Answer:
The scale factor was used in the dilation is 3
Step-by-step explanation:
Dilation is a kind of transformation that changes the size of figures
Image of a figure by dilation and the figure are similar
If a triangle dilated by a scale factor k then its image is similar to it, and the constant ratio between their corresponding sides is equal to k
∵ Δ ABC is dilated to form Δ DEF
∴ Δs ABC and DEF are similar
- That mean their corresponding sides have constant ratio
equal the scale factor of dilation
∴ 
Size of Δ DEF is greater than size of Δ ABC, that means k > 1
∵ AC = 2 units
∵ DF = 6 units
∵ 
∴ 
∴ 3 = k
∵ The scale factor of dilation is equal to the constant ratio k
∵ k = 3
∴ The scale factor was used in the dilation is 3
Answer:
$5,591.46
Step-by-step explanation:
Lets use the compound interest formula provided to solve this:
<em>P = initial balance</em>
<em>r = interest rate (decimal)</em>
<em>n = number of times compounded annually</em>
<em>t = time</em>
<em />
First, change 2.5% into a decimal:
2.5% -> 
-> 0.025
Since the interest is compounded semiannually, we will use 2 for n. Lets plug in the values now:
The amount in the account after 4.5 years is $5,591.46
A fraction is in simplest form if the top and bottom have no common factors other than 1. In other words, you cannot divide the top and bottom any further and have them still be whole numbers.
Answer:
- A. 3x° + (8x - 20)° = 90°
Step-by-step explanation:
The two given angles are complementary and sum to 90°
Therefore correct choice is A.
Answer:
miss him :(
Step-by-step explanation:
