9514 1404 393
Answer:
15
Step-by-step explanation:
In vector form, the equation of point p on the line can be written as ...
p = (-3, -4) +t(25 -(-3), 38 -(-4)) . . . . . for some scalar t
p = (-3, -4) +t(28, 42)
p = (-3, -4) +14t(2, 3)
where t takes on any value between 0 and 1.
If we let t = n/14 for some integer 0 ≤ n ≤ 14, then the coordinates of point p will be integers.
There are 15 values that n can have in the allowed range.
The caterpillar touches 15 points with integer coordinates.
Answer:
Step-by-step explanation:
You need to set up a proportion
Let x = NK
7/13 = x/56 Notice that the longest side of the small trapezoid is the denominator of the fraction on the left. That means that the longest side of the large trapezoid must also be the denominator of that fraction on the right.
Cross multiply
13x = 7*56 Combine the right
13x = 392 Divide by 13
x = 392/13
x = 30.15
NK = 30.15
Answer: -n-4
Step-by-step explanation:
Distribute the - to n and 4
Answer:
Since, In Quadrilaterals KLMN and quadrilateral WXYZ,
Sides Kl, LM, MN and NK are corresponding to the sides WX, XY, YZ and ZW respectively.
Also, If two shapes are similar the ratio of their corresponding sides must be same are in same proportion,
Here, Quadrilateral KLMN is similar to quadrilateral WXYZ,
Therefore,
Which is the required proportion that must be true for the given figure.
