Answer:
12<x<16
Step-by-step explanation:
if c^2 > a^2 + b^2
then the triangle is obtuse
since 20 is the longest side
20^2 > x^2 + (x+4)^2
simplify
400 > x^2 + (x+4)(x+4)
FOIL
400 > (x^2 ) + (x^2 + 4x+4x+16)
combine like terms
400 > (2x^2 + 8x+16)
divide by 2
400/2 > 2x^2 /2 + 8x/2 + 16/2
200 > x^2 + 4x +8
subtract 200 from each side
0> x^2 + 4x +8-200
0> x^2 +4x-192
Factor
0 > (x-12) ( x+16)
using the zero product property
0> x-12 0 > x+16
12>x -16>x
x must be greater than 12
we know the longest side is 20
x+4 < 20
subtract 4
x< 16
x>12 and x < 16
12<x<16
<span><span>1.
</span>Jill’s fish weighs 8 times as much as her
parakeet.
Together they weigh 63 ounce.
Find the weight of the fish.
=> Jill’s Fish = 8x
=> Parakeet = x
Equation:
=> 8x + x = 63
=> 9x = 63
=> 9x / 9 = 63 / 9
=> 7 ounce
Thus the weight of fish = 8(7)
=> 56 ounce
Which is 8 times as much as parakeet which is 7
=> 56 + 7 = 63 ounce</span>
Answer:
Slope is undefined.
Step-by-step explanation:
Answer:
Celsius * 9/5 + 32 = Fahrenheit
Step-by-step explanation:
1 mile has 3 markers.
2 miles have 6 markers.
2/3= 2 markers.
2 2/3 has 11 markers placed on the trail! 6+3+2=11
Hope this helps!
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