Since 10 out of 14 marbles are green, the probability of selecting a green marble is 10/14=0.714.
Similarly, the probability of selecting a red marble would be 4/14.
Answer: 0.714
<u>Let's take this problem step-by-step</u>:
<u>The ;unlabeled angle' adjacent to the 'outside angle of measure 78°'</u>
⇒ is on a straight line
⇒ sum of angle measure = 180 degrees
![unlabeled_.angle+78 = 180\\unlabeled_.angle = 102](https://tex.z-dn.net/?f=unlabeled_.angle%2B78%20%3D%20180%5C%5Cunlabeled_.angle%20%3D%20102)
<u>Now we know:</u>
⇒ sum of all angles in a triangle ⇒ 180°
<u>Let's put that in equation form and solve:</u>
![x + 102 + 57=180\\x + 159=180\\x = 21](https://tex.z-dn.net/?f=x%20%2B%20102%20%2B%2057%3D180%5C%5Cx%20%2B%20159%3D180%5C%5Cx%20%3D%2021)
<u>Answer: 21°</u>
<u></u>
Hope that helps!
#LearnwithBrainly
6.81 times 10^16 is the answer in scientific notation
Answer:
![\boxed{\boxed{\sf x=84}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cboxed%7B%5Csf%20x%3D84%7D%7D)
Step-by-step explanation:
![\sf \cfrac{x}{6} +2=16](https://tex.z-dn.net/?f=%5Csf%20%5Ccfrac%7Bx%7D%7B6%7D%20%2B2%3D16)
<u>Multiply both sides of the equation by 6:</u>
![\sf x+12=96](https://tex.z-dn.net/?f=%5Csf%20x%2B12%3D96)
<u>Subtract 12 from both sides:</u>
![\sf x=96-12](https://tex.z-dn.net/?f=%5Csf%20x%3D96-12)
<u>Subtract 12 from 96:</u>
![\sf x=84](https://tex.z-dn.net/?f=%5Csf%20x%3D84)
<u>_________________________________</u>