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Nat2105 [25]
3 years ago
7

Which of the following best describe(s) the diagonals of a rectangle. Select all that apply.

Mathematics
2 answers:
marin [14]3 years ago
7 0
The answers are congruent and intersecting
Mumz [18]3 years ago
6 0

Answer:  The correct options are (a) congruent and (d) intersecting.

Step-by-step explanation:  We are to select the correct options that best describes the diagonals of a rectangle.

<u>RECTANGLE:</u>  A rectangle is a quadrilateral in which

(i) the adjacent sides are perpendicular,

(ii) opposite sides are parallel and congruent,

(iii) Each angle is a right angle,

(iv) The diagonals are congruent and bisect each other.

For example, in the attached figure, ABCD is a rectangle.

The diagonals AC and BD are congruent and they intersect at the point 'O' such that AO = OC, BO = OD.

Therefore, the diagonals of a rectangle are congruent and intersecting.

Thus, the correct options are (a) and (d).

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What is the additive identity of a
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a+0 (or just 0)

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Read 2 more answers
A letter is randomly chosen from the word EXCELLENT. Write each probability as a fraction, decimal, and a percent.
Sergio [31]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete. A complete question is in the form:

A letter is chosen at random from the letters of the word EXCELLENT. Find the probability that letter chosen is i) a vowel ii) a consonant.

Solution:

The total number of letters found in the word EXCELLENT = 9

i) The number of vowel letters found in the word EXCELLENT = {E, E, E} = 3

Hence, probability that letter chosen is a vowel = number of vowels / total number of letters = 3 / 9 = 1 / 3

probability that letter chosen is a vowel = 1/3 = 0.333 = 33.3%

ii) The number of consonant letters found in the word EXCELLENT = {X, C, L, L, N, T} = 6

Hence, probability that letter chosen is a consonant = number of consonant / total number of letters = 6 / 9 = 2 / 3

probability that letter chosen is a consonant = 2/3 = 0.667 = 66.7%

7 0
3 years ago
(8p - 2) (6p+2) <br><br> help plz
qaws [65]

Answer:

48p^2+2p-4

Step-by-step explanation:

We can use the FOIL method to expand two multiplied binomials. It states that (a+b)(c+d)=ac+bc+ac+bd. The FOIL method stands for First(first terms) outer(outer terms) inner(inner terms) last(last terms).

So, we can expand our binomials now!

(8p-2)(6p+2)=(8p)(6p)-2(6p)+(8p)(2)-2(2)=48p^2-12p+14p-4=\boxed{48p^2+2p-4}

8 0
3 years ago
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