Ask question

Ask question

All categories

2 years ago

11

5.

1 answer:

enyata [817]2 years ago

7 0

Answer:

(E) 90°

Step-by-step explanation:

The diagonals of a parallelogram are equal in length if and only if the parallelogram is a rectangle.

Any angle of a rectangle is 90°.

_____

Adjacent angles of a parallelogram are supplementary. If the diagonals are the same length, the triangles formed by either diagonal are congruent with the triangles formed by the other diagonal. This means adjacent angles are congruent. Congruent supplementary angles are 90°.

You might be interested in

Mila and Ava play a number game. Mila gives Ava a number and she does three computations:

Lady bird [3.3K]

Answer:

Step-by-step explanation:

(x-5)2+8 = 92

2x-10+8 = 92

2x = 94

x = 47

7 0

3 years ago

Read 2 more answers

Diane has $334 in her checking account. She writes a check for $112, makes a deposit of $100, and then writes another check for

Dmitrij [34]

Answer:

334 - 112 + 100 - 98

Step-by-step explanation:

5 0

3 years ago

Subtract 3x^2+7x-4 from 8x^2-6x+2

solong [7]

Answer:

5x^2-13x+6

Step-by-step explanation:

(8x^2-6x+2)-(3x^2+7x-4)

8x^2-3x^2-6x-7x+2-(-4)

5x^2-13x+2+4

5x^2-13x+6

3 0

3 years ago

Multiply. Check picture.

VashaNatasha [74]

The answer is $3x^4-13x^3-x^2-11x+6$ .

Solution:

Use algebraic identity: $a^m\times a^n=a^{m+n}$

For example: $x^2\times x=x^{2+1}=x^3$

Given expression $(x^2-5x+2)$ and $(3x^2+2x+3)$ .

To multiply these equations.

$(x^2-5x+2)\times(3x^2+2x+3)$

$=x^2(3x^2+2x+3)-5x(3x^2+2x+3)+2(3x^2+2x+3)$

$=(3x^4+2x^3+3x^2)+(-15x^3-10x^2-15x)+(6x^2+4x+6)$

$=3x^4+2x^3+3x^2-15x^3-10x^2-15x+6x^2+4x+6$

Combine like terms together.

$=3x^4+(2x^3-15x^3)+(3x^2-10x^2+6x^2)-15x+4x+6$

$=3x^4-13x^3-x^2-11x+6$

$(x^2-5x+2)\times(3x^2+2x+3)=3x^4-13x^3-x^2-11x+6$

Hence the answer is $3x^4-13x^3-x^2-11x+6$ .

3 0

3 years ago

Convert 32 degrees F to Celcius and kelvin

aniked [119]

32 degrees F to celcius equals 0

32 degrees F to Kelvin equals 273.15

3 0

4 years ago