Angle BAC = (180 - 114) degrees = 66 degrees [angle on a straight line]
Angle OCA = Angle OBA = 90 degrees [angle at the point where the tangent and the radius meet]
Thus, the measure of arc BC = (360 - 66 - 90 - 90) degrees = 114 degrees [sum of interior angles of a quadrilateral]
Angle CDE = (180 - 124) degrees = 56 degrees [angle on a straight line]
Angle OCD = Angle OED = 90 degrees [angle at the point where the tangent and the radius meet]
Thus, the measure of arc CE = (360 - 56 - 90 - 90) degrees = 124 degrees [sum of interior angles of a quadrilateral]
Given that the measure of arc BC is 114 degrees and the measure of arc CE is 124 degrees, thus the measure of arc BE = (360 - 114 - 124) degrees = 122 degrees [angle at a point]
Angle OBF = Angle OEF = 90 degrees [angle at the point where the tangent and the radius meet]
Thus, angle BFE = (360 - 122 - 90 - 90) degrees = 58 degrees.
To determine the number of modules that is in each story, we simply divide the number of modules by the number of stories.
= 140 / 14
Simplifying,
= 10 modules / story
Therefore, by even distribution we note that there are 10 modules per story.
Step-by-step explanation:
The equation that Kaitlyn solved is as follows :
-5.4+x=12.2
The steps to solve it as follows :
Step 1. Add 5.4 to both sides,
-5.4+x+5.4=12.2+5.4
Step 2. 5.4 will cancel out as both have opposite signs
x=17.6
But Kaitlyn solved it as :
5.4.x=6.8
She has multiplied -5.4 and x which is wrong. The correct answer is 17.6.
X - the number of sandwiches ordered
y - the number of soups ordered
There were 18 people, and each person ordered either one soup or one sandwich.
The sandwiches cost $7.75 each, the soups cost $4.50 each. The total cost was $113.50.
Set up a system of equations:
10 sandwiches were ordered.
The answer is D.
Answer:
0.45 part of the banner is painted orange
Step-by-step explanation:
portion of rectangular banner painted green = 0.75
Portion of green painted part which is now painted orange = 0.60
Hence we can say that
0.6 part out of 0.75 part of total banner is painted orange
mathematically it is
0.6 * 0.75 = 0.45
Thus 0.45 part of banner is painted orange .
