90°
By definition, lines that connect opposite corners of a kite are perpendicular. The answer must be 90°.
Lori ran further because if you divide 3 by 8 (3/8) you would get 0.325 and if you divide 3 by 6 (3/6) you would get 0.5 and 0.5 is greater than 0.325 meaning Lori ran faster than Carlos.
Step-by-step explanation:
With a fair die, the probability of rolling a 6 is 1/6 or 0.167.
For the baked die, the low end of the confidence interval is 0.215 − 0.057 = 0.158.
Since 0.167 is within the range of the confidence interval, there is not convincing statistical evidence that a baked die will have a higher probability of rolling a 6 than a fair die.
We know that HJ + JK = HK
So lets substitute each part for their equation.
(2x + 5) + (3x - 7) = 18
Combine like terms
5x -2 = 18
Add 2 to both sides to eliminate it
5x = 20
Divide both sides by 5
x = 4
Let me know if you have any questions about this! :)