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:
This is an percentage change question, by any chance you have a maths textbook, look for units that contains the topic: Percentage Change. Now, let's get solving! :)
Step-by-step explanation:
Firstly, you must multiply 4.5% with 56. That is: shipping fees x purchase price
That gives ($) 2.52 (this is your answer)
No addition/totaling needed as the question asked ONLY for the shipping fees.
Stay safe and Merry Christmas! :)
Answer:
4.02m
Step-by-step explanation:
carry 1 1
1 . 2 8
+ 2 . 7 4
4 . 0 2
just add the two given numbers
Answer would be C.
Why A would be incorrect: 100m^2 is 100m × 100 m. That would be as big as a football field.
Why B would be incorrect: 1cm^2 is 1cm × 1cm. You can use a regular 15 cm to measure a piece of paper with the length of 1cm each side.
Why C would be correct: 1m^2 = 1m × 1m and it is also equals to 60cm × 60 cm. A 1 meter ruler = 60 cm = 4 times of your average 15 cm ruler. So, it is reasonable that a classroom is 10m by 10m in length and breadth.
Why D would be incorrect: The same explanation applies to here as well. Things that can be measured with 1m × 1m is a square table so your classroom can't be that small to fit an average of 30 to 40 students in there.
I hope my explanations were detailed and easy to understand. :)