<h3>Answers: </h3>
Angle 1 and 3: Vertical Angles
Angle 4 and 8: Corresponding Angles
Angles 4 and 6: Alternate Interior Angles
Angles 3 and 5: Alternate Interior Angles
Angles 7 and 8: Linear Pair
Angles 1 and 7: Alternate Exterior Angles
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Explanation:
Vertical angles are formed when you cross two lines to form an X shape. The vertical angles are opposite one another in this configuration.
Corresponding angles are ones that show up in the same corner of each four-corner crossing. In the case of angles 4 and 8, both are in the southwest corner of each four-corner crossing.
Alternate interior angles are angles in between parallel lines and on opposite sides of a transversal. Alternate exterior angles are similar, but they are outside the parallel lines.
A linear pair of angles are adjacent and supplementary (meaning they add to 180).
We use y=mx+c we know that c= 4 A’s this is the y intercept . Next we need to work out the gradient(m). For every two squares along we go three squares up. This means are gradient is 1.5. Finally we input are values into the equation y=1.5x+4
The rewritten form of the expression given in the task content in which case, the properties of the logarithm are used is; log2(z³/y²) + log9(y⁴x¹²).
<h3>What is the equivalent expression to the logarithmic expression given in the task content?</h3>
It follows from the task content that the logarithmic expression given in the task content is;
log2z + 2log2z + 4log9y + 12log9x - 2log2y
In which case, all terms are to their respective logarithmic bases.
Hence, it follows that; we have;
log2z³ - log2y² + log9y⁴ + log9x¹²
= log2(z³/y²) + log9(y⁴x¹²)
Read more on logarithm laws;
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Let the width of the rectangle be x
Then length =x-4
Area=x(x-4)=140
x²-4x=140
x²-4x-140=0
x²-14x+10x-140=0
x(x-14)+10(x-14)=0
(x-14)(x+10)=0
Therefore,length=14 cm and width=10 cm
Answer:
12.2%
Step-by-step explanation:
Her total paycheck minus her salary = the commission amount
So
6500 - 1000 = 5500
So....her commission as a percentage of sales = 5500/ 45000 = about 12.2%
