ΔABC ≅ ΔEDC by the SAS postulate.
<h3>What is the SAS postulate's conclusion?</h3>
Postulate of Side-Angle-Side (SAS) ,The two triangles are said to be congruent if two sides and the included angle of one triangle match those of another triangle by two sides and the included angle.
According to the SAS Postulate, two triangles are congruent if their two sides and included angles are identical to those of another triangle's two sides and included angle
The midpoint of DB and AE Given is at C.
BC ≅ CD Two equal portions are produced by the midway C.
AC ≅ CE Two equal portions are produced by the midway C.
ACB and DCE Congruent vertical angles exist.
By the SAS postulat, ABC becomes EDC.
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It's 1. mean i basically the average so if all of them got the same answer it would be 8.5
Answer:
NF = 25
Step-by-step explanation:
Since ∆NKF ~ ∆LZF, the ratio of their corresponding side lengths would also be the same.
This means that:
KF/ZF = NF/LF
KF = x + 3
ZF = 4
NF = 15 + x + 3 = x + 18
LF = x + 3
Plug in the values into the equation
(x + 3)/4 = (x + 18)/(x + 3)
Cross multiply
(x + 3)(x + 3) = (x + 18)(4)
x² + 3x + 3x + 9 = 4x + 72
x² + 6x + 9 = 4x + 72
x² + 6x + 9 - 4x - 72 = 0
x² + 2x - 63 = 0
Factorize to find x
x² + 9x - 7x - 63 = 0
x(x + 9) -7(x + 9) = 0
(x + 9)(x - 7) = 0
x + 9 = 0 or x - 7 = 0
x = -9 or x = 7
We'd use the positive value of x, which is 7.
Therefore, x = 7.
✅NF = 15 + (x + 3)
Plug in the value of x
NF = 15 + (7 + 3) = 15 + 10
NF = 25
Answer:2.5
Step-by-step explanation:
