Answer:
4 units wide
Step-by-step explanation:
Let the width of the table be 'w'
Given:
Perimeter of the table is, 
The perimeter of the rectangular table is given as the sum of all the sides of the rectangle. The sides include two lengths and two widths.
Length of the table is 8 times longer than its width. Therefore,

Now, perimeter is given as:

Now, plug in 72 for 'P' and solve for 'w'. This gives,

So, the table is 4 units wide.
I started by labeling the right angle (Angle C) 90º. Next, I wrote down everything in one equation.
2x + 90 + 3x - 20 = 180º (180 degrees in a triangle)
Next, I add 20 on both sides.
2x + 90 + 3x = 200º
I combine like terms (2x and 3x)
5x + 90 = 200º
I subtract 90 from both sides.
5x = 110º
Divide 110 by 5 to get x.
x = 22
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For problem two, I label all the angles I know.
49º + 80º + r = 180º
I add 80 and 49.
129º + r = 180º
I subtract 180 and 129 and get 51º, which is your angle for R.
For angle X, you know that angle R plus angle X equals half of a circle, which is 180º
We know from before that 129º is 180º without R, so X is 129º
I hope this helps! Let me know if I'm wrong!
Answer:
A = 40 square yards; P = 33 yards.
Step-by-step explanation:
Perimeter of the triangle
= ( 8 + 15 + 10)
= 36 yards.
Area of the right angled triangle
= 1 /2 * 10 * 8
= 40 square yards.
Hope it will help :)
The y-intercept is basically the value of the output of the function, g(x), when x=0.
Let's replace g(x) with the variable y to make this look a bit simpler.
2y + 3x = 6
Now, we enter the value of x=0 to get the y-intercept.
2y + 0 = 6
2y = 6
Divide both sides by 2
y = 3
The value of y is 3. Now enter the values of x=0 and y=3 into point-form (x,y) to get (0,3). You should know which answer choice to choose now.
Have an awesome day!