Answer:
x=20 degrees
Step-by-step explanation:
complementary means the angles equal 90 degrees
so ∠A+∠B=90 degrees
∠A=3x-2 and ∠B=x+12
so subsitute
(3x-2)+(x+12)=90
then solve for x
4x+10=90
4x=80
x=20 degrees is your answer
The two given angles are vertical angles which mean they are the same:
9x + 72 = 4x + 112
Subtract 72 from bot sides:
9x = 4x + 40
Subtract 4x from both sides:
5x = 40
Divide both sides by 5:
X = 8
In this question, you are given the width( 20 miles), the length(28 miles) and the height( 1 inch). You are asked to count the rain water volume which was going with formula length x width x height. But the unit asked is ft, so you need to convert them all. The calculation would be:
Water volume= length x width x height
Water volume= 20 miles x 5280ft/miles x 28 miles x 5280ft/miles x 1inch x 1ft/12inch
Water volume = 1300992000 cubic ft.
Answer:
2y - 3x = -15
Step-by-step explanation:
Slope of the line 4x + 6y = 1 is as shown below;
Rewrite in slope intercept form;
6y = -4x+1
y = -4x/6 + 1/6
y = -2x/3 + 1/6
mx = -2/3x
m = -2/3
The slope of the line perpendicular M = -1/(-2/3)
M = 3/2
Get the x and y intercept of 2x+3y = 18
x intercept occurs when y = 0
2x + 0 = 18
x= 18/2
x = 9
y intercept occurs when x = 0
0 + 3y = 18
3y= 18
y = 18/3
y = 6
The line passes through the point (9,6)
Write the equation in point slope form
y - y0 = m(x-x0)
y - 6 = 3/2(x-9)
2(y-6) = 3(x-9)
2y - 12 = 3x - 27
2y - 3x = -27 + 12
2y - 3x = -15
This gives the required equation
