Answer:
1/∛x
Step-by-step explanation
Based on the therem of power of exponents;
a^-m = 1/a^m
Given the expression
x^-1/3
On comparison, you ca see that;
a = x
m = 1/3
Substitute into the general formula;
x^-1/3 = 1/a^1/3
Also, ![a^{\frac{1}{x} } = \sqrt[x]{a}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7B1%7D%7Bx%7D%20%7D%20%3D%20%5Csqrt%5Bx%5D%7Ba%7D)
Hence;
![\frac{1}{x^{\frac{1}{3} } } = \frac{1}{\sqrt[3]{x} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%5E%7B%5Cfrac%7B1%7D%7B3%7D%20%7D%20%7D%20%3D%20%5Cfrac%7B1%7D%7B%5Csqrt%5B3%5D%7Bx%7D%20%7D)
This that the required expression is 1/∛x
Step-by-step explanation:
- right triangle is A right triangle or right-angled triangle is a triangle in which one angle is a right angle
- acute triangle is An acute triangle is a triangle with three acute angles. An obtuse triangle is a triangle with one obtuse angle and two acute angles
- obtuse triangle is An obtuse triangle is one that has an angle greater than 90°. Because all the angles in a triangle add up to 180°, the other two angles have to be acute (less than 90°). It's impossible for a triangle to have more than one obtuse angle.
Answer:
Option B is correct.
Angle DAC is congruent to angle DAB
Step-by-step explanation:
Given: Segment AC is congruent to segment AB.
In ΔABD and ΔACD
[Given]
[Congruent sides have the same length]
AB = AC [Side]
AD = AD [Common side]
[Angle]
Side Angle Side(SAS) Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Then by SAS,

By CPCT [Corresponding Parts of congruent Triangles are congruent]
then;

therefore, only statement which is used to prove that angle ABD is congruent to angle ACD is: Angle DAC is congruent to DAB