The congruence theorems or postulates that proves the following set of triangles are congruent are:
a. SAS congruence postulate
b. SSS congruence postulate
c. SAS congruence postulate
d. SAS congruence postulate
<h3>Triangle Congruence Postulates or Theorems</h3>
- Two triangles having two pairs of congruent angles and a pair of included sides are congruent by the SAS congruence postulate.
- Two triangles having three pairs of congruent sides are congruent by the SSS congruence postulate.
- Two triangles having two pairs of congruent sides and a pair of included angles are congruent by the SAS congruence postulate.
- Two triangles having two pairs of congruent angles and a non-included side are congruent by the SAS congruence postulate.
Therefore, the congruence theorems or postulates that proves the following set of triangles are congruent are:
a. SAS congruence postulate
b. SSS congruence postulate
c. SAS congruence postulate
d. SAS congruence postulate
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Answer:
Step-by-step explanation:
Rewrite into standard form:
Complete the square:
Subtract from both sides:
Divide both sides by 2:
Simplify:
Answer:
7
Step-by-step explanation:
Quadratic Equation: 3x² - 24x + 72
The form we are to convert the equation to:
3x² - 24x + 72
a(x + b)² + 72
3(x² - 8x + 24)
Step 1
Make the Quadratic equation (x² - 8x) in the bracket factorisable using completing the square method
3( x² - 8x +(- 8/2)²) + 24
3( x² - 8x + 16 = -24 + 16
3( x² - 8x + 16 + 8 = 0)
3( x² - 8x + 16) + 8
3( x² - 4x + 4x + 16) + 8
3( x(x - 4) -4(x - 4) + 8
3((x - 4)(x - 4) )+ 8
3( (x - 4)² + 8
Using this form
a(x + b)² + c
a = 3
b = -4
c = 8
We were asked to add up constants a, b, c
Therefore,
3 +(-4) + 8
= 7
Answer:
a. Slope is -2/7
b. b = 1
c. y = 2x + 1
Hope this helps :)
Step-by-step explanation: