Answer:
Yes.
∆CAB ≅ ∆XYZ by AAS Congruence Theorem.
Step-by-step explanation:
There's enough information provided in the diagram above for us to prove that ∆CAB is congruent to ∆XYZ.
From the diagram, we cam observe the following:
<A ≅ <Y
<B ≅ <Z
side CA ≅ XY
Using the Angle-Angle-Side (AAS) Congruence Theorem, since two angles, <A and <B, and a non-included side, CA, in ∆CAB are congruent to two the corresponding angles, <X and <Z, and a non-included side, XY, in ∆XYZ, then ∆CAB is congruent to ∆XYZ.
Answer:
The answer will be 0=0. This means that the equation will always be true.
The question is a quadratic equation that can be solved by first simplifying, setting to equal zero, and finally using a method like factoring, completing the square, or the quadratic formula.
To solve the equation 3 (2d-1) 2d= 4(d-2) + 5, firstly, you'll need to distribute the expressions inside the brackets on both sides: 6d² - 3d = 4d - 8 + 5. Simplify to get 6d² - 3d = 4d - 3.
Next, set the equation to equal zero: 6d² - 3d - 4d +3 = 0, which simplifies further to 6d² - 7d + 3 = 0.
Now, you can solve this quadratic equation either by factoring, completing the square or using the quadratic formula (if it's difficult to factor).
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Answer:
80% confidence interval for the average age of people who attend U of O football games is [42.795 , 44.604].
Step-by-step explanation:
We are given that a sample of 100 attendees and find the average age to be 43.7 years old with a standard deviation of 7 years.
So, the pivotal quantity for 80% confidence interval for the population average start up cost is given by;
P.Q. = ~
where, = sample average age = 43.7 years old
= sample standard deviation = 7 years
n = sample of attendees = 100
= population average age of people
So, 80% confidence interval for the average age of people, is ;
P(-1.2915 < < 1.2915) = 0.80
P(-1.2915 < < 1.2915) = 0.80
P( < < ) = 0.80
P( < < ) = 0.80
80% confidence interval for = [ , ]
= [ , ]
= [42.795 , 44.604]
Therefore, 80% confidence interval for the population average age of people who attend U of O football games is [42.795 , 44.604].
Answer:
49 days
Step-by-step explanation:
The spread of the disease is modeled as
where n = number of infected people
t = time (in days)
When the number of infected people is 1400, the number of days t will be:
It will take 49 days for the number of infected people to reach 1400.
Given the function n=200 Square root t where n is the number of infected, and t is time, it will take 49 days for the number of infected people to reach 1400.
To find out how long it will take until the number of infected people reaches 1400, we are going to set n = 1400 (number of infected people) in the given equation, and then solve for t (time in days).
So, 1400 = 200 √t. Dividing both sides by 200, we get √t = 7. Then, squaring both sides give us t = 49 days. So, it will take 49 days for the number of infected people to reach 1400.
Given the function n=200 Square root t where n is the number of infected, and t is time, it will take 49 days for the number of infected people to reach 1400.
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Answer:
D
Step-by-step explanation:
if AB is congruent to AC that means both are 76 degrees so subtract that from the total degrees of a whole triangle which is 180 that gives you A which is 28.
Hope it helps :)