Answer:
Angle A is 101
Angle B is 79
Angle C is 83
Angle D is 97
Step-by-step explanation:
Vertical angles are congruent, which applies to C.
Lines are parallel so 79 and angle B are the same
Angle a is 101 because its a supplementary angle
Angle D is 97 because its also a supplementary angle so you subtract 83 from 180.
Answer:
0.75
Step-by-step explanation:
Time = D/S
D = 1.4 km
S = 112km/h
Time = 14/1120
=1/80
1/80 × 60 ( 1 hour =60 s)
=0.75 second
You can do this by finding the lengths of RT , RS and ST using the distance formula
RT = sqrt ((0- -5)^2 + (4 - -6)^2)
= sqrt (5^2 + 10^2) = sqrt 125
RS = sqrt ((-3- -5)^2 + (-2 - -6)^2))
= sqrt ( 2^2 + 4^2) = sqrt 20
ST = sqrt 125 - sqrt 20
RS / ST = sqrt 20 / (sqrt 125-sqrt 20)
so the ratio RS:ST = 2:3
Its B
Answer:
The midpoint is (2.5,4.5)
Step-by-step explanation:
To find the x coordinate of the midpoint, add the x coordinates of the endpoints and divide by 2
(4+1)/2 = 5/2 = 2.5
To find the y coordinate of the midpoint, add the y coordinates of the endpoints and divide by 2
(6+3)/2 = 9/2 = 4.5
The midpoint is (2.5,4.5)
Number of +ve integers divisible by 2 less than or equal to 210=a=210/2=105
number of +ve integers divisible by 3 less than or equal to 210=b=210/3=70
number of +ve integers divisible by 7 less than or equal to 210=c=210/7=30
number of +ve integers divisible by 2&3 less than or equal to 210=d=210/6=35
number of +ve integer divisible by 2&7 less than or equal to 210=e=210/14=15
number of +ve integer divisible by 3&7 less than or equal to 210=e=210/21=10
number of +ve integer divisible by 2&7&3 less than or equal to 210=e=210/42=5
<span>number of positive integers not larger than 210 and divisible by 2, 3 or 7=105+70+30-(35+15+10)+5
=150
so numbers not divisible=total-150
=210-150
=</span>60