Answer:
The similarities are;
1) The Third Angle Theorem and the Triangle Angle-Sum Theorem are based on the sum of the angles in a triangle being equal to 180°
2) The Third Angle Theorem and the Triangle Angle-Sum Theorem are used to prove the measure of the third
3) The Third Angle Theorem and the Triangle Angle-Sum Theorem are triangle theorems
The differences are;
1) The Third Angle Theorem is mainly used to prove the similarity of two triangles, while Triangle Angle-Sum Theorem is used to find the measure of the third angle
2) The value of the third angle may not be determined when using the The Third Angle Theorem to prove the similarities between triangles while the value of the third angle is normally determined calculated when the Triangle Angle-Sum Theorem is used to find the third angle given the other two angles in the triangle
Step-by-step explanation:
How do you write The difference between 7 and the product 3x is 23
3x -7 =23
Answer:
y=2x-6
Step-by-step explanation:
y+4=2(x-1)
Subtract 4 to both sides of the equation:
y+4-4=2(x-1)-4
y=2(x-1)-4
Distribute the 2:
y=2x-2-4
y=2x-6
Where 2 is the slope and -6 is the y - intercept.
Answer:
no solution
Step-by-step explanation:
Given
- v + 5 + 6v = 1 + 5v ← combine like terms on left side
5v + 5 = 1 + 5v ( subtract 5 from both sides )
5v = - 4 + 5v ( subtract 5v from both sides )
0 = - 4 ← not possible
Hence the equation has no solution
Answer:
The area of the triangle is 7.5 unit²
Step-by-step explanation:
Here we have the coordinates given as
(-3, 5) (-3, 8) and (2, 5)
Let us call the points A = (-3, 5)
B = (-3, 8) and
C = (2, 5)
Therefore the lengths of the sides of the triangle are
AB = a = 
AC = b = 
BC = c = 
Therefore the Area can be derived from Heron's formula which is
A = 
where s = semi perimeter or (a + b + c)/2
Therefore, plugging the values, we get
s = (3 + 5 + √34)/2 = 6.9155≈6.92
A = 
= 7.499≈7.5.
