hey guys.... please help me with this question ,chapter lines and angles and i will mark u the brainiest if u answer it 1st (6 marks)
hey guys.... please help me with this question ,chapter lines - 1

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

Alternate angles:When two lines are crossed by another line the pair of angles on opposite sides of the transversal is called alternate angles.  

Theorem 1:If a transversal intersects two Parallel Lines then each pair of alternate interior angles is equal.

Theorem 2 :If a transversal intersects two lines such that a pair alternate interior angle is equal then the two lines are parallel.  

SOLUTION:

Given:  ∠AGE=126°

∠AGE=∠GED=126∘ [alternate interior angles]

 (ii) ∠GED=∠GEF+∠FED=126∘

∠GEF + 90° =126°

(GIVEN that EF⊥CD)  

∠GEF=126°−90°=36°

∠GEF=36°

(iii) ∠CEG+∠GED=180°

(GIVEN ∠GED=126∘)

∠CEG+126° =180°

∠CEG=180° −126°

∠CEG=54°

∠FGE=∠CEG= 54°     (alternate angles)


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A coin is tossed 40 times. Heads appeared 18 times. Find the experimental probability of landing on heads.

Answers

The experimental probability of landing on heads will be 9/20 or 0.45.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

A coin is tossed 40 times.

Heads appeared 18 times.

Total events = 40

Favorable events = 18

Then the experimental probability of landing on heads will be

P = 18 / 40

P = 9 / 20

P = 0.45

More about the probability link is given below.

brainly.com/question/795909

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18 out of 40

(18)/(40) = (9)/(20) = 0.45 = 45 \%

Choose the correct simplification of (a^5b^6)/(a^4b^4)(a) a^9b^1^0
(b) ab^2
(c) (1)/(ab^2)
(d) (1)/(a^9b^1^0)

Answers

The correct simplification will be: (b) ab²

(a^5 b^6)/(a^4 b^4)

Here we will use the property of exponents for division of two exponential terms with same bases. The original property is : (x^m)/(x^n) = x^m^-^n

It means if the bases are same , then we will just subtract the exponents while dividing two terms.

Using this property:

(a^5)/(a^4) = a^5^-^4 = a^1 = a

and (b^6)/(b^4) = b^6^-^4 = b^2

So,

Answer:

a^5 - a^4 = a1 or a

b^6 - b^4 = b2

put them together and you get ab^2

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An item has a listed price of $75. If the sales tax rate is 3%, how much is the sales tax (in dollars)?

Answers

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Answer:

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+ Sales Tax (3%): $ 2.25

Total Price: $ 77.25

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Answers

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Answers

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Answers

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