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balu736 [363]
3 years ago
6

△ABC ~ △XYZ. Find X. Thanks!

Mathematics
1 answer:
Marizza181 [45]3 years ago
8 0

Answer:

<h2>\huge \: \boxed{ \boxed{21}}</h2>

Step-by-step explanation:

according to the question

\frac{14}{2x + 7}  =  \frac{x - 3}{63}

882 = (x - 3)(2x + 7)

0 =882 -  (x - 3)(2x + 7)

882 - (2 {x}^{2}  + x - 21) = 0

882 -  {2x}^{2}  - x  + 21 = 0

- {2x}^{2}  - x + 903 = 0

2x + x - 903 = 0

(2x + 43)(x - 21) = 0

x =  -  \frac{43}{2}  \\ x = 21

\huge \therefore x = 21

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Answer:

<em>Any width less than 3 feet</em>

Step-by-step explanation:

<u>Inequalities</u>

The garden plot will have an area of less than 18 square feet. If L is the length of the garden plot and W is the width, the area is calculated by:

A = L.W

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LW < 18

The length should be 3 feet longer than the width, thus:

L = W + 3

Substituting in the inequality:

(W + 3)W < 18

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W < 3

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W = L - 3

This means:

L - 3 < 3

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The width should be less than 3 feet and therefore the length will be less than 6 feet.

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W = 1 ft, L = 4 ft

W = 2 ft, L = 5 ft

Another solution would be (for non-integer numbers):

W = 2.5 ft, L = 5.5 ft

There are infinitely many possible combinations for W and L as real numbers.

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Answer:

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Step-by-step explanation:

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