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o-na [289]
3 years ago
6

Please Help! if these two shapes are similar, what is the measure of missing length q?

Mathematics
2 answers:
Maslowich3 years ago
5 0
60 / 96 = 25 / q
5 / 8 = 25 / q
5*q = 8 * 25
5q = 200
q = 40

Check:
60 / 96 = 25 / 40
5/8 = 5/8 :)
denis23 [38]3 years ago
4 0

Answer:

40

Step-by-step explanation:

96 ÷ 60 = 1.6

25 × 1.6 = 40

<em>Disclaimer</em><em>:</em><em> </em>Yay, okay. The person above me got the same answer so this is right.

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Step-by-step explanation:

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Tell whether the lines through the given points are parallel, perpendicular, or neither.
antoniya [11.8K]

Answer:

The Slope of Line 1 is ->  -\frac{2}{9}

The Slope of Line 2 is -> -\frac{9}{2}

These two lines are - >  Perpendicular

Step-by-step explanation:

To find the slope of line one, you follow these steps:

First Coordinate 10 -> x1, 5 -> y1

Second Coordinate -8 -> x2, 9 -> y2

Then insert the assigned values into this equation:  \frac{y2-y1}{x2-x1} -> \frac{9-5}{-8-10} which equals \frac{4}{-18} which simplifies to -\frac{2}{9}

Then do the same process to find the slop of line 2:

First Coord: 2 -> x1, -4 -> y1

Second Coord: 11 -> x2, -6 -> y2

Then insert the values into this equation: \frac{y2-y1}{x2-x1}  ->\frac{11-2}{-6-(-4)} which equals \frac{9}{-2}.

We know the lines are perpendicular by:

a. Typing the equations of the lines into a graphing calculator and observing the graph

b. Looking at the slopes. By looking at the slopes, we see that the slope of line 1 is the reciprocal of line 2, and vice versa. Since reciprocal slopes indicate perpendicular lines, the lines 1 and 2 are perpendicular to each other.

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