2oxygen
3nitrogen
4helium
Answer:
The answer is option B
Step-by-step explanation:
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The statement is valid because the measure of the vertices located in the center of the pentagon is the quotient of 360 and 5, and the sum of two base angles in the given isosceles triangle is 108.
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Explanation:
Check out the diagram below. I have added x and y such that
x = base angle
y = vertex angle (located adjacent to center of polygon)
The pentagon is sliced up like a cake into 5 equal portions. Each vertex angle is y = 360/5 = 72 degrees.
The two base angles x must add with the vertex angle y to get 180
(angle1)+(angle2)+(angle3) = 180
x+x+y = 180
2x+y = 180
2x+72 = 180
2x = 180-72
2x = 108
This is true for any one of the five triangles. Notice that for angle LMN, we can divide it into LMQ and QMN where Q is the center of the polygon. Both of these angles are x. Since we've shown 2x = 108, we can see that LMN must also be 108 as well.
Choice A is close, but we wouldn't use the exterior angle theorem. Choice B is the better answer.
Answer:
To start off, this fraction needs to be rationalized; you can't have a radical in the denominator. So, you multiply both the numerator & denominator by the same number (so as to not mess up the proportion of numerator:denominator; it's like multiplying by 1) & get the radical out of the denominator. What number would that be? sqrt5.
So we have (sqrt6/sqrt5)•(sqrt5/sqrt5).
To simplify that, we get (sqrt6•sqrt5)/(sqrt5•sqrt5).
This can be rewritten as:
sqrt(6•5)/sqrt(5•5)
= sqrt30/sqrt25
Now, sqrt25 = 5, so that problem is solved as such:
sqrt30/5
I'm thinking sqrt30 can't be simplified any further. If it can, do so.
Hope this helps!
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
Find 26% of 50 by doing
.26 * 50
resulting in 13
In order to determine the number of missed shots, one has to convert the 26 Percentage into a decimal and multiply it by the total number of shots, which results in Linda missing 13 shots.
The subject of this question is Mathematics, specifically percentage calculations. If Linda, during her practice, missed 26% of her free throw shots and if she shot the ball 50 times, to find how many times she missed, you would have to find 26% of 50.
Step 1: Convert the percentage to a decimal by dividing it by 100. So, 26% becomes 0.26.
Step 2: Multiply this decimal by the total number of shots Linda made, which is 50. Therefore, 0.26 times 50 equals 13.
So, Linda missed 13 of her free throw shots.
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how many solutions (x,y) are there to the system of equations above ?
a none
b one
c two
d more than two
please explain how u know
Option B. one.
A linear equation in two variables is an equation of the form ax + by + c = 0 where a, b, c ∈ R, a, and b ≠ 0. When we consider a system of linear equations, we can find the number of solutions by comparing the coefficients of the variables of the equations.
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The axiom applied in all the provided equations is the Commutative Property, which is a fundamental property of addition and multiplication in mathematics, stating that the order of operands can be changed without altering the outcome.
The axiom used in the provided equations is the Commutative Property of Addition and the Commutative Property of Multiplication.
a. The equation 3 + 5 = 5 + 3 represents the Commutative Property of Addition, which states that the order in which numbers are added does not affect the sum. In this case, it shows that changing the order of the addends does not change the result.
b. The equation 3x^2 + 5y^2 = 5y^2 + 3x^2 demonstrates the Commutative Property of Addition for algebraic terms. It shows that changing the order of the terms in an addition operation does not alter the result.
c. In the equation Zxy + 5 - 3cd = Zxy - 3cd + 5, the Commutative Property of Addition is evident, illustrating that the order of the terms in an addition operation can be rearranged without changing the result.
d. The equation (5c + 3x) + Zy = 5c(3x + Zy) demonstrates the Commutative Property of Multiplication. It shows that changing the order of factors in a multiplication operation does not affect the product.
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