Answer:
Correct options,
a) ![\frac{BA}{YX}=\frac{BC}{YZ}=\frac{AC}{XZ}](https://tex.z-dn.net/?f=%5Cfrac%7BBA%7D%7BYX%7D%3D%5Cfrac%7BBC%7D%7BYZ%7D%3D%5Cfrac%7BAC%7D%7BXZ%7D)
c)
and ∠A = ∠X
Step-by-step explanation:
Given : ΔABC ≅ Δ XYZ
We have choose out of given options that correctly prove that ΔABC ≅ Δ XYZ
Two triangles are said to be similar when their corresponding sides are in same ratio and the measure of their corresponding angles are equal.
That is ![\frac{AB}{YX}=\frac{BC}{YZ}=\frac{AC}{XZ}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BYX%7D%3D%5Cfrac%7BBC%7D%7BYZ%7D%3D%5Cfrac%7BAC%7D%7BXZ%7D)
and ∠ A = ∠X , ∠ B = ∠Y AND ∠C = ∠Z
Also ,
We have conditions for two triangle to be similar.
1) SSS : When the ratio of all the three sides of a triangle are equal.
that is ![\frac{AB}{YX}=\frac{BC}{YZ}=\frac{AC}{XZ}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BYX%7D%3D%5Cfrac%7BBC%7D%7BYZ%7D%3D%5Cfrac%7BAC%7D%7BXZ%7D)
2) SAS: When the ratio of two corresponding sides are equal and the measure of angle between those sides are equal
and ∠ A = ∠X
Thus, Out of given options,
a) ![\frac{BA}{YX}=\frac{BC}{YZ}=\frac{AC}{XZ}](https://tex.z-dn.net/?f=%5Cfrac%7BBA%7D%7BYX%7D%3D%5Cfrac%7BBC%7D%7BYZ%7D%3D%5Cfrac%7BAC%7D%7BXZ%7D)
c)
and ∠A = ∠X
1) 65+57= 122
180-122= 58
2) 40+90=130
180-130=50
3) 130+20=150
180-150=30
4) 85+50= 135
180-135=45
Sorry, IDK the rest. So so sorry.
Answer:
Not possible to find out area
Step-by-step explanation:
Given is an exponential function as
and we have to find the area to the left of e above x axis under the curve.
Using integrals, we find area =
![\int\limits^e_{-\infty} e^{-x} \, dx\\=-e^{-x}](https://tex.z-dn.net/?f=%5Cint%5Climits%5Ee_%7B-%5Cinfty%7D%20%20e%5E%7B-x%7D%20%20%5C%2C%20dx%5C%5C%3D-e%5E%7B-x%7D)
substitute limits
When we substitute -infinity we get e^infty which is again infinity
Hence finding out area is not possible.
The integral of area diverges.
The answer is 16. Spinning an even number and flipping tails