The answer is 48 because when you split it in half you get 48
Based on the calculations, the scale factor for this dilation is equal to 1/3.
<h3>How to determine the scale factor for this dilation?</h3>
First of all, we would use the distance formula to find the length of side QR and Q'R' as follows:
Distance = √[(x₂ - x₁)² - (y₂ - y₁)²]
Substituting the given points into the formula, we have;
Distance QR = √[(5 - (-1))² + (0 - 0)²]
Distance QR = √[(5 + 1)² + (0)²]
Distance QR = √[6² + 0]
Distance QR = √36
Distance QR = 6 units.
For side Q'R', we have:
Distance Q'R' = √[(1 - (-1))² + (2 - 2)²]
Distance Q'R' = √[(1 + 1)² + (0)²]
Distance Q'R' = √[2² + 0]
Distance Q'R' = √4
Distance Q'R' = 2 units.
Now, the scale factor for this dilation is given by:
Scale factor = Q'R'/QR
Scale factor = 2/6
Scale factor = 1/3.
Read more on scale factor here: brainly.com/question/17079307
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Answer:
x=4
Step-by-step explanation:
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Answer:
18 varieties
Step-by-step explanation:
Total varieties of flowers that she planted = 20
100% = 20
1% = 20 ÷ 100 = 0.20
90% = 0.20 x 90 = 18
Answer:
x = 4 and y = 1
Step-by-step explanation:
The given equations are :
2x+5y = 13 ...(1)
3x-2y = 10 ...(2)
The elimination method is appropriate to solve the given system of equations.
Multiply equation (1) by 3 and equation (2) by 2.
6x+15y=39 ...(3)
6x-4y=20 ...(4)
Subtract equation (3) from (4).
6x-4y-(6x+15y) = 20-39
6x-4y-6x-15y = -19
-19y=-19
y = 1
Put the value of y in equation (1).
2x+5y = 13
2x+5=13
2x=8
x = 4
So, the solution of the given equations are x = 4 and y = 1.