Answer:
The Proof for
△ABD ≅ △CBD is below
Step-by-step explanation:
Given:
AD = CD .........BD bisect AC
To Prove:
△ABD ≅ △CBD
Proof:
In ΔABD and ΔCBD
BD ≅ BD ....……….{Reflexive Property}
∠ADB ≅ ∠CDB …………..{Measure of each angle is 90°( )}
AD ≅ CD ....……….{ }
ΔABD ≅ ΔCBD .......….{By Side-Angle-Side Congruence test} ...Proved
Answer:
20 people only buy dvds.
Step-by-step explanation:
There are two groups in this problem. One group of people that buys dvds and one that buys blu rays. The total amount of people who buy blu rays is 300, but there's an intersection between the groups and the size of this is 280 people who actually buy both. In order to find out how many people only buy DVDs we first need to figure out how many only buy blu-rays. That is:
people who only buy blu rays = people who buy blu rays - people who buys blu rays and dvds
people who only buy blu rays = 300 - 280 = 20
We can now calculate the amount of people who only buy dvds and that is:
people who only buy dvds =total amount of people - ( people who only buy blu rays + people who buy both)
people who only buy dvds = 320 - (20 + 280) = 320 - 300 = 20 people
We always start from right side in order of operation in any equation
we can set up equation as
step-1:
x divided by three
we can write as
step-2:
six more than x divided by three
so, we get
step-3:
y is six more than x divided by three
so, we get
and this is in y=mx+b form
so, we have
...............Answer
Answer:
20.27
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , the sample means with size n of at least 30 can be approximated to a normal distribution with mean and standard deviation
Using the Central Limit Theorem for Means, what is the standard deviation for the sample mean distribution?
This is s when . So
So the correct answer is:
20.27
Answer:
shown below.
Step-by-step explanation:
v = 150 since 180 - 30
for w we need 2y and x. the base angles of the triangle are 30 and 50 therefore x = 100. 2y = 30 because corresponding angles. ergo, w = 50
x = 100
y = 15
z = 50