Answer:
x = 8
Step-by-step explanation:
Each side of the triangle on the left is divided by 3 to get the side of the triangle on the right.
We can find this by doing 18 ÷ 6 = 3
Then, knowing this, we do 24 ÷ 3 to get 8
I hope that helps!! :)
Answer:
h = 12x^5y^3
Step-by-step explanation:
The area of a parallelogram is found using A = b*h. Substitute the values given and solve for h.
A = b*h
36x^6 y^5 = 3xy^2 * h
36x^6 y^5 ÷ 3xy^2 = h
12x^5y^3 = h
We are tasked to determine the natural logarithm when x = 0.6.
x = 0.6, applying natural logarithm on both sides, we have it:
ln x = ln 0.6 using a scientific calculator, enter ln 0.6 and then this would give an answer of -0.5108256238
As per instruction, we are required to round the answer to the nearest hundredth such as the final answer is -0.51.
The answer is the letter "B".
⓵
-4ỿ = 8
Simplify the left side in order to isolate the ỿ!
-4ỿ = 8
+4 +4
Ỿ = 12
⓶
× + 3y - 3z = -26
Simplify the left side in order to isolate the ×, ỿ and z!
× + 3y - 3z = -26
÷3 ÷3
× + ỿ - 3z = -8,66 periodic
÷-3 ÷-3
× + ỿ + z = 2,88 periodic
⓷
2× - 5ỿ + z = 19
Simplify the left side in order to isolate the ×, ỿ and z!
2× - 5ỿ + z = 19
÷2 ÷2
× - 5ỿ + z = 9,5
÷-5 ÷-5
× + ỿ + z = -1,9
The line GH bisects The triangle FGI meaning it divides it into two equal parts <em>(that is the definition if bisection); </em>therefore, the angles FGH and HGI are equal:

Now let us add 2 to both sides gives

subtracting 4x from both sides gives


Hence, x = 11.
The measure of FGH is

(B)
The measure of HGI is

(C)
The measure of FGI is the sum of HGI and FGH:

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