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seropon [69]
3 years ago
9

In a quadrilateral, three of the angles are obtuse. Which of the following could not be the angle measure of the fourth angle?

Mathematics
1 answer:
Luba_88 [7]3 years ago
3 0
If an angle it is obtuse it is between 90 and 180.

Angles in a quadrilateral add up to 360.

Therefore 3 obtuse angles must add up to AT LEAST 273 and if you then added the 90 it would get you to 363 which is too large so it cant be 90 :)
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A new Outdoor recreation Center is being built in Erie. The perimeter of the rectangular playing field is 456 yards. The length
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Answer:

P= 456 = 2X +2Y    (1)

And for this case we know the following condition "The length of the field is 7 yards less than quadruple the width" and we can write this :

X = 4Y -7

And replacing into equation (1) we got:

456= 2(4Y-7) +2Y

456 = 8Y -14 +2Y

456 = 10Y-14

Adding 14 in both sides we got:

456+14 = 10Y

And dividing 10 on both sides we got:

Y=\frac{470}{10}= 47

And then we can solve for X and we got:

X= 4*47 -7=181

Step-by-step explanation:

For this case we can set up the following notation:

X represent the lenght

Y represent the width

And since we have a rectangular playing filed the perimeter is given by:

P= 456 = 2X +2Y    (1)

And for this case we know the following condition "The length of the field is 7 yards less than quadruple the width" and we can write this :

X = 4Y -7

And replacing into equation (1) we got:

456= 2(4Y-7) +2Y

456 = 8Y -14 +2Y

456 = 10Y-14

Adding 14 in both sides we got:

456+14 = 10Y

And dividing 10 on both sides we got:

Y=\frac{470}{10}= 47

And then we can solve for X and we got:

X= 4*47 -7=181

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