Answer:
C. ∆LMN ~ ∆OPQ, because of AA
Step-by-step explanation:
All of the triangle congruence postulates require at least one pair of corresponding sides be congruent (in addition to other requirements). Triangle similarity can be proved if there are two pairs of congruent corresponding angles.
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<h3>congruence</h3>
No sides are given as congruent, so no congruences can be proved.
<h3>similarity</h3>
Two pairs of corresponding angles are said to be congruent, so we can say ...
∆LMN ~ ∆OPQ, because of AA
Answer:
AC is four times longer than DF
Step-by-step explanation:
AC is the diameter of the circle E and DE is the radius of the circle E
AC = 2 x DE
DE is the diameter of the circle F and DF is the radius of the circle F
DE = 2 x DF
AC = 2 x DE
AC = 2 x (2 x DF)
AC = 4 x DF
So AC is four times longer than DF
You meant to say x^2 - 49 and the second binomial is x^2 - 16.
x^2 - 49 = (x - 7) (x + 7).
Set each factor to 0 and solve for x individually.
x - 7 = 0
x = 7
x + 7 = 0
x = -7
Do the same for x^2 - 16.
Here is the set up:
x^2 - 16 = (x - 4) (x + 4).
Take it from here.
