Solve and graph the absolute value inequality: |2x + 4| > 8.
2 answers:
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Answer:
(1) Area of second triangle= 50 cm^2.
(2) Area of ΔABC=98 cm^2.
and Area of ΔDFG=175 cm^2.
Step-by-step explanation:
<em>" For two similar triangles the ratio of sides is equal to the ratio of square of their areas".</em>
i.e. if a,b are the corresponding sides of two similar triangles and let A and B denote the area of two triangles then we have the relation as:
(1)
for the first question:
we have a=2, b=5.
A=8 cm^2.
Hence,
B=50 cm^2.
Hence, the area of second triangle is 50 cm^2.
(2)
In second option we have:
a=6 and b=5.
A-B=77 cm^2.
A=77+B
Hence area of second triangle i.e. ΔDFG is 175 cm^2.
and area of first triangle i.e. ΔABC=175-77=98 cm^2.
Answer:
The area of the rectangle in terms of 'x' = 13x
Step-by-step explanation:
- Perimeter = 30 cm
- Length = x cm
Using the perimeter formula to find the width w.
Dividing both sides by 2
as P = 30 cm
cm
Using the formula of the rectangle area
substitute w = 13 and l = x in the formula
Therefore, the area of the rectangle in terms of 'x' = 13x