The ways to illustrate the shapes are given.
<h3>How to depict the shape?</h3>
11. In each new figure, one vertex is introduced, and each vertex is joined to each other vertex.
12. In each new figure, 2 rows and 1 column are introduced, and the shading at the corner moves 90 degrees clockwise.
13. In each new figure, one row and one column are introduced, and exactly half of the rectangles are shaded.
14. In each new figure, except at the bottom vertex, two perpendicular lines are introduced at the remaining vertices.
15. In each new figure, one inverted white triangle is inscribed in the orange triangle.
16. The number of squares increases in the pattern. There are blue circles inscribed in one diagonal square and there are yellow circles inscribed in the remaining squares. Also, the blue circles in the diagonal alternate.
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Answer:
The slope of the line that passes through (-2, 7) and (4, 9) is 1/3.
Step-by-step explanation:
m = (y2 - y1)/(x2 - x1)
Substituting the values
m = (9 - 7)/(4 + 2)
So we get,
m = 2/6
m = 1/3
We can use the definition of the sine to help us solve this problem.
The sine of an angle is the opposite side divided by the hypotenuse.
Using this information, we can create an equation that solves for x.
Multiply both sides by 4.1
Use a calculator to help solve for sin(35).
I hope this helps! :)
Question 1:Multiply both sides of the proportion by 35.
You get.
7(x-1) = 4x+2
7x-7 = 4x+2
Now, add both sides by 7 and subtract both sides by 4x
3x = 9
Divide both sides by 3
x=3
Question 2:Multiply both the numerator and the denominator of
by 3.
We want to multiply it by 3 so that the +1 and +3 become +3 and +9. +3 and +9 have a difference of 6, just like 15 and 21, which is what we want.
Set the numerator equal to the numerator and the denominator equal to the denominator.
3x+3 = 15
3x+9 = 21
If you solve both of these, you get x=4 for both.
That's your answer.
Hope this helps! :)