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3 years ago

Use the relationship in the diagrams below to solve for x. Show all work.

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

5 0

Answer:

a. x = 24

b. x = 40

Step-by-step explanation:

You are given a right triangle, so use the Pythagorean theorem

a^2 + b^2 = c^2

x^2 + 18^2 = 30^2

x^2 + 324 = 900

x^2 = 576

x = 24

The sum of the measures of all angles is 360 degrees.

x + 2x + 2x + 20 + 3x + 20 = 360

8x + 40 = 360

8x = 320

x = 40

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Step-by-step explanation:

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3 years ago

A boat travels upstream for 48 miles in 3 hours and returns in 2 hours traveling downstream in a river. What is the rate of the

alekssr [168]

Answer:

20 mph and 4 mph

Step-by-step explanation:

GIVEN: A boat travels upstream for $48$ miles in $3$ hours and returns in $2$ hours traveling downstream in a river.

TO FIND: What is the rate of the boat in still water and the rate of the current.

SOLUTION:

Let the speed of boat in still water be $s$ and speed of current be $a$ .

$\therefore$ speed of water in upstream $=s+a$

speed of water in downstream $=s-a$

As $speed=\frac{distance}{time}$

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Solving both we get

$s=20\text{ mph}$

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