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Ksju [112]
3 years ago
15

Why is a parallelogram not the same type of quadrilateral as trapezoid

Mathematics
1 answer:
Alisiya [41]3 years ago
7 0
A quadrilateral trapezoid means that there are four sides to the trapezoid. But two of those sides (which are across from each other if you were to draw it out) are not parallel, meaning that if you were to continue the lines they start from, they would eventually cross. A parallelogram means that all opposite sides are parallel. Hope this helps you!! :)
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ABCD is a rectangle. The length of BD is 8 units, and m angle ABD is 67°. The length of AC is units, and m angle CDB is °.
Marina86 [1]
See the attached picture to better understand the problem
we know that
in rectangle ABCD 
AB=CD
and 
AD=BC
therefore
the triangle ACD and triangle ABC are congruent
so
BD=AC
BD=8 units

the answer part a) is
BD= 8 units

Part b) Find angle CBD

we know that
∠ABD+∠CBD=90°---------> by complementary angles
so
∠CBD=90-∠ABD-----> 90-67----> 23°
∠CBD=23°

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5 0
3 years ago
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tankabanditka [31]
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5 0
3 years ago
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Which phrases can be used to represent the inequality 6.5 x + 1.5 less-than-or-equal-to 21? Select two options. The product of 6
Montano1993 [528]

Answer:

The option with “at most” and “no more than”

Step-by-step explanation:

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5 0
3 years ago
An equilateral triangle has a perimeter of 48 cm. What is the area?
KiRa [710]

Answer:

A=64\sqrt{3}\ cm^2

Step-by-step explanation:

we know that

An <u><em>equilateral triangle</em></u> has three equal sides and three equal interior angles (each interior angle measure 60 degrees)

so

The perimeter is equal to

P=3b

where

b is the length side of the equilateral triangle

we have

P=48\ cm

substitute

48=3b

solve for b

b=48/3\\b=16\ cm

Find the area

The formula of area applying the law of sines is equal to

A=\frac{1}{2}b^2sin(60^o)

substitute the value of b

A=\frac{1}{2}(16)^2sin(60^o)

sin(60^o)=\frac{\sqrt{3}}{2}

A=\frac{1}{2}(16)^2(\frac{\sqrt{3}}{2})

A=64\sqrt{3}\ cm^2

6 0
3 years ago
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