coach Cliffman made a deposit of $1800 into an account that earns 2% annual simple interest. find the amount of interest that co
1 answer:
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Answer:
Yes, △ABC ∼ △FED by AA postulate.
Step-by-step explanation:
Given:
Two triangles ABC and FED.
m∠A = m∠B
m∠C = m∠A + 30°
m∠E = m∠F =
m∠D = °.
Now, let m∠A = m∠B =
So, m∠C = m∠A + 30° =
Now, sum of all interior angles of a triangle is 180°. Therefore,
m∠A + m∠B + m∠C = 180
Therefore, m∠A = 50°, m∠B = 50° and m∠C = m∠A + 30° = 50 + 30 = 80°.
Now, consider triangle FED,
m∠D+ m∠E + m∠F = 180
Therefore, m∠F = 50°
m∠E = 50° and
m∠D =
So, both the triangles have congruent corresponding angle measures.
m∠A = m∠F = 50°
m∠B = m∠E = 50°
m∠C = m∠D = 80°
Therefore, the two triangles are similar by AA postulate.
Linear equation are the equation which has the highest power of the unknown variable is 1.The expressions given in the option 1, 2, and 3 are equivalent to .
The equations given in the problem are the linear equations.
<h3>Linear equation</h3>Linear equation are the equation which has the highest power of the unknown variable is 1.
Given-
1) The given expression in the problem is,
Rewrite the equation as,
Take out the negative sign from the bracket,
Rewrite the equation with positive terms first.
Hence the given equation is equivalent to the option 1.
2) The given equation,
On solving further take out the 7 common from the bracket,
Thus the given equation is equivalent to the option 2.
3) The given equation,
Split the term of <em>x,</em>
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Rewrite the equation,
Hence the given equation is equivalent to the option 3.
4) The given equation,
Split the term of <em>x </em>and constant term,
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Rewrite the equation,
Hence the given equation is not equivalent to the option 4.
Thus the expressions given in the option 1, 2, and 3 are equivalent to .
Learn more about the linear equation here;