The formula to find the rate of change is y2-y1/x2-x1
6-(-4)/-3-(-1)
=10/-2
=-5
The expression would be: x+8
The equation would be: x+8=
x = 4 and EF = 4 ⇒ 3rd answer
Step-by-step explanation:
If two triangles are congruent, then
1. Their corresponding sides are equal
2. Their corresponding angles are equal
3. Their areas and perimeters are equal
∵ △ ABC ≅ △ DEF
∴ AB ≅ DE
∴ BC ≅ EF
∴ AC ≅ DF
∵ BC = 4 x - 12
∵ EF = -3 x + 16
∵ BC = EF
∴ 4 x - 12 = -3 x + 16
Let us solve the equation to find x
∵ 4 x - 12 = -3 x + 16
- Add 3 x for both sides
∴ 7 x - 12 = 16
- Add 12 to both sides
∴ 7 x = 28
- Divide both sides by 7
∴ x = 4
Substitute the value of x in the expression of EF
∵ EF = -3 x + 16
∵ x = 4
∴ EF = -3(4) + 16 = -12 + 16
∴ EF = 4
x = 4 and EF = 4
Learn more:
You can learn more about congruence of Δs in brainly.com/question/3202836
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Answer:
Step-by-step explanation:
The first thing you need to do is develop the equation. Less in this case means subtract.
On the left side you have
9 times a number which is 9*x
5 less than 9 times a number means 9x - 5
Now you shift to the right
x = 3
x + 19 What you get is
9x - 5 = x + 19 Subtract x from both sides of the equation
9x - x - 5 = 19 Combine both x terms on the left
8x - 5 = 19 Add 5 to both sides.
8x - 5 + 5 = 19 + 5 Combine terms
8x = 24 Divide by 8
x = 24/8
x = 3
