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3 years ago

Parallel and Transversal Lines

Mathematics

1 answer:

Len [333]3 years ago

6 0

Answer:

Step-by-step explanation:

1) Vertical angles - (G) are the opposite angles formed by two intersecting lines that are congruent because the angles have the same measure

2)Alternate interior angles: (H) Are formed when a transversal line passes

through a pair of parallel lines and formed on opposite sides of the transversal inside the parallel lines.

3) Corresponding angles: F) Two equal angles on the same side of a line

that crosses two parallel lines and on the same side of each parallel line

4) Exterior angles:(A) Are the angles above and below the pair of parallel lines

5) Supplementary angles:(B) Two angles that have measures with a sum

of 180°

6) Alternate Exterior angles:(D) Are formed when a transversal line passes

through a pair of parallel lines and formed on opposite sides of the transversal above and below the parallel lines.

7) Adjacent angles: (C) are pair of angles that share a vertex and one side but do not overlap

8) Complementary angles: (I) Two angles that have measures with a sum 90°

9) Interior angles: (E) are the angles inside the pair of parallel lines

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deff fn [24]

The answer to the question

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3 years ago

Snapdragon plants have a gene that determines the presence of chlorophyll. The dominant allele (C) causes the plant to make chlo

AleksAgata [21]

Answer: i)For X = (0,1) then P(x) = (1/3, 2/3)

ii) Then p=(2/3) as n=8

iii) 0.06828

Step-by-step explanation:

Use binomial distribution:

Probability of being yellow (by having 1 recessive allele) is 2/3. This is a binomial distribution with p=2/3. And since there are 8 selections, our n is 8. So p=(2/3), n=8.

Recall that in binomial distribution P(X=x) = C(n,x) × p^x × (1-p)^n-x.

So for 3 out of 8, it means x=3 and n=8.

Our equation becomes P(exactly three Snapdragon are yellow) = P(X=3) = (8C3) × (2/3)³ × (1/3)5 = 0.06828

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4 years ago

In ΔABC, the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters, respectively.

Irina-Kira [14]

Given the values of the three sides of the triangle, we can apply the Cosine Law to find the angles of the triangle. Recall that for we can express the value of c through the equation below.

$c^{2} = a^{2} + b^{2} - 2abcosC$

Rearranging this equation, we can find the value ∠C as shown below.

$\cos C = \frac{a^{2}+b^{2}-c^{2}}{2ab}$
$C = cos^{-1} (\frac{a^{2}+b^{2}-c^{2}}{2ab})$

We can apply the same reasoning for finding the value of ∠B as shown.

$B = cos^{-1} (\frac{a^{2}+c^{2}-b^{2}}{2ac})$

Plugging in the values of the sides (see image attached) from the given. It will now be straightforward to compute for ∠B and ∠C.

$C = cos^{-1} (\frac{22.5^{2}+18^{2}-13.6^{2}}{2(22.5)(18)})$
$C \approx 37.19$

$B = cos^{-1} (\frac{22.5^{2}+13.6^{2}-18^{2}}{2(22.5)(13.6)})$
$B \approx 53.13$

Answer: ∠C = 37.19° and ∠B = 53.13°

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4 years ago

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Paladinen [302]

Answer:

CLICK THE ADD ATTACHMENT

Step-by-step explanation:

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3 years ago

HELP ME PLEASE!!!

zaharov [31]

The correct answer to this question would be answer choice B.

To convert the decimal 0.56 to a fraction, first set it to a fraction over 100 which would be 56/100.

Then, because the question asks for the fraction to be in simplest form, look for the greatest common factor of the numerator and denominator or 56 and 100.

To find it, list out all of their factors:

56: 1, 2, 4, 7, 8 , 14, 28, 56

100: 1, 2, 4, 5, 10,20,25,50,100

Notice that out of all the factors listed, the greatest common factor listed is 4. Because of this, divide both the numerator and denominator by 4 to simplify your fraction to your answer: 14/25

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3 years ago