Answer:
181 is the longest side. the hyp is the longest side of a right triangle.
Answer:
C) 20, 4
Step-by-step explanation:
X = 5y
2x + 5y = 60
substitute in 5y for x: 2(5y) + 5y = 60
10y + 5y = 60
15y = 60
y = 4
x = 5y
x = 5(4) = 20
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:
x=−7
Step-by-step explanation:
(x+4)(2)−3(x+4)−3=0
(x)(2)+(4)(2)+(−3)(x)+(−3)(4)+−3=0(Distribute)
2x+8+−3x+−12+−3=0
(2x+−3x)+(8+−12+−3)=0(Combine Like Terms)
−x+−7=0
Answer:
Option: A is correct.
Step-by-step explanation:
Since we are given a information that:
A contractor needs to fence a rectangular backyard for a client.
(1) The length of the backyard should be at least(gretaer than or equal to)
150 ft.
The length of the backyard is denoted by 'y' as in the graph.
Hence according to statement (1) we have:
y≥ 150
(2) The distance around should be no more than 450 ft.
This means that the perimeter has to be less than or equal to 450 ft.
Hence, 2x+2y ≤ 450.
So such inequalitiies on graphing will give the graph same as in A option.
Hence option A is correct
