Answer:
Step-by-step explanation: You too
In trigonometry, the right triangle is considered a special triangle because there are derived equations solely for this type. It is really convenient when dealing right triangle problems because it is more simplified courtesy of the Pythagorean theorems. It is derived that the square of the hypotenuse (longest side of the triangle) is equal to the sum of the squares of the other two legs. In equation, that would be c² = a² + b². For this activity, all you have to do is find the sum of the squares in columns a and b. Then, see if this is equal to the square of the values in column c. Let's calculate each row:
Row 1:
3² + 4² ? 5²
25 ? 25
25 = 25
Row 2:
5² + 12² ? 13²
169 ? 169
169 = 169
Row 3:
9² + 12² ? 15²
225 ? 225
225 = 225
Therefore, all of the given values conform to a² + b² = c².
Answer:
The perimeter of △HFM is 50.75 units
Step-by-step explanation:
The picture of the question in the attached figure
In this problem
Triangles HFM and PST are similar
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor
step 1
Find the scale factor
Let
z ----> the scale factor
substitute the given values
step 2
Find the perimeter of triangle PST
step 3
Find the perimeter of triangle HFM
we know that
If two figures are similar, then the ratio of its perimeters is equal to the scale factor
so
The perimeter of triangle HFM is equal to the perimeter of triangle PST multiplied by the scale factor
so
7.1% subtract the final price by the original price to find the increase and then divide the increase by the original price.
Explanation:
Find the increase
3.75−3.50=.25
Then divide the increase by the original amount
.253.50=.0714285
To change to a percent multiply by 100 and round off to significant numbers
# .0714285 = 7. 14285% or 7.1% or just 7%
