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ser-zykov [4K]
4 years ago
10

ABCD is a parallelogram and line CD = line DA. determine whether the parallelogram is a rhombus. if so by which property?

Mathematics
2 answers:
Iteru [2.4K]4 years ago
8 0
<h2>Answer:</h2>

Option: B is the correct answer.

    B.  Rhombus; congruent adjacent sides property.

<h2>Step-by-step explanation:</h2>
  • We know that a parallelogram is a quadrilateral which has two pair of parallel sides.
  • Also, a parallelogram will be called a rhombus if all the sides are of same length.
  • That is we may say that a Rhombus is a parallelogram but a parallelogram need not be a rhombus.

We are given that:

ABCD is a parallelogram ( this means AB||CD and BC||DA ) and line CD = line DA.

Hence,  the parallelogram is a rhombus by:

            Congruent adjacent sides property.

tekilochka [14]4 years ago
7 0
Since it tells you it's a parallelogram you know that opposite sides are parallel.
The other piece of information we are given is a pair of consecutive congruent sides. If these sides are congruent the other sides must also be congruent.
Letter B is the answer
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given the diagram below, explain how you would determine the opposite, adjacent, and hypotenuse side from the given 35° angle. (
taurus [48]

Answer:

opposite=8.402402490459  ,adjacent is already given=12, hypotenuse=14.64929507

Step-by-step explanation:

to do this you will have to use the law of sines. the first thing you need to do is solve for the unknown angle by subtracting 90+35 from 180. so you get the equation 180-(90+35)=55. now that you know all your angles, you can use the law of sines to solve for the unknown sides. the law of sines state that a/sin(A)=b/sin(B). if you substitute the values of 12 and 55 into the equation, since you know those sides, you can then find a ration that you can use to find the other sides, 12/sin(55)=b/sin(B), which is equal to, 14.649... Next you pick whichever side you want to solve for next, and plug in its opposite angle (i would solve for the other leg, because then you can use pythagorean theorem to solve for the hypotenuse, so i will demonstrate that way) plug in the angle 35, since it is opposite the leg and then finish for the variable, 14.649...=b/sin(35). once you have the sin, you can multiply it by the 14.649 to get your side, 14.649...*.5736...=8.402...=b. now you have your two legs, so you can use a^2+b^2=c^2 to solve for the hypotenuse. once you plug in your values it should look like this, 12^2+8.402...^2=c^2. which simplifies down to 214.602...=c^2. so you take the square root of both sides to find c, which equals 14.649. you can check that by seeing if 14.649 is bigger then the other two sides, which it is. This number should look familiar because it was the ratio we got when we divided 12 by the sin(55). the reason that happened is because the sin(90) is 1, the 14.649*1=14.649.

If you have any questions, leave them in the comments and will try to answer them, if this helped, pls give brainliest.

5 0
3 years ago
Can someone help please
Montano1993 [528]

Answer:

13.2

Step-by-step explanation:

11/5=x/6

66/5=×

13.2

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