Answer:
(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.
Step-by-step explanation:
In Triangles WUV and XZY:
Therefore:
To show that the triangles are similar by the SSS similarity theorem, we have:
As a check:
The correct option is A.
Answer:
1/4 of an hour, or 60/4=15, 15 minutes.
Step-by-step explanation:
24/1=6/x
cross product
1*6=24*x
6=24x
x=6/24
x=1/4
ANSWER:
x > - 1
STEP-BY-STEP EXPLANATION:
- 10 < x - 9
x - 9 > - 10
x > - 10 + 9
x > - 1
The formula for distance is equal to:
d = v * t
where d is distance, v is velocity or speed, and t is
time
Since the distance travelled by the two airplane is
similar, therefore we can create the initial equation:
v1 * t1 = v2 * t2
We know that v1 = 496, and v2 = 558 so:
496 t1 = 558 t2
or
x = 558 t2 / 496
We also know that airplane 1 travelled 30 minutes (0.5
hours) earlier than airplane 2, therefore:
x = t2 + 0.5
Hence,
496 (t2 + 0.5) = 558 t2
496 t2 + 248 = 558 t2
t2 = 4 hours
x = t2 + 0.5 = 4 + 0.5
x = 4.5 hours
So the equation is:
x = 558 t2 / 496
And the first plane travelled:
x = 4.5 hours
The angle of 25° is the complement of the angle of 65° and the angle of 65° is the complement of the angle of 25°.
