2 years ago

Can someone help me with finding the answer on this. It’s very important and I am having trouble.

Mathematics

1 answer:

tino4ka555 [31]2 years ago

6 0

Answer:

1) D √40 2) D √40 3) H congruence 4) B Isosceles triangle

Step-by-step explanation:

CA = √(3-1)²+(6-0)² = √4+36 = √40

AB = √(5-3)² + (0-6)² = √4+36 = √40

CA ≅AB by definition of congruence

ΔABC is an isosceles triangle by definition of isosceles triangle

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1 + 5sin^2x= 7sin^2x solve trig equation. Can you show me how to solve this trig equation?

pantera1 [17]

Answer: $x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$

Step by step:

$1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$