Provide an appropriate response.In the figure below,  and  Prove that the triangle ABE is an isosceles triangle.

What will be an ideal response?


Answers will vary. A sample correct response would be as follows.

As ?ACD is isosceles,  It follows that  By ASA,  and hence  i.e. triangle ABE is isosceles.

Mathematics

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Perform the indicated operation.

A. x2 + 9 B. x - 48  C. x3 - 48 D. x + 9 

Mathematics

Economists define the disposable annual income for an individual by the equation D = (1 - r)T, where T is the individual's total income and r is the net rate at which he or she is taxed. What is the disposable income for an individual whose income is $35,000 and whose net tax rate is 21%? ? $__________

Fill in the blank(s) with the appropriate word(s).

Mathematics

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.-2(x + 7) + (-5x) = -7(x - 7) + 5

A. Contradiction; ? B. Identity; {all real numbers} C. Conditional; {0} D. Conditional; {5}

Mathematics

Divide using long division.

A. 3x2 + 3x - 1
B. 3x2 - 7x + 
C. 3x2 + 7x + 
D. 3x2 - 3x - 1

Mathematics