Answer:
The smaller Number = 15
The larger number = 67
Step-by-step explanation:
Let
The smaller number = x
The larger number = 5x - 8
The sum = 82
(5x - 8) + x = 82
5x - 8 + x = 82
6x - 8 = 82
Add eight to both sides
6x - 8 + 8 = 82 + 8
6x = 90
Divide both sides by 6
x = 90/6
= 15
Therefore,
The smaller number = x = 15
The larger number = 5x - 8
= 5(15) - 8
= 75 - 8
= 67
Answer:

Step-by-step explanation:
The given expression is:

We expand the parenthesis using the distributive property to obtain;

Recall that;

We apply this property and multiply out the constant terms to obtain;

The term (2 + 8) is described as the total amount of pieces of fabric. It makes it easier to put this term this way so you wouldn't have to do (8 x 5) + (2 x 5) and do the distributive property.
The lowest possible denominator of 1/8 is 1/8.
1/8 can't be simplified anymore making this the smallest possible denominator.
Answer:
90°
Step-by-step explanation:
EG is a straight line
EG = EHD + DHG
DHG is a 90 degree angle
180 = EHD +90
Subtract 90 from each side
180-90= EHD +90-90
90 = EHD
The arc has the same measure as the angle since it is from the center
arc ED = 90