(-7,-5)
Step-by-step explanation:
3x-8y = 19
minus
3x + 5y = -46
0x - 13y = 65
- 13y = 65
÷-13
y = - 5
Substitute y = - 5 into one of the functions:
3x-8y = 19
-8 x - 5 = 40
3x + 40 =19
-40
3x. = - 21
÷3
x= - 7
Solution is (-7,-5)
Hope this helps!
so, if you notice the inscribed regular pentagon, it "emits" 5 radii from the center of the circle, making 3 equal angles.
well, a circle has a total of 360°, so each angle must then be 360°/5, or 72°.
if we notice the line on the right-side, the diameter of the circle is 16 units, meaning its radius is 8 units.
so a shaded section is really just the area of a segment of a circle with an angle of 72° and a radius of 8, keeping in mind we have 3 segments there.
![\bf \textit{area of a segment of a circle}\\\\ A=\cfrac{r^2}{2}\left[ \cfrac{\pi \theta }{180}~~-~~sin(\theta ) \right]~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\ ------\\ r=8\\ \theta =72 \end{cases} \\\\\\ A= \cfrac{8^2}{2}\left[ \cfrac{\pi(72) }{180}~~-~~sin(72^o ) \right]\implies A=32\left[ \cfrac{9\pi }{10}~~-~~ \stackrel{\approx}{0.95}\right] \\\\\\ A\approx 9.7785774445044391446\qquad \qquad \stackrel{3~segments}{3A\approx 29.3357323335133174}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Barea%20of%20a%20segment%20of%20a%20circle%7D%5C%5C%5C%5C%0AA%3D%5Ccfrac%7Br%5E2%7D%7B2%7D%5Cleft%5B%20%5Ccfrac%7B%5Cpi%20%5Ctheta%20%7D%7B180%7D~~-~~sin%28%5Ctheta%20%29%20%5Cright%5D~~%0A%5Cbegin%7Bcases%7D%0Ar%3Dradius%5C%5C%0A%5Ctheta%20%3Dangle~in%5C%5C%0A%5Cqquad%20degrees%5C%5C%0A------%5C%5C%0Ar%3D8%5C%5C%0A%5Ctheta%20%3D72%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0AA%3D%20%5Ccfrac%7B8%5E2%7D%7B2%7D%5Cleft%5B%20%5Ccfrac%7B%5Cpi%2872%29%20%20%7D%7B180%7D~~-~~sin%2872%5Eo%20%29%20%5Cright%5D%5Cimplies%20A%3D32%5Cleft%5B%20%5Ccfrac%7B9%5Cpi%20%7D%7B10%7D~~-~~%20%5Cstackrel%7B%5Capprox%7D%7B0.95%7D%5Cright%5D%0A%5C%5C%5C%5C%5C%5C%0AA%5Capprox%209.7785774445044391446%5Cqquad%20%5Cqquad%20%5Cstackrel%7B3~segments%7D%7B3A%5Capprox%2029.3357323335133174%7D)
Answer:
145°
Step-by-step explanation:
< 6 + <2 = 180° {being linear pair }
70° + < 2 = 180°
< 2 = 180° - 70°
< 2 = 110°
Now
< 4 = < 1 + < 2 (exterior angle of a triangle is equal to the sum of two opposite interior angles)
<4 = 35° + 110°
= 145°
Hope it will help :)
Answer:
Ur right! The answer is y = 6
Step-by-step explanation:
So, we have the equation of -2y + 7 = -5.
So, if y = 6, it would now be (-2 * 6) + 7 = -5.
Now, lets solve:
(-2 * 6) + 7
-12 + 7
= -5
So, ur answer is A. y = 6.
Hope this helps :DD
