Mathematics, 23.07.2020 19:01 sabrinarasull1pe6s61

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

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Answer from: triciajfive

If the contrapositive of p is if two angles are NOT complementary, then the sum of their measures is NOT 90deegrees

Contrapositive statements

These are statements that negates the given statement:

Given the statement; If two angles are complementary, then the sum of their measures is 90

Form the hypothesis

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°

Hence the statement that is the contrapositive of p is if two angles are NOT complementary, then the sum of their measures is NOT 90deegrees

Learn more on contrapositive here: link

Answer from: sherlyngaspar1p9t3ly

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.

Answer from: Quest

solution:

the given function is ,

$f(x) = 4 x^3 - 72 x^2 + 320 x,$

= $4x( x^2- 18 x + 80)\\\\ 4 x(x^2-10 x -8 x + 80) \\\\ 4 x[(x-10)(x-8)]$

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

$f(x) = a x^3+ b x^2 + c x+d,$

sum of the roots = a + b +c= 0+8+10=18= $\frac{-b}{a}$

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 = $\frac{c}{a}$

product of roots = a b c = 0= $\frac{d}{a}$

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function $f(x) = 4 x^3 - 72 x^2 + 320 x,$ is given by entry and exit route of this hall.

Answer from: Quest

-22

times both sides by 2, times () by 8, add alile terms, move terms, add alike and caculate divide both sides by 3

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