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:
(2,-5)
Step-by-step explanation:
P(2,5)
(x,y)
Reflection over x-axis so the x coordinate stays the same while the y coordinate changes from a positive to a negative.
To get 75 decreased by 40% you subtract 40% from 100%.
100 - 40 = 60
So to get 60% of 75 you multiply .60 by 75.
.60 x 75 = 45
You have $45 now, but you have to decrease it by 40% again. You do the same process, so we need to multiply .60 by 45.
.60 x 45 = 27
So, the final result is $27.
Answer:
I think its 4 and 5
Step-by-step explanation:
Answer:
5 and 7
2 and 3
Step-by-step explanation:
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