Answer:
D. 30 kilometers
Step-by-step explanation:
Add all the given distances relative to the map together:
6.5 + 9.5 + 4 = 20
Multiply that by the scale to convert centimeters to kilometers:
20 x 1.5 = <u>30</u>
Your answer is 30 kilometers.
You also could have gotten the same answer by multiplying each number by the scale and then adding those together but that is slightly more work so the way I showed is more convenient.
Find the hight and the base that might help
Answer:
∠ EFG = 83°, ∠ GCE = 97°
Step-by-step explanation:
Since FE and FG are tangents to the circle then
∠ FGC and ∠ FEC are right angles
The sum of the angles in quadrilateral CEFG = 360°
Sum the 4 angles and equate to 360
3x + 11 + 90 + 5x - 23 + 90 = 360, that is
8x + 168 = 360 ( subtract 168 from both sides )
8x = 192 ( divide both sides by 8 )
x = 24
Thus
∠ EFG = 3x + 11 = 3(24) + 11 = 72 + 11 = 83°
∠ GCE = 5x - 23 = 5(24) - 23 = 120 - 23 = 97°