Answer:
26.1miles
Step-by-step explanation:
If three cities A, B and C form a right triangle on a map, and the Cities B and C are the furthest apart, then the distance between cities B and C will be the hypotenuse of the triangle.
If cities A and B are 14 miles apart, then |AB| = 14miles
Also if cities A and C are 22 miles apart, then |AC| = 22miles.
To get |BC| which is the distance between cities B and C, we will use the Pythagoras theorem.
|BC|² = |AB|² + |AC|²
|BC|² = 14²+22²
|BC|² = 196+484
|BC|² = 680
|BC| = √680
|BC| = 26.1miles
This means that cities B and C are 26.1miles apart
Answer:
180
Step-by-step explanation:
From the table :
Slope :
m = (y2 - y1) / (x2 - x1)
m = (100 - 80) / (5 - 4)
m = 20 / 1
m = 20
y = 20x
Hence, when, x = 12
y = 20 * 12
y = 240
From the graph:
Slope :
m = (y2 - y1) / (x2 - x1)
m = (280 - 70) / (8 - 2)
m = 210 / 6
m = 35
y = 35x
When x = 12
Graph :
y = 35 * 12
y = 420
Difference :
420 - 240
= 180
Start by getting all terms with x on one side and all terms without on the other.
6x+7=8x-15
subtract 6x from both sides
7=2x-15
add 15 to both sides
22=2x
divide both sides by 2
11=x
Answer:
76, 76 104
Step-by-step explanation:
Angle 3 is vertical so it is congruent to Angle 2.
Angle 6 is corresponding, so it is congruent to Angle 2.
Angle 8 is linear to Angle 6, so they add to 180
