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Find the value of x. Round to the nearest tenth for numbers #19.


Find the value of x. Round to the nearest degree # 23 & #27.


-Answer the last question :)

LAST QUESTION: The lengths of the diagonals of a rhombus are 2in. and 5in. Find the measures of the angles of the rhombus to the nearest degree.

Please HelpFind The Value Of X Round To The Nearest Tenth For Numbers 19Find The Value Of X Round To The Nearest Degree 23 Amp 27Answer The Last Question LAST Q class=
Please HelpFind The Value Of X Round To The Nearest Tenth For Numbers 19Find The Value Of X Round To The Nearest Degree 23 Amp 27Answer The Last Question LAST Q class=
Please HelpFind The Value Of X Round To The Nearest Tenth For Numbers 19Find The Value Of X Round To The Nearest Degree 23 Amp 27Answer The Last Question LAST Q class=

Sagot :

MrRoyal

The values of x in the triangles and the angles in the rhombus are illustrations of tangent ratios

  • The values of x in the triangles are 21.4 units, 58 degrees and 66 degrees
  • The angles in the rhombus are 44 and 46 degrees, respectively

How to determine the values of x?

Triangle 1

The value of x is calculated using the following tangent ratio

tan(25) = 10/x

Make x the subject

x = 10/tan(25)

Evaluate

x = 21.4

Triangle 2

The value of x is calculated using the following tangent ratio

tan(x) = 8/5

Evaluate the quotient

tan(x) = 1.6

Take the arc tan of both sides

x = arctan(1.6)

Evaluate

x = 58

Triangle 3

The value of x is calculated using the following tangent ratio

tan(x) = 0.34/0.15

Evaluate the quotient

tan(x) = 2.27

Take the arc tan of both sides

x = arctan(2.27)

Evaluate

x = 66

How to calculate the angles of the rhombus?

The lengths of the diagonals are:

L1 = 2 in

L2 = 5 in

Represent the angles with x and y.

The measures of the angles are calculated using the following tangent ratios

tan(0.5x) = 2/5 and y = 90 - x

Evaluate the quotient

tan(0.5x) = 0.4

Take the arc tan of both sides

0.5x = arctan(0.4)

Evaluate

0.5x = 22

Divide by 0.5

x = 44

Recall that:

y = 90 - x

This gives

y = 90 - 44

Evaluate

y = 46

Hence, the angles in the rhombus are 44 and 46 degrees, respectively

Read more about tangent ratio at:

https://brainly.com/question/13347349

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