Answer:
SAS
Step-by-step explanation:
From the image attached below, in triangle ABC, AB = 15, AC = 20 while in triangle ADE, AD = 12 and AE = 16
Two triangles are said to be similar if they have the same shape, that is either their corresponding angles are the same or their corresponding sides are proportional.
For both triangle ABC and triangle ADE, they have the same angle which is ∠A. Also:
Since two sides of triangle ABC are in the same proportion as two sides of triangle ADE and they have the same angle, therefore they are similar based on the SAS (side-angle-side) similarity
The equation of constant of proportionality will be y = 2.5x.
Given A 2-column table with 3 rows. Column 1 has entries 2, 4, 5. Column 2 has entries 5, 10, 12.5.
Equation of two variables look like ax+by=c. It can be a linear equation,quadratic equation,cubic equation.
Equation from two points can be found out by putting the values of points in the formula given below:
in which 
are the end points of the line.
Equation of constant proportionality looks like:
k=y/x
in which k is slope which is to be find out according to the same formula as we find in the equation of line.
Slope from (2,5),(4,10) is (10-5/4-2)
=5/2
=2.5
Put the value of k=2.5 in formula of slope.
2.5=y/x
2.5x=y
y=2.5x.
Hence the equation of constant of proportionality is y=2.5x.
Learn more about equation at brainly.com/question/2972832
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Answer:
-1
Step-by-step explanation:
Answer:
x=75, y = 50
Step-by-step explanation:
Solve the following system:
{x + y = 125 | (equation 1)
5 x + 8 y = 775 | (equation 2)
Swap equation 1 with equation 2:
{5 x + 8 y = 775 | (equation 1)
x + y = 125 | (equation 2)
Subtract 1/5 × (equation 1) from equation 2:
{5 x + 8 y = 775 | (equation 1)
0 x - (3 y)/5 = -30 | (equation 2)
Multiply equation 2 by -5/3:
{5 x + 8 y = 775 | (equation 1)
0 x+y = 50 | (equation 2)
Subtract 8 × (equation 2) from equation 1:
{5 x+0 y = 375 | (equation 1)
0 x+y = 50 | (equation 2)
Divide equation 1 by 5:
{x+0 y = 75 | (equation 1)
0 x+y = 50 | (equation 2)
Collect results:
Answer: {x = 75
, y = 50
Yes...........................
How?
