Answer:
Vijay present age: a
Gautam present age : b
2/3=a/b
3a = 2b
3/4 = (a+5)/(b+5)
4a+20 = 3b +15
(3a - 2b =0) x 3---------9a - 6b = 0
(4a - 3b = -5) x 2------- 8a - 6b = -10
9a - 6b - 8a + 6b = 10
a = 10
3(10) - 2b =0
-2b = -30
b = 15
So
Vijay present age = 10
Gautam present age = 15
They were up 15+0+25+10-20-10=20. The sum was 20 :)
Answers:
A) △ACF ≅ △AEB because of ASA.
D) ∠CFA ≅ ∠EBA
E) FC ≅ BE
Solution:
AC ≅ AE; ∠ACD ≅ ∠AED Given
The angle ∠CAF ≅ ∠EAB, because is the same angle in Vertex A
Then △ACF ≅ △AEB because of ASA (Angle Side Angle): They have a congruent side (AC ≅ AE) and the two adjacent angles to this side are congruent too (∠ACD ≅ ∠AED and ∠CAF ≅ ∠EAB), then option A) is true: △ACF ≅ △AEB because of ASA.
If the two triangles are congruent, the ∠CFA ≅ ∠EBA; and FC ≅ BE, by CPCTC (Corresponding Parts of Congruent Triangles are Congruent), then Options D) ∠CFA ≅ ∠EBA and E) FC ≅ BE are true
Answer:
△RST ~ △RYX by the SSS similarity theorem. Which ratio is also equal to RT/RX and RS/RY ?
A.XY/TS
B.SY/RY
C.RX/XT
D.ST/YX
Step-by-step explanation:
Check attachment for solution
