Answer:
Step-by-step explanation:
Let y = sin(x+y)
Differentiating with respect to x on both sides.
![\frac{dy}{dx} = \frac{d}{dx} \sin(x + y) \\ \\ \frac{dy}{dx} = \cos(x + y)\frac{d}{dx} (x + y) \\ \\ \frac{dy}{dx} = \cos(x + y)(1 + \frac{dy}{dx}) \\ \\ \frac{dy}{dx} = \cos(x + y) +\cos(x + y) \frac{dy}{dx} \\ \\ \frac{dy}{dx} - \cos(x + y) \frac{dy}{dx} = \cos(x + y) \\ \\ \frac{dy}{dx} [1 - \cos(x + y)] = \cos(x + y) \\ \\ \purple {\bold {\frac{dy}{dx} = \frac{ \cos(x + y)}{[1 - \cos(x + y)] }}}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%20%3D%20%20%5Cfrac%7Bd%7D%7Bdx%7D%20%20%5Csin%28x%20%2B%20y%29%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%20%3D%20%20%5Ccos%28x%20%2B%20y%29%5Cfrac%7Bd%7D%7Bdx%7D%20%20%28x%20%2B%20y%29%20%5C%5C%20%20%5C%5C%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%20%3D%20%20%5Ccos%28x%20%2B%20y%29%281%20%2B%20%5Cfrac%7Bdy%7D%7Bdx%7D%29%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%20%3D%20%20%5Ccos%28x%20%2B%20y%29%20%2B%5Ccos%28x%20%2B%20y%29%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%20%20-%20%5Ccos%28x%20%2B%20y%29%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%20%20%5Ccos%28x%20%2B%20y%29%20%5C%5C%20%20%5C%5C%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%20%5B1%20-%20%5Ccos%28x%20%2B%20y%29%5D%20%3D%20%20%5Ccos%28x%20%2B%20y%29%20%5C%5C%20%20%5C%5C%20%5Cpurple%20%7B%5Cbold%20%7B%5Cfrac%7Bdy%7D%7Bdx%7D%20%20%3D%20%20%5Cfrac%7B%20%5Ccos%28x%20%2B%20y%29%7D%7B%5B1%20-%20%5Ccos%28x%20%2B%20y%29%5D%20%7D%7D%7D%20)
Answer:
top is likely, bottom is unlikely
Step-by-step explanation:
sorry, dont really know how to explain (pls mark brainliest :>)
Answer:
The similar triangles are
and 
and 
Step-by-step explanation:
Given
See attachment for the required figure
Solving (a): The similar triangles
The similar triangles are
and 
Solving (b): Why they are similar
Both triangles are similar because
is dilated (i.e. enlarged) and then reflected to give
.
Solving (c): Calculate BE and PE
The following are equivalent ratios

and

Solving for BE, we have:

Substitute the known values

Express as fraction

Multiply both sides by 450


-- approximated
Solving for PE, we have:

Substitute known values

Express as fraction

Multiply both sides by 400



Parallel lines have the same slope.
'a' is the only choice that has the same slope (-5/4)
as the line in the question.
The sum of the angles of a triangle is 180º.
We have three angles:
∠yxz=3x+5
∠xzy=180º-(8x-14)
∠xyz=4x
Therefore:
(3x+5º) + [180º-(8x-14º)]+(4x)=180º
3x-8x+4x=180º-5º-14º-180º
-x=-19º
x=19º
∠yxz=3x+5º =3(19º)+5º=62º
∠xzy=180º-(8x-14)=180º-(8(19º)-14)=42º
∠xyz=4x=4(19º)=76º
Answer: m∠yxz= 62º.