Answer:
z = 61
Step-by-step explanation:
The exterior angle is congruent (equal to) the sum of the 2 farthest angles from it, so you can set the equation like this:
z + z - 11 = z + 50
Add like terms, which would be the 2 "z's" on the left side:
2z - 11 = z + 50
Then subtract the z on the right side from both sides:
2z - 11 = z + 50
-z -z
___________
z - 11 = 50
Add 11 to both sides:
z - 11 = 50
+ 11 +11
________
z = 61
Simplify 1/3(6x - 15) to 6x - 15/3
6x - 15/3 = 1/2(10x - 4)
Factor out the common term; 3
3(2x - 5)/3 = 1/2(10x - 4)
Cancel out 3
2x - 5 = 1/2(10x - 4)
Simplify 1/2(10x - 4) to 10x - 4/2
2x - 5 = 10x - 4/2
Factor out the common term; 2
2x - 5 = 2(5x - 2)/2
Cancel out 2
2x - 5 = 5x - 2
Subtract 2x from both sides
-5 = 5x - 2 - 2x
Simplify 5x - 2 - 2x to 3x - 2
-5 = 3x - 2
Add 2 to both sides
-5 + 2 = 3x
Simplify -5 + 2 to -3
-3 = 3x
Divide both sides by 3
- 1 = x
Switch sides
<u>x = -1</u>
Answer:
Subtract 8.5
Step-by-step explanation:
To solve the equation, y has to be isolated (only y will be on one side of the equation)
To do this, we have to get rid of the 8.5, so it has to be subtracted from both sides.
So, the correct answer is subtract 8.5
Which of the following statements correctly describes the expression below based on its degree and number of terms? 3x^4 - 7x^2 + 11. The expression has four terms and a degree of 6. The expression is a trinomial with a degree of 6. The expression is a trinomial with a degree of 4. The expression has four terms and a degree of 4.
hope this helps!
9514 1404 393
Answer:
100.27 ft^2
Step-by-step explanation:
The area of each square is ...
A = s^2 = (6 ft)^2 = 36 ft^2
The area of the 1/4 circle is ...
A = 1/4πr^2 = 1/4π(6 ft)^2 = 9π ft^2 ≈ 28.27 ft^2
__
The area of the garden is the sum of the areas of the quarter circle and the two squares:
A = 28.27 ft^2 + 2×36 ft^2 = 100.27 ft^2
The area of the garden is about 100.27 square feet.
