Answer with Step-by-step explanation:
Since we have given that
a + b = c
and a|c
i.e. a divides c.
We need to prove that a|b.
⇒ a = mb for some integer m
Since a|c,
So, mathematically, it is expressed as
c= ka
Now, we put the above value in a + b = c.
So, it becomes,

a=mb, here, m = k-1
Hence, proved.
Answer:13y(x-4)
Step-by-step explanation:
13xy-52y =13y(x-4)
Your answer would be B
When you have two angles, and want to know which lines must be congruent, you have to look at the transversal first. The two angles will share a side which is the transversal, and then their other side is one of the parallel lines.
The converse of the corresponding angles theorem states that If corresponding angles are congruent, then the lines are parallel.
Answer:
The claim that the scores of UT students are less than the US average is wrong
Step-by-step explanation:
Given : Sample size = 64
Standard deviation = 112
Mean = 505
Average score = 477
To Find : Test the claim that the scores of UT students are less than the US average at the 0.05 level of significance.
Solution:
Sample size = 64
n > 30
So we will use z test

Formula : 


Refer the z table for p value
p value = 0.9772
α=0.05
p value > α
So, we accept the null hypothesis
Hence The claim that the scores of UT students are less than the US average is wrong
Using scientific notation, the correct statement is given by:
C. Corporation C owns the most land. Corporation A owns 8 times more land than corporation B.
<h3>What is scientific notation?</h3>
A number in scientific notation is given by:

With the base being
.
Considering the amounts in scientific notation, the standard amounts in acres of each corporation are given as follows:
- Corporation A:
.
- Corporation B:
.
- Corporation C:
.
Hence corporation C owns the most land. 320,000/40,000 = 8, hence Corporation A owns 8 times more land than corporation B, and statement C is correct.
More can be learned about scientific notation at brainly.com/question/16394306
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