Answer:
a. ∆ABC ~ ∆A'B'C'
b. Enlargement
c. Scale factor = 4
Step-by-step explanation:
a. <A corresponds to <A'
<B corresponds to <B'
<C corresponds to <C',
Therefore, the similarity statement would be: ∆ABC ~ ∆A'B'C'
b. The image of the dilation is an enlargement of the original figure because the side lengths of ∆A'B'C are larger than the corresponding side lengths of ∆ABC.
c. Scale factor = the ratio of the corresponding sides
Thus:
Scale factor = A'B'/AB = B'C'/BC = A'C'/AC
Scale factor = 24/6 = 48/12 = 60/15 = 4
Scale factor = 4
Answer:
Both are right.
Step-by-step explanation:
The two are both right.
Multiplication in algebra obeys the cummutative law ( a * b = b * a).
To convert a mixed fraction into an improper fraction, we must follow some steps.
First, we take the whole part and multiply it by the denominator of the fraction.
In this case, we take 2 and multiply it by 8.
Now we add the numerator:
16+3=19
The denominator stays the same:
Hope it helps! :)
Based on the streams of income that Li Wei has, we can calculate that he has a total passive income of <u>$3,010.</u>
Passive income refers to income that is made without a person actively involving themselves in the activity generating the income.
In this scenario, the passive income sources are:
- Stock dividends
- Business investment interest
- Royalties from a novel
Total passive income therefore is:
= 530 + 1,080 + 1,400
= $3,010
In conclusion, the total passive income is $3,010.
<em>Find out more at brainly.com/question/1246309. </em>
Answer:
y= -5x +24
Step-by-step explanation:
<u>Slope-intercept form</u>
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -5, m= -5.
Substitute m= -5 into the equation:
y= -5x +c
To find the value of c, substitute a pair of coordinates that the line passes through into the equation:
When x= 3, y= 9,
9= -5(3) +c
9= -15 +c
c= 9 +15
c= 24
Thus, the equation of the line is y= -5x +24.
