Answer:
The correct option is B.
Step-by-step explanation:
According to AAS congruence rule, two triangles are congruent if two angles and a non included side are congruent to corresponding angles and side of another triangle.
We need two angles and a non included side, to use AAS postulate.
In option A, two sides and their inclined angle are congruent, therefore these triangles are congruent by SAS postulate and option A is incorrect.
In option B, two angles and a non included side are congruent, therefore these triangles are congruent by AAS postulate and option B is correct.
In option C, two angles and their included side are congruent, therefore these triangles are congruent by ASA postulate and option C is incorrect.
In option D, all sides are congruent, therefore these triangles are congruent by SSS postulate and option D is incorrect.
Answer:
The best buy item is the Frito-Lay mi Variety Pack. Going for only 0.35 per item.
Step-by-step explanation:
All I did was the equations and then I compared the answer, the lowest answer is the best buy since it is the lowest price found.
Frito-Lay:
9.88/28 = 0.35
Unit rate is 35 cents
Pringles:
6.48/18 = 0.36
Unit rate is 36 cents
Pack of 18:
11.21/18 = 0.6
Unit rate is 60 cents
Pack of 24:
15.85/24 = 0.66
Unit rate is 66 cents
GC:
14.75/30 = 0.49
Unit rate is 49 cents
Sweet Treats:
10.75/25 = 0.43
Unit rate is 43 cents
Comparing all of this data, it can easily be seen that the Frito-Lay mi Variety Pack is the best deal you can find out of these 6 deals.
Answer:
x= 4
Step-by-step explanation:
The two triangles are similar so the ratios of both should be the same. Triangle DEF is 15 times bigger than triangle ABC so 60 divided by 15 is 4. Moral of the story 4 equals X
6/3 + 2/3 = (6 + 2)/3:
4 + 3/8 - (6 + 2)/3
6 + 2 = 8:
4 + 3/8 - 8/3
Put 4 + 3/8 - 8/3 over the common denominator 24. 4 + 3/8 - 8/3 = (24×4)/24 + (3×3)/24 + (8 (-8))/24:
(24×4)/24 + (3×3)/24 + (8 (-8))/24
24×4 = 96:
96/24 + (3×3)/24 + (8 (-8))/24
3×3 = 9:
96/24 + 9/24 + (8 (-8))/24
8 (-8) = -64:
96/24 + 9/24 + (-64)/24
96/24 + 9/24 - 64/24 = (96 + 9 - 64)/24:
(96 + 9 - 64)/24
| 1 |
| 9 | 6
+ | | 9
1 | 0 | 5:
(105 - 64)/24
| 0 | 10 |
| 1 | 0 | 5
- | | 6 | 4
| 0 | 4 | 1:
Answer: 41/24 or decimal 1.70833333.....
