Answer:
Correct answer is <em>D. ASA</em>
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Step-by-step explanation:
Let us first define <em>ASA congruence</em> rule:
2 triangles are called congruent according to ASA congruence rule if 2 angles of the triangle and the corresponding side between these two angles are <em>equal </em>to each other.
In the question figure, we can figure out following conclusions from Triangles respectively:
- Side RS = Side WX
-
As per the definition of option d) ASA congruence, the triangles are congruent.
Answer: D. 8x² + x + 3
Sum means the answer to an addition problem. To find the sum of polynomials, we will add like terms.
<h2>What are like terms?</h2>
Like terms can be combined using addition or subtraction and have the same variables. Constants are also like terms with each other because they have no variables.
<h2>Solve</h2>
(4x² + 1) + (4x² + x + 2) Starting equation from the question
= 4x² + 1 + 4x² + x + 2 Remove brackets
= 4x² + 4x² + x + 1 + 2 Rearrange to group like terms together
= 8x² + x + 1 + 2 Add like terms with the same 'x²' variables
= 8x² + x + 3 Add like terms that are constants
Learn more about adding polynomials here:
brainly.com/question/1311115
To solve this we use trigonometric functions that would relate the hypotenuse y and the given values. For this case we use cosine function which is expressed as:
cosine theta = adjacent side / hypotenuse
cosine 52 = 35 / y
y = 35 / cos 52
y = 56.85
Answer:
$51.30
Step-by-step explanation:
Add 32.50 + 15 to get 47.5.
Multiply 47.5 x 0.08 to get 3.8.
Add 3.8 to 47.5 to get $51.30.
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