Answer:
This is proved with the help of slope.
Step-by-step explanation:
Given Mr. Johnson is working on constructing a square table for his classroom. He positioned his design on a coordinate grid, as shown. Mr. Johnson will need to put a brace through each diagonal of the table in order to secure the table's stability.
Now, if Johnson use more than one brace then we have to prove that the braces will intersect at a right angle.
From the figure we have to prove the diagonals AC and BD are at right angle. To prove above we have to find the slopes of both diagonals.
As we know, In a coordinate plane, the slopes of perpendicular lines are opposite reciprocals of each other i.e their product is equals to -1.
⇒ AC and BD are perpendicular
⇒ Braces which put through each diagonal intersect at right angle and the table will stable.
Answer:
The two equations that can be used to find each of their ages are 
and 
.
Step-by-step explanation:
We are given that Mrs. Lang is 4 times as old as her daughter Jill. The sum of their ages is 60 years.
Let the age of Mrs. Lang be 'x years' and the age of her daughter Jill be 'y years'.
Now, according to the question;
- The <u>first condition</u> states that Mrs. Lang is 4 times as old as her daughter Jill, that means;
----------------- [equation 1]
- The <u>second condition</u> states that the sum of their ages is 60 years, that means;
{using equation 1}
y = 12 years
Now, putting the value of y in equation 1 we get;
= 48 years
Hence, the age of Mrs. Lang is 48 years and her daughter Jill is 12 years old.
Answer:
Step-by-step explanation:
Answer:
90 eggs
Step-by-step explanation:
9/3=x/30
3x=270
×90
Answer:
I'm not 100% but I think it could be x4 and then +5?
Step-by-step explanation:
