Answer:
x = 2.25
Step-by-step explanation:
-9(x - 5) = x + 22 1/2
Distribute the nine and then add 9x to both sides
-9x + 45 = x +22 1/2
+ 9x + 9x
Then try to get x alone
45 = 10x + 22 1/2
-22 1/2 -22 1/2
22.5 = 10x

2.25 = x
The area of the given polygon is 1830 cm².
<h3>What is a polygon?</h3>
A polygon is a closed more than two-sided and can be made up of a finite number of straight line segments and is a type of planar figure in geometry.
Each line of the polygonal circuit's segments is referred to as its edges or sides.
We know the area of a square is (side)² and the area of a rectangle is (length×width).
From the given diagram we can think of this polygon as a square having a side length of 46cm and a rectangle having a width (30 - 14) = 16cm and length 21cm, And subtract the area of the rectangle from the area of the square which is,
= (46×46) cm² - (16×21) cm².
= (2166 - 336) cm².
= 1830 cm².
learn more about polygons here :
brainly.com/question/24464711
#SPJ1
<span><span>3+<span>xx</span></span>=19 </span>
<span /><span><span><span>x2</span>+3</span>=19 </span>
<span /><span>x2+3−3=<span>19 </span></span>
<span><span>−3</span></span><span><span><span><span><span>x2</span>=16</span></span></span></span>
<span><span><span><span /><span>x=<span>±<span>√16</span></span></span></span></span></span>
<span><span><span><span><span><span /></span></span></span></span></span>x = <span><span><span><span>4</span> or </span></span>x </span>= <span>−<span>4</span></span>
Expand the binomial first, then distribute the 4:
4 (<em>x</em> + 1)² = 4 (<em>x</em> ² + 2<em>x</em> + 1)
… = 4•<em>x</em> ² + 4•2<em>x</em> + 4•1
… = 4<em>x</em> ² + 8<em>x</em> + 4
Answer:
12c + 14d - 4
Step-by-step explanation:
16d + 20c + 5d -7 - 8c - 7d + 3
Simplify the expression
__________________________
To solve, we need to first take in mind the fact that there are different like terms within this expression. Like terms are numbers or values that end in different symbols, such as variables or exponents. Since we are filled with variables such as c and d. We can do as followed :
Combine the "d" like terms :
16d + 5d - 7d
21d - 7d
14d
Combine the "c" like terms :
20c - 8c
12c
Combine the constants :
-7 + 3
-4
Now add all of the values together to get the final expression.
12c + 14d - 4