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2 years ago

In the following diagram HI || JK.What is the measure of Angles are not necessarily drawn to scale.

Mathematics

1 answer:

Nadya [2.5K]2 years ago

4 0

ANSWER

xº = 52º

EXPLANATION

Since segments HI and JK are parallel, we can see segment AK as a transversal:

So angle JKA and angle HIA are corresponding angles and they are congruent.

Then we have triangle HAI, and we have two of the angle's measures. The sum of the measures of the interior angles of a triangle is 180º:

$xº+66º+62º=180º$

Solving for x:

$\begin{gathered} xº+128º=180º \\ xº=180º-128º \\ xº=52º \end{gathered}$

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Solve the equations for the given variable. Then place the equations in the table under the correct solution

vekshin1

Placing the equations under the correct solution, we get

x = 3 x ≠ 3

-14x = -42 -5 + x = -9

$-\frac{3}{5} +x = \frac{12}{5}$ $\frac{x}{3} =9$

$\frac{x}{4} =\frac{6}{8}$

x -5 = -2

<h3>Solving Linear Equations </h3>

From the question, we are to place the equations under the correct solution

To do this, we will solve the equations one after the other

-14x = -42

x = -42/-14

x = 3

-5 + x = -9

x = -9 + 5

x = -4

∴ x ≠ 3

$-\frac{3}{5} +x = \frac{12}{5}$

$x = \frac{12}{5} +\frac{3}{5}$

$x = \frac{12+3}{5}$

$x = \frac{15}{5}$

x = 3

$\frac{x}{4} =\frac{6}{8}$

$x=\frac{6\times 4}{8}$

$x=\frac{24}{8}$

x = 3

$\frac{x}{3} =9$

x = 3 × 9

x = 27

∴ x ≠ 3

x -5 = -2

x = -2 + 5

x = 3

Hence, placing the equations under the correct solution, we get

x = 3 x ≠ 3

-14x = -42 -5 + x = -9

$-\frac{3}{5} +x = \frac{12}{5}$ $\frac{x}{3} =9$

$\frac{x}{4} =\frac{6}{8}$

x -5 = -2

Learn more on Solving linear equations here: brainly.com/question/13204213

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Answer:

Sorry if this is late

Step-by-step explanation:

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Convert the polar equation to rectangular form: r = 2 / [1 + sin(theta)]

iren2701 [21]

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