Answer:
23.6°
Step-by-step explanation:
In this question we have to use some trigonometry to work out angle XVW. Since we are working out angles all of the trigonometric functions will have to be to the ⁻¹. The first thing we need to identify is will formula will we use out of the following:
Sin⁻¹ = Opposite ÷ Hypotenuse
Tan⁻¹ = Opposite ÷ Adjacent
Cos⁻¹ = Adjacent ÷ Hypotenuse
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10 = Hypotenuse
4 = Opposite
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We know which formula to use because the length won't be in the triangle for example we will be using the Sin triangle because we don't have an adjacent. If we don't have an adjacent then the other formula's won't work.
Now we substitute in the values to find the value of angle XVW
Sin⁻¹ = Opposite ÷ Hypotenuse
Sin⁻¹ = 4 ÷ 10
The value of angle XVW is 23.57817848
aApolynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
There are 3 sets of polynomials; LINEAR, QUADRATIC and CUBIC
Linear:
Quadratic:
Cubic:
Answer/Step-by-step explanation:
Part A:
If a figure is divided into two equal halves by a line of symmetry, each of the pair the corresponding parts will be congruent to the other part.
Thus, based on the Symmetric Figures Theorem, the two parts in the question above are congruent as a result of the line of symmetry, line SD, which makes one part the mirror image of the other.
Therefore, Noah's congruence statement is of the pentagons is incorrect.
Part B:
Based on Symmetric Figures Theorem, AXPDS is congruent to MHZDS as the line of symmetry, line SD, makes one a mirror image of the other.
Answer:
The value of y would be 45.5
Step-by-step explanation:
To solve this problem, start with the base form of direct variation.
y = kx
Now we can use our original values to model the equation and find k.
35 = k(2.5)
14 = k
Now we can model the equation as:
y = 14x
Now to find y, when x = 3.25, simply put 3.25 into the equation.
y = 14(3.25)
y = 45.5