Answer: 120
Step-by-step explanation:
Since Angle formed at the center is equal to the angle measure of its opposite arc
⇒ ∠AOD = 104°
Also, The angle formed in the segment is half the angle formed at the center of the circle
⇒ ∠DOB = 2 × ∠BAD
⇒ ∠DOB = 2 × 68°
⇒ ∠DOB = 136°
Now, ∠AOB = 360 - ∠BOD + ∠AOD
⇒ ∠AOB = 360 - 136 - 104
⇒ ∠AOB = 120°
Now, Angle formed at the center is equal to the angle measure of its opposite arc
⇒ b = ∠AOB
⇒ b = 101°
Hence, the correct option is 120°
C is the answer, looking at point N, after it is reflected across the y 1, you will see the point ends up at (4,1)
The correct answer is letter B
Answer:
36 ft
Step-by-step explanation:
Daniela facing a 12 ft tall statue that is 15 ft away. She can see the reflection of the top of the statue in a puddle on the ground 5 ft in front of her. How tall is Daniela?
Hence, this is calculated as:
5ft/15ft = 12 ft/Daniela's height
Cross Multiply
5ft × Daniela's height = 15ft × 12ft
Daniela's height = 15ft × 12 ft/5ft
= 36ft
Therefore, Daniela's height = 36 ft
Answer:
26 + y
----------
9y
Step-by-step explanation:
Your using parentheses here would remove a great deal of ambiguity. Looking at your 8-y/3y + y+2/9y - 2/6y, I have interpreted it to mean:
(8-y)/3y + (y+2)/9y - (2/6)y. For example, without parentheses, your 8-y/3y might be interpreted differently, as 8 - y/(3y), or 8 - 1/3.
Looking at (8-y)/3y + (y+2)/9y - (2/6)y again, we see three different denominators: 3y, 9y and 6 y. The LCD here is 9y. Multiplying all three terms of (8-y)/3y + (y+2)/9y - (2/6)y by the LCD, we get:
3(8-y) + (y+2) + 3y. We must now divide this by the LCD:
3(8-y) + (y+2) + 3y
--------------------------
9y
Next we need to perform the indicated multiplication:
24 - 3y + y + 2 + 3y
----------------------------
9y
and then to combine like terms:
24 + 2 - 3y + y + 3y, 26 + y
---------------------------- or -----------
9y 9y
