Use trigonometry.
tan30° = perpendicular / base
Here for angle 30° , x is perpendicular while 10 is the base.
tan30° = 1/√3
1/√3 = x/10
x = 10/✓3
By rationalising
x = 10√3/3
Hope This Helps You!
Answer:
D
Step-by-step explanation:
Given that the segment is an angle bisector then the ratio of sides and base are equal, that is
=
( cross- multiply )
10x = 72 ( divide both sides by 10 )
x = 7.2 → D
Answer:
b
Step-by-step explanation:
keeping in mind that vertical angles are always congruent.
![\stackrel{\measuredangle A}{7x-6}~~ = ~~\stackrel{\measuredangle B}{8x-27}\implies -6=x-27\implies 21=x~\hfill \underset{\measuredangle B}{\stackrel{8(21)~~ - ~~27}{141}}](https://tex.z-dn.net/?f=%5Cstackrel%7B%5Cmeasuredangle%20A%7D%7B7x-6%7D~~%20%3D%20~~%5Cstackrel%7B%5Cmeasuredangle%20B%7D%7B8x-27%7D%5Cimplies%20-6%3Dx-27%5Cimplies%2021%3Dx~%5Chfill%20%5Cunderset%7B%5Cmeasuredangle%20B%7D%7B%5Cstackrel%7B8%2821%29~~%20-%20~~27%7D%7B141%7D%7D)
Answer:
2.8 hours
Step-by-step explanation:
Distance = rate * time
If the west-bound train travels at a rate of 80 mph for t hours, then the distance it travels is 80t.
If the east-bound train travels at a rate of 90 mph for t hours, then the distance it travels is 90t.
The distance between the trains after t hours is 476; therefore, the distance of the west-bound train plus the distance of the east-bound train equals the total distance between them, 476:
80t + 90t = 476 and
170t = 476 so
t = 2.8 hours