Answer:
A. Similar using SAS; ∆ABC ~ ∆DFE
Step-by-step explanation:
m<B of ∆ABC = m<F of ∆DFE
AB corresponds to DF
AB/DF = 12/8 = 3/2
BC corresponds to FE
BC/FE = 24/16 = 3/2
Thus, the ratio of the corresponding sides of both triangles are the same. Therefore, both triangles has two sides that are proportional to each other, and also had an included corresponding angles that are congruent to each other.
By the SAS criterion, we can conclude that both triangles are similar to each other. That is, ∆ABC ~ ∆DFE
Answer:
6y = 12x + 36 is x=
1
/2
y−3
15y = 45x + 60 is x=
1
/3
y+
−4
/3
Step-by-step explanation:
That is the answer..............
Answer:
x=8 and y=53
Step-by-step explanation:
Given function:
Find x:
- the two equation, the x and are breaked apart..
- so find a number that they can both equal to together and has the same y.
- multiply by 8..
·
- combine the terms for x and 13
- since x is 8 then if we add 8 with 45 it should be 53...
y is:
Therefore, x=8 and y=53..
Answer:
x=8
Step-by-step explanation:
(2x + 1)² = x² + (2x - 1)² = x² + (2x - 1)(2x - 1)
(2x + 1)(2x + 1) = x² + 4x²-2x-2x+1
4x²+2x+2x+1 = 5x²-4x+1
4x²+4x+1 = 5x²-4x+1
0= 5x²-4x²-4x-4x+1-1
0= x²-8x
x²-8x=0
x²=8x
x=8
