What is the measure of ZA? B
80°
155
С
А
C.
a. 105
b. 750
55°
25°
d.

What is the measure of ZA?

B
80°
155
С
А
C.
a. 105
b. 750
55°
25°
d.

Solved

Show answers

Ответ:

lourdess505

21.08.2020

Mathematics

Side of square = $(3x-2)\,\,units$

Dimensions of rectangle are $(5x-4y)\,\,units,(5x+4y)\,\,units$

Step-by-step explanation:

Given: Area of square is 9x^2-12x+4 and area of rectangle is 25x^2-16y^2

To find: dimensions of the square and rectangle by factoring the area expression completely.

Solution:

$9x^2-12x+4=9x^2-6x-6x+4\\=3x(3x-2)-2(3x-2)\\=(3x-2)(3x-2)$

Area of square is given by (side)^2

So,

(side)^2=(3x-2)^2

Hence, side of square = $(3x-2)\,\,units$

$25x^2-16y^2=(5x)^2-(4y)^2\\=(5x-4y)(5x+4y)$

(Use formula a^2-b^2=(a+b)(a-b) )

Also, area of rectangle = length × breadth

So,

length × breadth = (5x-4y)(5x+4y)

So, dimensions of rectangle are $(5x-4y)\,\,units,(5x+4y)\,\,units$

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What is the measure of ZA? B 80° 155 С А C. a. 105 b. 750 55° 25° d.