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: 
Step-by-step explanation:
Given the following inequality:
You need to solve for "x" in order to find the solution.
The steps are:
1. Add 
to both sides of the inequality:
2. Add 
to both sides:
3. Divide both sides by 
:
Notice that "x" is less than 8. This indicates that 8 is not included in the solution and you must use parentheses.
The solution in Interval notation is:
50 / 0.40 = 125
To check your answer, 125 * 0.4 = 50
Answer:
5 9/14
7 1/2
Step-by-step explanation:
a) 4 1/7 + 1 1/2= 4+ 1/7 +1 +1/2 = 5 + 1/7 +1/2 = 5+ 2/14 + 7/14= 5 + 9/14= 5 9/14
b) 4 1/2 ÷ 3/5 = 9/2 ÷ 3/5 = 9/2 *5/3= 3/2*5= 15/2= 7 1/2
Answer:
To round a number to the nearest 1000, look at the hundreds digit. If the hundreds digit is 5 or more, round up. If the hundreds digit is 4 or less, round down
