Answer:
? = 116°
Step-by-step explanation:
when a line passes through 2 parallel lines,
the angles ?° + 64° are complementary or add up to 180°
? + 64° = 180°
? = 180° - 64° = 116°
It is 395.3 use calculators or do the division out of paper
Answer:
Step-by-step explanation:
A rectangle has same opposite sides and 4 right angles as property of a rectangle.
The photo frame has different diagonal lengths
It makes opposite sides different, therefore it is not a rectangle
<u>Given angles (x - 20) and (x + 40) are consecutive interior angles which add up to 180°</u>
- x - 20° + x + 40° = 180°
- 2x + 20° = 180°
- 2x = 160°
- x = 80°
Answer:


So then we will expect 9.98 packages between 2-4 rookie cards in the sample of 10
Step-by-step explanation:
Let X the random variable that represent the number of rookie cards of a population, and for this case we know the distribution for X is given by:
Where
and
We select a sample size of n = 10 variety packs and we want to find this probability:
We can use the z score formula given by:
If we apply this formula to our probability we got this:
We can find the z score for 2 and 4 and we got:


So we can find the probability with this difference
And using the normal standard distirbution or excel we got:
So then we will expect 9.98 packages between 2-4 rookie cards in the sample of 10
Answer:
x = 20
Step-by-step explanation:
The three angles form a straight line so they add to 180 degrees
x+ 100 +3x = 180
Combine like terms
100+4x= 180
Subtract 100 from each side
100+4x-100= 180-100
4x= 80
Divide each side by 4
4x/4 = 80/4
x = 20