Answer:
<ABC = 15
< BAC = 150
Step-by-step explanation:
<C = <B since this is an isosceles triangle. We know this because AC = AB
<C = 15 so <ABC = 15
The sum of the angles of a triangle is 180
A + B+ C = 180
A + 15+15 = 180
A +30 =180
A = 180-30
A = 150
< BAC = 150
Answer:
- C The range is the set of all real numbers greater than 0.
Step-by-step explanation:
We see that the function has positive range and no restriction of domain.
A The range is the set of all real numbers less than 0.
- Incorrect, positive values only
B The domain is the set of all real numbers greater than-4.
- Incorrect, the domain can get any value
C The range is the set of all real numbers greater than 0.
- Correct, the range is restricted to positive values
D The domain is the set of all real numbers less than-4.
- Incorrect, no restrictions
Add 121/4 to each side:
x²+11x+121/4 < 121/4-8
x²+11x+121/4 < 89/4
(x+11/2)² < √89/2 ⇒ -√89/2 < x+11/2 < √89/2
-11/2-√89/2 < x < -11/2+√89/2
Answer:
(a) ∠HIK and ∠GFD
Step-by-step explanation:
In this geometry, there are only two pairs of alternate exterior angles:
∠HIK and ∠GFD
∠JIK and ∠EFD
Of these, only the first pair is among the answer choices.
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Alternate exterior angles are ones that are outside the parallel lines, and on opposite sides of the transversal.
Answer:
Vertical angles are congruent.
Step-by-step explanation:
Vertical angles are opposite angles formed by intersecting lines, and are always congruent.