Given:
A bisector is a line or point that divides a line in half. So point M is in the middle of the entire line ST.
The bisector would be the line MW
This means line MT is half of the enitre line ST so then the entire line is 19*2.
Answer:
ST = 38
Bisector is line MW
Answer:
1/45
Step-by-step explanation:
I assume there are 10 marbles total, 2 of which are yellow.
The probability the first marble is yellow is 2/10.
There's now one less marble, so the probability that the second marble is yellow is 1/9.
The total probability is (2/10) (1/9) = 1/45.
Let the shortest side be x. Then the other two sides will be x+1 and x+2.
Perimeter = P = sum of the lengths of all three sides = x + (x+1) + (x+2)
This perimeter = 4x -1 (1 less than 4 times the shortest side).
Then x + x + 1 + x + 2 = 4x - 1
or: 3x + 3 = 4x -1 Subtr. 3x from both sides:
3 = x - 1
x=4, x+1=5, and x+2=6
The 3 sides have lengths 4, 5 and 6.
Answer:
32 and 58
Step-by-step explanation:
Let's set up equations.
The sum of two numbers (x and y) is 90: x + y = 90
The larger number (y) is 6 less than twice the smaller number (x): y = 2x - 6
We have our system of equations:
x + y = 90
y = 2x - 6
Let's use substitution.
Substitute y = 2x - 6 into the first equation.
x + y = 90
x + (2x - 6) = 90
Combine like terms.
x + 2x - 6 = 90
3x - 6 = 90
Add 6 to both sides to isolate x.
3x = 96
Divide both sides by 3 to further isolate x.
x = 32
Now that we know x, let's find y.
Plug in x = 32 into one of our original equations.
y = 2x - 6
y = 2(32) - 6
Multiply.
y = 64 - 6
y = 58
Now we have x = 32, y = 58.
Check your answer by plugging these values into one of our original equations.
x + y = 90
32 + 58 = 90
Add.
90 = 90
Your solution is correct.
Hope this helps!
