We can see that OW/IG = 5/15 = 1/3 and CW/PG = 7/21 = 1/3. So we have two ratios that result in the same value (1/3). We would need to know if CO/IP is also 1/3 as well, so we can use the SSS similarity theorem. However we don't have that information. So we can't use SSS.
Alternatively, if we knew that angle CWO = angle PGI, then we can use the SAS similarity theorem. But that bit of info isn't given to us, so we can't use SAS either.
AA can't be used because we don't know anything about any pairs of angles.
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In short, the answer is choice D. It cannot be determined. There isn't enough information.
Answer:
Step-by-step explanation:
The area of a trapezoid is the average of the parallel bases times the height.
A=h(a+b)/2 and since we have two identical trapezoids the total are will be
A=h(a+b) in this case
A=15(32+25)=855mm^2
Answer:
33.493
Step-by-step explanation:
the 33.493(the last 3 is repeated)
Answer:
l = 14
Step-by-step explanation:
The perimeter of a rectangle is
P =2(l+w)
The width is x-6
w = x-6
The length is 8 units longer than the width
l = w+8
l = x-6+8
l = x+2
We can substitute this into the equation for Perimeter, which is given as 40
40 = 2(x+2 + x-6)
Combine like terms
40 =2 (2x-4)
Divide by 2
40/2 = 2/2 (2x-4)
20 = 2x-4
Add 4 to each side
20+4 =2x-4+4
24 = 2x
Divide by 2
24/2 =2x/2
12=x
We want to know the length
l = x+2
l =12+2
l = 14
Step-by-step explanation:
