So what we can assume from the things given,
m∠A = x
<span>
</span>m∠B = 2x
m∠C = 3x
m∠C + m∠B + <span>m∠A = 180º
x = 30º
Because 30º + 60º + 90º = 180º
</span>
Darnell is building a triangular community garden plot.
Which set of lengths can be used to create the plot perimeter?
Recall the triangle inequality theorem which states that the sum of any two sides must be greater than the third side.
Let us analyze each of the given options.
Option A:
a = 20 feet
b = 12 feet
c = 34 feet
Option B:
a = 8 feet
b = 10 feet
c = 19 feet
Option C:
a = 5 feet
b = 8 feet
c = 14 feet
Option D:
a = 12, feet
b = 14 feet
c = 20 feet
As you can see, only option D satisfies the triangle inequality theorem
Therefore, option D is the correct answer.
So you have 525600 mins and there are 60 minutes in an hour so you have 525600/60 = 8760 hours and you have 24 hours in a day so then you do 8760/24 to get 365 days or a year.
Hope this helps :)
Answer:
d) 18
Step-by-step explanation:
The question is on graphing linear functions
Given the table of values of x and y, plot the graph and observe the gradient of -2 and the y-intercept at (0,-5) as shown on the attached graph with blue color.
Use the given function y=7x+13 to formulate a table of values of x with corresponding values of y
x y
-3 -8
0 13
1 20
With the above values, plot the graph of y=7x+13 and obtain the y-intercept at (0,13) as shown in the red line graph attached.
To find the distance between the y-intercepts of the two graphs we apply the expression for distance between two points;
[/tex]
points are (0,-5) and (0,13)
D=√ (0-0)² + (13--5)²
D=√(18)²
D=18 units
Answer:
x = 3 and y = 2
or
(3,2)
Step-by-step explanation:
first equation (LCM = 3 x 4 x 5 = 60)
(x+2)/5 - (9-x)/3 = (y - 6)/4
12(x+2) - 20(9-x) = 15(y - 6)
12x + 24 - 180 + 20x = 15y - 90
32x - 15y = -90 - 24 + 180
32x - 15y = 66
second equation:
8(x + 2) - (2x + y) = 2(x + 13)
8x + 16 - 2x - y = 2x + 26
6x - y + 16 = 2x + 26
4x - y = 10
Now you have 2 equations:
4x - y = 10 ---> y = 4x - 10
32x - 15y = 66
Substitute y = 4x - 10 into 32x - 15y = 66
32x - 15(4x - 10) = 66
32x - 60x + 150 = 66
-28x = -84
x = 3
y = 4(3) - 10
y = 12 - 10
y = 2
Solutions: x = 3 and y = 2