$\bf \triangle ABD\sim \triangle DEC\implies \cfrac{AB}{ED}=\cfrac{AC}{CD}\implies \cfrac{42}{x}=\cfrac{6}{32-x}\implies 42(32-x)=6x \\\\\\ 1344-42x=6x\implies 1344=48x\implies \cfrac{1344}{48}=x\implies 28=x$

7 0

3 years ago

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Evaluate r^2−s^2, when r=12 and s=5.

kramer

Step-by-step explanation:

Given r = 12, s = 5,

${r}^{2} - {s}^{2} = {12}^{2} - {5}^{2} \\ = 144 - 25 \\ = 119$

5 0

2 years ago

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Tell if the measures 10, 12, and 16 can be the side lengths of a triangle. If so, classify the triangle as acute, obtuse, or rig

Daniel [21]

Answer:

Yes, acute

Step-by-step explanation:

Because 10 and 12 add up to more than 16, it is possible to construct an acute triangle with these side lengths. Since 10^2 + 12^2 ≠ 16^2, we know that any triangle so constructed will not be a right triangle.

3 0

2 years ago