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Evgen [1.6K]
1 year ago
6

Solve for x. round to nearest tenth. angle DEF is an equilateral triangle. hyp is 24

Mathematics
1 answer:
Arturiano [62]1 year ago
7 0

Since the triangle DEF is an equilateral triangle and x is the height of this triangle, we can use the following formula for the height of an equilateral triangle:

h=\frac{l\sqrt[]{3}}{2}

Where 'l' is the length of the triangle side.

So, using l = 13, we have:

\begin{gathered} x=\frac{13\cdot\sqrt[]{3}}{2} \\ x=\frac{13\cdot1.73}{2} \\ x=11.2 \end{gathered}

So the value of x is 11.2

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Let the first number be 'x' and the second number is 'y'

Equation 1: x + y = 52
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Rearranging equation 2 to make either x or y the subject
x = 38 + y

Substituting x = 38 + y into equation 1

x + y = 52
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Substitute y = 7 into either equation 1 or equation 2 to find x

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x = 52 - 7
x = 45

x = 45
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