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siniylev [52]
1 year ago
15

Find the value of x in the given figure​

Mathematics
1 answer:
RSB [31]1 year ago
3 0

To solve this problem, you will first use the Angle Sum Property to determine the value of <em>x </em>after creating an algebraic equation, combining like terms, and subtracting from both sides of an equation.

<h3>Use the Angle Sum Property</h3>

The Angle Sum Property states that all interior angles of a triangle will summate to 180º.

An equation can be created to find this when you are given two angles and missing a third. That third angle can be referred to as <em>x</em> in this scenario.

Adding the two known angles and the unknown angle will result in a sum of 180º. This means that our unknown is <em>x</em> and can therefore be placed in an equation:

65+42+x=180

<h3>Combine Like Terms</h3>

Combine the like terms by combining the constants on the left side of the equation using addition:

65+42+x=180

107+x=180

<h3>Subtract</h3>

After combining like terms, subtract 107 from both sides of the equation:

107 - 107 +x = 180-107

\boxed{x=73}

The final answer is <em>x</em> = 73 degrees.

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(16/18)
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(8•2/9•2)=(16/18)
(8•3/9•3)=(24/27)

You could do any number:
(8•100/9•100)=(800/900)

8 0
3 years ago
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olya-2409 [2.1K]

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Answer is A. 36x-11y

Step-by-step explanation:

34x-12x+14x-18y+7y

=22x+14x-18y+7y

=36x-11y

6 0
3 years ago
If a plane may be named by three noncollinear points on that plane, plane abc may also be named ____.
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8 0
2 years ago
The diagram shows the cross-section of a wall of a cinema. It has to be painted. Work out the area that needs to be painted.
mestny [16]

Answer:

Area = 370 m²

Cost to paint = £105

Step-by-step explanation:

Area of the wall of a cinema hall = Area of a trapezoid (1)+ Area of a rectangle (2) + Area of a trapezoid (3)

Area of a trapezoid = \frac{1}{2}(b_1+b_2)h

where b_1 and b_2 are the parallel sides and h is the distance between these sides.

Area of trapezoid (1) = \frac{1}{2}(11+12)\times 6

                                  = 69 m²

Area of the rectangle (2) = Length × Width

                                         = 12 × 15

                                         = 180 m²

Area of the trapezoid (3) = \frac{1}{2}(12+10)\times 11

                                         = 121 m²

Now area of the wall = 69 + 180 + 121

                                   = 370 m²

One tin covers the area = 25 m²

Number of tins required to paint the wall = \frac{\text{Total area}}{\text{Area covered by one tin}}

= \frac{370}{25}

= 14.8

Therefore, number of tins to be purchased = 15

Cost to paint the complete wall = 15 × £7

                                                       = £105

8 0
3 years ago
Find the zeros of the polynomial function f(x)= x(4x-3)(3x+2)<br> Please show work thank you
xz_007 [3.2K]

Answer:

x = -2/3, 0, 3/4

Step-by-step explanation:

The zeros of the polynomial are the solutions or roots or x-intercepts of the function. To find them, use the zero product property to solve for x. Use the property by setting each factor equal to 0.

x = 0                            4x-3=0                 3x+2 = 0

                                     x = 3/4                    x = -2/3

6 0
2 years ago
Read 2 more answers
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