If two similar triangles have side lengths 3cm and 7cm then we can determine that the scale factor for the lengths is: 7/3
Now, we have to work out the area scale factor !
This is simple, since area is given in cm² then all we have to do is square our original scale factor!
So,
7/3² = 49/9
So, we can say that the ratio of the area would be:
x : 49/9x
Hope this helps! <3
Answer:
The slopes are
Therefore, the equations are equations of <u> Perpendicular Lines .</u>
Step-by-step explanation:
Given:
......................Equation ( 1 )
..............Equation ( 2 )
To Find:
Slope of equation 1 = ?
Slope of equation 2 = ?
Solution:
On comparing with slope point form
Where,
m = Slope
c = y-intercept
We get
Step 1.
Slope of equation 1 = m1 = 
Step 2.
Slope of equation 1 = m2 = 
Step 3.
Product of Slopes = m1 × m2 = 
Product of Slopes = m1 × m2 = -1
Which is the condition for Perpendicular Lines
The slopes are
Therefore, the equations are equations of <u> Perpendicular Lines . </u>
Answer:
Option D - x = 3 3/5
Step-by-step explanation:
Lets make the left side into an improper fraction :
2 2/5 = 12/5
Now let's make both fraction into equivalent ones but with the same denominator :
2/3 = 10/15
12/5 = 36/15
Now we substitute the equivalent values back into the equation :
10/15 × x = 36/15
Now we multiply both sides by 15 to remove the denominators:
10 × x = 36
Now we divide both sides by 10 and simplify :
x = 36/10
x = 18/5
x = 3 3/5
So our answer will be Option D
Hope this helped and brainliest please
Step 1. Convert 3 1/4 to an improper fraction.
3 * 4 + 1/4 - 1 5/8
Step 2. Simplify 3 * 4 to 12
12 + 1/4 - 1 5/8
Step 3. Simplify 12 + 1 to 13
13/4 - 1 5/8
Step 4. Convert 1 5/8 to an improper fraction.
13/4 - 1 * 8 + 5/8
Step 5. Simplify 1 * 8 to 8
13/4 - 8 + 5/8
Step 6. Simplify 8 + 5 to 13
13/4 - 13/8
Step 7. Find the Least Common Denominator (LCD) of 13/4, 13/8
LCD = 8
Step 8. Make the denominators the same as the LCD
13 * 2/ 4 * 2 - 13/8
Step 9. Simplify. Denominators are now the same
26/8 - 13/8
Step 10. Join the denominators
26 - 13/8
Step 11. Simplify
13/8
Step 12. Convert to a mixed fraction
1 5/8
