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:
$887,761.38
Step-by-step explanation:
The principal amount the home is valued is $375,000 and it increases at a rate of 9% a year which is 0.09 and the amount of time it grew is 10 years. Therefore:
After 10 years the house is worth $887,761.38 if this trend continues
<span>22.5+7 (n-3.4)=19.8n
We simplify the equation to the form, which is simple to understand
<span>22.5+7(n-3.4)=19.8n
Reorder the terms in parentheses
<span>22.5+(+7n-23.8)=19.8n
Remove unnecessary parentheses
<span>+22.5+7n-23.8=+19.8n
We move all terms containing n to the left and all other terms to the right.
<span>+7n-19.8n=-22.5+23.8
We simplify left and right side of the equation.
<span><span>-12.8n=+1.3
</span>We divide both sides of the equation by -12.8 to get n.
<span>n=-0.1015625</span></span></span></span></span></span></span>
The decimal for this fraction is 5.5
Answer:
(12÷2)×8
Step-by-step explanation:
