A is confirmed as correct since -13 falls within the domain of g(x), and 20 is included in its range. For g(x), the inequality holds: -20 < -13 < 5 and -5 < 20 < 45. B is incorrect since the number 4 exists within the domain of g(x), but -11 is not within its range, represented by -20 < 4 < 5 and -11 < -5. C is likewise incorrect, as it is stated that g(0) equals -2. D is also false since 7 does not belong to the domain of g(x).
Answer:
m∠ABE = 27°
Step-by-step explanation:
* To analyze the figure to address the query
- AC represents a line
- Ray BF crosses line AC at point B
- Ray BF is perpendicular to line AC
Thus, both ∠ABF and ∠CBF are classified as right angles
Which gives us ∠ABF = ∠CBF = 90°
- Rays BE and BD meet line AC at point B
Since m∠ABE is equal to m∠DBE, as indicated by the same symbol in the figure
It implies that BE acts as the angle bisector of angle ABD
Given that m∠EBF = 117°
Then m∠EBF = m∠ABE + m∠ABF
Where m∠ABF = 90°
So, 117° = m∠ABE + 90°
- By subtracting 90 from both sides
It follows that m∠ABE = 27°
Answer:
86/105
Step-by-step explanation:
May possesses 4/15 meters of lace
Lovie has lace that exceeds May's by 2/7 meters
4/15 + 2/7
= 58/105
Consequently, the total amount of lace they have is calculated as
= 4/15 + 58/105
= 86/105
Thus, together they own 86/105 meters of lace
100 plus 70 equals 170
170 divided by 10 equals 17
That makes 17 trains of 10 cubes
