Answer:
the similarity statement helps you see that side RQ corresponds to UV, therefore 2x-4 : 5, and VW and QP are corresponding sides
Step-by-step explanation:
set up a proportion, then cross-multiply
2x-4/16 = 5/8
8(2x-4) = 16(5)
x = 7
The length of each side of the kite is 4 cm, 3 cm.
<span>let 'x' be the amount for cat's food and medication
'y' be the amount for dog's food and medication.
since the cost of food and medication for a cat is $5 less than two-thirds of the cost of food and medication for a dog then you'll have the equation as:
x = 2/3y - 5 ------equation 1
knowing that the total is 195 and there are 6 cats and a dog then,
6x + y = 195 -----equation 2
substitute equation 1 to equation 2
6x + y = 195
6(2/3y - 5) + y = 195
distribute 6 to the quantity
4y - 30 + y = 195
4y + y = 195 + 30
5y = 225
y = $45</span>
Factor out 4x first
4x(6x² + x - 1)
factor the rest as normal, knowing that what adds to give the middle term multiplies to give the last term.
4x(2x + 1)(3x - 1)