Answer:
A translation can map one angle unto another since dilations preserve angle measures of triangles
Step-by-step explanation:
The dilation of the figure by a scale factor of 4 gives an image that is 4 times the size of the original figure. However, the interior angles of the image and the original figure remain the same
A translation is a rigid transformation, such that the image and the preimage of a translation transformation have the same dimensions and angles
A translation of three consecutive non-linear points of the dilated image to the vertex and the two lines joining the corresponding point on the image, translates the angle at the given vertex
The above process can be repeated, to translate a second angle from the image to the preimage, from which it can be shown that the two figures are similar using Angle Angle, AA, similarity postulate
140/300=14/30
14/30=7/15
So 7/15 is _
46.6%
Answer:
27
Step-by-step explanation:
green is 30%
blue is 50%
red is 6 marbles which when calculated is equal to 20%
blue would then be 15 marbles as the whole 100% would equal to 30 marbles
if 40% is added which is also 12 marbles then 15+12 = 27
Answer:
Step-by-step explanation:
if the diagonal of a square is 11.3 what is the perimeter
from the diagonal we find the area, which can also be found by multiplying diagonal by diagonal divided by two, then we make the square root of the area and find the side, we multiply by four and we have the perimeter
(11.3 * 11.3) : 2 = 63.8 u² (Area)
√63.8 = 7.9 (side)
7.9 * 4 = 31.6u (perimeter)
Answer:
(x + 1)² + 4
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a (x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
to obtain this form use the method of completing the square
• add/subtract (half the coefficient of the x-term)² to x² + 2x
= x² + 2(1)x + 1 - 1 + 5
= (x + 1)² + 4 ← the second option
