Answer:
Option B. 1/2
Step-by-step explanation:
The smaller triangle is a dilation of the larger triangle with the center of dilation at (2, -1).
we have to calculate the scale factor of the dilation.
One point of the large triangle is (-4, -1). After dilation it has become (-1, -1) of the smaller one.
If we consider the x coordinates of the point x = -4 has reduced down to -1 therefore scale factor = side of small triangle/side of the large triangle = (2 + 1)/(2 + 4) = 3/6 = 1/2
Therefore Option B. 1/2 is the answer.
Answer:
f. sqrt 7 meters
Step-by-step explanation:
we use Pythagoras' theorem here,
let the unknown side be x,
therefore,
=> 3² + x² = 4²
=> x² = 16 - 9
=> x = √7 m
Answer:
18 pounds of flour
Step-by-step explanation:
Add your wright of flout, 1.3+1.7, getting 3lbs. Then multiply 3 by 6 because thats the number of baskets. Getting 18lbs. of flour
Remember P.E.M.D.A.S
57 - 12 ÷ 4 · 3
= 57 - 3 · 3
= 57 - 9
= 48
We need to convert the mixed fractions into improper fractions.
1*8 = 8
8+7 = 15
15/8
2*3 = 6
6+1 = 7
7/3
Now we can finish and multiply

15*7 = 105
8*3 = 24
Simplify 105/24
105/24
24*4 = 96
105 - 96 = 9
4 is the whole number, and 9 is the numerator.
4 9/24
Simplify that,
9/3 = 3
24/3 = 8
4 3/8
Answer: