ANSWER:
d. x = 15, y= 15√3
EXPLANATION:
This is a special triangle, more specifically a 30-60-90 degree triangle. For sake of not confusing x and y, we will use z to use as our reference for solving this triangle. The side lengths for each angle are as follows:
• 60 degrees = z√3
- this is the value for your y answer
• 30 degrees = z
- this is the value for your x answer
• Hypotenuse = 2z
- this is what we already have
We solve for what we already have which is the Hypotenuse = 30:
2x = 30
x = 15
We now have our x value which is 15.
Now we just plug in that x value for every expression for every angle.
x = 15
y = 15√3
Sorry if I explained it too thoroughly but I’ll be glad to answer any questions or clarifications
Answer:
m∠ABD = 20°
Step-by-step explanation:
The bisector makes angles ABD and BDC congruent, so ...
7x -1 = 4x +8
3x = 9 . . . . . . add 1-4x to both sides
x = 3
m∠ABD = (7x-1)° = (7·3 -1)°
m∠ABD = 20°
The equation y=1.5x+0.5
Another point is (0,0.5)
Answer:
3 dimes
Step-by-step explanation:
Part A: 0.10x + 0.25 = 0.80 (dimes are 10 cents or 0.10 dollars, quarters are 0.25 dollars)
Part B: Plug in what you DO know and solve the one you DON’T:
0.10x + 0.25(2) = 0.80
0.10x + 0.50 = 0.80. Subtract 0.50 from both sides:
0.10x = 0.30 (Divide both sides by 0.10)
x = 3
Answer:
The answer is f(x) = 0.8(2^x)
Step-by-step explanation:
∵ f(x) = 0.8(2^x)
∵ x = -2 ⇒ ∴ f(-2) = 0.8(2^(-2)) = 0.2
∵ x = -1 ⇒ ∴ f(-1) = 0.8(2^(-1)) = 0.4
∵ x = 0 ⇒ ∴ f(0) = 0.8(2^(0)) = 0.8
∵ x = 1 ⇒ ∴ f(1) = 0.8(2^(1)) = 1.6
∵ x = 2 ⇒ ∴ f(2) = 0.8(2^(2)) = 3.2
∴ The answer is f(x) = 0.8(2^x) ⇒ The fourth answer
