Answer:
K = 4/9
Step-by-step explanation:
Answer:



Step-by-step explanation:
From the attachment, we have:



Rotation: 180 degrees clockwise
Required
Find J', K' and L'
When a point (x, y)is rotated 180 degree clockwise, the resulting point is: (-x, -y)
So, we have:



Answer:
The actual distance between the cities is 211.67 cm.
Step-by-step explanation:
Given:
The map key indicates that 4.5 cm is equivalent to 75 cm.
Now, to find the actual distance between the cities if the cities are 12.7 cm apart on the map.
Let the actual distance be
.
So, we set a proportion to find the actual distance:
4.5:12.7 = 75:x.
<em>Changing into fractions.</em>

<em>By cross multiplication we get:</em>

<em>Dividing both sides by 4.5 we get:</em>

Therefore, the actual distance between the cities is 211.67 cm.
Answer:
Angle A = 30.8
Angle B = 33.2
Step-by-step explanation:
180 - 116 = 64
This means that the other two angles need to add up to 64.
I just plugged in numbers until it worked.
I got that x = 14.6
2x + 4
2(14.6) + 4
29.2 + 4
33.2
3x - 13
3(14.6) - 13
43.8 - 13
30.8
Those are your angles. To make sure they are correct you just need to add up all the angles and make sure that they equal to 180.
116 + 33.2 + 30.8 =
180