Answer:
The coordinates of D is (-4,-9)
Step-by-step explanation:
Given
C = (2,7)
<em>M=(-1,-1) ----- Missing part of question</em>
Required
Determine the coordinates of D
<em>Let the coordinates of D be (x₂,y₂)</em>
<em>We'll solve this question using mid point formula;</em>
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<em>Where</em>
and 
Put these values in the formula
By comparison;
and 
Multiply both sides by 2
Subtract 2 from both sides
Multiply both sides by 2
Subtract 7 from both sides
<em>Hence, the coordinates of D is (-4,-9)</em>
Answer:
-2/3
Step-by-step explanation:
The slope of a line is found by
m= (y2-y1)/(x2-x1)
= (12-2)/(-10 -5)
= 10/-15
= -2/3
40,000 is 10 times as much as 4,000
Answer:
<em>173 children tickets were sold and 201 adult tickets were sold</em>
Step-by-step explanation:
Let the number of child ticket sold be x
Let the number of adult ticket sold be y
If the total number of ticket sold is 374, hence;
x +y = 374 .... 1
Also if the ticket cost 3$ per child and 5$ per adult with total cost of $1524, this can be expressed as;
3x + 5y = 1524..... 2
Solve both equations simultaneously
From 1; x = 374 - y ...3
Substitute equation 3 into 2
3(374-y)+5y = 1524
1122-3y+5y = 1524
1122+2y = 1524
2y = 1524 - 1122
2y = 402
y = 402/2
y = 201
Since x = 374-7
x = 374 - 201
x = 173
<em>Hence 173 children tickets were sold and 201 adult tickets were sold</em>
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If a polygon is convex, then the sum of the measures of the exterior angles, one at each vertex, is 360°
