Answer:
x = 12
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
-2(x - 4) = -16
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute -2: -2x + 8 = -16
- Isolate <em>x</em> term: -2x = -24
- Isolate <em>x</em>: x = 12
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: -2(12 - 4) = -16
- Subtract: -2(8) = -16
- Multiply: -16 = -16
Here we see that -16 does indeed equal -16.
∴ x = 12 is a solution of the equation.
Given:
There are given the equation:
Explanation:
From the equation (1):
Put the value of x into the equation (2):
So,
From the equation (2):
Now,
Put the value of y into the equation (1):
So,
From the first equation:
Final answer:
Hence, the ordered pair of the solution is shown below:
Answer: 226.19 Done and Done
The measure of the indicated angle to the nearest degree is 47°.
<h3>What is the measure of the angle?</h3>
Given the data in the question;
- Adjacent = 36
- Hypotenuse = 53
- Angle θ = ?
From trigonometric ratio, Cosθ = Adjacent / Hypotenuse
Cosθ = 36/53
θ = cos⁻¹( 36/53 )
θ = 47°
Therefore, the measure of the indicated angle to the nearest degree is 47°.
Learn more about trigonometric ratio here: brainly.com/question/28016662
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Answer:
The answer is The first one -10/27
