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LenKa [72]
3 years ago
7

How do you find x? Please help

Mathematics
1 answer:
joja [24]3 years ago
5 0
ANSWER:

x = 5

The value of ( x ) is equivalent to 5.

STEP-BY-STEP EXPLANATION:

Testing triangle AHD is congruent to triangle CHD -

Angle ADH = Angle CDH ( given )

Side AH = Side CH ( given )

Angle AHD = Angle BHC = 90° ( equal vertically opposite angles )

Angle CHD = 180° - Angle AHD = 180° - 90° = 90° ( supplementary angles on a straight line )

Angle AHD = Angle CHD = 90°

Angle DAH = Angle DCH ( angle sum of a triangle )

Therefore, triangle AHD is congruent to triangle CHD.

As triangle AHD is congruent to triangle CHD, we can do the following:

AD = 2x - 3

CD = x + 2

AD = CD

THEREFORE:

2x - 3 = x + 2

2x - x = 2 + 3

x = 5

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dmitriy555 [2]

f(3) = 1

substitute x = 3 into f(x)

f(3) = (2 × 3) - 5 = 6 - 5 = 1


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3 years ago
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8 0
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Corn costs 99 cents per pound, and beans cost 45 cents per pound. If Shea buys 24 total pounds of corn and beans, and it costs $
viva [34]
Shea bought 13.5 pounds of corn

c = pounds of corn
b = pounds of beans

Here’s what we know:
c(0.99) + b(0.45) = 18.09
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Solve the second equation for c in terms of b

c = 24-b

Substitute that expression for c in our first equation to get a numerical solution for b:

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