Answer:
Option 4.∠ERT and ∠MRC
Step-by-step explanation:
Definition of vertical angles : The angles opposite each other when two lines cross. They are always equal.Vertical" refers to the vertex (where they cross).They are also called vertically opposite angles.
Option 1. ∠KRC and ∠CRH
Refer the figure .
These angles does not satisfy the definition of vertical angles . since these angles are not opposite.
Option 2. ∠KRE and ∠ERT
These angles does not satisfy the definition of vertical angles . since these angles are not opposite.
Option 3. ∠MRC and ∠KRM
These angles does not satisfy the definition of vertical angles . since these angles are not opposite.
Option 4.∠ERT and ∠MRC
MT and EC are the two lines that cross each other at vertex R ,
Thus ∠ERT and ∠MRC are opposite to each other .
Hence ∠ERT and ∠MRC are pair of vertcal angles .
Answer:
a)
, b)
,
, c)
, d) 
Step-by-step explanation:
a) Let derive the function:

is undefined when denominator equates to zero. The critical point is:

b)
when numerator equates to zero. That is:




This equation shows two critical points:
, 
c) The critical points found in point b) and the existence of a discontinuity in point a) lead to the conclusion of the existence local minima and maxima. By plotting the function, it is evident that
corresponds to a local maximum. (See Attachment)
d) By plotting the function, it is evident that
corresponds to a local minimum. (See Attachment)
A) 70 pools in total
B) 5:2
-4 and -5
because to get 16 to 12 you have to subtract 4 but it wants you to add so you put a negative sign infront of it.
and a negative multiply by a negative equals a positive so -3×-5=15
Solve each system using a matrix
7x+2y=5
13x+14y=-1Solve each system using a matrix
7x+2y=5
13x+14y=-1