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!
17 dollars total for Jose and Mila's jelly beans.
<em>Add 1.5 and 2.75 together to get 4.25</em>
<em>Multiply 4.25 by 4 to get 17</em>
Answer:
-50 feet
Step-by-step explanation:
The trout is swimming 30 ft below sea level,if it were above sea level it would be positive but since its below it is negative. It then swims 20 feet lower so it would be -50 as a short cut you can use in problems like this one is to ignore the sign's and add it regularly then add the sign after the equation is done.
<em><u>The polynomials are:</u></em>



<em><u>Not a polynomial are:</u></em>
![4\sqrt[3]{x} -\sqrt{x} -20](https://tex.z-dn.net/?f=4%5Csqrt%5B3%5D%7Bx%7D%20-%5Csqrt%7Bx%7D%20%20-20)


<em><u>Solution:</u></em>
Polynomial is an expression with variables and coefficients,
Which involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables
<em><u>Option 1</u></em>
![4\sqrt[3]{x} -\sqrt{x} -20](https://tex.z-dn.net/?f=4%5Csqrt%5B3%5D%7Bx%7D%20-%5Csqrt%7Bx%7D%20%20-20)
Polynomial does not include roots
This is not a polynomial equation
<em><u>Option 2</u></em>

This is polynomial expression involving addition and subtraction between terms with non-negative integer exponents of variables
<em><u>Option 3</u></em>

This is not a polynomial. This equations involves negative integer exponents of variables
<em><u>Option 4</u></em>

This is a polynomial involving addition and subtraction between terms with non-negative integer exponents of variables
<em><u>Option 5</u></em>

This is not a polynomial. This equations involves negative integer exponents of variables
<em><u>Option 6</u></em>

This is a polynomial involving addition and subtraction between terms with non-negative integer exponents of variables