Two non right triangles would be considered congruent if it would follow at least one of the congruence theorems. They would be congruent if it follows the:
- SSS (side - side - side) theorem where all of the corresponding sides are equal in measurement.
- SAS (side - angle - side) theorem where one pair of a corresponding side and an included angle are of equal values.
-ASA (angle - side - angle) theorem where two pairs of corresponding angle and an included side length are equal.
-AAS (angle - angle - side) theorem where one pair of corresponding angle and non-included side are the same values.
-AAA where all of the angles are of the same value.
Option C
For each value of y, -2 is a solution of -21 = 6y - 9
<u>Solution:</u>
Given, equation is – 21 = 6y – 9
We have to find that whether given set of options can satisfy the above equation or not
Now, let us check one by one option
<em><u>Option A) </u></em>
Given option is -5
Let us substitute -5 in given equation
- 21 = 6(-5) – 9
- 21 = -30 – 9
- 21 = - 39
L.H.S ≠ R.H.S ⇒ not a solution
<em><u>Option B)</u></em>
Given option is 3
- 21 = 6(3) – 9
- 21 = 18 – 9
- 21 = 9
L.H.S ≠ R.H.S ⇒ not a solution
<em><u>Option C)</u></em>
Given option is -2
- 21 = 6(-2) – 9
- 21 = - 12 – 9
- 21 = - 21
L.H.S = R.H.S ⇒ yes a solution
<em><u>Option D)</u></em>
- 21 = 6(9) – 9
- 21 = 54 – 9
- 21 = 45
L.H.S ≠ R.H.S ⇒ not a solution
Hence, the solution for the given equation is – 2, so option c is correct
The range of this data set is 142.
Answer:
4rth 6(5+2)
Step-by-step explanation:
This is because 6 rows of 5 squares means that there is 6 rows with 5 squares each. 6 × 5 = 30. Then there is another set of 6 rows with 2 squares in each, which is 6 × 2 = 12. 30 + 12 = 42. Which is why 6(5+2) = 42. 6(5+2) = 6(5) + 6(2) = 6(7) = 6 × 7 = 6 + 6 + 6 + 6 + 6 + 6 + 6 or 7 + 7 + 7 + 7 + 7 + 7 or 5 + 5 + 5 + 5 + 5 + 2 + 2 + 2 + 2 + 2 + 2 = 42.
