Triangle ABC has vertices at A(3, 8) , B(11, 8) , and C(9, 12) . Triangle FGH has vertices at F(1, 3) , G(9, 3) , and H(7, 7) .
Alex17521 [72]
Hmm, (x,y)
x is horizontal or left right
y is vertical or up down
so
we see that A to F is move left 2 and down 5
B to G is left 2 and down 5
C to H is left 2 and down 5
so translatete ABC left 2 and down 5 and
translate FGH right 2 and up 5
not 1st option
2nd works
3rd works
4th is false
2nd and 3rd
Answer:
D) q + d = 330
0.25q + 0.1d = 6
Step-by-step explanation:
Let q= numbers of quarters
d = number of dimes
q + d = 33 ...........(1)
q = 33 - d
xq + yd = 6 ..........(2)
We will consider the options to know the correct answer
From option A
q +d = 6
25q + 10d = 33
This is wrong
Option B
q + d = 60
0.25q + 0.1d = 33
This is also wrong
Option C
q+d = 33
25q + 10d = 6
Put q = 33 -d in equation 2
25(33 - d) + 10q = 6
825 - 25d + 10d = 6
825 - 15d = 6
-15d = 6-825
-15d = -819
d = -819/-15
d= 54.6
This is also wrong because d exceeds the combination.
Option D
q+d = 33
0.25q + 0.1d = 6
Put q = 33 -d in equation 2
0.25(33 - d) + 0.1d = 6
8.25 - 0.25d + 0.1d = 6
8.25 - 0.15d = 6
-0.15d = 6 - 8.25
-0.15d = -2.25
d = -2.25/ -0.15
d = 15
q = 33 - 15
q = 18
This is correct
Answer:
110%
Step-by-step explanation:
1 2/20=22/20 which = 110%
Correct. 0.51 × 2.427 = 51 × 2427 / 10×1000
Answer: 2:1
<u>Step-by-step explanation:</u>
Volume of a pyramid (V) = 
For simplicity, let's assume that l = w = h, then 
Pyramid 1 has a volume of 64:
![64=\dfrac{1}{3}s^3\\\\3\times 64=s^3\\\\\sqrt[3]{3\times 64}=\sqrt[3]{s^3} \\\\4\sqrt[3]{3} =s](https://tex.z-dn.net/?f=64%3D%5Cdfrac%7B1%7D%7B3%7Ds%5E3%5C%5C%5C%5C3%5Ctimes%2064%3Ds%5E3%5C%5C%5C%5C%5Csqrt%5B3%5D%7B3%5Ctimes%2064%7D%3D%5Csqrt%5B3%5D%7Bs%5E3%7D%20%20%5C%5C%5C%5C4%5Csqrt%5B3%5D%7B3%7D%20%3Ds)
Pyramid 2 has a volume of 8:
![8=\dfrac{1}{3}s^3\\\\3\times 8=s^3\\\\\sqrt[3]{3\times 8}=\sqrt[3]{s^3} \\\\2\sqrt[3]{3} =s](https://tex.z-dn.net/?f=8%3D%5Cdfrac%7B1%7D%7B3%7Ds%5E3%5C%5C%5C%5C3%5Ctimes%208%3Ds%5E3%5C%5C%5C%5C%5Csqrt%5B3%5D%7B3%5Ctimes%208%7D%3D%5Csqrt%5B3%5D%7Bs%5E3%7D%20%20%5C%5C%5C%5C2%5Csqrt%5B3%5D%7B3%7D%20%3Ds)
Comparing the sides of Pyramid 1 to the sides of Pyramid 2:
![\dfrac{4\sqrt[3]{3}}{2\sqrt[3]{3}}=\dfrac{2}{1}\implies \text{scale factor of }2:1](https://tex.z-dn.net/?f=%5Cdfrac%7B4%5Csqrt%5B3%5D%7B3%7D%7D%7B2%5Csqrt%5B3%5D%7B3%7D%7D%3D%5Cdfrac%7B2%7D%7B1%7D%5Cimplies%20%5Ctext%7Bscale%20factor%20of%20%7D2%3A1)
