Answer:

Step-by-step explanation:
Since the rectangles are similar, that means that corresponding sides are proportional. Therefore, the ratio of similitude is 5/3 (GH and CD are corresponding sides and the ratio between their lengths is 5/3). If the ratio of similitude is 5/3 and two corresponding sides are m and 10, then we can make an equation:

Cross-multiply to get:

Thus, m =
which is
.
Hope this helps :)
Answer:
The answers are:
m = 9 and n = 15
Step-by-step explanation:
m/15 = n/25 = 12/20
m/15 = 12/20
m/15 = 3/5
5m = 45
m = 9
n/25 = 12/20
n/25 = 3/5
5n = 75
n = 15
50 because if she has 3 suit cases that 'could' weigh 50 pounds, then the average of those is also 50.
<h3>
Answer: 110 degrees</h3>
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Work Shown:
x = measure of minor arc CL
angle J = ( (far arc) - (near arc) )/2
angle J = ((red arc) - (yellow arc))/2
angle J = ( (minor arc CL) - (minor arc CK) )/2
35 = ( x - 40 )/2
35*2 = x-40
70 = x-40
x-40 = 70
x = 70+40
x = 110
Minor arc CL = 110 degrees
Answer:
x = 36; 2x = 72; 3x = 108; 4x = 144.
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360°, so you have ...
... x° + 2x° + 3x° + 4x° = 360° = 10x°
... x = 360°/10° = 36
The other angles are figured by multiplying by 2, or 3, or 4.