Answer:
See explanation
Step-by-step explanation:
<u> ASA Postulate (Angle-Side-Angle):</u>
If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Consider triangles XYB and ZYA. In these triangles
- ∠X≅∠Z (given)
- XY≅ZY (given)
- ∠Y is common angle
By ASA Postulate, triangles XYB and ZYA are congruent. Congruent triangles have congruent corresponding sides, so
BX≅AZ
Answer:
Divide both sides by 2
Step-by-step explanation:
We have the equation
2(x + 14) = 40
We divide both sides by 2
2(x + 14) = 40/2
x + 14 = 20
x = 20 - 14
x = 6
Therefore, the most helpful first step for solving Ravi's equation is: Divide both sides by 2
Answer:
The movie costs $3.50 and the video games cost $5.
Step-by-step explanation:
a = 1 movie
b = 1 video game
2a + 5b = $32
8a + 3b = $43
2a x -4 = -8a
5b x -4 = -20b
32 x -4 = -128
8a + 3b = $43
- 8a + 20b = $128
--------------------------------
-17b = -85
17b = 85
/17 /17
b = 5
2a + 5(5) = 32
2a + 25 = 32
- 25 = -25
----------------------
2a = 7
/2 = /2
a = 3.5
a = $3.50
b = $5
