let's find the area:
5x² × 12x
= 60x³
Now the perimeter:
2(5x² + 12x)
= 10x² + 24x