8. What is the value of x?

x = 8°

Step-by-step explanation:

Given the three angles with measurements, m < 90°, m < 40°, and m < (6x + 2)°, in which the sum of their measurements equal 180°,

We can establish the following formula to solve for the value of x:

180° = m < 90° + m < 40° + m < (6x + 2)°

180° = 90° +  40° + 6x + 2

180° = 132° + 6x

Subtract 132° on both sides of the equation:

180°- 132° = 132° + 6x - 132°

48° = 6x

Divide both sides by 6 to solve for x:

x = 8°

To verify whether this is the correct answer, plug in the value of x into the original equation:

180° = m < 90° + m < 40° + m < (6x + 2)°

180° = 90° +  40° + 6(8)° + 2°

180° = 90° +  40° + 48° + 2°

180° = 180°

Therefore, we derived the correct value for x = 8°.

a4 - 3a2 - 1

step-by-step explanation:

step   1   :

equation at the end of step   1   :

  ((a4) -   3a2) -   1

step   2   :

trying to factor by splitting the middle term

2.1     factoring   a4-3a2-1  

the first term is,   a4   its coefficient is   1 .

the middle term is,   -3a2   its coefficient is   -3 .

the last term, "the constant", is   -1  

ion

step-by-step explanation:

ion ion ion ion ion ion ion ion ion ion ion