Try drawing the triangles: the original and the dilated one.
If the tangent of x is 4/3, and then all lengths of the original triangle are doubled, then the tangent of x is 8/6 = 4/3. Thus, B is the correct answer.
By using relation between metre and kilometre we got that if The distance from home to the history museum is six and seven-tenths kilometres then he travel 67000 m
What is relation between metre and kilometre?
Relation between metre and kilometre is that 1 kilometre =1000 metre
we know that kilometre and metre are two units of distance and we can convert data from one to another using their relation
Now here given distance is in kilometre
and distance is67 kilometre
We can convert 67 kilometre in metre as
67 kilometre = 67
1000metre
67 kilometre = 67000 metre =67000 m
By using relation between metre and kilometre we got that if The distance from home to the history museum is six and seven-tenths kilometres then he travel 67000 m
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Trapezoid because it doesn't have to parareles sides like the other
Answer:
v = 25
Step-by-step explanation:
The crucial information you need to know to solve this is to realize that HI and GH are the same length. However, why they are equal is not immediately obvious.
Both sides of the middle line (HF) are symmetrical, since G and I are the same distance away from the line, and they both lie on a line perpendicular to the middle line.
Note: we know they're the same distance away due to the small red marks in the lines, indicating that they're the same length.
The angles at G and I in the triangles are also the same, as the lines from G and I both meet at H. If they were different angles, they would each hit a different point on the middle line.
Thus, we can conclude that GH and HI are the same length.
Since we know the following:
GH = 4v - 75
HI = v
We can set GH and HI equal to each other and solve the equation.
4v - 75 = v
Subtract v from both sides:
3v - 75 = 0
Add 75 to both sides:
3v = 75
Divide both sides by 3:
v = 25
Answer: v = 25