Answer:
7 inches
Step-by-step explanation:
The ratio of width to length of the known rectangle is 4 : 14 and this simplifies to 2 : 7.
The smaller similar rectangle will have the same ratio of 2 :7.
This can also be looked at another way. The second value in the ratio is 7/2 of the first value in the ratio and the first value is 2/7 of the second value.
Example:
7/2 * 2 = 7
Example:
2/7 * 7 = 2
So first you make two isosceles triangles, one is URS and the other is UST. First find the degrees of angle RSU which is (180-120)/2=30. Then you know that TSU is 70 and then you can find angle T is 180-70*2 which is 40.
Another method, which is faster is that in a quadrilateral, all angles make 180 degrees. 120+100+100 is 320 and 360-320 is 40.
Answer:
The correct answer by solving with the System of Inequalities is
Step-by-step explanation:
equation of circle is given as
where (h,k) is center of cirlce and r is radius.
so lets figure out it from graph.
as we can see in graph center is at ( -1, 1)
radius is 4 units as shown in graph but we can calculate it. take any point on circle and calculate its distance from center. lets take point (3, 1)
now distance = √((3+1)^2+(1-1)^2)
= √16 = 4
lets put it in equation
(x +1)^2 + (y-1)^2 = 4^2