Answer:
x=9.2394
Step-by-step explanation:
It's tan we're going to use because we're looking for the opposite and we already have the angle
Therefore, x will be
Tan 57= x/6
1.5399= x/6
x= 6*1.5399
x= 9.2394
You can approximate it to the nearest whole number which will be 9
I think it’s 2/7=8/28 1/4=7/28
Answer:
(a) reduction
(b) 1/2
Step-by-step explanation:
The image figure A'B'C'D' is smaller than the original figure ABCD, so the dilation is a <em>reduction</em>.
Each of the points A'B'C'D' is half as far from the origin as the original points ABCD, so the scale factor is 1/2.
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Draw lines C'C and D'D. You will see they meet at the origin, which is the center of dilation. Then look at how far the points are along those lines. C' is one grid square diagonal along the line; C is 2 grid square diagonals along that line, so is twice as far from the origin. That is, C' is 1/2 the distance of C, so represents a reduction by a scale factor of 1/2.
The same distance considerations are observed along the line D'D. The point D' is the diagonal of a 2x1 rectangle from the origin (A distance of √5.) The point D is the diagonal of a 4x2 rectangle from the origin, so is twice as far. Once again D' is 1/2 the distance of D, so represents a reduction by a factor of 1/2.
So 90 is 4/5 of a number.
4/5n=90
4n=450
n=450/4
n=112.5
