Answer:
x = 68
Explanation:
⇒ log₈(x - 4) = 2
<u>apply log rules</u>: logₐN = x then N = aˣ
⇒ (x - 4) = 8²
<u><em>simplify</em></u>
⇒ x - 4 = 64
<u><em>add 4 on both sides</em></u>
⇒ x = 64 + 4
<u><em>add the integers</em></u>
⇒ x = 68
Answer:
- a rotation, followed by a translation
- a translation, followed by two reflections
Step-by-step explanation:
The rigid motions are the transformations that produce congruent images.
There are three main kinds of rigid motions :
- Reflections : Flips a figure across a line of reflection.
- Rotations : Rotates a figure about some degrees around a center point.
- Translations : Moves figure on a plane about some distance in a certain direction.
But dilation is not a rigid transformation because it may change the size of the image. It is usually used to shrink or enlarge a shape.
So, the options having dilation and term "stretch" cannot produce congruent figures.
Hence, the correct options are :
- a rotation, followed by a translation
- a translation, followed by two reflections
Answer:
266 tickets
Step-by-step explanation:
Ratio of adult tickets to child tickets is 4 : 3
So, if we think of these as "parts", there are 4 parts adult tickets and 3 parts child tickets.
In total there is:
4 + 3 = 7 parts
Now, given 152 adult tickets. If there are 4 parts of adult tickets, how much is each part worth?
152/4 = 38
Total amount of tickets is 7 of these "parts", so total number of tickets is:
38 * 7 = 266 tickets
Answer:
97.5
Step-by-step explanation:
3.5cm cube surface area:
3.5*3.5*6 (the 6 faces of the cube) =
73.5
2cm cube surface area:
2*2*6 =
24
combined surface area:
73.5+24=
97.5
The answer is in the picture. Click on it.
