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3 years ago

Find the value of xx, yy, and zz in the parallelogram below.

Mathematics

2 answers:

Mnenie [13.5K]3 years ago

4 0

Answer: x = 36, y = 10, and z = -25

Step-by-step explanation:

99 and -3z +6 are same side interior angles, so they sum to 180 degrees.

99 -3z + 6 = 180

-3z = 75

z = -25

Opposite angles of a parallelogram are congruent

2x + 9 = -3x + 6

2x + 9 = 75 + 6

2x = 81 - 9

2x = 72

x = 36

9y + 9 = 99

9y = 90

y = 10

Monica [59]3 years ago

4 0

According to definition of parallelogram

opposite sides and angles are equal

Consecutive sides have sum 180°

$\\ \rm\hookrightarrow 2x+9+99=180$

$\\ \rm\hookrightarrow 2x+108=180$

$\\ \rm\hookrightarrow 2x=72$

$\\ \rm\hookrightarrow x=36$

2x+9=72+9=81

And

-3z+6=81
-3z=75
z=-25

And

9y+9=99
9y=90
y=10

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3 years ago

Can 12,18,30 be a right triangle

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Answer:

Step-by-step explanation:

A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple. The simplest Pythagorean triple is the set “3, 4, 5.” These numbers are the lengths of the sides of a “3-4-5” Pythagorean right triangle. The list below contains all of the Pythagorean triples in which no number is greater than 50.

3, 4, 5

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Example Problems

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13 25 x7

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From the list above, the missing From the list above, the missing side is “5” side is “24”

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3 years ago

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A stock trading company charges a commission of $10 per trade plus $0.025 per dollar value of stock traded. If your commission i

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Answer:

Value of the stock traded was $5200.

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Let the value of stock traded was $x.

Then commission on value of the stock = x×.025

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3 years ago

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The equation of the straight line has its slope and given point.

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2 years ago

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$H^2=B^2+P^2\\\\20^2=x^2+(x+4)^2\\\\400=x^2+x^2+8x+16\\\\400=2x^2+8x+16\\\\400=2(x^2+4x+8)\\\\200=x^2+4x+8\\\\x^2+4x-192=0\\\\x^2+16x-12x-192=0\\\\x(x+16)-12(x+16)=0\\\\(x+16)(x-12)=0\\\\x=-16\ and\ 12$

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3 years ago