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dexar [7]
3 years ago
5

∆ABC, <B=90 •|AC|=50cm |BCI=14cm Find AB.​

Mathematics
1 answer:
Delvig [45]3 years ago
8 0

Answer:

Step-by-step explanation:

AC = 50 cm

BC = 14 cm

Pythagorean theorem,

AB² + BC² = AC²

AB² + 14² = 50²

AB² + 196 = 2500

AB² =  2500 - 196

AB² = 2304

AB = √2304

AB = 48 cm

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Nitella [24]

Answer:

<em>Henson: 3x + y = 163</em>

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<em>adult ticket price: $45</em>

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Step-by-step explanation:

Henson Family:

3 adults + 1 child; total $163

3x + y = 163

Garcia Family:

2 adults + 3 children; total $174

2x + 3y = 174

Now we solve the system of equations.

Solve the first equation (Henson Family) for y.

y = 163 - 3x

Substitute 163 - 3x for y in the second equation (Garcia Family).

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x = 45

Now substitute 45 for x in the first original equation and solve for y.

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3(45) + y = 163

135 + y = 163

y = 28

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child ticket price: $28

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