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3 years ago

11

Two boats started to move towards each other from two boat stations, located 30 miles apart. One boat moved at a speed of 3 mile

s per hour, the other moved twice as fast. How soon will the boats meet?

1 answer:

madam [21]3 years ago

5 0

Answer:

The boats will meet in 3.33 hours.

Step-by-step explanation:

A(t) = B(t)

3t = 30 - 6t

9t = 30

t = $\frac{30}{9}$

t = 3.33

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3 years ago

Read 2 more answers

In the diagram, GH bisects ∠FGI.

Diano4ka-milaya [45]

An angle bisector divides the angle into equal halves.

<em>The value of x is 20</em>
<em>FGH = HGI = 35</em>
<em>F</em><em>GI = 70</em>

From the question, we understand that GH bisects FGI.

This means that:

$< fgh \: = < hgi$

So, we have:

$2x - 5 = 3x - 25$

Collect like terms

$3x - 2x = 25 - 5$

Evaluate like terms

$x = 20$

From the question

$< fgh \: = 2x - 5$

Substitute 20 for x

$< fgh \: = 2 \times 20 - 5$

$< fgh \: = 35$

Recall that:

$< fgh \: = < hgi$

This means that:

$< hgi \: = 35$

The measure of FGI is the sum of both angles.

So, we have:

$< fgi \: = 35 + 35$

$< fgi = 70$

Read more about angle bisectors at:

brainly.com/question/2478436

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3 years ago