Answer:
D-70.81
Step-by-step explanation:
I did the math, this should be correct.
Good luck!
Problem 1
<h3>Answer: B. M<3 would need to double.</h3>
Explanation: This is because angles 3 and 6 are congruent corresponding angles. Corresponding angles are congruent whenever we have parallel lines like this. If they weren't congruent, then the lines wouldn't be parallel. We would need to double angle 3 to keep up with angle 6.
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Problem 2
<h3>Answer: D. none of these sides are parallel</h3>
Explanation: We have angles A and C that are same side interior angles, but they add to A+C = 72+72 = 144, which is not 180. The same side interior angles must add to 180 degrees for parallel lines to form. This shows AB is not parallel to CD.
A similar situation happens with angles B and D, since B+D = 108+108 = 216. This also shows AB is not parallel to CD. We can rule out choices A and C.
Choice B is false because AD is a diagonal along with BC. The diagonals of any quadrilateral are never parallel as they intersect inside the quadrilateral. Parallel lines never intersect.
The only thing left is choice D. We would say that AC || BD, since A+B = 72+108 = 180 and C+D = 72+108 = 180, but this isn't listed as an answer choice.
Answer: The dividend yield on Stock A = 0.04
Step-by-step explanation:
Given: quarterly dividend = $0.15 per share
Annual dividend per share = 4 x 0.15 = $0.6 [1 year = 4 quarters]
Stock's price per share = $0.15
The computation of dividend is given by :-
Dividend yield = (annual dividend per share) divided by (the stock's price per share).
Here, Dividend yield = (0.6) ÷ 15 = 0.04
Hence, the dividend yield on Stock A = 0.04
Answer:
m∠ACE = 40°
Step-by-step explanation:
Consider the below figure attached with this question.
Given information: arc BD = 25°, minor arc AB = 115°, and minor arc DE = 115°.
We need to find the measure of ∠ACE.
minor arc AB + minor arc BD + minor arc DE + minor arc AE = 360°
115° + 25° + 115° + minor arc AE = 360°
255° + minor arc AE = 360°
minor arc AE = 360° - 255°
minor arc AE = 105°
The measure of minor arc AE is 105°.
Using Intersecting secants outside the circle theorem
Angle between two secants = 
(Major arc - Minor arc)
![\angle ACE=\frac{1}{2}[Arc(AE)-Arc(BD)]](https://tex.z-dn.net/?f=%5Cangle%20ACE%3D%5Cfrac%7B1%7D%7B2%7D%5BArc%28AE%29-Arc%28BD%29%5D)
![\angle ACE=\frac{1}{2}[105-25]](https://tex.z-dn.net/?f=%5Cangle%20ACE%3D%5Cfrac%7B1%7D%7B2%7D%5B105-25%5D)
![\angle ACE=\frac{1}{2}[80]](https://tex.z-dn.net/?f=%5Cangle%20ACE%3D%5Cfrac%7B1%7D%7B2%7D%5B80%5D)
Therefore, the measure of ∠ACE is 40°.
Z = y + 10
I’m not sure if this is the equation you are looking for, but saying that “Z” is equal to “y + 10” is like saying that “Z” is greater than “y” by ten.
I hope this helped! ☻
