Answer:
D.
Step-by-step explanation:
Complementary angles are two angles whose measures add to 90°.
A.
m<CFD = 150° - 100° = 50°
m<EFD = 180° - 150° = 30°
Sum = 80°
No
B.
m<AFB = 40°
m<DFE = m<EFD = 30°
Sum = 70°
No
C.
m<AFC = 100°
Sum > 100°
No
D.
m<BFC = 100° - 40° = 60°
m<DFE = 30°
Sum = 90°
Yes
Answer: D.
4 dirhams is equal to 1 dollar so if you were to multiply each by 5 you would have 20 dirhams equaling 5 dollars
Answer: x=1/2
she was wrong, it's supposed to be
Step-by-step explanation: 8(x−3)+7=2x(4−17)
Step 1: Simplify both sides of the equation.
8(x−3)+7=2x(4−17)
(8)(x)+(8)(−3)+7=2x(4−17)(Distribute)
8x+−24+7=−26x
(8x)+(−24+7)=−26x(Combine Like Terms)
8x+−17=−26x
8x−17=−26x
Step 2: Add 26x to both sides.
8x−17+26x=−26x+26x
34x−17=0
Step 3: Add 17 to both sides.
34x−17+17=0+17
34x=17
Step 4: Divide both sides by 34.
34x/34=17/34 x=1/2
9514 1404 393
Answer:
-13/11
Step-by-step explanation:
Straightforward evaluation of the expression at x=1 gives (1 -1)/(1 -1) = 0/0, an indeterminate form. So, L'Hopital's rule applies. The ratio of derivatives is ...
![\displaystyle\lim_{x\to 1}\dfrac{n}{d}=\dfrac{n'}{d'}=\left.\dfrac{\dfrac{4}{3\sqrt[3]{4x-3}}-\dfrac{7}{2\sqrt{7x-6}}}{\dfrac{5}{2\sqrt{5x-4}}-\dfrac{2}{3\sqrt[3]{2x-1}}}\right|_{x=1}=\dfrac{4/3-7/2}{5/2-2/3}=\dfrac{8-21}{15-4}\\\\=\boxed{-\dfrac{13}{11}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bx%5Cto%201%7D%5Cdfrac%7Bn%7D%7Bd%7D%3D%5Cdfrac%7Bn%27%7D%7Bd%27%7D%3D%5Cleft.%5Cdfrac%7B%5Cdfrac%7B4%7D%7B3%5Csqrt%5B3%5D%7B4x-3%7D%7D-%5Cdfrac%7B7%7D%7B2%5Csqrt%7B7x-6%7D%7D%7D%7B%5Cdfrac%7B5%7D%7B2%5Csqrt%7B5x-4%7D%7D-%5Cdfrac%7B2%7D%7B3%5Csqrt%5B3%5D%7B2x-1%7D%7D%7D%5Cright%7C_%7Bx%3D1%7D%3D%5Cdfrac%7B4%2F3-7%2F2%7D%7B5%2F2-2%2F3%7D%3D%5Cdfrac%7B8-21%7D%7B15-4%7D%5C%5C%5C%5C%3D%5Cboxed%7B-%5Cdfrac%7B13%7D%7B11%7D%7D)
Hey there!
The shape being described in letter A is a prism. A prism has two polygonal shapes on either end that can be any shape consisting of three or more sides. This won't be your answer, since cylinders have circular bases on either side.
The shape being described in letter B is a cylinder. Not sure why they needed to throw in the plane part, but this is the only answer that describes the bases as being circular (or, as they put it, discs).
The shape being described in letter C is a pyramid. If a shape has a polygonal base and meets at a point at the other end, it will be a pyramid. Obviously, a pyramid only has one end, meaning that this isn't your answer.
The shape being described in letter D is a cone. Again, if a shape has a base and meets at a point, it will be a pyramid. However, in the case of a cone, the base will be circular and the other side will meet at a point. The entire shape will be rounded where a pyramid would have edges. Again, not your answer.
Your answer will be B. Hope this helped you out! :-)
