Answer:
402
Step-by-step explanation:
The standard formula for the nth term of an arithmetic sequence is:
t + (n - 1)d
where t is the first term and d is the common difference. We can substitute to create a system of equations to solve for the first term and common difference:
22 = t + (5 - 1)d
62 = t + (15 - 1)d
22 = t + 4d
62 = t + 14d
We can use elimination to cancel out t:
62 = t + 14d
-( 22 = t + 4d )
40 = 10d
d = 4
Now, we can substitute the common difference to find the first term:
22 = t + 4*4
22 = t + 16
t = 6
Lastly, we can substitute values in the first equation to find the 100th term:
a100 = t + (n - 1)d
a100 = 6 + (100 - 1)(4)
a100 = 6 + (99)(4)
a100 = 6 + 396
a100 = 402
Answer:
Figure B would be a transformation down.
Figure C would be a reflection.
Figure D would be a rotation of 180°.
The probability that he will choose a girl is 3/4 times.
Answer:
4Q a). angle1=55°
angle2=23°
angle3=63°
angle4=125°
5Q. x=35°
6Q. y=15°
8Q. C. 28°
9Q. Yes, they are congruent by S.S.S. congruence
10Q. A.A.S.
11Q. S.S.S.
12Q. Not possible
13Q. S.A.S.
14Q. S.S.S.
15Q. 66°
16Q. 24°
I hope it will be useful.
Step-by-step explanation:
7Q. angle1=angle3 (Alternate Interior Angles)
angle2=angle4 (A.I.A.)
angleXWZ=angleXYZ (opposite angles of a parallelogram)
By A.A.A. congruence criteria, they are congruent.
8Q. Hint: Make the diagram first!
AngleC is halved since M is the mid-point.
angleA=angleB (Property of an isosceles triangle)
which implies, angleAMC=angleBMC=90°
Thus, CM is perpendicular to AB.
I hope it will be useful.
Answer:
2.91666666667 or 70/24 or 2 22/24
Step-by-step explanation:
3/4+4/2+1/6
18/24+48/24+4/24
66/24+4/24
70/24