The expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81
<h3>Properties of a triangle</h3>
From the question, we are to determine the expression that expresses all possible lengths of segment AB
From one of the properties of a triangle,
The <u>third side</u> of any triangle is greater than the difference of the other <u>two sides</u>; and the <u>third side</u> of any triangle is lesser than the sum of the <u>two other sides</u>
Then, we can write that
AB < 27 + 54
and
AB > 54 - 27
Putting the two inequalities together, we get
54 - 27 < AB < 27 + 54
27 < AB < 81
Hence, the expression that expresses all possible lengths of segment AB is 27 < AB < 81. The correct option is the second option 27 < AB < 81
Learn more on the Properties of a triangle here: brainly.com/question/1851668
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8x+6 would still be 8x+6 because you cannot add 6 to 8x. remember, 8x means x, 8 times.
The answer for the above mentioned problem is JL = 12.5
Step by step explanation:
Given:
JM = 8
KM = 6
To Find:
JL = ?
Formula to be used:
= JM x ML
In order to find " JL" we must first find "ML",
= JM x ML
= 8 x ML
36 = 8 x ML
36/8 = ML
ML = 4.5
Now JL = 4.5+8
= 12.5
Thus the value of JL = 12.5
Answer:
Value of b = 
=1.25.
Step-by-step explanation:
Direct Variation states that a relationship between two variables in which one is a constant multiple of the other.
*if one variable changes the other changes in proportion to the first.
*If a is directly proportional to b i.e,
then it is of the form
a = kb ;where k is constant variation.
Given: a varies directly as b;
then, by definition of direct variation;
we have;
.....[1]
Substitute the value of a =28 and b =7 to solve for k;
Divide both sides by 7 we have;
Simplify:
k =4
now, find b using same method when a =5;
then;
after substituting the value of a = 5 and k=4 in [1] ;
Divide by 4 to both sides we get;
Therefore, the value of b = =1.25
