Vertical angles equal each other so (13x-85) = 97
we can solve for x:
13x-85 = 97
add 85 to each side:
13x = 182
divide both sides by 13
x = 182 / 13
x = 14
z and 97 are supplementary angles and need to equal 180 degrees
z = 180 - 97 = 83
Answer:
5/8
Step-by-step explanation:
First we need to figure out how many girls and boys there are.
g = girls
b = boys
g = b+8 ( eight more girls than boys)
b = g-8
There are 32 students)
g+b =32
Substitute b = g-8 into the equation
g + (g-8) = 32
Combine like terms.
2g-8 = 32
Add 8 to each side.
2g -8+8 = 32+ 8
2g = 40
Divide by 2
g = 20
There are 20 girls
The experimental probability of picking a girl is
girls/ total
20/32 = 5/8
Answer:
We have ln(b^3) - ln(a^2) = ln(b^3/a^2);
Step-by-step explanation:
They answer D 0 < ; y < 7