What is the length of the unknown leg

Mathematics

1 answer:

likoan [24]3 years ago

6 0

Answer:

6 mm

Step-by-step explanation:

Use the Pythagorean Theorem to solve for the unknown leg

$a^{2} +b^{2}=c^{2}$

Since we need to solve for a, we will manipulate the equation in terms of b and c → $a=\sqrt{c^{2}-b^{2} }$

Here, b = 7 mm and c = $\sqrt{85}$ mm

Plugging these numbers into our equation gives us $a=\sqrt{(\sqrt{85})^{2} -(7)^{2} }$ → $\sqrt{85-49}$ = $\sqrt{36}$ = 6 mm

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Svetradugi [14.3K]

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60 = 5y + 10
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y = 50/5 =<em> 10</em>

2. As you can see in the second picture attached, Angles B and C are equal. That also means that their respective opposite sides are equal. So,

8x - 4 = 5x + 11
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