Answer:
1) Congruent
2) Supplementary
3) Congruent
4) Congruent
Step-by-step explanation:
1) The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent .
2) Formally, we can say that if two lines are parallel, then consecutive interior angles are supplementary. We refer to this as the consecutive interior angles postulate.
3) When the lines are parallel, the corresponding angles are congruent . When two lines are cut by a transversal, the pairs of angles on one side of the transversal and inside the two lines are called the consecutive interior angles.
4) The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate exterior angles are congruent.
We have 7 people which result ----> 7 * <u />2 = <u>14 legs</u>
Also, the table has <u>4 legs</u>
The number of the big cats is 7 *7 =49 (big cats)
For every big cat we have ---> 49 * 4= <u>196 legs</u>
For every big cat we have 7 small cats which means --> 49 * 7= 343 (small kittens)
The number of legs for small kittens is 343 * 4 = <u>1372 legs</u>
The number of legs is:
<u />
<u>14+4+196+1372= 1586 legs are in total</u>
Answer:
-cos^4(x)
Step-by-step explanation:
Step 1: Use the Pythagorean identity : 1=cos^2(x) + sin^2(x)
1-sin^2(x) = cos^2(x)
-1+sin^2(x) = -cos^2(x)
cos^2(x) (-cos^2(x))
Step 2: Factor out common terms cos^2(x)
cos^2(x) (sin^2(x)-1)
Ans: -cos^4(x)
Answer:
The domain is 
Step-by-step explanation:
Given functions 
and 
Subtract these two functions:
Plot these difference on the coordinate plane (see attached diagram). This function is defined for all vlues of x, so the domain is
