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Sliva [168]
2 years ago
10

What is the value of x?

Mathematics
1 answer:
kipiarov [429]2 years ago
7 0
First of all, let’s find CB.
sin(45°) = CB : 6sqrt(2)
CB = 6
Now we can find CD
cos(60°) = x : 6
x = 3
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Answer:

Step-by-step explanation:

Given rule for the multiple translations is,

T_{5,-0.5}.R_{0.180^{\circ}}(x,y)

Apply the rule R_{0,180^{\circ}} first.

(x, y) → (-x, -y)

This rule illustrates a rotation of the triangle FGH by 180° about the origin,

Vertices of ΔFGH are,

F → (1, 1)

G → (4, 5)

H → (5, 1)

After rotation vertices of the image triangle are,

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G' → (-4, -5)

H' → (-5, -1)

Further apply the rule,

T_{5,-0.5}

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By this rule of translation,

F'(-1, -1) → F"{(-1 + 5), (-1 - 0.5)}

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G'(-4, -5) → G"[(-4 + 5), (-5 - 0.5)]

              → G"(1, -5.5)

H'(-5, -1) → H"[(-5 + 5), (-1 -0.5)]

             → H"(0, -1.5)

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Step-by-step explanation:

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