<u>Answer</u>:
<u>Explanation</u>:
Given Sides:
- HB = 6
- HD = 6+15 = 21
- HM = 9
- HT = 9 + x
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using all these sides, create similarities equation:
Answer:
Dilation factor of 3
Step-by-step explanation:
First you wil want to find out the the coordinates for each of the shapes:
Regular:
P =9,6
Q =3,6
R =6,3
S =3,3
Prime notation:
P' =3,2
Q' =1,2
R' =2,1
S' =1,1
Then using great old common sense in the picture you will see 3 units go down to 1 unit which will indicate Dilation factor of 3 as the answer!
Hope this helps!
Answer:
A) What was the absolute change from 1970 to 1990?
in 1970 we had $87.32
in 1990 we had $283.16
The absolute change is the direct difference:
$283.16 - $87.32 = $195.84
B) What was the relative change from 1970 to 1990?
Now we need to compare this with the initial value:
Relative change = 100%*(final value - initial value)/initial value.
Relative change = 100%*$195.84/$87.32 = 223.93%
C) What was the absolute change from 1995 to 2000?
in 1995 the price was $351.94
in 2000 the price was $349.69
The absolute change is:
$349.69 - $351.94 = -$2.25
The negative sign means the obvious thing, the price decreased.
D) What was the relative change from 1995 to 2000?
Relative change = 100%*(-$2.25)/($351.94) = -0.64%
15.60 percent and you round it up to the nearest percentage. You get 16 percent.
Answer: option A) 1/3
Justification:
1) The probability that a point chosen at random <span>in the regular hexagon lies in the shaded region is equal to:
area of the shaded region
---------------------------------------
area of the hexagon
2) The hexagon is formed by 6 equal triangles and the shaded area is formed by 2 of those triangles.
3) Therefor,naming x the area of one triangle, the the above fraction is equal to:
area of two triangles 2x
------------------------------- = -------- = 2/6 = 1/3
area of six triangles 6x
And that is the answer: 1/3
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