In a 30°-60°-90° triangle, the sides occur in a ratio of 1 to √3 to 2. In this case, <em>x</em> is half the length of the hypotenuse, so <em>x</em> = 4.
Or, using trig,
cos(30°) = <em>x</em>/8
<em>x</em> = 8 cos(30°) = 8 (1/2) = 4
You should begin by graphing both of these triangles, then seeing the type of translation that happened.
Answer:
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The value of the hats bought by John, Stacey, and Jim are $8 per hat. This shows a proportional relationship.
<h3>What is a proportional relationship?</h3>
It should be noted that a proportional relationship is one where it van be expressed as y = kx.
In this case, John bought 3 for $24.00. This will be:
= $24 / 3
= $8 per hat
Stacey bought 5 for $40.00. This will be:
= $40 / 5
= $8 per hat
Jim bought 2 for $16.00. This will be:
= $16/2
= $8 per hat
Therefore, it's a proportional relationship.
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Answer:
x = 8
Step-by-step explanation:
-4x + 6(6 - 2x) = -7x - 36
-4x + 36 - 12x = -7x - 36
-16x + 36 = -7x - 36
<u> +36 +36</u>
-16x + 72 = -7x
<u>+16x +16x</u>
72 = 9x
divide by 9
<u><em>x = 8</em></u>
