The answer for your question is x=-1
For # 1, the answer will be 1 because of the exponential rule
![a^{0} = 1](https://tex.z-dn.net/?f=%20a%5E%7B0%7D%20%3D%201)
.
#2, the answer is going to be
![x^{4}](https://tex.z-dn.net/?f=%20x%5E%7B4%7D%20)
because of the exponential rule
![a^{-b} = \frac{1}{a ^{b} }](https://tex.z-dn.net/?f=%20a%5E%7B-b%7D%20%3D%20%5Cfrac%7B1%7D%7Ba%20%5E%7Bb%7D%20%7D%20)
.
#3. I'm not sure that this could be simplified any further.
#4 To get the answer to this question, we must apply the distributive property, along with the exponential rule
. When we apply these properties, we'll get
![- \frac{3}{x^4}](https://tex.z-dn.net/?f=-%20%5Cfrac%7B3%7D%7Bx%5E4%7D%20)
For the other questions, they all apply the Laws of Exponents.
You add all the sides together and divide by the number of side so in your case it would be 6 sides and you should get your perimeter i think thats how you do it i could be wrong
Answer:
Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.
Step-by-step explanation:
We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.
Triangle ABC:
Measure of angle A= 60°
Measure of angle C= 40°
Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°
Triangle DEF
Measure of angle E= 80°
Measure of angle F= 40°
Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°
The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.
The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.
Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.
The answer is -270 because its closer to 0 than any other numbers