Answer:
Step-by-step explanation:
B=3x-2
C=12x+2
D=B=3x-2 (Vertically opposite angles)
A=?
Now; we know, A+B+C+D=360 deg.
=>A=360-(B+C+D)
=360-(3x-2+12x+2+3x-2)
=360-(18x-2) ----[1]
B+C=180 deg. (linear pair)
=> 3x-2+12x+2=180
=> 15x=180
=> x=180/15
=12 ---[2]
subsitute [2] in [1];
=> A= 360-(18x-2)
= 360-(18*12-2)
= 360-(116-2)
= 360-214
= 146 deg.
So, the correct answer is (D).
Hope the answer is useful.
Answer:
The average speed over the time interval from 9 A.M. to noon was of 33.33 mph.
Step-by-step explanation:
The average speed is given by the following equation:
From 10A.M. to noon.
You traveled at 50mph during 2 hours. So how long you traveled?
You traveled 100 miles.
What was your average speed over the time interval from 9 A.M. to noon
From 9 A.M. to 10 A.M, you did not travel.
From 10 P.M. to noon, 100 miles.
So 100 miles during 3 hours.
The average speed over the time interval from 9 A.M. to noon was of 33.33 mph.
Answer:
Step-by-step explanation:
slope=(0-3)/(3-0)=-3/3=-1
y intercept=3
eq. of line is y=-x+3
we are given
We will use rational root theorem to find factors
We can see that
Leading coefficient =1
constant term is 6
so, we will find all possible factors of 6
now, we will check each terms
At x=-2:
We can use synthetic division
we get
so, x+2 will be factor
and we can write our expression from synthetic division as
now, we can find factor of remaining terms
we can use quadratic formula
we can compare our equation with quadratic equation
we get
now, we can plug these values
so, we get
so, we can write factor as
so, we get completely factored form as
...............Answer
Answer:
Option A. Ahmed wins the chess game
Step-by-step explanation:
we know that
The probability of Ahmed winning the chess games is 45%
45%=045/100=0.45
The probability of Ahmen winning the checkers games is 0.36
Compare the probability
0.45> 0.36
so
Is more likely that Ahmed wins the chess game