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3 years ago

For the following right triangle, find the side length x

Mathematics

1 answer:

Juli2301 [7.4K]3 years ago

4 0

Answer:

Step-by-step explanation:

35^2+12^2=1369

√1369=37

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What is the slope of the blue line? what is the slope of the green line?

Ymorist [56]

Answer:

Blue Line’s Slope: -4/2

Green Line’s Slope: -4/2

Step-by-step explanation:

The slope of the line is the rise over run, or in this case the fall over run.

<h2><u>Hope This Helped!</u></h2>

4 0

3 years ago

On a quiet day without many witnesses, a 4.5 ft victim was shot by a sniper that was in a tower 780 ft away. If the angle of ele

azamat

Answer:

68.17m

Step-by-step explanation:

Please see attached a rough sketch of the scenario

Step one:

Given data

Height of victim= 4.5ft

The horizontal distance of the snipper from the building = 780ft

The angle of elevation= 5 degrees

Required

The vertical distance

The opposite= the vertical distance

789 ft = the adjacent

Step two:

Applying SOH CAH TOA

tan ∅= opp/adj

tan 5= opp/780

cross multiply we have

0.0874= opp/780

cross multiply we have

0.0874*780= opp

opp= 68.17m

The sniper shoots from a vertical distance of 68.17m

8 0

3 years ago

3. Un objeto pequeño se pesa con un mismo instrumento por nueve estudiantes de una clase, obteniéndose los siguientes valores en

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

6.0 , 6.0 , 6.1 , 6.2 , 6.3 , 6.15 , 6.23

hope that help mark me as a brill

3 0

3 years ago

4. Which of the following lines is perpendicular to y = -2X + 8?

Alenkinab [10]

For this case we have to by definition, if two lines are perpendicular then the product of its slopes is -1.

That is to say:

$m_ {1} * m_ {2} = - 1$

We have the following equation:

$y = -2x + 8$

So:

$m_ {1} = - 2$

Thus:

$m_ {2} = \frac {-1} {m_ {1}}\\m_ {2} = \frac {-1} {- 2}\\m = \frac {1}{2}$

Thus, a line perpendicular to the given line must have slope $m = \frac {1} {2}.$

Option A:

$x + 2y = 8\\2y = -x + 8\\y = - \frac {1} {2} x + 4$

It is not perpendicular!

Option B:

$x-2y = 6\\2y = x-6\\y = \frac {1} {2} x-3$

If it is perpendicular!

Option C:

$2x + y = 4\\y = -2x + 4$

It is not perpendicular!

Option D:

$2x-y = 1\\y = 2x-1$

It is not perpendicular!

The correct option is option B

ANswer:

Option B

5 0

3 years ago

list the pair of congruent angles and the extended proportion that relations the corresponding sides for the similar polygons KL

kherson [118]

Answer:

In Polygons KLMNP and HGFDC,

Angles K, L, M, N and P are corresponding to H, G, F, D and C,

And, Sides KL, LM, MN, NP and PK are corresponding to sides HG, GF, FD, DC and CH

If the two figures are similar then their corresponding sides and angles are congruent.

Therefore, If Polygon KLMNP is similar to HGFDC,

Then, ∠ K ≅ ∠ H, ∠ L ≅ ∠ G, ∠ M ≅ ∠ F, ∠ N ≅ ∠ D, ∠ P ≅ ∠ C

And, KL ≅ HG, LM ≅ GF, MN≅FD, NP≅DC, PK≅CH

7 0

3 years ago