There are 4 red golf balls and 2 green golf balls in a bucket. You select a ball at random, keep it, and select again. Find the
2 answers:
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Observe the figure given.
Given: ABCD is a parallelogram.
To prove: ABCD is a rhombus
Statement
1. ABCD is a parallelogram. AC bisects .
Reason: Given
2.
Reason: Definition of an angle bisector
3.
Reason: Reflexive property of congruence
4.
Reason: ASA Postulate
5.
Reason: corresponding parts of congruent triangles are equal.
6.
Reason: Opposite sides of the parallelogram are congruent.
7.
Reason: Transitive property of congruence
8. ABCD is a rhombus
Reason: Definition of rhombus
The answer for the given equation is x = 3.5.
<u>Step-by-step explanation</u>:
Given, 2 / 3 (3x + 6) = 4x + 3
Step 1:
Rearranging the given equation by subtracting the right side of the equation to the left side.
2 / 3 (3x + 6) - 4x + 3 = 0
Step 2:
Taking out the like terms, the equation becomes
(2 / 3) 3 (x + 2) - (4x - 3) = 0
⇒ 2 (x + 2) - (4x - 3) = 0
Step 3:
Solving the equation for the value of x,
⇒ 2x + 4 - 4x + 3 = 0
⇒ -2x + 7 = 0
⇒ -2x = -7
⇒ x = 7 / 2 = 3.5.
Hence the value of x = 3.5.