I think the answer c as I have estimated and this one seems like it’ll make the most sense
Answer: x=5 y=6
Step-by-step explanation: 6y=3× +21
6y-6=2× +20
Opposite sides of the rectangle are equal
Substitute 3x +21 into 6y in the second equation.
Option C:
The measure of arc CD is 40°.
Solution:
Given data:
m∠X = 11° and m(arc AB) = 18°
To find the measure of arc CD:
We know that,
<em>Angle formed by two intersecting secants outside the circle is equal to half of the difference between the intercepted arcs.</em>
![$m \angle X =\frac{1}{2}({arc \ CD}-{arc} \ AB)](https://tex.z-dn.net/?f=%24m%20%5Cangle%20X%20%3D%5Cfrac%7B1%7D%7B2%7D%28%7Barc%20%20%5C%20CD%7D-%7Barc%7D%20%20%5C%20AB%29)
![$ 11^\circ =\frac{1}{2}({arc} \ CD-{18^\circ})](https://tex.z-dn.net/?f=%24%2011%5E%5Ccirc%20%3D%5Cfrac%7B1%7D%7B2%7D%28%7Barc%7D%20%20%5C%20CD-%7B18%5E%5Ccirc%7D%29)
Multiply by 2 on both sides.
22° = arc CD - 18°
Add 18° from both sides.
40° = arc CD
Switch the sides.
arc CD = 40°
Hence the measure of arc CD is 40°.
Option B is the correct answer.
Answer:
Approximately 117.81 ft²
Step-by-step explanation:
Find the area of the whole circle
A=πr²
A=π(15)²
A=706.86 ft²
Now you need to find the area of the garden covered in roses, so take the total degrees in a circle (360) and divide it by the degrees of the roses (60).
360/60=6
Take the area of the whole circle (706.86 ft²) and divide it by the number you just got (6). The number you get will be the area of the rose section.
706.86/6= 117.81 ft²