You list the multiples of both numbers and see which number they share that is on each table
For example,
3,6,9,(12),15,18,21,(24)
4,8,(12),16,20,(24)
12 is the least common multiple of the numbers 3 and 4
Answer:
![\large\boxed{PS=10\sqrt5}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BPS%3D10%5Csqrt5%7D)
Step-by-step explanation:
ΔPQS, ΔRQP and ΔRPS are similar (AA). Therefore the sides are in proportion:
![\dfrac{QR}{RP}=\dfrac{RP}{RS}](https://tex.z-dn.net/?f=%5Cdfrac%7BQR%7D%7BRP%7D%3D%5Cdfrac%7BRP%7D%7BRS%7D)
We have:
![QR=5,\ RS=20](https://tex.z-dn.net/?f=QR%3D5%2C%5C%20RS%3D20)
Substitute:
<em>cross multiply</em>
![RP^2=(5)(20)\\\\RP^2=100\to RP=\sqrt{100}\\\\RP=10](https://tex.z-dn.net/?f=RP%5E2%3D%285%29%2820%29%5C%5C%5C%5CRP%5E2%3D100%5Cto%20RP%3D%5Csqrt%7B100%7D%5C%5C%5C%5CRP%3D10)
Use the Pythagorean theorem:
![PS^2=PR^2+RS^2](https://tex.z-dn.net/?f=PS%5E2%3DPR%5E2%2BRS%5E2)
Substitute:
![PS^2=10^2+20^2\\\\PS^2=100+400\\\\PS^2=500\to PS=\sqrt{500}\\\\PS=\sqrt{100\cdot5}\\\\PS=\sqrt{100}\cdot\sqrt5\\\\PS=10\sqrt5](https://tex.z-dn.net/?f=PS%5E2%3D10%5E2%2B20%5E2%5C%5C%5C%5CPS%5E2%3D100%2B400%5C%5C%5C%5CPS%5E2%3D500%5Cto%20PS%3D%5Csqrt%7B500%7D%5C%5C%5C%5CPS%3D%5Csqrt%7B100%5Ccdot5%7D%5C%5C%5C%5CPS%3D%5Csqrt%7B100%7D%5Ccdot%5Csqrt5%5C%5C%5C%5CPS%3D10%5Csqrt5)
Answer:
c/d = 6
Step-by-step explanation:
Use the second equation.
c - 6d = 0
Add 6d to both sides.
c = 6d
Divide both sides by d.
c/d = 6
Answer: 37
Explanation: Triangles's angles add up to 180. 180-45-98 is 37
Well single number, meaning from 1 - 9. She has a higher chance of getting an odd number for sure, as there are more odd numbers on the dice :) So, the ratio is 4:5 and fraction: 4/5. %<span>44.444 is your answer :)
Thank you,
Darian D.</span>