Answer:
Let the original number be x
Successor is defined as the number which comes immediately after a particular number.
also, the successor of a whole number is the number obtained by adding 1 to that number.
Then, the successor of a number x is, x+1
As per the given condition :
we have;

Using distributive property on LHS (i.e,
)
Then, we have
5x+5+x=83
Combine like terms;
6x+5=83
Subtract 5 from both the sides we get;
6x+5-5=83-5
Simplify:
6x=78
Divide both side by 6,

Simplify:
x =13
Therefore, the original number x is, 13
Answer:
- D. They are similar by the definition of similarity in terms of a dilation.
Step-by-step explanation:
<em>Refer to attached</em>
The points are plotted and connected to make triangles
As per the diagram, the triangles are similar, each side of ABC is reduced twice to make the corresponding sides of DEF, so the scale factor is 1/2.
<u>Correct choice is D</u>
- They are similar by the definition of similarity in terms of a dilation.
Y=-3x+10 follows the format of linear functions which is y=mx+b
Answer: D. History
Step-by-step explanation:
To answer this question, we need to use the z-score formula written below:

Now we'll just plug in the numbers and solve.
History:

Biology:

As we can see, history wields a higher z-score than biology, thus leaving us with option D. History