Answer:
m∠ABE = 27°
Step-by-step explanation:
* Lets look to the figure to solve the problem
- AC is a line
- Ray BF intersects the line AC at B
- Ray BF ⊥ line AC
∴ ∠ABF and ∠CBF are right angles
∴ m∠ABF = m∠CBF = 90°
- Rays BE and BD intersect the line AC at B
∵ m∠ABE = m∠DBE ⇒ have same symbol on the figure
∴ BE is the bisector of angle ABD
∵ m∠EBF = 117°
∵ m∠EBF = m∠ABE + m∠ABF
∵ m∠ABF = 90°
∴ 117° = m∠ABE + 90°
- Subtract 90 from both sides
∴ m∠ABE = 27°
Answer:
The answer would be 17 cm
Step-by-step explanation:
If the distance between their feet is 12 cm, then the distance between their heads would also be 17 cm, because of their five cm height difference. [ You add that on to their normal distance]. I hope this helped! If I'm wrong, I'm sorry and please let me know... Have a great day!!
Answer:
11
Fifth term
Step-by-step explanation:
The third term is:
20 − (3)² = 11
If the term is negative:
20 − n² < 0
n² > 20
n > √20
n > 4.47
The first term to have a negative value is the fifth term.
5y - 20 < 0...add 20 to both sides
5y < 20...divide both sides by 5
y < 20/5
y < 4 (this states that y is less then 4)
Therefore, the greatest integer that y could be is 3 (because integers cannot be fractions, they have to be whole numbers)
