Answer:
z = 10
Step-by-step explanation:
Distribute 2 to the terms in the parentheses:
2(2z + 5) = 50
4z + 10 = 50
Subtract 10 from both sides
4z = 40
Divide each side by 4
z = 10
So, the answer is z = 10
Answer: The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.
Step-by-step explanation: Since a dilation is not performed, the shape and size stay the same no matter how it is moved throughout the coordinate plane.
Answer:
x = 8.39
y = 55.2
Step-by-step explanation:
9² + 1² - 2(9)(1)cos(50) = x²
x = 8.39
9/sin(y) = x/sin(50)
sin(y) = 0.8215200692
y = 55.23724927
Answer:
8/16 or 0.5
Step-by-step explanation: The chances of jeremiah choosing the yellow is half of the other percentage of the other colours
Equation is y = 1/5x - 2
Step-by-step explanation:
- Step 1: Given slope, m = 1/5 and y-intercept, b = -2. Write the equation in slope intercept form which is y = mx + b
⇒ y = 1/5x + (-2)
∴ y = 1/5x - 2
