The smaller number is twelve the larger number is 69
The answer is A. h + 3s = 35 and 2h + s = 20
Answer:
x=32 so one solution only
Step-by-step explanation:
6(x-8)+10=5x-6
6x-48+10=5x-6
6x-38=5x-6
x-38=-6
x=32
Therefore, the equation only has one solution which is x=32
Answer:
Equation: 
or 
Solution: 
Step-by-step explanation:
The formula that is used to calculate the perimeter of a square is:
Where "s" is the side lenght the square.
Knowing that Xin used 20 yards of fencing to build the walls of a square chicken coop (in which the lenght in yards of each wall is represented with "x"), you can identify that:
Then, you can susbtitute values into the formula :
Finally, you must solve for "x" in order to find its value.
This is:
X = 21, angle AGE = 98˚, and angle GHD = 98˚
Notice from the graph that angles AGE and BGH are supplementary. This means that their sum is 180˚. Therefore, to find the value of x, we must solve the equation (5x – 7) + (3x + 19) = 180
To do this, we must isolate the variable on one side by undoing the equation. We do this by first combining like terms. In this case, the variable values, and the non–variable values.
***Before doing this, make it all addition by converting – (+7) into + (–7)
So our equation is 5x + 3x + –7 + 19 = 180.
5x + 3x = 8x and –7 + 19 = 12 Now we have 8x + 12 = 180
This is a simple equation. We undo the addition by subtracting 12 from both sides: 8x + 12 – 12 = 180 – 12 8x = 168
Then, we undo the multiplication by dividing 8 by both sides: 8x ÷ 8 = 168 ÷ 8 x = 21 We can check to, as (5 • 21 – 7) + (3 • 21 + 19) = 180
Now, we can easily figure out the measurements of your angles: angle AGE = 5 • 21 – 7 = 98 So the measure of angle AGE = 98˚
Upon observing the diagram more closely, you can see that angle AGE and GHD are congruent, meaning they have the same measurements. This means that if angle AGE = 98˚, then so does angle GHD.
So, x = 21, angle AGE = 98˚, and angle GHD = 98˚
