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blagie [28]
2 years ago
6

What is the measure of angle x? . Enter your answer in the box X=​

Mathematics
1 answer:
marshall27 [118]2 years ago
6 0

Answer:

83 degrees

Step-by-step explanation:

The angles 56 and 41 plus the one in between should add up to 180 degrees. So you do 180 - 56 - 41 = 83.

83 and x are vertical angles so they are the same measure.

<x = 83 degrees

hope this helps! :)

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In parallelogram ABCD, AB = 16 cm, DA = 3<img src="https://tex.z-dn.net/?f=%5Csqrt%7B2%7D" id="TexFormula1" title="\sqrt{2}" alt
Murljashka [212]

Answer:

length of segment YZ is 8 cm

Step-by-step explanation:

given data

AB = 16 cm

DA = 3\sqrt{2} cm

AB and DA form interior angle  =  45-degre

WX ≠ YZ

WX = 16 cm

to find out

length of segment YZ

solution

area of △ABD is  the same as the area of △BCD

and

area of △ABD is express as

area of △ABD = AB × AD × sin(45) ÷ 2    ............1

put here value

area of △ABD = 16 × 3√2 × sin(45) ÷ 2

area of △ABD = 24

and

area of the parallelogram is

area of the parallelogram = 24 × 2

area of the parallelogram = 48

so

now we will consider here YZ = x

and Since ZY XW is isosceles trapezoid

so here we can say that

WM = ZM = (16 - x)  ÷ 2   .......................2

so area of  trapezoid will be

area of  trapezoid = \frac{ZY + WX }{2}  \times ZM         .......................3

area of  trapezoid = \frac{x+16}{2} \times \frac{16 - x}{2}    

48 = \frac{x+16}{2} \times \frac{16 - x}{2}  

solve it we get

x = 8

so length of segment YZ is 8 cm

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2 years ago
What is an equation of a line, in point-slope form, that passes through (1, −7) and has a slope of −2/3?
Yuki888 [10]
Y + 7 = -2/3(x-1)
...............
7 0
3 years ago
Read 2 more answers
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