Answer: 128 inches
Step-by-step explanation:
let's start with the perimeter: the perimeter is the total length to the sides/edges of a shape.
since we're dealing with a rectangle, there will be 4 sides
two lengths & two widths
so 48+48+16+16=128 inches
Answer:
Given:
To find:
Step-by-step explanation:
The true comparison is the typical value is greater in set A. The spread is greater in set B.
<h3>What is the true comparison?</h3>
Spread is used to measure the variability of a data set. Range can be used to measure spread. Range is the difference between the largest number and the smallest number in the dataset.
- Spread of set A = 7 - 5 = 2
- Spread of set B = 8 - 1 = 7
The median can be used to measure the typical value of the dataset. Median is the number at the center of the data set.
- Median of set A = 6
- Median of set B = 4
To learn more about median, please check: brainly.com/question/14746682
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<span> (x + 3) • (x - 12)
</span>
The first term is, <span> <span>x2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -9x </span> its coefficient is <span> -9 </span>.
The last term, "the constant", is <span> -36 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -36 = -36</span>
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is <span> -9 </span>.
<span><span> -36 + 1 = -35</span><span> -18 + 2 = -16</span><span> -12 + 3 = -9 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 3
<span>x2 - 12x</span> + 3x - 36
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-12)
Add up the last 2 terms, pulling out common factors :
3 • (x-12)
Step-5 : Add up the four terms of step 4 :
(x+3) • (x-12)
Which is the desired factorization
Final result :<span> (x + 3) • (x - 12)</span>
x=6
(6x+4) = (8x-8)
∠3 and ∠6 have to be equal since they are opposite interior angles (these angles are always equal to each other). Opposite interior angles prove that two lines are parallel if they are equal, so you just set them equal to each other and solve for x.
(6x+4) = (8x-8)
-6x -6x
4 = (2x-8)
+8 +8
12 = 2x
/2 /2
6 = x
CHECK
(6x+4) = (8x-8)
(6[6]+4) = (8[6]-8)
(36+4) = (48-8)
40 = 40
