Answer:
We can introduce a variable ( a letter representing an unknown ) to help us solve this question.
Let χ = "a number..."
We can rewrite the sentence in the following way:
7( χ + 2 ) = 8
To solve for χ , we can first distribute 7:
7 ∗ χ + 7∗(2) = 8
7χ + 14 = 8 ⇐ since 7 times 2 is 14
Let's get χ by itself first. We do so by subtracting 14 from both sides of the equation:
7χ + 14 - 14 = 8 - 14
7χ + 0 = -6 ⇐
7χ = -6 ⇐
The last number in our way is that 7. Let's divide both sides by 7 ( which is the same as multiplying both sides by 1 / 7 ) to figure out what χ is:
7χ ∗ ( 1 / 7 ) = -6 ∗ ( 1 / 7 )
χ ∗ ( 7 / 7 ) = - 6 / 7 ⇐
χ ∗ ( 1 ) = - 6 / 7 ⇐
χ = - 6 / 7
Therefore ( we can also use ∴ to represent the word "therefore" ) our number in question is -6 / 7
Step-by-step explanation:
Answer:
D) The original population of State A was one -fourth the times of the orignal population of State B
Step-by-step explanation:
The triangles are similar because all pairs of corresponding angles are congruent.
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<h2>
Answer:</h2>
<em>(Check the attached image).</em>
<h2>
Step-by-step explanation:</h2>
<h3>
1. Identify the given information.</h3>
a. We have the slope of the line, 1/4.
b. We also have a point of said line, because when the question states "y-intercept 5..." it's telling us that the lines touches the y intercept on the value y= 5, and this only happens when x= 0. Hence, a given point is (0, 5).
• Formula for constructing linear equations.
Formula: 
; where m is the slope of the function; x1 is the x value of a point the function passes through, and y1 is the y value of a point the function passes through.
<h3>2. Substitute in the formula and calculate the equation of the line.</h3>
<h3>3. Graph the line.</h3>
<em>(Check the attached image).</em>
