The missing statement and reasons are;
<u><em>Statement 5; 12x + 20 = 11x + 23
Reason 2; Vertically opposite angles are equal
Reason 4; Transitive property of equality.
Reason 6; Subtraction Property of Equality.</em></u>
We are given that;
∠BDA ≅ ∠A
We want to prove that; x = 3
Statement 1; ∠BDA ≅ ∠A
Reason; It is Given
Statement 2; ∠BDA ≅ ∠CDE; The statement means they are congruent and equal.
Reason; Vertically opposite angles are equal
Statement 3; ∠CDE ≅ ∠A; This means ∠CDA is congruent to ∠A.
Reason; Transitive property of congruence.
Statement 4; m∠CDE = m∠A. We saw that ∠BDA ≅ ∠A and ∠BDA ≅ ∠CDE. Thus, by transitive property of equality, we can say that; m∠CDE = m∠A.
Reason; Transitive property of equality.
Statement 5; 12x + 20 = 11x + 23
Reason is; Substitution property of equality
Statement 6; 12x = 11x + 3; In statement 5 above, what was done to get this statement 6 was to subtract 20 from both sides. This is known as subtraction property of equality.
Reason; Subtraction Property of Equality.
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slope= change in y/changes in x
pick any 2 co-ordinates (i'm using (-3,5) and (-1, -1))
substitute that into the equation y=mx+c with m being the slope
right angle triangle sum up to 90
The value of cement mixer after t year is
Given to us
The value of cement mixer when bought, = $ 54,205
the value of cement mixer after 1 year, = $ 47,158. 35
the value of cement mixer after 2 year,= $ 41,027. 76
To find out depreciation we can use the formula for depreciation,
By putting the value, in the formula we get,
Therefore, putting the value of and in depreciation formula for years we get,
Hence, the value of cement mixer after t year is .
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