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solniwko [45]
3 years ago
8

Please answer this question ......

Mathematics
1 answer:
Ivanshal [37]3 years ago
8 0
We know that BCD + mC = 180, since they are supplementary.
We also know that the sum of the interior angles of a triangle is 180, mA + mB + mC = 180.

Now,
BCD + mC = 180 => 180 - mC = BCD; and,
mA + mB + mC = 180 => 180 - mC = mA + mB;

It's clear to see that, from the two equations above, we have,
BCD = mA + mB.

QED.
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Two trains leave towns 471 miles apart at the same time and travel toward each other. One train travels 21 miles per hour slower
nadya68 [22]

Let the slower train's velocity be x-21

Let the faster train's velocity be x

We know that the approach speed is the sum of both speeds, so x+x -21= 2x-21.

The approach rate is given by Distance/time = 471/3 = 157mpH

x+x-21=157

2x=157+21

2x=178

x=89mph

The slower train is travelling 89-21 = 68mph

The faster train is travelling 89mph.

7 0
2 years ago
From the observation deck of a skyscraper, Madison measures a 67^{\circ} ∘ angle of depression to a ship in the harbor below. If
mrs_skeptik [129]

The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.

<h3>What is trigonometric ratio?</h3>

Trigonometric ratio is used to show the relationship between the sides and angles of right angled triangle.

Let d represent the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:

Angle = 90 - 67 = 23°

Using trig ratio:

tan(23) = d/1143

d = 485.2 feet

The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.

Find out more on trigonometric ratio at: brainly.com/question/24349828

5 0
2 years ago
PLS HELP ASAP
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The percent of change is 73.33 percent
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There are 15 pieces of fruit in a bowl and 6 of them are apples.what percent of the pieces of fruit in the bowl are apples?
Lelu [443]

Answer:

40%

Step-by-step explanation:

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4 0
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Sue uses 3.75 meters of string to tie 3 balloons. she has 25 balloons to tie. how much string does she need.
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