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Lena [83]
3 years ago
5

The measures of the angles of a triangle are ∠A = (2x)°, ∠B = (x+14)°, ∠C = (x−38)° Determine the value of x. Determine A B and

C PLEASE HELP
Mathematics
1 answer:
nexus9112 [7]3 years ago
4 0

Answer:

Step-by-step explanation:

Measures of angles are,

m∠A = (2x)°

m∠B = (x + 14)°

m∠C = (x - 38)°

By triangle sum theorem,

m∠A + m∠B + m∠C = 180°

2x + (x + 14) + (x - 38) = 180

(2x + x + x) + (14 - 38) = 180

4x - 24 = 180

4x = 204

x = 51

m∠A = 2(51)° = 102°

m∠B = (51 + 14)° = 65°

m∠C = (51 - 38)° = 13°

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Helga [31]

Answer: \dfrac{K}{2} .

Step-by-step explanation:

As we know ,

The slope of a line that passes through (x_1,y_1) and (x_2,y_2)  is given by :

\dfrac{y_2-y_1}{x_2-x_1}

The slope of a line that passes through (1 , 7K), and (-3,5K)​ =

\dfrac{5K-7K}{-3-1}\\\\=\dfrac{-2K}{-4}\\\\=\dfrac{K}{2}

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8 0
3 years ago
7x+8(x+1/4)=3(6x-9)-8 need a solution for this problem
valentina_108 [34]
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5 0
3 years ago
Estimate the area of Alberta in square miles. Show your reasoning
ella [17]

Answer:  About 278,250\ mi^2

Step-by-step explanation:

The missing figure is attached.

Notice in the first picture that Alberta has a complex shape.

You can calculate the area of a complex shape by decomposing it into polygons whose areas can be calculated easily.

Observe the second picture. Notice that it can be descompose into two polygons: A trapezoid and a rectangle.

The area of the trapezoid  can be calcualted with the formula:

A_t=\frac{h}{2}(B+b)

Where "h" is the height, "B" is the long base and "b" is short base.

And the area of the rectangle can be found with the formula:

 A_r=lw

Wkere "l" is the lenght and "w" is the width.

Then, the apprximate area of Alberta is:

A=\frac{h}{2}(B+b)+lw

Substituting vallues, you get:

A=(\frac{(410\ mi-180\ mi)}{2})(760\ mi+470\ mi)+(180\ mi)(760\ im)\\\\A=141,450\ mi^2+136,800\ mi^2\\\\A=278,250\ mi^2

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5 0
3 years ago
Which side is adjacent to
Akimi4 [234]

Answer:

Answer is on the pic

Step-by-step explanation:

I hope it's helpful!

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3 years ago
Ellie borrows money at a year simple rate of 6 1/2% after 4 years ellie owes 39 interest
kupik [55]

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Step-by-step explanation:

I = PRT

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39 = P x 0.26

Divide both sides by 0.26

150 = P

6 0
2 years ago
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