Answer: x = 22
Explanation:
1) Corresponding sides and correspoding angles of congruent triangles are equal.
2) When you name two congruent triangles the order of the vertices signal which sides and angles are congruents.
That triangle ABC is congruent to triangle DEF means that these are the corresponding parts, which are congruent to each other:
- ∠A and ∠D are congruent
- ∠B and ∠ E are congruent
- ∠C and ∠F are congruent
- Segment AB and segment DE are congruent
- Segment BC and segment EF are congruent
- Segment AC and segment DF are congruent
In the figures, it is given that the segment DF measures (1/2)x - 1 and the corresponding segment AC measures 10 units.
Hence, you set this equation: (1/2)x - 1 = 10
Solving for x:
- (1/2)x = 10 + 1
- (1/2)x = 11
- x = 2(11)
- x = 22 ← answer
They are x = 8 and x = -4
Answer:
That will be;
3x^2 + 5x -6 = 0
Step-by-step explanation:
Here, we want to write 3x^2 + 5x = 6 in the form
ax^2 + bx + c = 0
That will be;
3x^2 + 5x -6 = 0
We can simply get it by bringing the value 6 from the right hand side of the equation to the left hand side of the equation
