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3 years ago

Suppose two parallel lines are cut by a transversal. What angle relationships describe congruent angles in this context?

Mathematics

2 answers:

baherus [9]3 years ago

5 0

Answer:

Corresponding angles

Step-by-step explanation:

In elementary geometry the word congruent is often used as follows.

Two line segments are congruent if they have the same length.

Two angles are congruent if they have the same measure.

Two circles are congruent if they have the same diameter.

The eight angles that are produced as a result of two parallel lines are cut by a transversal will together form four pairs of corresponding angles. Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs.

Tems11 [23]3 years ago

4 0

Answer:

The angle relations that describe congruent angles are:

i. Corresponding angles

ii. Alternate interior angles

Step-by-step explanation:

A transversal is a straight line drawn at an angle, while parallel lines are lines drawn in such a way that the will never meet, even when extended continouosly.

Now drawing a transversal to cut two parallel lines forms four angles with each line. These angles formed has some common properties or relations, when appropriate principles are applied.

Since the sum of all angle at a point is $360^{0}$ , and the sum of angle on a line is $180^{0}$ . Then, the corresponding angles and alternate interior angles formed are congruent angles.

Therefore, the angle relationships to describe congruent angles are; the corresponding angles and alternate interior angles.

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A regression equation is obtained for a collection of paired data. It is found that the total variation is 20.711 , the explaine

galben [10]

Answer:

0.898

Step-by-step explanation:

The formula for the Coefficient of determination = ratio of explained variation to Total variation

From the above question, we have the following values

Explained variation = 18.592

Total variation = 20.711

The coefficient of determination = 18.592 : 20.711

= 18.592/20.711

= 0.8976872194

Approximately ≈ 0.898

Therefore, the coefficient of determination is 0.898

8 0

3 years ago

Question 4(Multiple Choice Worth 1 points) (07.04 LC) Factor completely 49x2 − 9. (7x + 3)(7x − 3) (7x + 3)(x − 3) (7x − 3)(7x −

scoundrel [369]

Answer:

Step-by-step explanation:

We take a look at this expression: $49x^2-9$ and notice that both terms are square numbers. $49x^2=(7x)^2$ and $9=3^2$ .

There is a specific formula that I highly recommend you memorize involving differences of squares. It states that given the difference of squares $a^2-b^2$ , it can always be factored into $(a+b)(a-b)$ .

Here, we can apply that. In this case, a = 7x and b = 3. So:

$49x^2-9=(7x)^2-3^2=(7x+3)(7x-3)$

Thus, the answer is A.

Hope this helps!

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3 years ago

Read 2 more answers

Solve for x. a) 10 b) 12 c) 13 d) 11

Over [174]

Answer:

A : 10

Step-by-step explanation:

4 0

3 years ago

Statistics tutor from this 2 way. frequency which statement is false ?

Tju [1.3M]

<span>statement is false:

D) 15% of her students are in biology...this is false

correct: 5</span>5% of her students are in biology

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2 years ago

50 POINTS. PLZ ANSWER RIGHT

LenKa [72]

Answer:

5 : 6 or $\frac{5}{6}$

Step-by-step explanation:

Given that, I make 5 quarts of tomato sauce from 6 baskets of tomatoes.

Therefore, the ratio of the number of quarts of tomato sauce to the number of the basket of tomatoes will be given by 5 : 6 in the simplest form.

If we want to express the ratio of the number of quarts of tomato sauce to the number of the basket of tomatoes in fraction form then it will be $\frac{5}{6}$ in the simplest form. (Answer)

4 0

2 years ago