Answer:
100 girls
Step-by-step explanation:
The ratio of boys : girls is 2 : 5.
In other words, boys are 2 parts of the school while girls are 5 parts of the school.
Since there are 40 boys, 2 parts of the school is 40. Thus:
1 part is 20.
Since there are 5 parts girls, there are
100 girls.
Answer: 100 girls
53 = -19z + 5 + 7z
53 = -12z + 5
12z = 5 - 53 = -48
z = -48/12 = -4
z = -4
Answer: C D E
Step-by-step explanation:
The scale factor of the given dilation transformation is calculated as; 1/2
<h3>How to use the scale of dilation?</h3>
We know that from transformation that a dilation is a non - rigid transformation that produces similar figures.
If two lines are similar, then the lines are parallel and parallel lines always have the same slope.
Thus;
Line A has the formula; 2y = x + 8
Writing it in slope intercept form gives us;
y = 0.5x + 4 ------(1)
Thus;
slope of the line A is m = 0.5
y-intercept of the line A is b = 4
Line B has the equation;
y - ¹/₂x = 2
Rearranging in Slope Intercept form gives us;
y = ¹/₂x + 2
Thus;
slope of the line B is m = 0.5
y-intercept of the line B is b = 2
Now, it should be noted that the y-intercept of line A multiplied by the scale factor k must be equal to the y-intercept of line B. Thus;
4k = 2
k = 2/4
k = ¹/₂
Read more about Scale of Dilation at; brainly.com/question/10253650
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Answer:
6x+12+3x-3=180(supplementary angle)
9x+9=180
9(X+1)=180
X+1=20
X=19
