Answer:
![B) \frac{DE }{EA} =\frac{CB}{AC}](https://tex.z-dn.net/?f=B%29%20%5Cfrac%7BDE%20%7D%7BEA%7D%20%3D%5Cfrac%7BCB%7D%7BAC%7D)
Step-by-step explanation:
If ant two given triangles are SIMILAR, then they have equal corresponding angles and their corresponding sides are PROPORTIONAL.
For example: if Δ ABC ≈ Δ PQR, then
∠A = ∠P , ∠B = ∠Q and ∠C = ∠R
and ![\frac{AB}{PQ} = \frac{BC}{QR} = \frac{AC}{PR}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BPQ%7D%20%3D%20%20%5Cfrac%7BBC%7D%7BQR%7D%20%20%3D%20%5Cfrac%7BAC%7D%7BPR%7D)
Now, here given: Δ ADE ≈ Δ ABC
Then by the SIMILAR postulate their corresponding angles are equal and their corresponding sides are Proportional.
............. (1)
Consider from above:
............. (2)
Here, the given options are:
FALSE
TRUE (from 2)
FALSE
FALSE
Answer:
No. If standards differ at different sports stadiums, that makes the game unfair for one team or the other. A win at one stadium could be a loss at another. To make the game fair, all facilities should be equal.
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
she needs 8 cups and 3 quarts is 12 cups
Answer:
A.
Step-by-step explanation:
We have been given a graph and we are asked to write an equation for the ellipse shown in the graph.
Since we know that standard equation for ellipse is in form:
, where our ellipse is centered at (h,k), whose horizontal radius is a and vertical radius is b.
We can see from our diagram that center of our given ellipse is at point(-1,2)
We can see that our ellipse has a vertical radius of 5-2=3 units. The horizontal radius of our ellipse is
units long.
Now let us substitute our given values in standard ellipse equation to find the correct option.
,
![\frac{(x+1)^{2}}{4}+\frac{(y-2)^{2}}{9} =1](https://tex.z-dn.net/?f=%5Cfrac%7B%28x%2B1%29%5E%7B2%7D%7D%7B4%7D%2B%5Cfrac%7B%28y-2%29%5E%7B2%7D%7D%7B9%7D%20%3D1)
Upon looking at our given options we can see that option A is the correct choice.
-132>12(n+9)
Distribute 12 in the parenthesis
-132>12n + 108
Subtract 108 from both sides
-240 > 12n
Divide 12 on both sides
Final Answer: -20> n