Answer:
m∠EGF = 65° and m∠CGF = 115°
Step-by-step explanation:
Given;
∠EFG = 50°
EF = FG
Solution,
In ΔEFG m∠EFG = 50° and EF = FG.
Since triangle is an isosceles triangle hence their base angles are always equal.
∴
Let the measure of ∠EGF be x.
∴ 
Now by angle Sum property which states "The sum of all the angles of a triangle is 180°."
m∠EFG + m∠FEG + ∠EGF = 180
Hence
m∠EGF = 65°
Also 'The sum of angles that are formed on a straight line is equal to 180°."
m∠EGF + m∠CGF = 180°
65° + m∠CGF = 180°
m∠CGF = 180° - 65° = 115°
Hence m∠EGF = 65° m∠CGF = 115°
C. an isosceles triangle has 2 equal sides.
the reason b and d aren’t true is because the sides add up to be less or equal to the longest side and to make a triangle the 2 sides have to add up to be more than the longest side.
Answer:268.08
Step-by-step explanation:
We will initially rewrite the expression provided for the sake of clarity:
(9 x 10⁵)(6 x 10⁻⁷)
The simplify this type of expression, we must follow the order of operations. We can use the acronym BEDMAS to help us with this problem. BEDMAS refers to the order that mathematical operations take place and states that you first solve whatever is inside brackets (in this case parentheses). This is followed by addressing any exponents. After brackets and exponents it is division and multiplication that take place. Division and multiplication are interchangeable and can take place in either order. The same can be said for addition and subtraction which is the last operation, but each is interchangeable. Following these rules we can solve this expression:
We do not need to solve anything within the parentheses since we are asked to leave the problem in scientific notation. Scientific notation is of the form n x 10ˣ. We do not need to address the exponents either as they are a part of the scientific notation. Next we move on to multiplication which is multiplying the two numbers inside the parentheses.
(9 x 10⁵)(6 x 10⁻⁷)
We can multiply all of these terms in any order. To simplify, we can multiply both exponents as they have the same base numbers.
(9 x 6) (10⁵ x 10⁻⁷)
(54)(10⁻²)
54 x 10⁻²
5.4 x 10⁻¹
When multiplying exponents with the same base, we can add the exponents, and then multiply the rest of the terms and this provides us with option 2 as the answer.
Answer:
At least 6 students must be enrolled in the class for the instructor to make a profit.
At least 20 students must be enrolled in the class for the instructor to make $1,000 (or more) profit per month.
Step-by-step explanation:
The function 
models the profit of the instructor of a guitar class per month.
1. If the instructor makes a profit, then
So, at least 6 students must be enrolled in the class for the instructor to make a profit.
2. If the instructor needs to make 1,000.00 profit per month, then
So, at least 20 students must be enrolled in the class for the instructor to make $1,000 (or more) profit per month.
