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3 years ago

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.

RECTANGLE: 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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WILL GIVE BRAINLIEST

mafiozo [28]

Answer:

(6x - 1) • (2x + 9)

Step-by-step explanation:

STEP

Equation at the end of step 1

((22•3x2) + 52x) - 9

STEP

Trying to factor by splitting the middle term

2.1 Factoring 12x2+52x-9

The first term is, 12x2 its coefficient is 12 .

The middle term is, +52x its coefficient is 52 .

The last term, "the constant", is -9

Step-1 : Multiply the coefficient of the first term by the constant 12 • -9 = -108

Step-2 : Find two factors of -108 whose sum equals the coefficient of the middle term, which is 52 .

-108 + 1 = -107

-54 + 2 = -52

-36 + 3 = -33

-27 + 4 = -23

-18 + 6 = -12

-12 + 9 = -3

-9 + 12 = 3

-6 + 18 = 12

-4 + 27 = 23

-3 + 36 = 33

-2 + 54 = 52 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and 54

12x2 - 2x + 54x - 9

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (6x-1)

Add up the last 2 terms, pulling out common factors :

9 • (6x-1)

Step-5 : Add up the four terms of step 4 :

(2x+9) • (6x-1)

Which is the desired factorization

HOPE IT HELPS! :))

8 0

2 years ago

two pirate ships leave the same port at the same time. The first ship travels due North at a constant speed while the second shi

NemiM [27]

Step-by-step explanation:

the speed of the first ship is 20 mph

and the second ship is 15 mph

3 0

3 years ago

Determine the slope of the line given the graph 3,-3 and 0,2

BigorU [14]

Answer:

$\displaystyle m = \frac{-5}{3}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinate Planes

Reading a coordinate plane
Coordinates (x, y)

Slope Formula: $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

Step-by-step explanation:

Step 1: Define

Identify points

Point (0, 2)

Point (3, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m = \frac{2 + 3}{0 - 3}$
Simplify: $\displaystyle m = \frac{-5}{3}$

7 0

3 years ago

Which equation is an identity?

spayn [35]

7z + 10 - z = 8z - 2(z - 5)
7z + 10 - z = 8z - 2z + 10
6z + 10 = 6z + 10
6z - 6z = 10 - 10
0 = 0

Therefore, 7z + 10 - z = 8z - 2(z - 5)

3 0

3 years ago

Scaling up a 4 inch by 6 inch image by 50% results in which of the following image size

Monica [59]

50% or 1/2 of 4 is 2 50% or 1/2 of 6 is 3 so then just add them to the respective number since its going up by 50% or 2 in by 3 in \[\frac{ 6 }{ 9}\]

6 0

3 years ago

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