Answer:
angle P = 130 degrees
arc SF = 50 degrees
Step-by-step explanation:
angle P = 130 degrees because it is alternate adjacent to 130 degrees.
130 = 1/2(210+SF)
130 = 105+1/2SF
1/2SF = 25
arc SF = 50 degrees
This is a pre-algebra problem. I'll go through the steps with you. If you don't get it, don't be afraid to ask!
Step One - Cross Multiply
These are fractions, but that doesn't mean you have to add them. Fractions are just the numerator divided by the denominator. So to 'remove' the 9, multiply both sides by 9. To 'remove' the 6, multiply both sides by 6. (We multiply both sides of the equation by the same number because we need to make each side the same). Note that when you multiply both sides by 9 or 6, you have to multiply the <em>whole</em> part.
(2x+1)×6 = (1-1)×9
Distribute.
12x+6 = 9-9
Step Two - Solve the Equation
So we are left with this equation after cross multiplying:
12x+6 = 9-9
First, we can start by subtracting 9 from 9, because those are the same types of numbers.
12x+6 = 0
Now, we have to 'remove' the 6. We can do that by subtracting each side by 6.
(12x+6)-6 = 0-6
12x = -6
Now we are left this this.
We need to 'remove' the 12 now, so we can isolate the x. Since 12 is multiplied to x, we divide each side by 12.
(12x)÷12 = -6÷12
We get x = -1/2
x = -1/2 or -0.5
Hope this helped!
Answer:
<h2>
150 ft tall</h2>
Step-by-step explanation:
first, lets first convert 2ft 6in to ft:
since ft=12 in, 6=0.5 ft
thus, the height of the birdbath is 2+0.5 ft=2.5ft
now, lets convert 18 inch shadow to ft:
since ft=12 in, 18=1.5 ft
now, we can use the following proportions to solve this problem:
2.5/1.5=x/90
1.5x=90*2.5
1.5x=225
x=225/1.5
x=150
Thus, the oak tree in the garden is 150 ft tall
Answer:
x-intercept = .5 y-intercept = 1
Step-by-step explanation:
the x-axis is crossed at .5 and the y-axis is crossed at 1.
B = x^2−x / 3g
..?.?........?.............