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goblinko [34]
2 years ago
15

A right triangle has one angle that measures 44°. What is the measure of the other acute angle?

Mathematics
2 answers:
Sphinxa [80]2 years ago
5 0

Answer:

46°

Step-by-step explanation:

It is given that one of the angles measure 44°. In a right triangle, one of the angles is guaranteed to be 90°. A triangle's total angle measurement is 180°. Set the equation:

Answer = Total measurements - (one angle + right angle)

Answer = 180 - (90 + 44)

            =  180 - 134

           = 46

46° is your answer.

~

Tju [1.3M]2 years ago
4 0

<u>Given</u><u>:</u><u>-</u>

  • A right angle measures 90°
  • Measure of other angle = 44°

<u>To</u><u> </u><u>find</u><u>:</u><u>-</u>

  • Measure of 3rd Angle

<u>Solution:-</u><u> </u>

\underline{\dag{ \frak{\pink{ \: As \: we  \: know \:  that \ratio}}}}

❍ Sum of all angles of Triangle is 180°

⠀⠀

<u>Similarly</u> -

As we are talking about right angle so, Obviously one of the angle will be 90°

⠀⠀

Let's do it by step by step:

\begin{gathered}\::\implies\sf{90^\circ + 44^\circ\:+\:x\;=180^\circ}\\\\\\ :\implies\sf{ {134}^{ \circ} } + x =  {180}^{ \circ}\\\\\\ :\implies\sf{x =  {180}^{ \circ} } -  {134}^{ \circ}\\\\\\ :\implies\sf{x =  {46}^{ \circ} }\end{gathered}

⠀⠀

<u>.</u><u>°</u><u>.</u><u> </u><u>Hence</u><u>,</u><u> </u><u>Measure</u><u> </u><u>of</u><u> </u><u>other</u><u> </u><u>angle</u><u> </u><u>is</u><u> </u><u>4</u><u>6</u><u>°</u>

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Answer:

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Step-by-step explanation:

Given the measurements and key words/phrases in the problem, we can set up two different equations that can be used to find both variables, length and width, of the rectangle.  

The formula for perimeter of a rectangle is:  2W + 2L = P, where W = width and L = length.  We also know that the L is '7 more than five times its width'.  This can be written as:  L = 5W + 7.  Using this expression for the value of 'L', we can use the formula for perimeter and solve for width:

2W + 2(5W + 7) = 146

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Combine like terms:  12W + 14 = 146

Subtract 14 from both sides:  12W + 14 - 14 = 146 - 14 or 12W = 132

Divide 12 by both sides:  12W/12 = 132/12 or W = 11

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The statement third "Betty wrote an indirect proof using contradiction' and statement fourth "Ken wrote direct proof using deductive evidence" are correct.

<h3>What is an angle?</h3>

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We have Ken's statements are shown in the table:

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As we can in betty's proof:

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Thus, the statement third "Betty wrote an indirect proof using contradiction' and statement fourth "Ken wrote direct proof using deductive evidence" are correct.

Learn more about the angle here:

brainly.com/question/7116550

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