a dilation with a scale factor of 4, is multiplication by 4 each side, so we need the measure of the side CD and then multiply by 4 to find C'D'
we can notice tht length of CD, is 3 squares,multiplying by 4 the new length is 3x4= 1 2 squares
Answer:
Step-by-step explanation:
Given the equation ![\frac{1}{3}(x+9) = -12](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%28x%2B9%29%20%3D%20-12)
Step 1;
Expand the bracket at the right hand side of the equation to have:
![\frac{1}{3}x +\frac{1}{3}(9) = -12\\\frac{1}{3}x+3=-12\\subtracting\ 3\ from\ both\ sides\\\frac{1}{3}x+3-3=-12-3\\\frac{1}{3}x=-15\\](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx%20%2B%5Cfrac%7B1%7D%7B3%7D%289%29%20%3D%20-12%5C%5C%5Cfrac%7B1%7D%7B3%7Dx%2B3%3D-12%5C%5Csubtracting%5C%203%5C%20from%5C%20both%5C%20sides%5C%5C%5Cfrac%7B1%7D%7B3%7Dx%2B3-3%3D-12-3%5C%5C%5Cfrac%7B1%7D%7B3%7Dx%3D-15%5C%5C)
Taking the reciprocal of both sides:
![\frac{3}{x} = \frac{-1}{15} \\ cross\ multiplying\\-x =45\\x=-45](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7Bx%7D%20%3D%20%5Cfrac%7B-1%7D%7B15%7D%20%5C%5C%20cross%5C%20multiplying%5C%5C-x%20%3D45%5C%5Cx%3D-45)
Arranging of books is an illustration of permutation and combination
There are 24 different possible arrangements she can make
<h3>How to calculate the number of arrangement</h3>
The number of books is given as:
n = 4
Take the factorial of both sides
n! = 4!
Evaluate
n! = 4 * 3 * 2 * 1
n! = 24
Hence, there are 24 different possible arrangements she can make
Read more about permutation and combination at:
brainly.com/question/1216161
Answer:
20
Step-by-step explanation:
25 + 7x = 165
25 + 7(20) = 165
25 + 140 = 165
Answer:
True
Step-by-step explanation:
The sum of measures of these three angles of any triangle is invariably equal to the straight angle, also expressed as 180 °.
24+30+126=180