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3 years ago

Prove that an isosceles trapezium is always cyclic

Mathematics

2 answers:

nydimaria [60]3 years ago

6 0

I don't have time but to prove that an isosceles trapezium is always cyclic, you have to prove that if you add the opposite angles, you will get 180 degrees.

Hope this helps !

Photon

Julli [10]3 years ago

3 0

Since the opposite angles are supplementary, an isosceles trapezium is a cyclic quadrilateral. Thus, ABCD is a rectangle as each internal angle is 90°. 8. If the non-parallel sides of a trapezium are equal, prove that it is cyclic.

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If the areas of the given pairs of shapes are equal, find the value of x.

den301095 [7]

Answer:

$x = 8cm$

Step-by-step explanation:

we are given a square and rectangle.we want to figure out x which is the width of the rectangle. we are also given a condition i.e

the area of the square equal to the area of the rectangle

therefore,

$\displaystyle \rm A _{square } = A _{rect}$

recall the formula of the area of square and rectangle so,

$\displaystyle {s}^{2} = lw$

now assign variables

$s \implies16cm$
$l \implies32cm$
$w \implies x$

thus substitute:

$\displaystyle 32cmx = {16cm}^{2}$

simplify square:

$\displaystyle 32cmx = 256cm^2$

divide both sides by 32:

$\displaystyle \boxed{x = 8cm}$

and we're done!

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3 years ago

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Trina's Toy Company charges $0.85 per pound to ship toys.

S_A_V [24]

C= .85p Shipping 2 lbs is $1.80 C=.80p

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4 years ago

Which of the following measurements, in centimeters (cm), could be the lengths of the sides of a triangle? Select all that apply

AlekseyPX

Answer:

All of them

Step-by-step explanation:

triangles are different sizes

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3 years ago

Explain how to use friendly percents to find 35% of 80.

irakobra [83]

In order to find 150% of something, you would add half of the value to itself. so for example, 150% of 9 would be 13.5 because 4.5 is half of 9 and 4.5 • 9 is 13.5. hope this helps!!

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3 years ago

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Solve for z: 2 + 8 - z = -24 Show your work

Gala2k [10]

2+8-z=-24
^
10-z=-24
-10 -10
——————-
-z=14
———
-z -z

Z=14

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3 years ago