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bearhunter [10]
2 years ago
13

Find the value of x. The figure shows complementary angles. The label for the first angle is x plus 9 degrees. The label for the

second angle is 44 degrees.
Mathematics
1 answer:
monitta2 years ago
5 0

The value of x, when two angles are complementary with one angle value is x plus 9 degrees and the second angle value is 44 degrees, is 37 degrees.

<h3>What is complementary angles?</h3>

The two angles are called complementary angles, when the sum of these two angle is equal to the 90 degrees.

Suppose there are two angle, angle A and angle B. These two angles will be complementary if,

m\angle A+m\angle B=90^o

The figure shows complementary angles.

  • The label for the first angle is x plus 9 degrees (x+9).
  • The label for the second angle is 44 degrees 44.

As, both the angles are complementary. Thus,

(x+9)+44=90\\x+9+44=90\\x+53=90\\x=90-53\\x=37^o

Thus, the value of x, when two angles are complementary with one angle value is x plus 9 degrees and the second angle value is 44 degrees, is 37 degrees.

Learn more about the complementary angles here;

brainly.com/question/16281260

#SPJ1

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Answer:

diagonal = = 12.8 inches (to the nearest tenth of an inch)

Step-by-step explanation:

As shown in the diagram attached to this solution:

Let the Length of the rectangular board = a

Let the width = b

Let the diagonal = d

where:

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Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:

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d = 12.8 inches (to the nearest tenth of an inch)

<em>N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.</em>

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