When something bisects an angle, it cuts that angle in half. This means that ray BD cuts angle ABC in half. Therefore, angle ABD, which is formed by cutting the angle in half, is equal to angle CBD, which is also formed by cutting the angle in half. Because of this, you have to set the equation equal to each other.
9x-18=5x+2
Combine like terms. Add 18 to both sides.
9x=5x+20
Combine like terms. Subtract 5x from both sides.
4x=20
Divide 4 on both sides.
x=5 degrees
Answer: A) The initial number of bacteria is 350.
Step-by-step explanation:
Exponential growth equation:
, where A=Initial value, r= growth rate. (i)
Given: A bacteria sample can be modeled by the function
which gives the number of bacteria in the sample at the end of x days.
Here, 
Compare this equation to (i) , we get A = 350 and r= 0.20 = 20% (growth rate)
So, the best interpretation of one of the values in this function are:
A) The initial number of bacteria is 350.
Answer:
x > -4.
Step-by-step explanation:
Solving for x by dividing -3 to both side leaving x by itself.
When dividing or multiplying a negative value that has a variable the inequality switches sides. Instead of x < -4 it is x > -4. For more information or to understand inequality search for inequality video online.
Answer: 9.19 ft
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.
Sin α = opposite side / hypotenuse
Where α is the angle of elevation of the ladder to the ground, the hypotenuse is the longest side of the triangle (in this case is the length of the ladder), and the opposite side (x) is the height of the top of the ladder above the ground.
Replacing with the values given:
Sin 45 = x/ 13
Solving for x
sin45 (13) =x
x= 9.19 ft
Feel free to ask for more if needed or if you did not understand something.
Answer:
7,8,9
Step-by-step explanation:
The closest you can get to 42 with that equation and it has to use consecutive intergers is 41 and these numbers get you there.