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
#LearnwithBrainly
Hi, I would be glad to help you here.
<span>7x − 2 < 3 + 2x
Move terms
7x - 2x - 2 < 3
Collect the like terms
(7x - 2x) = 5x (<3 + 2 stays the same)
Calculate
5x (<3 + 2 = 5)
5x <5
Divide both sides of the inequality by (5) giving you,
x < 1
So, finally in a total the correct answer here is (x < 1)
</span>
Answer:
15 < x < 31
Step-by-step explanation:
Given 2 sides of a triangle then the third side x is in the range
difference of 2 sides < x < sum of 2 sides , that is
23 - 8 < x < 23 + 8
15 < x < 31
(I cannot be the number line bit sorry)
When you're finding which one is greater, you can either write these out in words, or you can put them next to eachother.
In words- Olivia: Two million, three hundred and six thousand, four hundred and twenty one. (2306421)
Clayton- Two million, three hundred and two thousand, nine hundred and seventy two. (2302972)
From writing them out, you can see that Olivia's score has 'three hundred and six thousands', where as, Clayton has 'three hundred and two thousand'
Therefore, Olivia got the higher score.
Hope this helps :)
