Answer:
54
Step-by-step explanation:
6x9=54
Answer:
A is correct < C and < C" are congruent after both the translation and the dilation.
Step-by-step explanation:
The shape of the triangle remains the same after the translation and the dilation. After the dilation the new triangle is bigger by a factor 2 but the shape ( and therefore the angles are equal. The 2 triangles are similar,
If 105 customers were the total, and 35% prefers cake, we must calculate 35% of 105, then we must do 105 multiplied by 35%, we can doit transforming the 35% in the fraction notation:

And the multiplication

Therefore, if we round it to the nearest whole number, the number of customers that prefer cake is 37.
37 customers prefer cake.
Answer:
Step-by-step explanation:
According to the diagram ,
Hypotenuse = 10√3
Opposite = x
Adjacent = y
α = 60
Using SOHCAHTOA ,
Sin α = opp / hyp
Sin 60= x/10√3
√3/2= x/10√3
x = 15
Pythagoras theorem ;
Hypotenuse ^2 = Opposite ^2 +Adjacent ^2
10√3 ^2 = 15^2+ y^2
300 = 225 +y ^2
300 -225 = y^2
75 = y^2
y = √75y
y = 5√3