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:
Except 4 out of 6
the answer is the third one
Answer:
A) d = 48t, d in miles, t in hours
B)d = 32t, d in miles, t in hours
C)y = 8 mph
Step-by-step explanation:
16 miles in 20 mins = 48 mph
16 miles in 30 mins = 32 mph
The boat speed is the average = (48 + 32)/2 = 40 mph
The current is the difference = 8 mph
Answer:
(b) (x, y) ⇒ (-x, y); (x, y) ⇒ (x + 1, y + 1)
Step-by-step explanation:
A graph shows the image is consistent with reflection over the y-axis
(x, y) ⇒ (-x, y)
and translation right 1, up 1
(x, y) ⇒ (x +1, y +1)
These transformations are listed in the second choice.
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In the attachment, the original image is blue, the reflected image is purple, and the final translated image is red.
If you’re looking for x it would be -4/3
