which statement is the contrapositive of p ? p: if two angles are complementary, then the sum of their measures is 90

Mathematics

1 answer:

Over [174]2 years ago

5 0

Answer: If the sum of the measures of two angles is not 90°, then they are not complementary angles.

Step-by-step explanation:

Contrapositive of p → q is ~q → ~p where p is the hypothesis and q is the conclusion.

Hypothesis (p) = Two angles are complementary

~p = Two angles are not complementary

Conclusion (q) = The sum of their measures is 90°

~q = The sum of their measures is not 90°

~ p → ~q = If the sum of the measures of two angles is not 90°,

then they are not complementary angles.

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4 0

3 years ago

Answer a, b and c. See image below

dlinn [17]

Answer:

a) 3/5 < 4/5

b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.

c) $\frac{7}{10} > \frac{9}{15}$ or $\frac{7}{10}$

Step-by-step explanation:

a) 3/5 < 4/5

Flip the sign and the placement of the fraction so 3/5 is less then 4/5.

b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.

c) We need to change the denominators to a common denominator to compare the size of the two fractions:

$\frac{7}{10}$ × $\frac{3}{3}$ = $\frac{21}{30}$