Scale factor is defined as a number which multiplies or scales some quantity.
The shape of the figure remains same, the image becomes larger or smaller.
If the scale factor is greater than one, then the image is enlarged.
If the scale factor is less than 1 but greater that 0, then the image becomes smaller.
In the above image, AD = 2 units.
It's corresponding side PS = 3 units
Similarly AB = 1 unit and PQ = 1.5 units
Hence , 1 * 1.5 = 1.5
2*1.5 = 3
Hence, the scale factor of the given image is 1.5 ... Answer
Two similarities between constructing a perpendicular line through a point on a line and constructing a perpendicular through a point off a line are;
- 1. Arcs are drawn to cross the given line twice on either side relative to the point
- 2. The perpendicular line is drawn using a straight edge by connecting the small arcs formed using the arcs from step 1, to the point on the line or off the line
Description:
1. One of the first steps is to place the compass on the point and from
point, draw arcs to intersect or cross the given line at two points.
2. The compass is placed at each of the intersection point in step 1 and
(opened a little wider when constructing from a point on the line) arcs are
drawn on one (the other side of the point off the line) side of the line with
the same opening (radius) of the compass to intersect each other.
3. From the point of intersection of the arcs in step 2, a line is drawn with a
straight edge passing through the given point.
Learn more about perpendicular lines here:
brainly.com/question/11505244
Answer:
-6
Step-by-step explanation:
3n = n² - 54
n² - 3n - 54 = 0
n² - 9n + 6n - 54 = 0
n(n - 9) + 6(n - 9) = 0
(n - 9)(n + 6) = 0
n = 9 , -6
Answer:
d = 36 km
Step-by-step explanation:
Speed of Jim, v = 18 km/h
Time, t = 2 hours
We need to find the distance covered. We know that the speed of an object is equal to the distance covered by it divided by total time taken.
So, he will cover 36 km.
The given above is are triangles, as per the proof the line segments on top and bottom part are parallel. Also, it is given that two pairs of the angles of the triangles are congruent.
The triangles also share one common side, CA. Since, this side is between the angles the postulate that will prove the congruence of the triangles is ASA.
The answer to this item is the third choice.
