Each of those angles are Inscribed angles. A useful fact is that the measure of the intercepted arc of an inscribed angle is twice the measure of the angle.
The intercepted arc of ∠C is arc BED. The intercepted arc of ∠E is arc BCD.
m(arc BED) + m(arc BCD) = 2( m∠C + m∠E)
The two arcs combined make u p the entire circle, so the sum of their measures is 360.
360 = 2(m∠C + m∠E)
180 = m∠C + m∠E
The angles are supplementary.
Answer:
438.501cm^3
Step-by-step explanation:
Given data
Height of can= 12cm
Radius= 3.5cm
The capacity of the can is expressed as
V= πr^2h
V= 3.14*3.5^2* 12
V= 3.14*12.25*12
V= 461.58cm^3
Hence the capacity is 461.58cm^3
We are also given that the juice amount to 95% of the capacity of the can
95/100*461.58= x
0.95*461.58=x
x=438.501cm^3
This means that the volume of the juice is 438.501cm^3
Answer:
m=3,x=-5 solveing the sysytem of equations
Step-by-step explanation:
Answer:
The correct statement is D)
Step-by-step explanation:
To get this equation into slope-intercept form, you need to isolate the variable y on the left. 2y - 3x = -4 ⇒ 2y = 3x - 4 ⇒ y =
x - 2. The slope would be
which is positive, and the y-intercept is -2, which is negative.
<u>So with more than one pair of parentheses, you must start from the inside and make your way outside.</u>
So firstly, distribute -3 to (2x + 4):
![6+2[-8-6x-12]+10x](https://tex.z-dn.net/?f=6%2B2%5B-8-6x-12%5D%2B10x)
Next, combine like terms:
![6+2[-6x-20]+10x](https://tex.z-dn.net/?f=6%2B2%5B-6x-20%5D%2B10x)
Next, distribute 2 to [-6x - 20]:

Lastly, combine like terms and <u>your final answer will be
</u>