A) If the area of a rectangle is 36, then the length is 12 and the width is 3. Counterexample: length
I width
-) If 21 and 22 are complementary angles, then one of them must have a
measure less than 45
Counterexample: m 21 = D, m 22 = 0
If the length of AC is 20 and point B lies on AC, then AB - 10 and BC - 10.
Counterexample: AB - .BC -
If the measures of ZR, ZS, and T sum to 180°, then one of the angles must
be obtuse.
Counterexample: m ZR - ), m ZS - I'm T -

Iam a rectangle. my perimeter is 60 feet. how much are do i cover?

Me with this assignment ! i only partially understand, so explain. also it's a work sample. at the championship bike race, steve and paula were fighting for first place. steve was 175 feet ahead of paula and had only 300 feet left to go. he was very tired and was going only 9 feet per second. paula was desperate to catch up and was going 15 feet per second. who won the bike race and by how far did she/he win?

Evaluate 8x2 + 9x − 1 2x3 + 3x2 − 2x dx. solution since the degree of the numerator is less than the degree of the denominator, we don't need to divide. we factor the denominator as 2x3 + 3x2 − 2x = x(2x2 + 3x − 2) = x(2x − 1)(x + 2). since the denominator has three distinct linear factors, the partial fraction decomposition of the integrand has the form† 8x2 + 9x − 1 x(2x − 1)(x + 2) = correct: your answer is correct. to determine the values of a, b, and c, we multiply both sides of this equation by the product of the denominators, x(2x − 1)(x + 2), obtaining 8x2 + 9x − 1 = a correct: your answer is correct. (x + 2) + bx(x + 2) + cx(2x − 1).