1 inch =2.5cm
lenght =30.25×2.5=75.625cm
width = 21×2.5=52.5cm
area of painting = 75.625×52.5=3970.3125cm²
Answer:
Image attached
Step-by-step explanation:
Origin looks to be (0, -1), so move each point out by 2
Answer:
Ah yes rsm.
Anyways, AB is parallel to DE so 72= angle BDE. So BDE+2x+2x=180
72+4x=180
108=4x
x=27
Answer:
(A) the subtraction property of equality
Step-by-step explanation:
Given
The steps in the question
Require
Justify step 2 to 3
Write out step 2:
![-4x+9 = 2x+10](https://tex.z-dn.net/?f=-4x%2B9%20%3D%202x%2B10)
Apply subtraction property by subtracting 2x from both sides
![-4x-2x+9 = 2x-2x+10](https://tex.z-dn.net/?f=-4x-2x%2B9%20%3D%202x-2x%2B10)
![-6x+9 = 10](https://tex.z-dn.net/?f=-6x%2B9%20%3D%2010)
Notice that the above equation is represented in step 3.
<em>Hence, option A answers the question.</em>
We know the distance formula is
![\sqrt{ (x_{2}-x_{1})^2+ (y_{2}-y_{1})^2 }](https://tex.z-dn.net/?f=%20%5Csqrt%7B%20%28x_%7B2%7D-x_%7B1%7D%29%5E2%2B%20%28y_%7B2%7D-y_%7B1%7D%29%5E2%20%7D%20%20%20)
9)
Here A( -4,2) and B(1,4)
So length of AB
= ![\sqrt{(1-(-4))^2+(4-2)^2} =\sqrt{5^2+2^2} =\sqrt{29}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%281-%28-4%29%29%5E2%2B%284-2%29%5E2%7D%20%3D%5Csqrt%7B5%5E2%2B2%5E2%7D%20%3D%5Csqrt%7B29%7D%20%20%20)
Also C(2,1)
Length of BC
= ![\sqrt{(2-1)^2+(-1-4)^2} =\sqrt{1^2+(-5)^2} =\sqrt{26}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%282-1%29%5E2%2B%28-1-4%29%5E2%7D%20%3D%5Csqrt%7B1%5E2%2B%28-5%29%5E2%7D%20%3D%5Csqrt%7B26%7D%20%20%20%20%20)
So we can see that length of AB is not equal to length of BC
11.
Now AB = ![\sqrt{29}](https://tex.z-dn.net/?f=%20%5Csqrt%7B29%7D%20%20)
Also C(2,-1) & D(4,4)
Length of CD
= ![\sqrt{(4-2)^2+(4-(-1)) ^2} =\sqrt{2^2+5^2} =\sqrt{29}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%284-2%29%5E2%2B%284-%28-1%29%29%20%5E2%7D%20%3D%5Csqrt%7B2%5E2%2B5%5E2%7D%20%3D%5Csqrt%7B29%7D%20%20%20)
Yes AB = CD