Given the coordinates of the image of line segment RT to be R'(-2,-4) and T'(4.4), if the image produced was dilated by a scale factor of 12 centered at the origin, to get the coordinate of the end point, we will simply multiply the x and y coordinates of by the factor of 12 as shown:
For R' with coordinate R'(-2,-4), the coordinates of endpoint of the pre-image will be:
R = 12R'
R = 12(-2, -4)
R = (-24, -48)
For T' with coordinate T'(4,4), the coordinates of endpoint of the pre-imagee will be:
T = 12T'
T = 12(4, 4)
T = (48, 48)
Hence the coordinate of the endpoint of the preimage will be at R(-24, -48) and T(48, 48)
Answer:
24
/5
Step-by-step explanation:
The way I think about areas of sectors is a fraction of the pie. You know what percentage of the "pie" (in this case, circle) you want, because they give you the angle of the sector and you know a circle always has 360°. So technically, you're trying to find 48/360 th of the entire area (36
). If you're using a calculator, it doesn't matter if you simplify the fraction, but if you're doing it by hand simplifying makes everything a lot easier.
The equation will be:
Area = 24/180 × 36
= 2/15 × 36
= 72
/15
= 24
/5
I hope this helped! Also, in Khan Academy, when you get an answer wrong/right, you can view their explanation by clicking "hint" or sometimes "see how we did it" shows up.
Step-by-step explanation:
$864 of 4%
864/100 x 4
=8.64 x 4
=34.56
Therefore, the total income tax deduction is 34.56.
Answer:
ASA
Step-by-step explanation:
They give us one pair of angles and one pair of congruent sides for it to be ASA we need an additional angle but on the other side from where the last angle was. By vertical angles proof we can see that the angles at the intersection will be congruent so you have one angle then a side then another angle
Hope This Helps :)
Answer:
A = 2, B = 3 and C = 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x + 3y = 2 ( subtract 2x from both sides )
3y = - 2x + 2 ( divide all terms by 3 )
y = -
x +
← in slope- intercept form
with slope m = - 
Parallel lines have equal slopes, thus
y = -
x + c ← is the partial equation
To find c substitute (2, 0) into the partial equation
0 = -
+ c ⇒ c = 
y = -
x +
← in slope- intercept form
Multiply through by 3
3y = - 2x + 4 ( add 2x to both sides )
2x + 3y = 4 ← in standard form
with A = 2, B = 3 and C = 4