Answer:
x = 30°
2x = 60°
3x = 90°
Step-by-step explanation:
GBF = CBD (opposite angle)
; 2x+x+3x = 180° (Size of straight angle)
6x = 180
x = 180÷6
x = 30°
substitution x in 2x ; 2×30 = 60°
substitution x in 3x ; 3×30 = 90°
hope it helps ☺️
Answer:
1) Not congruent
2) AAS
3) Not congruent
4) SAS
5) SSS
6) ASA
Step-by-step explanation:
In SSS, ASA, AAS, and SAS, S stands for side and A stands for angle. If the sides and angles are congruent in any of those patterns, the triangles are congruent.
Hope it helps <3
Answer: A. 9567m
i hope i'm correct let me know if i'm wrong
Answer:
y - x = - 2 b
Step-by-step explanation:
Given-
3 x + 2 y = 5 a + b...................(i)
4 x - 3 y = a + 7 b.....................(ii)
<em><u>Multiply by 3 and 2 in equation (i) & (ii) respectively-</u></em>
<em><u>Add equation (iii) & (iv)-</u></em>
9 x + 6 y = 15 a + 3 a...................(iii)
<u>8 x - 6 y = 2 a + 14 b</u> ...................(iv)
17 x = 17 a + 17 b
<u>x = a + b</u>
Put x = a + b in equation (i)-
<em>2 y = 5 a + b - 3 a - 3 b</em>
<em>2 y = 2 a - 2 b</em>
<u>y = a - b </u>
<em>∴ y - x = a - b - ( a + b )</em>
<em>y - x = a - b - a - b</em>
y - x = - 2 b
If Carlos must place all the books on shelves, he may possibly use 10 shelves if he is to place 4 books per shelf, or 5 shelves if he is to place 8 books on each.