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3 years ago

Lines h and k are two parallel lines that have been cut by the transversal t. What is the measure of <1

Mathematics

1 answer:

dezoksy [38]3 years ago

7 0

The measure of angle 1 which is alternate to 71 degrees is 71°

<h3>How to find an alternate angles?</h3>

when parallel lines are cut by a transversal line, angles relationship are formed such as corresponding angles, alternate angles etc.

Therefore,

When two straight lines are cut by a transversal, then the angles formed on the opposite side of the transversal with respect to both the lines are called an alternate angle.

Hence,

∠1 ≅ 71°

learn more on alternate angles here: brainly.com/question/13821266

#SPJ1

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4 years ago

Match the function with its graph. a. 1C, 2B, 3D, 4A c. 1D, 2A, 3C, 4B b. 1A, 2D, 3B, 4C d. 1A, 2B, 3C, 4D Please select the bes

oksano4ka [1.4K]

Answer:

The correct answer is "Option C".

Step-by-step explanation:

Given:

$\bold{ 1) y= -\tan (x- \frac{\pi}{2})}\\\\\bold{ 2) y= \tan (x+ \frac{\pi}{2})}\\\\\bold{ 3) y= -\cot (x- \frac{\pi}{2})}\\\\\bold{ 4) y= \cot (x+ \frac{\pi}{2})}\\\\$

solve the above equation:

$\Rightarrow 1) \ y= -\tan (x- \frac{\pi}{2})\\\\\Rightarrow \ y= \tan (\frac{\pi}{2}-x)\\\\\Rightarrow \ y= \cot x \ \ \ \ \ \bold{ that \ matchs \ graph \ D}\\\\ \Rightarrow 2) \ y= \tan (x+ \frac{\pi}{2})\\\\\Rightarrow \ y= - \cot x \ \ \ \ \bold{ that \ matchs \ graph \ A}\\\\$

$\Rightarrow 3) \ y= -\cot (x- \frac{\pi}{2})\\\\\Rightarrow \ y=\cot ( \frac{\pi}{2}-x)\\\\\Rightarrow \ y=\tan x\ \ \ \ \bold{that \ matchs \ graph \ C}\\\\$

$\Rightarrow 4) \ y= \cot (x+ \frac{\pi}{2})\\\\\Rightarrow \ y= \cot (\frac{\pi}{2}+x)\\\\\Rightarrow \ y= \ -tan x \ \ \ \ \ \bold{ that \ matchs \ graph \ A}$

The final answer is "Option C".

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