Answer:
12
Step-by-step explanation:
If you flip the polygon on the right so it looks like the polygon on the left, the scale factor for the small polygon to the big polygon is 32/40 or 4/5.
Now use that scale factor, 4/5, to find the missing length
4/5 = ?/15
5*3 = 15 so 4*3 = ?
? = 12
Answer:
22.5 degrees
Step-by-step explanation:
90 = x + 3x
90 = 4x (divide by 4)
22.5 = x
22.5 + 67.5 = 90
Answer:
The scale used is 1: 10,000 cm.
Step-by-step explanation:
Given that the length of a pool 2 km long is represented on a map with a length of 20cm, to determine what is the map scale used the following calculation must be performed:
2 km = 2,000 m
1m = 100cm
2,000 x 100 = 200,000
20: 200,000
10: 100,000
1: 10,000
Thus, the scale used is 1: 10,000 cm.
E' (-3,-1)
When rotating 180° clockwise about the origin the coordinates of the image will be the same x and y numbers but the opposite sign of the pre-image. Using the above as an example, pre-image E is located at (3,1) so the rotated image would be E' (-3,-1). Pre-image D is located at (-1,3) so the rotated image would be D' (1,-3). Pre-image F is located at (2,-2) so the rotated image would be F' (-2,2).
<span>You are given a positive number x that is divisible by 42. You are also given that the answer must be composed of only 1s and 0s when written in base 10. You are asked to find what is the smallest number that x is.
</span>
We can solve this through trial and error. I manually multiplied numbers starting from 1 and then multiplied it with 42 to see if I can get a value that has a 1 and a 0. So far, the least number is 5.
5 x 42 = 210
But the question asks for a complete 1s and 0s for the answer, and so, by manual multiplication,
42 x 2,405 = 101,010
or
210 x 481 = 101,010
The least number is 5.
