∠ ABD = 5(2X+1)
∠ DBC = 3X+6
∠ EBC = Y +135/2
∠ ABD and ∠ DBC are linear pairs
∴ ∠ ABD +∠ DBC = 180
∴ 5(2X+1) + 3X+6 =180
solve for x
∴ x = 13
∴∠ ABD = 5(2X+1) = 5(2*13+1) = 135
∠ DBC = 3x+6 = 3*13+6 = 45
∠ ABD and ∠ EBC are vertical angles
∴ ∠ ABD = ∠ EBC = 135
∴ y +135/2 = 135
∴ y = 135/2
The <span>statements that are true:
--------------------------------------</span><span>
C.) x=13
E.)measure of angle EBC =135
F.) angle DBC and angle EBC are linear pairs
</span>
Answer:
Step-by-step explanation
let's use g for golf and b for batting cages
So let's start with Sylvester
he plays 5 rounds of mini golf so 5g
and he takes 4 turns in the batting cages so 4b
and he pays 60 dollars for this
SO his equation is 5g+4b=60
Now onto Lin
3g for 3 rounds of golf
6b for 6 turns in the batting cages
He pays 45 dollars
SO his equation is 3g+6b=45
Both equations:
5g+4b=60
3g+6b=45
Now you need to cancel out one variable so you can multiply the first equation by 3 and the second one by -5
15g+12b=120
-15g-30b=-225
Now the g will cancel out when you add both equations
-18b=-105
b=105/18 which is about 5.83 dollars
Now plug in 105/18 into any of the original equations and solve for g
This uses the concept of proportions.
.002 converted to a fraction is 2/1000, or 1/500.
We set up the proportion like so:
10/100 = .002/x
Solve for x.
Cross-multiply.
10 * x = .002 * 100
10 * x = .2
x = .2 / 10
x = .02
The answer is .02
9x - 2y = 11 ... (i)
5x - 2y = 15 ... (ii)
Subtracting equation (ii) from (i) we get;
4x + 0 = -4
4x=-4 , x = -1
Replacing x = -1 in equation (i) we get;
9(-1) - 2y = 11
-9 - 2y = 11
-2y = 20
y = 20 ÷ -2 = -10
The solution to the system of equations is (-1,-10).
We are asked to solve for the lateral surface area of the cylinder such that the formula that we can used is Lateral Surface Area = 2pi*r*h where "r" represents the radius of the cylinder and "h" represents the height of the cylinder. In this problem, we are given with the following values:
r = 4 inches
h = inches
Solving for the lateral surface area, we have it:
L.S.A = 2 *pi * r* h
L.S.A = 2*pi*4*6
L.S.A = 48pi units squared
The answer is 48pi unit2.
