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1 year ago

The following angles are supplementary to each other.

Mathematics

2 answers:

Elan Coil [88]1 year ago

4 0

The value of x in given angles is 36°

<h3>What are supplementary angles?</h3>

When the sum of two angles is 180°, then they are said to be supplements of each other.

Given are two angles which are supplements of each other,

Then according to definition of supplementary angles,

m∠A+m∠B = 180°

(2x − 27)°+(3x + 27)° = 180°

2x+3x = 180°

5x = 180°

x = 180°/5

x = 36°

Hence, The value of x in given angles is 36°

For more references on supplementary angles, click;

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choli [55]1 year ago

3 0

Answer:

Step-by-step explanation:

(2x - 27) + (3x + 27)= 180 (supplementary)

2x - 27 + 3x + 27 = 180

2x + 3x + 27 - 27 = 180

5x + 0 = 180

180 ÷ 5 = x

36 = x

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Solve for x. Round to the nearest hundredth.

Airida [17]

Answer: $32.98^{\circ}$

Step-by-step explanation:

Since, By the given diagram,

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Also, In triangle DFA,

$sin 56^{\circ} = \frac{DA}{DF}$

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⇒ $16\times sin 56^{\circ}=DA$

⇒ $13.2646011609\text{ cm} = DA$

Now, In triangle, DEC,

$tan x = \frac{EC}{DC}$

⇒ $tan x = \frac{EB-CB}{DC}$

⇒ $tan x = \frac{EB-DA}{DC}$

⇒ $tan x = \frac{23-13.2646011609}{15}$

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⇒ $x = 32.9846428556^{\circ} \approx 32.98^{\circ}$

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3 years ago

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Andreas93 [3]

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3 years ago

Parallel to y=2x-4 through (8,8)

yanalaym [24]

Answer:

y = 2x - 8

Step-by-step explanation:

Parallel lines have SIMILAR RATE OF CHANGES [SLOPES], so 2 remains the same:

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3 years ago

A bag contains 10 red marbles, 7 green marbles. and 8 striped marbles. A marble is picked, then put back into bag. Find P(green

SIZIF [17.4K]

G = number of green = 7

S = number of striped = 8

T = number total = 10+7+8 = 25

probability of picking green = P(G) = G/T = 7/25

probability of picking striped = P(S) = S/T = 8/25

P(green and striped) = P(G)*P(S) ... events are independent

P(green and striped) = (7/25)*(8/25)

P(green and striped) = (7*8)/(25*25)

P(green and striped) = 56/625

P(green and striped) = 0.0896

--------------------------------

In summary, the answer as a fraction is 56/625

In decimal form, the answer is 0.0896

The value 0.0896 can be converted to percent form to get 8.96%

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