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myrzilka [38]
3 years ago
9

Parallelogram ABCD has the angle measures shown. Can you conclude that it is a rhombus, a rectangle, or a square? Explain.

Mathematics
2 answers:
Nikitich [7]3 years ago
7 0
<span>We can analyze the four optons. 1) Option A. A parallelogram with all four angles of the same measure can be either a square or a rectangle, then this option is not valid. 2) Optrion B. gives not information. 3) A rhombus (a diamond) is a parallelogram with four congruent side (square is a specific case of rhmbus but not all rhombus are squares), and it is enouh to say that one diagonal bisects two interior angles, to conclude that it is a rhombus. 4) If a diagonal creates congruent angles, but you do not know what happens with the opposed angle, you cannot conclude that the parallelogram is a rectangle; it could be a trapezoid with one side perpendicular to the parallel sides. By t his analysis, the answer is option C.</span>
Citrus2011 [14]3 years ago
5 0

Answer:


Step-by-step explanation:

Refer the attached figure :

In Δ ABD ,

∠B=∠D = 66°

By property : opposite sides of equal angles are equal

Thus AB=AC

In Δ CBD ,

∠B=∠D = 66°

By property : opposite sides of equal angles are equal

Thus CB=CD  

Thus all four sides of quadrilateral ABCD are equal

And diagonal BD bisects the angles

So, it is a rhombus

Thus Option c is correct .

c. Parallelogram ABCD is a rhombus, because the diagonal bisects two angles.



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Answer:

Health insurance protects you from unexpected, high medical costs. You pay less for covered in-network health care, even before you meet your deductible. You get free preventive care, like vaccines, screenings, and some check-ups, even before you meet your deductible.

Step-by-step explanation:

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3 years ago
In a class of 20 students, 9 are female and 15 have an A in the class. There are 2 students who are male and do not have an A in
Y_Kistochka [10]

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3/5

Step-by-step explanation:

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3 0
3 years ago
A prop for a school play is a sphere that will be hung from the ceiling. The surface area of the sphere is 5 024 cm'. If the sur
denis23 [38]

Answer:

The radius of the sphere, to the nearest cm:

r\approx 20 cm

Step-by-step explanation:

The surface area of a sphere is given by the formula

A = 4πr²

where r is the radius of the sphere.

Given

  • The surface area of sphere A = 5024 cm²

The radius of the sphere can be determined such as

A\:=\:4\pi r^2

r\:=\:\frac{1}{2}\sqrt{\frac{A}{\pi }}

Plug in Surface Area of sphere =  5024, π = 3.14 in the formula

\:r\:=\:\frac{1}{2}\sqrt{\frac{5024}{3.14}}\:\:

r\approx 20 cm

Therefore, the radius of the sphere, to the nearest cm:

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3 0
2 years ago
Use the formula s=32, 512(1.10)^t to calculate your salary after 2 years. Round your answer to the nearest dollar.
Amiraneli [1.4K]

<em><u>Answer:</u></em>

s = $39,340

<em><u>Explanation:</u></em>

Note: I will use the symbol "n" instead of "t" in the solution.

<u>The given formula is:</u>

s = 32,512 * (1.1)ⁿ where "n" is the number of years.

We want to get the salary after 2 years. This means that we will substitute with n = 2 in the above equation and get the value of s.

<u>This is shown as follows:</u>

s = 32,512 * (1.1)²

s = $39,339.52 which is approximately $39,340

Hope this helps :)

8 0
3 years ago
Please help me ASAP
vovikov84 [41]
1018262910101101 explanation:
8 0
2 years ago
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