The lowest (or least) common denominator also written as LCD is the smallest of all the possible common denominators, where t<span>he </span>denominator<span> is the bottom number in a fraction.
</span>We should find the lowest common denominator of (p+3)/(p^2+7p+10) and <span>(p+5)/(p^2+5p+6).
</span><span>p^2+7p+10 can be written as a product: (p+5)(p+2)
</span>p^2+5p+6 <span>can be written as a product: (p+3)(p+2)
</span>So, we should find the LCD for (p+5)(p+2) and (p+3)(p+2). The smallest possible number that can be divided with both of them is:<span>(p + 5)(p + 2)(p + 3)
Solution C.</span>
Answer:
Step-by-step explanation:
From the given right angle triangle,
The hypotenuse of the right angle triangle is x
With m∠54 as the reference angle,
The unknown is the adjacent side of the right angle triangle.
The opposite side of the right angle triangle is 19
To determine x, we would apply the Sine trigonometric ratio.
Sine θ = opposite side/hypotenuse. Therefore,
Sin 54 = 19/x
x = 19/Sin54 = 19/0.809
x = 23.5 to the nearest tenth.
Answer:
Option A.
Step-by-step explanation:
From the figure attached,
Given : ΔABC ~ ΔDEC
By the property of similarity,
"Corresponding sides of the similar triangles are proportional"
Since, 
6x = 42(32 - x)
6x = 1344 - 42x
6x + 42x = 1344
48x = 1344
x = 
x = 28 units
Therefore, Option (A). x = 28 units will be the answer.
Answer:
this what i got
Step-by-step explanation:
1. x = 5.5
2. 14.2
3. 3.6
