Answer:
9:19
Step-by-step explanation:
Total number of students = 28
Number of boys = 19
Number of girls = Total number of students - Number of boys = 28-19 = 9
Therefore, ratio of girls to boys = Number of girls/Number of boys = 9/19 = 9:19
Answer:
S(-2, -3)
Step-by-step explanation:
Find the diagram attached below,=. Frim the diagram, the coordinate of R and T are (-5, 3) and (-1, -5) respectively. If the ratio of RS to ST is 3:1, the coordinate of S can be gotten using the midpoint segment formula as shown;
S(X, Y) = {(ax1+bx2/a+b), (ay1+by1/a+b)} where;
x1 = -5, y1 = 3, x2 = -1, y2 = -5, a = 3 and b =1
Substitute the values into the formula;
X = ax2+bx1/a+b
X = 3(-1)+1(-5)/3+1
X = -3-5/4
X = -8/4
X = -2
Similarly;
Y = ay2+by1/a+b
Y = 3(-5)+1(3)/3+1
Y = -15+3/4
Y = -12/4
Y = -3
Hence the coordinate of the point (X, Y) is (-2, -3)
The slope is 0 because there is no slope it is not pointing up nor is it down. It is just a straight line. I hope this helps!! Have a nice day!!
Answer:
Options (C) and (E).
Step-by-step explanation:
Rotation is a rigid transformation in which size and shape of the figure and image remains the same.
That means angles and sides of the triangles given in the figure will remain same after the transformations given.
Since, the given triangle has been rotated about a point Z, each rotation will share the vertex Z.
And every figure is the transformed form of the given triangle, all four triangles will be congruent.
Options (C) and (E) are the correct options.
Answer:
1 : 4 , 1 : 4
Step-by-step explanation:
= 3 : 12 , 48 : 192
= 3/12 , 48/192
= 1/4 , 1/4
= 1 : 4 , 1 : 4
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