Answer:
Yes triangle ABC and DEF are similar.
Step-by-step explanation:
One rule of triangles is that all the angles in a triangle will add up to 180 degrees.
Now, first, you will figure out the remaining angle in triangle ABC.
- Add up 35 and 20. (35 + 20 =55)
- Subtract 55 from 180 (180-55= 125)
- When you add 125, 35, and 20, you get 180, which should happen due to the rule of all angles in a triangle add up to 180.
Now, in triangle DEF, one angle is 125 and the other is 35. To find the other angle add 125 and 35 and subtract the sum of those two numbers from 180.
- 125 + 35 = 160
- 180-160= 20
The remaining angle is 20 degrees
As you can see, triangle ABC shares the same angles as triangle DEF.
This tells you that triangle ABC and triangle DEF are both similar due to the fact that they have the same measurements of triangles.
You can also tell they are similar because two angles in triangle ABC equal two angles in triangle DEF because of the Angle-Angle (AA) Similarity
I hope this explanation helped and have a good day!
Let us draw a triangle ABC with A=15° ,B=113° and b=7.
Please see the attached image.
We know that the sum of interior angles of a triangle is 180 degrees. Thus, we have
Apply Sine rule in the triangle ABC, we get
Therefore, we have
Step-by-step explanation:
I don't know if it's correct
The answer is <span>1) ± √x+81
</span>
Step 1: Substitute y for f(x). <span>
Step 2: </span>Since every (x, y) has its partner (y, x)y switch x and y.
Step 3: <span>Solve for y.
Step 1.
The function is: f(x) = x</span>² - 81
Substitute y for f(x): y = x² - 81
Step 2.
Switch x and y: x = y² - 81
Step 3.
Solve for y (which is now f⁻¹(x)): f⁻¹(x) = y
x = y² - 81
y² = x + 81
y = +-√(x+81)
Therefore, the choice 1) is correct.
