The value of x is 36.
Solution:
Given angles of a triangle are 2x°, 2x° and x°.
To find the value of x:
<em>Sum of the all the angles of a triangle = 180°</em>
2x° + 2x° + x° = 180°
5x° = 180°
Divide by 5 on both sides of the equation.
x° = 36°
x = 36
The value of x is 36.
First blank: sin. C = h/a
The ratio for sin. is opposite (the height) over hypotenuse (a).
Second blank: Area = (1/2)b(a sin. C)
In this substitution, we are substituting the value of h into the traditional area of a triangle formula.
Third Blank: Area = (1/2)ab(sin C)
We are using the commutative property to move the position of a.
Hope this helps and good luck in your classes!
<span> For this case we can make the following rule of three:
2.99 ----------> 100%
x --------------> 7%
From here, we clear the value of x.
We have then:
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<span> Rewriting the expression we have:
</span>

<span>
Answer: The sales taxes are: x = 0.2093 $</span>
See attached for a sketch of some of the cross sections.
Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).
If the thickness of each cross section is ∆x, then the volume of each cross section is
∆V = (√(x + 1))² ∆x = (x + 1) ∆x
As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,

We used the elimination method to find the ordered pair, (x,y), that represents the situation is (12,39).
Number of invoices = 51
Charge for tree installation = $375
Charge for tree trimming = $54
Total amount in invoices = $6,606
Let x and y represent number of installations and number of trimmings respectively.
Hence,
x + y = 51 ...(1)
375x + 54y = 6606
3 (125x + 18y) = 3*2202
125x + 18y = 2202 ...(2)
Multiplying (1) by 18, we get
18x + 18y = 918 ...(3)
(2) - (3)
107x + 0 = 1284
x = 1284/107 = 12
Hence,
y = 51 - 12 = 39.
To learn more about elimination method, here:-
brainly.com/question/13877817
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