Answer:
3x^2+15x-1=0
Step-by-step explanation:
4/(3x+15)=4x
4=12x^2+60x
12x^2+60x-4=0
3x^2+15x-1=0
Please solve after that, I cannot do everything for you
Answer:
The measure of angle ABT is 28°
Step-by-step explanation:
* Lets revise the bisector of a angle
- If a ray bisects and angle that mean the ray divide the angle into
two equal parts in measure
- Ex: if the ray BD bisects angle ABC, then the measure of angle ABD is
equal to the measure of angle CBD
* Lets solve the problem
∵ BT bisects ∠ABC
∴ m∠ABT = m∠CBT
∵ m∠ABT = 4x - 16
∵ m∠CBT = 2x + 6
- Equate the two values
∴ 4x - 16 = 2x + 6
- Lets solve the equation by subtracting 2x from both sides and
adding 16 to both sides
∴ 4x - 2x = 6 + 16
∴ 2x = 22 ⇒ divide both sides by 2
∴ x = 11
- Lets find the measure of angle ABT
∵ m∠ABT = 4x - 16
- Substitute x by 11
∴ m∠ABT = 4(11) - 16 = 44 - 16 = 28°
* The measure of angle ABT is 28°
Answer:
Boys: 21.22 Girls: 16.89
Answer: A
Step-by-step explanation:
Add all the data points and divide it by the number of the data points.
Answer:
There are 2 cups in a pint is correct
Answer:
Return on investment (ROI) = 7%
Step-by-step explanation:
Given:
Amount invested = $10,000
Total amount get (refund) = $10,700
Find:
Return on investment (ROI) = ?
Computation:
Amount Return = Total amount get (refund) - Amount invested
Amount Return = $10,700 - $10,000
Amount Return = $700
![Return\ on\ investment \ (ROI) = [\frac{Amount\ Return}{Amount\ invested} ]100\\\\Return\ on\ investment \ (ROI) = [\frac{700}{10,000} ]100 \\\\ Return\ on\ investment \ (ROI) =7](https://tex.z-dn.net/?f=Return%5C%20on%5C%20investment%20%5C%20%28ROI%29%20%3D%20%5B%5Cfrac%7BAmount%5C%20Return%7D%7BAmount%5C%20invested%7D%20%5D100%5C%5C%5C%5CReturn%5C%20on%5C%20investment%20%5C%20%28ROI%29%20%3D%20%5B%5Cfrac%7B700%7D%7B10%2C000%7D%20%5D100%20%5C%5C%5C%5C%20Return%5C%20on%5C%20investment%20%5C%20%28ROI%29%20%3D7)
Return on investment (ROI) = 7%
