The two numbers that multiply to 196 and add to -28 are: -14 and -14.
-14 * -14 = 196
-14 + -14 = -28
The inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF
<h3>Inequalities </h3>
From the question, we are to determine which of the given inequalities explains why the three segments cannot be used to construct a triangle
From the given information,
Line DE is about half the length of line DF
That is,
ED = 1/2 DF
Also,
Line FE is about one-third of the length of line DF
That is,
EF = 1/3 DF
Then, we can write that
ED + EF = 1/2DF + 1/3DF
ED + EF = 5/6 DF
Since,
5/6 DF < DF
Then,
ED + EF < DF
Hence, the inequality that explains why the three segments cannot be used to construct a triangle is ED + EF < DF
Learn more on Inequalities here: brainly.com/question/1447311
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Perimeter is adding all 4 sides together.
To find the length and width divide total perimeter by 2:
21 / 2 = 10.5
We now know the length of 1 side and the width of 1 side need to equal 10.5.
Since the original piece was a square we also know the width needs to equal 1/2 of the length.
So we have L + 1/2L = 10.5
Add the common terms 1 L + 1/2 L = 1 and 1/2 L
To Find L divide 10.5 by 1-1/2, which equals 7
To find the width subtract 7 from 10.5, which equals 3.5
So the paper is now 3.5 inches by 7 inches.
X= number of nickels
3x= number of dimes
Each nickel is $0.05 and each dime is $0.10. Multiply each coins monetary value by the quantity of each. Add them equal to the total $9.10.
(0.05 * x) + (0.10 * 3x)= 9.10
multiply inside parentheses
0.05x + 0.3x= 9.10
add
0.35x= 9.10
divide both sides by 0.35x
x= 26 nickels
DIMES
3x= 3(26)= 78 dimes
CHECK:
(26 nickels * 0.05) + (78 dimes * 0.10)= 9.10
$1.30 + $7.80= $9.10
$9.10= $9.10
ANSWER: There are 26 nickels and 78 dimes.
Hope this helps! :)
