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aliina [53]
3 years ago
13

Give the convex pentagon, what are the values for x and y?

Mathematics
1 answer:
Dima020 [189]3 years ago
4 0
Now.. if you check the picture below

notice that, "x" and "y" are just "supplementary" angles

so.. what the dickens is "x" anyway?

well, "x" is an internal angle to the pentagon

and \bf \textit{sum of all interior angles in a polygon}\\\\
180(n-2)\qquad 
n=\textit{number of sides}

so.. this polygon is a pentagon, or PENTA=5, 5 sides
so all internal angles add up to 180(5-2) or 180*3 = 540

now, check the angle on the bottom-left-corner, is a right-angle

so... you already have 4 angles given inside

so   x + 80 + 160 + 100 + 90 = 540

solve for "x"

what about "y"?   well, y = 180 - x

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VashaNatasha [74]

Answer:

she would take 140 minutes to run 15 miles

Step-by-step explanation:

28 X 5 os equal to 140

7 0
2 years ago
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If ON= 5x - 7, LM = 4x+ 4, NM = x -7, and OL =3y-4, find the values of c and y for which LMNO MUST BE a parallelogram.
Sholpan [36]

Answer:

x=11, y=8/3

Step-by-step explanation:

Consider quadrilateral LMNO. If this quadrilateral MUST BE a parallelogram, then

LM=NO

and

LO=MN

Thus,

\left\{\begin{array}{l}4x+4=5x-7\\ \\x-7=3y-4\end{array}\right.

Solve this system of two equations. From the first equation:

4x-5x=-7-4\\ \\-x=-11\\ \\x=11

Substitute it into the second equation:

11-7=3y-4\\ \\3y-4=4\\ \\3y=4+4\\ \\3y=8\\ \\y=\dfrac{8}{3}

4 0
3 years ago
SOMEBODY PLEASE HELP BEEN STUCK FOREVER
Inga [223]

Answer:

Idk I would say 30

Step-by-step explanation:

8 0
3 years ago
F(x)=(x - 4)^2-1 what is x ?
AysviL [449]

Answer:

(x−3)(x−5)

Step-by-step explanation:

Hope this helped

3 0
2 years ago
4.06 Question 9
Jlenok [28]

Answer: B. Graph of 2 lines that intersect at one point. Both lines are solid. One line passes through (-2,2) and (0,3) and is shaded below the line.

y < = 1/2x + 3...(-2,2)                y < = 1/2x + 3....(0,3)

2 < = 1/2(-2) + 3                        3 < = 1/2(0) + 3

2 < = -1 + 3                                3 < = 0 + 3

2 < = 2 (correct)                        3 < = 3 (correct)

The other line passes through points (0,1) and (1,-2) and is shaded above the line.

y > = -3x + 1...(0,1)            y > = -3x + 1...(1,-2)

1 > = -3(0) + 1                   -2 > = -3(1) + 1

1 > = 0 + 1                         -2 > = -3 + 1

1 > = 1 (correct)                 -2 > = -2 (correct)

4 0
2 years ago
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