Answer:
BM=CM bc of the definition of midpoint
AB =AC bc of the def of an isosceles triangle
and angle B = angle D becasur corresponding parts
Step-by-step explanation:
The length and the width of the rectangle are 20 and 14 inches respectively
<h3>How to find the length and width?</h3>
The given parameters are:
Length = 6 + Width
Perimeter = 68 inches
The perimeter of a rectangle is calculated as:
Perimeter = 2 * (Length + Width)
So, we have:
2 * (Length + Width) = 68
Divide both sides by 2
Length + Width = 34
Substitute Length = 6 + Width in Length + Width = 34
6 + Width + Width = 34
Evaluate the like terms
2 * Width = 28
Divide both sides by 2
Width = 14
Substitute Width = 14 in Length = 6 + Width
Length = 6 + 14
Evaluate
Length = 20
Hence, the length and the width of the rectangle are 20 and 14 inches respectively
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Answer:
B
Step-by-step explanation:
ABD (half of the rectangle) is a right-angled triangle.
so, Pythagoras applies.
c² = a² + b²
c is the Hypotenuse (the baseline opposite of the 90 degree angle) and in our case the line BD.
a and b are the 2 sides enclosing the 90 degree angle. in our case here the lines AD and AB.
so,
BD² = AD² + AB² = (6-1)² + (5-2)² = 5² + 3² = 25 + 9 = 34
BD = sqrt(34)
Answer:
x= -19
Step-by-step explanation:
-3 + x = -22
Add 3 to each side
-3+3 +x = -22 +3
x = -19
