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Cerrena [4.2K]
3 years ago
12

What’s the value for X?

Mathematics
1 answer:
jolli1 [7]3 years ago
6 0

Answer: x = 5

Step-by-step explanation: This is an isosceles triangle, which means two sides are equal in length and two angles are equal in measurement.

Line BA = Line BC

Similarly, Angle A = Angle C

Angle A plus Angle C equals 146°

Also the sum of the interior angles of a triangle is 180°

Therefore, 146 + (6x + 4) = 180

Subtract 146 from both sides of the equation

6x + 4 = 34

Subtract 4 from both sides of the equation

6x = 30

Divide both sides of the equation by 6

x = 5

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The table can be used to determine the solution of equations, 2x - 2y = 6 and 4x + 4y = 28.
NeTakaya

Answer:

(5, 2)

Step-by-step explanation:

Given the following system of equations;

2x - 2y = 6  ......equation 1.

4x + 4y = 28  ......equation 2.

To get an equivalent equation, we would multiply eqn 1 by 2;

2 * (2x - 2y = 6) = 4x - 4y = 12

The new equivalent system of equations are;

4x - 4y = 12

4x + 4y = 28  

Adding the equivalent system of equations, we have;

(4x + 4x) + (-4y + 4y) = (12 + 28)

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8x = 40

x = 40/8

<em>x = 5</em>

Next, we would find the value of y;

2x - 2y = 6

Substituting the value of x, we have;

2(5) - 2y = 6

10 - 2y = 6

Rearranging the equation (collecting like terms), we have;

2y = 10 - 6

2y = 4

y = 4/2

<em>y = 2</em>

<em>Therefore, the solutions to the new system of equations are 5 and 2.</em>

<u>Check:</u>

2x - 2y = 6

Substituting the values, we have;

2(5) - 2(2) = 6

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3 years ago
Find the distance, c, between (–3, 4) and (2, –3) on the coordinate plane. Round to the nearest tenth if necessary.
andriy [413]

Using the distance formula, the distance between (-3, 4) and (2, -3) is: 8.6 units.

<h3>What is the distance formula?</h3>

Distance formula for calculating the distance between two points on a coordinate plane is given as: d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.

Let,

(-3, 4) = (x1, y1)

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Plug in the values

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