A direct variation suggest that the value of x in the equation would greatly affect the value of y such that when x is increasing, y also increases and the other way around. The equation for a direct variation is that,
y = kx
Substituting the given values in the ordered pair,
5 = k(4) ; k = 5/4
Answer: True, angles that are congruent are equaled to each other
Answer:
AB ║ CD. (Proved)
Step-by-step explanation:
See the attached diagram of the triangle.
It is given that Δ ACD is an isosceles triangle.
Therefore, AC = AD and ∠ ACD = ∠ ADC, ⇒ ∠ 3 = ∠ 4 .......... (1)
Again, given that ∠ 1 = ∠ 3 ........... (2)
Now, from equations (1) and (2) we can write, ∠ 1 = ∠ 4
Now, AB and CD are two straight lines and AD is the transverse line and hence, ∠ 1 and ∠ 4 are alternate angles that are equal.
Therefore, AB and CD are parallel straight lines and AB ║ CD. (Proved)
Answer:
n+16
Step-by-step explanation:
21+(n-5)=21+n-5=n+21-5=n+16
Answer:
The answer is 8cm.
Step-by-step explanation:
The scale drawing uses a ratio of 2cm:1m. If the actual car is 4 meters long, you would multiply 2 by 4 to get 8cm. The actual new ratio on the map is 8cm:4m, which is equivalent to the one in the problem.
