Answer: 16
Step-by-step explanation:
For a perfect square each factor is identical.
Now, we have to find a number that adds to get 8.
The only option is (x+4)(x+4). When you distribute, you get x²+8x+16.
Now, we know that the missing number is 16.
Answer:
36 cubic centimeters
Step-by-step explanation:
In this question, we are tasked with calculating the volume of the rectangular prism.
mathematically, that can be obtained by using the formula for the volume of the rectangular prism.
V = Base area * height
from the question, we have the base area as 12 square centimeters and the height as 3 centimeters.
Plugging these values into the equation, the value of the volume is thus 12 * 3 = 36 cubic centimeters
Answer:
The answer is R
Explanation:
Since there are 4 sides, we divide 360 by 4 to find the amount needed to turn to move from one side to another. So we move P one side, landing on Q, then we move it 3 sides counter-clockwise (270/90=3 sides), landing on R
Hope it helps!
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
