Answer:
7 and 13
Step-by-step explanation:
x+y=20
x-y=6
2x=26, x=13, 13+7=20, 13-7=6.
Formulating a system of equations, we have:
x+y=-6 Equation 1
x-y=12 Equation 2
Solving the system of equations, we have:
y = -6 - x (Subtracting x from both sides of the Equation 1)
x - (-6 - x)=12 (Replacing y=-6-x in the Equation 2)
x + 6 + x = 12 (Using the sign rules)
2x + 6 = 12 (Adding like terms)
2x = 6 (Subtracting 6 from both sides of the Equation)
x=3 (Dividing on both sides by 2)
Replacing x=3 in y=-6-x , we have:
y = -6 - 3
y= -9
Given that the numbers are 3 and -9, the smallest of them is -9.
The answer is -9.
Answer:
C converse of alternate interior angles
The attached triangles ABC and DEF are similar by SSS
<h3>Similar triangles</h3>
Triangles may be similar, congruent or not; this depends on the relationship between both triangles
<h3>
Equivalent ratio</h3>
For two or more triangles to be similar, then the corresponding sides of the triangles must have an equivalent ratio.
Take for instance, the attached triangle.
The triangles are similar, and the equivalent ratio (k) is calculated as follows:
![k =\frac{4}{8} = \frac{6}{12} = \frac{8}{16}](https://tex.z-dn.net/?f=k%20%3D%5Cfrac%7B4%7D%7B8%7D%20%3D%20%5Cfrac%7B6%7D%7B12%7D%20%3D%20%5Cfrac%7B8%7D%7B16%7D)
Each quotient would result in 0.5.
So, we have:
![k = 0.5](https://tex.z-dn.net/?f=k%20%3D%200.5)
This means that, the triangles are similar by SSS
Read more about similar triangles at:
brainly.com/question/14285697
Answer:
B
Step-by-step explanation:
Picture shows the formula to find the circumference of a circle