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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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Answer:
y-(-20)=1(x-(-10))
Step-by-step explanation:
If you're really in college you should know this, but here's the explanation:
m= <u>-9-(-20)</u>
1-(-10)
= <u>11</u>
11
m = 1
The equation is y-y^1=m(x-x^1)
Replace the y^1, m, and x^1 from the first point
You get y-(-20)=1(x-(-10))
Or simplify that into y+20=x+10
You can also simplify it more but I don't think you need that for that question
Answer:
144 cm²
Step-by-step explanation:
A prism's surface has 2 triangles & 3 rectangles.
In both the triangles , length of :
Perpendicular = 4 cm
Base = 6 cm
So , Area of both triangles = 
In the 3 rectangles ,
Length = 8 cm
Width = 5 cm
So , Area of the rectangles = 
Hence the total surface area of the prism is = 120 + 24 =144 cm²
-5/-7 = 5/7 = 0.71428577142857... The decimal form of the fraction never ends, so 5/7 is not a rational number