Answer: the distance from one corner of the field to the other corner is 136 m
Step-by-step explanation:
The distance from one corner to the other corner is the diagonal and it
divides the field into two equal right angle triangles. The diagonal represents the hypotenuse of each right angle triangle. The length and width of the rectangle represents the adjacent and opposite sides of the right angle triangle. To determine the length of the diagonal, d, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
d² = 110² + 80²
d² = 12100 + 6400 = 18500
d = √18500
d = 136 meters
Answer:
I believe the answer is the system has one solution. Both lines have the same y-intercept. And the solution is the intersection of the 2 lines.
You can set up a systems of equations to solve this problem.
The equation y = 2x-3 represents the father's age where y = The father's age and x = The son's age.
The equation 30=y-x represents the difference between the two ages.
In order to be able to solve a system, the two equations can be in the same form. (They don't need to be it's just easier for me to have them in the same form) One is in standard form (ax+by= c) and the other one is in slope intercept form (y=mx+b where m is the slope and b is the y- intercept).
Lets put the equation y=2x-3 into standard form.
y=2x-3
+3 +3
y+3=2x
-y -y
3=2x-y
We have the two equations 30=y-x and 3=2x-y
Now to solve the system.
30=y-x
3=2x-y or 3=-y+2x
30=y-x
3=-y+2x The -y and y cancel each other out since they are the same term but are the inverse of each other one is neg one is pos.
Your left with
30=-x Now you just combine the two equations. 30+3 and 2x-x
3=2x
33=x The son's age is 33. To Find the Fathers age we would just plug 33 for x into one of the equations to find the Fathers age.
SON'S AGE IS 33
Answer:
x=30° y=4
Step-by-step explanation:
cross multiple
5y=8(2.5)
5y=20
divide 5 by 20
and you should y=4
since the polygons are similar x should have the same degrees as the bigger polygon
