Answer:
x=5
Step-by-step explanation:
We can use the Triangle Angel Bisector Theorem
AB 2x-1
----------= --------------
AC 3x
9 2x-1
----------= --------------
15 3x
Using cross products
3x*9 = 15*(2x-1)
Distribute
27x = 30x-15
Subtract 30x from each side
27x-30x = 30x-30x-15
-3x = -15
Divide by -3
-3x/-3 =-15/-3
x =5
Answer:
The bottom right (v shaped one) is a function
Step-by-step explanation:
Hope this helps:)
Answer:
20
Step-by-step explanation:
10+10+10+10=40
40/2=20
Remark
There is no short way to do this problem and no obvious way to get the answer other that to solve each part.
Solve
A
Multiply by 2
x + 1.6 = 2(x + 0.1) Remove the brackets
x + 1.6 = 2x + 0.1*2
x + 1.6 = 2x + 0.2 Subtract x from both sides
1.6 = x + 0.2 Subtract 0.2 from both sides
1.6 - 0.2 = x
1.4 = x
Circle A
B
Subtract 2x from both sides.
3x - 2x = 1.4
Circle B
C
Remove the brackets.
4x + 6 = 2x - 6 Add 6 to both sides
4x + 12 = 2x Subtract 4x from both sides.
12 = -2x Divide by - 2
12/-2 = x
x = - 6 Don't circle C
D
I'm going to be very scant in my solution of this. You can fill in the steps.
3x = 4.2
x = 4.2/3
x = 1.4
Circle D
Answer:
1. P ( tails) = 1/2
2.P (number greater than 4) = 1/3
3. P (2 die sum to 8) = 5/36
Step-by-step explanation:
A coin only has 2 possibilities, head or tails, and they are equally likely
So the probability of getting a tails is 1/2
P ( tails) = 1/2
A die has the numbers 1,2,3,4,5,6 . There are 2 numbers greater than 4. They are 5 and 6. So there are 2 of the 6 choices that work.
P (number greater than 4) = 2/6 = 1/3
See the dice chart
There are 36 possibilities when you roll the die.
There are 5 that sum to 8
P (2 die sum to 8) = 5/36