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liberstina [14]
3 years ago
5

Can anyone help find x?

Mathematics
1 answer:
sergejj [24]3 years ago
6 0

Answer:

x = 112°

Step-by-step explanation:

To find the value of x, you need to understand the properties of vertical and supplementary angles and know that the sum of angles inside a triangle is 180°.

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Im giving 100 Points to anyone who could solve this for me please.
myrzilka [38]

Answer:

AB = 27.2

BC = 33.5

AC = 50.4

∠A = 38°

∠ABC = 112°

Step-by-step explanation:

<u>Trigonometric ratios</u>

\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

\implies \sf \cos(30^{\circ})=\dfrac{29}{BC}

\implies \sf BC=\dfrac{29}{\cos(30^{\circ})}

\implies \sf BC=\dfrac{58\sqrt{3}}{3}=33.5\:(nearest\:tenth)

\implies \sf \tan(30^{\circ})=\dfrac{BD}{29}

\implies \sf BD=29\tan(30^{\circ})

\implies \sf BD=\dfrac{29\sqrt{3}}{3}

\implies \sf \sin(38^{\circ})=\dfrac{BD}{AB}

\implies \sf AB=\dfrac{\dfrac{29\sqrt{3}}{3}}{\sin(38^{\circ})}

\implies \sf AB=27.2\:(nearest\:tenth)

\implies \sf \tan(38^{\circ})=\dfrac{BD}{AD}

\implies \sf AD=\dfrac{\dfrac{29\sqrt{3}}{3}}{\tan(38^{\circ})}

\implies \sf AD=21.4\:(nearest\:tenth)

\implies \sf AC=AD+DC=21.4+29=50.4

The interior angles of a triangle sum to 180°

⇒ ∠A + 52° + 90° = 180°

⇒ ∠A = 180° - 90° - 52°

⇒ ∠A = 38°

⇒ ∠ABC + 38° + 30° = 180°

⇒ ∠ABC = 180° - 38° - 30°

⇒ ∠ABC = 112°

**I have checked the measures using a graphing programme - see attached**

8 0
2 years ago
Simplify the expression and SHOW YOUR WORK, please.<br><br> 10h+6-5h+3
irinina [24]

<u><em>5h+9 is the right answer. </em></u> First you had to used group like terms, and it gave us, 10h-5h+6+3. Then add similar elements, and it gave us, 10h-5h=5h, or 5h+6+3. Finally, you had to add by the numbers, and it gave us, 6+3=9, or and it gave us the answer is 5h+9 is the right answer. Hope this helps! And thank you for posting your question at here on brainly, and have a great day. -Charlie

5 0
3 years ago
A sports store received a shipment of 400 baseball gloves, 30% were left-
noname [10]
280 right handed gloves. First, we'd need to find out the amount of left handed gloves. We do this by multiplying 0.3 (which is basically 30%) by the total number of gloves. This is because we are finding out 30% of the 400 gloves, and "of" represents multiplication. We get 120. Then, we subtract that number from 400 to get the amount of right handed gloves, which is 280. hope this helps :)
5 0
3 years ago
Read 2 more answers
$33000/1year = ?dollars/1month
mr Goodwill [35]

Answer:

$2750/month

Step-by-step explanation:

33000/12=2750

3 0
3 years ago
Read 2 more answers
How to find the exterior angle
Vlad1618 [11]

X + 12 + X - 6 = X + 50

2X + 6 = X + 50

X = 44

44 + 50 = 94

To check you can substitute X into the problem.

44 + 12 = 56

44 - 6 = 38

44 + 50 = 94

56 + 38 = 94

94 = 94

8 0
3 years ago
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