Take 9x23= 207
Then 5x18= 90
Now simplify
207divided by 3=69
90 divided by 3= 30
Now I’m gonna divide by 3 again
69/3=23
30/3=10
23/10 would be your answer
<span>Absolute value of -45 = 45
hope it helps</span>
same as you saw before, and again, we'll change the mixed ones to improper firstly.
![\bf \stackrel{mixed}{4\frac{1}{2}}\implies \cfrac{4\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{9}{2}}~\hfill \stackrel{mixed}{22\frac{2}{5}}\implies \cfrac{22\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{112}{5}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{model}{actual}\qquad \qquad \cfrac{~~\frac{9}{2}~~}{\frac{112}{5}}\implies \cfrac{9}{2}\cdot \cfrac{5}{112}\implies \cfrac{45}{224}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B4%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B4%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B9%7D%7B2%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B22%5Cfrac%7B2%7D%7B5%7D%7D%5Cimplies%20%5Ccfrac%7B22%5Ccdot%205%2B2%7D%7B5%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B112%7D%7B5%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Ccfrac%7Bmodel%7D%7Bactual%7D%5Cqquad%20%5Cqquad%20%5Ccfrac%7B~~%5Cfrac%7B9%7D%7B2%7D~~%7D%7B%5Cfrac%7B112%7D%7B5%7D%7D%5Cimplies%20%5Ccfrac%7B9%7D%7B2%7D%5Ccdot%20%5Ccfrac%7B5%7D%7B112%7D%5Cimplies%20%5Ccfrac%7B45%7D%7B224%7D)
Answer:
∠ CDE = 54°
Step-by-step explanation:
The measure of the tangent- tangent angle CDE is half the difference of the intercepted arcs.
∠ CDE =
(EBC - CE )
arc EBC = 360° - 126° = 234° , then
∠ CDE =
(234 - 126)° =
× 108° = 54°