For the hypotenuses to be able to lie on the same line:
The tan of angle in both should be the same. That is the two triangles should be similar.
For the first triangle tanθ = 4/10 = 2/5
For the second triangle, tanθ = 12/30 = 6/15 = 2/5
Since both angles in the triangle are the same, hence, the hypotenuses of the two triangles could lie along the same line.
Answer: -3 is greater than -7 and the absolute value of -3 is less than the absolute value of -7.
Step-by-step explanation:
For NEGATIVE numbers, the closer the value is to 0, the greater it is. -3 is closer to 0 than -7 is, so -3 is greater than -7. For POSITIVE numbers, the further away the number is from 0, the greater it is. The absolute value of -3 is 3 and the absolute value of -7 is 7, and 7 is farther away from 0 than 3 is. So, the absolute value of -3 is less than the absolute value of -7. Hope this helps!
Step-by-step explanation:
Given
( 6x² - x + 8 ) - ( x² + 2)
= 6x² - x + 8 - x² - 2
= 5x² - x + 6
121-36=49+10+26.X is eqeal to 36
