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:
n=40
Step-by-step explanation:
25/n=5/8
25/5=5
n/5=8
n=40
Answer:
Step-by-step explanation:
y-intercept is -4
Answer:
C) ½
Step-by-step explanation:
P(C and D) = 150/300
= ½
Answer:
See below
Step-by-step explanation:
Intersection of a regular octagon and a line segment can result in:
- Triangle (ABC as example)
- Quadrilateral (ABCD as example)
- Pentagon (ABCDE as example)
- Hexagon (ABCDEF as example)
- Heptagon (ABCDEFG as example)
Refer to attached
