Answer:
A. Similar using SAS; ∆ABC ~ ∆DFE
Step-by-step explanation:
m<B of ∆ABC = m<F of ∆DFE
AB corresponds to DF
AB/DF = 12/8 = 3/2
BC corresponds to FE
BC/FE = 24/16 = 3/2
Thus, the ratio of the corresponding sides of both triangles are the same. Therefore, both triangles has two sides that are proportional to each other, and also had an included corresponding angles that are congruent to each other.
By the SAS criterion, we can conclude that both triangles are similar to each other. That is, ∆ABC ~ ∆DFE
Answer:
0.+.20.=.40Step-by-step explanation:
The area of a rectangle is easy to compute.
Area = length times height
Area = 8 cm * 4 cm = 32 square centimeters
Answer:
7.3%
Step-by-step explanation:
Given:
<em>Formula for Rate of interest </em>
:
![R=\dfrac{i}{Pt}](https://tex.z-dn.net/?f=R%3D%5Cdfrac%7Bi%7D%7BPt%7D)
Where
is the rate of interest.
dollars is the loan and
years is the time for which interest is to be paid
![P =\$690\\t=3\ years\\i=\$151.11](https://tex.z-dn.net/?f=P%20%3D%5C%24690%5C%5Ct%3D3%5C%20years%5C%5Ci%3D%5C%24151.11)
To find:
![R=?](https://tex.z-dn.net/?f=R%3D%3F)
Solution:
Putting the given values in the formula:
![R=\dfrac{151.11}{690 \times 3}\\\Rightarrow R=\dfrac{151.11}{2070}\\\Rightarrow R=0.073](https://tex.z-dn.net/?f=R%3D%5Cdfrac%7B151.11%7D%7B690%20%5Ctimes%203%7D%5C%5C%5CRightarrow%20R%3D%5Cdfrac%7B151.11%7D%7B2070%7D%5C%5C%5CRightarrow%20R%3D0.073)
Multiply the above value with 100 to find the percentage.
i.e.
![R=0.073\times 100 = \bold{7.3\%}](https://tex.z-dn.net/?f=R%3D0.073%5Ctimes%20100%20%3D%20%5Cbold%7B7.3%5C%25%7D)
Therefore, the answer is <em>7.3%</em>
Answer:
sorry but i need the points
Step-by-step explanation: