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
Fractions that have the same number on the bottom have a "common denominator."
The map scale is 6 in : 36 mi
simplify it, divide 6 from both sides
6/6 = 1
36/6 = 6
1 in : 6 mi
To find the amount of inches in 52 miles, divide 52 with 6
52/6 = 8.67 (rounded)
8.67 in should be your answer
hope this helps
Answer: i think its w=15h
Step-by-step explanation:
In a right-triangle, if either of the other two angles are "half that measure", or half of 90°, that means 45°, then the last angle will also have to be a 45° one too, and the sides coming from the 90° angle, will be equal twins, and therefore they can only make up one type-length hypotenuse, and due to that, you can only make that one triangle. Check picture below.
