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3 years ago

Solve for x in the diagram

Mathematics

1 answer:

Aliun [14]3 years ago

4 0

Answer:

x=12

Step-by-step explanation:

The two angles shown are complementary angles, so the add to 90 degrees

x+42 + 3x = 90

Combine like terms

4x+42 = 90

Subtract 42 from each side

4x+42-42 = 90-42

4x = 48

Divide by 4

4x/4 = 48/4

x = 12

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3 years ago

How far apart in feet are Marcus and Joel. Please round your answer to the nearest tenth of a foot

Pavel [41]

Answer:

The distance between Marcus and Joel is approximately 127.3 feet.

Step-by-step explanation:

The distances between Jean to Joel, Jean to Marcus and Marcus to Joel form a right triangle where the distance from Marcus to Joel is the hypothenuse. We can measure the distance from Jean to Marcus and Jean to Joel by using the grid provided, since they're along the same axis. This is shown below:

d(Jean, Marcus) = Jean(x) - Marcus(x) = 100 - 10 = 90 feet

d(Jean, Joel) = Jean(y) - Joel(y) = 90 - 0 = 90 feet

We can apply the pythagora's theorem to find the distance between Marcus and Joel.

d(Marcus,Joel)² = d(Jean,Marcus)² + d(Jean,Joel)²

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d(Marcus,Joel)² = 2*(90)²

d(Marcus, Joel) = sqrt(2*(90)²) = 90*sqrt(2) = 127.279 feet

The distance between Marcus and Joel is approximately 127.3 feet.

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4 years ago

Think about the sets of rational numbers, integers, and whole numbers.

Rus_ich [418]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Lisa, Juan and isaac equally shared 1/2 of a cake which fraction of the whole cake did each of them recieve

IgorLugansk [536]

Answer:

Each will receive $\frac{1}{6}th$ of the cake.

Step-by-step explanation:

Let the amount of cake = c

Lisa, Juan and Isaac are the persons who are sharing half of a cake equally.

Number of persons = 3

Part of the cake shared = $\frac{c}{2}$

Fraction of the cake shared by each = $\frac{\text{Amount of cake shared}}{\text{Number of persons who shared}}$

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3 years ago

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Answer:

a) 7 tiles

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Step-by-step explanation:

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3 years ago