Answers:
x = 13
Question mark angle is 64 degrees
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Explanation:
Let y be the angle labeled as a question mark.
This angle y is adjacent to the exterior angle of measure 116 degrees
This means y and 116 must add to 180 to form a straight angle
y+116 = 180
y = 180-116
y = 64
So 64 degrees will replace the question mark.
Then we can find the angle x. Recall that all angles of a triangle add to 180
90+2x+y = 180
90+2x+64 = 180
2x+154 = 180
2x = 180-154
2x = 26
x = 26/2
x = 13
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Alternatively, you can find x through the remote interior angle theorem
The interior angles 90 and 2x add to the exterior angle 116
90+2x = 116
2x = 116-90
2x = 26
x = 26/2
x = 13
This method doesn't involve angle y.
6 + 4 + 4 = 14 cm
2 * pi * r =
2 * 3.14 * 3 = 18.84 / 2 = 9.42
14 + 9.42 = 23.42
Answer:
Option A , C ,D
Step-by-step explanation:
A nonrefundable deposit required for the day-long program = $50
Charge per person = $4.50
Let us suppose the number of students is s
So, Charge for s students = $4.50s
Let c denotes the total cost
So, total cost : 
So, Option A is correct : The linear model is f(s) = 4.5s + 50.
Total cost :
We are given that total students are 24
Substitute s = 0
So, 
Substitute s = 24
So, Option C and D is also correct.
C. The domain is {x| 0 ≤ x ≤ 24}
D .The range is {y| 50 ≤ y ≤ 158}
Refer the attached figure
The graph is discrete .
So, Option E is incorrect.
8 is the answer, because 4 x 8 = 32
Answer:
A sphere
Step-by-step explanation:
A cross section of a three dimensional figure is the surface or intersection of the three dimensional figure and a plane, it is the shape obtained by cutting straight through the three dimensional figure
The shape of an inclined cross section of a cube can be a triangle however, he shape of a horizontal and inclined cross section of a sphere is a circle.
