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4 years ago

An angle measures 18 more than the angle of its complementary what is the measure of each angle

Mathematics

2 answers:

Debora [2.8K]4 years ago

5 0

Answer:

Step-by-step explanation:

complementary angles, when added, equal 90 degrees

so if 1 angle is x, then the other angle, its complement, is 90 - x.

x - 18 = 90 - x

x + x = 90 + 18

2x = 108

x = 108/2

x = 54

90 - x = 90 - 54 = 36

so one angle is 54 and its compliment is 36

Ksivusya [100]4 years ago

4 0

Answer:

Step-by-step explanation:

Complementary angles have measures that add to 90°.

ABC and CBD are complementary angles.

Since the angles are complementary, their measures must add to 90°. Set up an equation and solve for n.

n + 18° = 90°

n + 18° − 18° = 90° − 18°

n = 72°

The measure of the complementary angle is 72°.

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Roll two fair dice. Each die has six faces. A. Let A be the event that either a 3 or 4 is rolled first followed by an odd number

zhenek [66]

Answer:

A. 0.16

B. 0.58

C. No

D. Dependent

Step-by-step explanation:

The sampling space has 36 outcomes.

The event A has 6 outcomes (3,1), (3,3), (3,5), (4,1), (4,3),(4,5)

So P(A)= 6/36 = 0.16

The table in the picture shows the 15 outcomes that are not allowed, so there are 36-15 = 21 possible outcomes for B and its probability is 21/36 = 0.58

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No since their intersection is not empty, for example (3,1) belongs to both A and B

In order for A and B to be independent, it must happen that

P(A∩B)=P(A)P(B)

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whereas

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4 years ago

Find a ⋅ b. a = <5, 2>, b = <4, 5>

cestrela7 [59]

Answer:

Step-by-step explanation:

For a = <xa, ya> and b = <xb, yb>, the dot product is the sum of products ...

a·b = (xa)(xb) + (ya)(yb)

Substituting the given information, you have ...

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3 years ago

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telo118 [61]

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