Which figure must be a square? a. a quadrilateral with four right angles b. a rhombus with four right angles c. a parallelogram with four congruent sides d. a quadrilateral with congruent sides
B is correct because by default a rhombus has four equal sides, and it says it also has four right angles. A is incorrect because it could refer to any rectangle, C is incorrect because parallelograms don't necessarily have four right angles, and D is incorrect because quadrilaterals don't necessarily have four right angles either.
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Mathematics, 21.06.2019 15:00
Use addition and subtraction to simplify the following polynomials. a. add polynomials: (3 – 4x + 8x^2) + (–6 + 2x – 5x^2) step 1: rewrite the polynomials without the parentheses. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial. b. subtract polynomials: (3x – 5 – 7x^2) – (–2 + 6x^2 – 5x) step 1: rewrite the polynomials without the parentheses. remember to multiply each term in the second parentheses by –1. show your work. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial.