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
We are given :
The ratio of orange juice to pineapple juice in tropical treat punch = 4:3 or 4/3.
Number of oz of orange juice = 64 oz.
Let us assume number of oz pineapple juice does he need = p.
We can setup an proportion:
64 : p = 4 : 3
On cross multiplication we get
64 × 3 = 4 × p
192 = 4p
Dividing both sides by 4, we get
p = 48.
<h3>Therefore, he needs 48 oz of pineapple juice.</h3>
Answer:
18.2 cubic meters.
Step-by-step explanation:
From the measurements they give us, we assume that the shed has the shape of a rectangular prism, however, to calculate the amount of storage, we must calculate the volume.
The volume would be:
V = height * width * length
According to the statement height = 2, width = 2 and length = 3.25
V = 2 * 2 * 3.25
V = 13
That is, the volume of the shed is 13 cubic meters, but then they mention that the roof line to the peak is 0.8 meters high, which means that the volume can increase, the new volume would be changing the height = 2 + 0.8 = 2.8, the other values remain the same:
V = 2.8 * 2 * 3.25
V = 18.2
That is to say that when adding that part, the volume that is to say total amount of storage is 18.2 cubic meters.
Answer: 420
387420489
Step-by-step explanation:
9^7: 4782969
9^2: 81
81 x 47 = 387420489
Angle B= 45 degrees
Angle A = 45 degrees
A and B are congruent since they are alternate exterior angles
5x-15 = 2x +21
5x = 2x +36
3x=36
X=12
B)
2x12+21 = 45
A)
5x12-15 =45
