Which side length will form an obtuse triangle with side lengths 8 and 10

Option J 13

Step-by-step explanation:

we know that

If applying the Pythagoras Theorem

----> is  an obtuse triangle

----> is  an acute triangle

----> is a right triangle

where

c is the greater side

Verify each case

case F) we have

substitute

-----> is not true

Is a right triangle

case G) we have

substitute

-----> is not true

Is an acute triangle

case H) we have

substitute

-----> is not true

Is an acute triangle

case J) we have

substitute

-----> is true

Is an obtuse triangle

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

image result for what is another name for consecutive interior angles? ​

when two lines are crossed by another line (called the transversal): the pairs of angles on one side of the transversal but inside the two lines are called consecutive interior angles. in this example, these are consecutive interior angles: d and f.

step-by-step explanation: