Answer:
Step-by-step explanation:
a
Answer:
a. 99.7%
b. 68%
Step-by-step explanation:
The empirical rule for approximately symmetrical and bell-shaped distributions states that:
68% of the data are among the values (means - sd) and (means + sd)
95% of the data are among the values (means - 2*sd) and (means + 2*sd)
99.7% of the data are among the values (means - 3*sd) and (means + 3*sd). So that,
68% of the data are among the values (180 - 8) = 172 and (180 + 8) = 188
95% of the data are among the values (180 - 16) = 164 and (180 + 16) = 196
99.7% of the data are among the values (180 - 24) = 156 and (180 + 24) = 204
As you can see, angle 5 and angle 6 are supplementary. And angle 5 and angle 3 are congruent because they are alternate interior angles.
So it will be
x+2 = 180- x+3
move x over from the right to the left
2x+2 = 183
move 2 over from the left to the right
2x = 181
divide by 2
x= 90.5
and angle 3 and angle 1 are vertical angles so they are congruent. Using the angle 3 formula to solve for the answer:
90.5+3 =93.5
When angles are congruent, their measures are congruent, therefore, measure of angle 1 is 93.5
Let's have this equation equal y first. All we have to do is add y to both sides and subtract 4 from both sides.
5x-4=y
Now, to get a parallel line, the y intercept has to change. The y intercept (the -4 in the equation) can be an infinite amount of number but -4.
Let's choose 6. We would have 5x+6=y or you could put it in the way the other equation was, 5x-y=-6.
