Step-by-step explanation:
the small and the large triangles are similar triangles.
they have the same angles. and the corresponding sides correlate to each other with the same ratio for every pair of sides.
so,
28 / 82 = (2x + 8) / ((2x + 8) + (5x -4)) =
= (2x + 8) / (7x + 4)
(7x + 4)×28 = (2x + 8)×82
196x + 112 = 164x + 656
32x = 544
x = 17
Answer:
regular show lol
Step-by-step explanation:
what do you think?
Answer:
The length ot rectangle is 3 units.
Step-by-step explanation:
The formula for perimeter is P = 2l + 2w and the area is A = l×w. Assuming that the perimeter and area have the same values so you have to compare it :
Yes, because if you would draw 2 parallel lines in 3D space, a plane would exist between those two lines.
Hope this helps :)
Answer:
DE = 21
Step-by-step explanation:
Recall: the ratio of the corresponding side lengths of similar triangles are equal
Given that ∆ABC ~ ∆DEF, therefore,
AB/DE = BC/EF = AC/DF
AB = 8.4
DE = x
BC = 10
EF = 25
AC = 16.5
DF = 41.25
Let's find DE using AB/DE = BC/EF. Thus:
8.4/x = 10/25
Cross multiply
x*10 = 25*8.4
10x = 210
Divide both sides by 10
x = 210/10
x = 21
DE = x = 21
