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Angelina_Jolie [31]
3 years ago
11

Trigonometry please help

Mathematics
2 answers:
maks197457 [2]3 years ago
4 0

Answer:

x = 7.5

Step-by-step explanation:

tan = opp/adj

tan 37 = x/10

multiply both sides by 10

10 * tan37 = x

x = 7.535540501027942

Rounded

x = 7.5

kotykmax [81]3 years ago
3 0

Answer:

7.5

Step-by-step explanation:

x = 10 \tan \: 37 \degree \\  \\  \therefore \: x = 7.535540501 \\  \\ \therefore \: x  \approx 7.5

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In the diagram, the straight line ABC is parallel to EFG and DB is parallel to FC. Given that ABD=38 degrees and DFE=62 degrees.
Elanso [62]

Based on the calculations, the measure of angle BDF and CFG are 100° and 38° respectively.

<h3>The condition for two parallel lines.</h3>

In Geometry, two (2) straight lines are considered to be parallel if their slopes are the same (equal) and they have different y-intercepts. This ultimately implies that, two (2) straight lines are parallel under the following conditions:

m₁ = m₂

<u>Note:</u> m is the slope.

<h3>What is the alternate interior angles theorem?</h3>

The alternate interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.

Based on the alternate interior angles theorem, we can infer and logically deduce the following properties from the diagram (see attachment):

  • <ABD = <BDH = 38°
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For angle BDF, we have:

<BDF = <BDH + <HDF

<BDF = 38° + 62°

<BDF = 100°.

Since angles BDF and DFC are linear pair, they are supplementary angles. Thus, we have:

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For angle CFG, we have:

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<CFG = 180° - 62° - 80°

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Read more on parallel lines here: brainly.com/question/3851016

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2 years ago
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allochka39001 [22]
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#4 60

#5 2x+50+3x=180
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#5 3x=3(26)=78
#6 2x+50=2(26)+50=102

#7 AGE and CHG, AGH and CHF, EGB and GHD, HGB and FHD

#8 AGE and FHD, CHF and EGB
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3 years ago
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and you want the lowest cost so a.

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