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:
A Hercules Beetle is 6.97 inches larger than A ladybug
Step-by-step explanation:
A hercules beetle is 7 inches long while a ladybug is about 0.03 cm long when subtracting these two you will get a grand total of 6.97.
The percentage of people who preferred cheesecake if 50% prefferd fruit cake 1/5 preferred sponge is 40%.
<h3>Percentage</h3>
- Total percentage = 100%
- Fruit cake = 50%
Percentage remaining = 100% - 50%
= 50%
Sponge cake = 1/5
Percentage of sponge cake = 1/5 × 50%
= 1/5 × 0.5
= 10%
Percent that likes cheesecake = Total - (fruits cake + sponge cake)
= 100% - (50% + 10%)
= 100% - (60%)
= 40%
Therefore, the percentage of people who preferred cheesecake if 50% prefferd fruit cake 1/5 preferred sponge is 40%.
Learn more about percentage:
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The answer is B (70 and 20 degrees)
Answer:
y=-2/9 x – 9
Step-by-step explanation:
It really is simple translation because this is written in y=mx+b, where b is the given y-intercept. From there, just subtract what is needed to go down or add what is need to go up.
y=-2/9 x – 7 – 2
.:y=-2/9 x – 9
