To solve the problem, we need to use the relation between the angles to find a relation involving x. Then we need to solve for x and use that value to determine the measure of the desired angle.
The diagram shows you ...
... ∠KIJ + ∠JIH = ∠KIH
The problem statement tells you ∠KIJ = ∠JIH, so we can substitute ∠JIH in the above equation to get
... ∠JIH + ∠JIH = ∠KIH
... (4x+3) + (4x+3) = (12x)
... 8x +6 = 12x
... 6 = 4x . . . . . . . subtract 8x
Since we want to know the value of 12x, we can go directly there
... 18 = 12x . . . . . . multiply the above equation by 3
m∠KIH = 18°
Answer:
600in³
Step-by-step explanation:
Answer:
Step-by-step explanation:
4x + 3y = 6 -----------------(I)
4x - y =2 ---------------------(II)
Multiply (II) by (-1) and then add
(I) 4x + 3y = 6
II) *(-1) <u> - 4x + y = - 2 </u> {Now add, x will be eliminated}
4y = 4
y= 4/4
y= 1
Plugin y =1 in equation (I)
4x +3*1 = 6
4x + 3 = 6
4x = 6- 3
4x = 3
x = 3/4
Answer:
(1 - 4x)³
Step-by-step explanation:
The first 2 terms are a difference of cubes and factor in general as
a³ - b³ = (a - b)(a² + ab + b²), thus
1 - 64x³
= 1³ - (4x)³
= (1 - 4x)(1 + 4x + 16x²)
Thus
1 - 64x³ + 48x² - 12x ← factor out 12x from each of the 2 terms
= (1 - 4x)(1 + 4x + 16x²) + 12x(4x - 1) ← factor out - 1 from (4x - 1)
= (1 - 4x)(1 + 4x + 16x²) - 12x(1 - 4x) ← factor out (1 - 4x) from the terms
= (1 - 4x)(1 + 4x + 16x² - 12x)
= (1 - 4x)(1 - 8x + 16x²) ← perfect square
= (1 - 4x)(1 - 4x)²
= (1 - 4x)³ ← in factored form
9 is a square number because when you use the dot diagram, 9 dots form a square. They are in a 3 by 3 square.
I attached how to show this.
If you have any further questions feel free to ask.
Hope this helps.
