Answer:
11).
= 90°
12).
= 212°
Step-by-step explanation:
A circle F with AB and CD are the diameters has been given in the figure attached.
11). Since,
= 180°
and ![m(\widehat{AB})=m(\widehat{AD})+m(\widehat{DE})+m(\widehat{BE})](https://tex.z-dn.net/?f=m%28%5Cwidehat%7BAB%7D%29%3Dm%28%5Cwidehat%7BAD%7D%29%2Bm%28%5Cwidehat%7BDE%7D%29%2Bm%28%5Cwidehat%7BBE%7D%29)
Therefore,
= 180°
32° +
+ 58° = 180°
= 180° - 90°
= 90°
12. Since,
= 32°
= ![m(\widehat{AB})+m(\widehat{BC})](https://tex.z-dn.net/?f=m%28%5Cwidehat%7BAB%7D%29%2Bm%28%5Cwidehat%7BBC%7D%29)
= 180° + 32°
= 212°
Answer:
x=6, y=2
Step-by-step explanation:
Points
on the circle satisfy
.
Points inside the circle satisfy
.
Points outside the circle satisfy
.
We have
![2^2+8^2=4+64=68](https://tex.z-dn.net/?f=2%5E2%2B8%5E2%3D4%2B64%3D68%3C100)
so the point (2, 8) lies inside the circle.
$46 divided by 5 which equals $9.50
Rent during the 8th year is $3072
Step-by-step explanation:
- Step 1: Rent of the apartment = $1600 Given, the rent will go up by 11.5%
⇒ 11.5% of the rent = 11.5/100 × 1600 = $184
- Step 2: Calculate the rise in rent for 8 years
⇒ 184 × 8 = $1472
- Step 3: Calculate the rent during the 8th year
⇒ 1600 + 1472 = $3072