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Vinil7 [7]
3 years ago
8

Find the point of depression from point A to point C

Mathematics
1 answer:
lesya [120]3 years ago
3 0

The angle of depression equals 32.


A way that you can solve this is by finding angle c. Angle C would be the same as the angle of depression because of alternate angles being congruent.

So you do the triangle angle sum theorem.

58+90+x=180

Simplify

148 +x=180

Subtract 148 from both sides

x=32

So Since angle c equals to 32 degrees, then the angle of depression is also 32 degrees.

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24 is 12% of 200 hope that helps

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Roger is x centimeters tall and Olivia is y centimeters tall. Their oldest sister, Isabella, is 25 centimeters shorter than the
sukhopar [10]

Answer:

<h2><em>[2(x+y)-25]cm</em></h2>

Step-by-step explanation:

Let the height of their oldest sister isabella be z centimeters. Roger is x centimeters tall and Olivia is y centimeters tall.

If their oldest sister, Isabella, is 25 centimeters shorter than the double of the sum of Roger and Olivia's height, this can be expressed as shown;

First let us get the sum of Roger and Olivia's height;

The sum of Roger and Olivia's height = (x+y)cm

The double of the sum of their ages = 2* (x+y)cm = 2(x+y)cm

Now if Isabella, is 25 centimeters shorter than the double of the sum of their ages, the expression will be [2(x+y)-25]

<em>Since the height of isabella is z, the expression that model isabella's height will be expressed as z =[2(x+y)-25]cm</em>

3 0
4 years ago
One plane can travel 20 miles per hour faster than another. One of them goes 285 miles in the same time it takes the other to go
Hatshy [7]

Answer:

\huge\fbox{Answer ☘}

\bold\blue{190 \:miles/hr \:and \:170 \:miles/hr}

Step-by-step explanation:

Let the speed of faster plane be x

therefore ,

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As the time taken is same ,

\frac{285}{x}  =  \frac{255}{x - 20}  \\  \\  \frac{57}{x}  =  \frac{51}{x - 20}  \\  \\ 57(x - 20) = 51x \\  \\ 6x = 1140 \\  \\ x = 190

therefore ,

faster plane travels at a speed of 190 miles/hr

while..

the slower plane travels at a speed = ‎ ‎ ‎ ‎ ‎ ‎( 190-20 ) miles/hr

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hope helpful~

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correct

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the first one

Step-by-step explanation:

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