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°
<span>distributive property
</span><span>B. −3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08) </span>
Differentiate using the exponential rule, which determines that ![\bf{\frac{d}{dx}[a^{x}] }](https://tex.z-dn.net/?f=%5Cbf%7B%5Cfrac%7Bd%7D%7Bdx%7D%5Ba%5E%7Bx%7D%5D%20%20%7D)
is 
when a=3.
Therefore, the correct option is "E". You just have to remove the parentheses.
Answer:
B
Step-by-step explanation:
(1/3)^-4
=1/[(1/3)^4]
=1/(1/81)
=81
