Answer:
It would be B!
Step-by-step explanation:
D has an obtuse angle, so it can be eliminated.
C has angles that are not vertical, but rather adjacent. Same goes for A!
Hope this helps!
Answer:
Sum of Interior Angles = 900°
One Interior Angle = 128.57°
Step-by-step explanation:
We know that the figure is a Heptagon (a 7 sided polygon), therefore;
→ As by the formula of (n - 2) * 180° we can find the sum of the interior angles;
=> (n - 2) * 180 = Sum of Interior Angles
=> (7 - 2) * 180 = Sum of Interior Angles
=> 5 * 180 = Sum of Interior Angles
=> <u>900° = Sum of Interior Angles</u>
Now that we know the sum of interior angles,
→ We can find 1 interior angle by dividing the sum by the number of sides in the polygon.
=> Sum of Interior Angles / n = One Interior Angle
=> 900 / 7 = One Interior Angle
=> <u>128.57° = One Interior Angle</u>
Hope this helps!
So use distributive property
which is
a(b+c)=ab+ac so
1/2(x+20)=1/2x+10
and the other
4(6-x)=24-4x
so now we have
1/2x+10=17/4x+24-4x
convert -4x to -16/4x and add to the 17/4x
1/2x+10=1/4x+24
subtract 24 from boths ides
1/2x-14=1/4x
multily both sides by 4
2x-56=x
subtract x from both sides
x-56=0
add 56 to both sides
x=56
Answer:
2. The amount of soup in a can
3. The amount of chips in a bag of chips
5. The amount of chocolate that makes up a chocolate bar.
Step-by-step explanation:
Volume is the amount that a substance or object occupies, or that is enclosed within a container, so 1 and 4 wouldn't make sense since 1 is a shadow that doesn't take up anything three dimensional, and same goes with 4.
Answer:
The sampling distribution of the sample proportion of adults who have credit card debts of more than $2000 is approximately normally distributed with mean 
and standard deviation 
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean 
and standard deviation 
In this question:
Then
By the Central Limit Theorem:
The sampling distribution of the sample proportion of adults who have credit card debts of more than $2000 is approximately normally distributed with mean and standard deviation
