Answer:
The line of symmetry is x=8
Step-by-step explanation:
Answer:
a) x^3y2
b) 6x^2y^3
Step-by-step explanation:
The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.
1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).
Step-by-step explanation:
Find the diagram to the question attached.
From the diagram, we are given the following dimension for one of the beds;
Length = 16cm
Width = 8cm
If the scale from his drawing to the actual garden is 2 cm for every 1 ft, then on converting to feet;
2cm = 1ft
16cm = x fr
cross multiply
2x = 16
x = 8ft
Hence 16cm = 8ft (based on the scale)
Similarly:
2cm = 1ft
8cm = x fr
cross multiply
2x = 8
x = 4ft
Area of the garden bed (in feet) = Length * Width
Area of the garden bed = 8ft * 4ft
Area of the garden bed = 32ft²
Hence the actual area of one of the garden beds is 32ft². We need to find 2 things fir us to get the required answer. First is the length of the bed in feet and the second is the width of the bed in feet.
