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Lemur [1.5K]
3 years ago
11

Identify the congruent triangles in the figure.

Mathematics
1 answer:
Komok [63]3 years ago
5 0

Answer:

The answer would be HFG = KIJ (A)

If we know that the opposite and the adjacent side of the triangle are congruent, then the hypotenuse is congruent too. Therefor, A is correct as we know the opposite side and the adjacent side are congruent.

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Use distributive property 5(6+b) *<br> Your answer
EleoNora [17]

Answer:

5b +30

Step-by-step explanation:

5 · 6 = 30

5 · b = 5b

8 0
3 years ago
A swimming pool has a diameter of 24 feet. What is the minimum amount of fabric needed to cover the pool if the cover must hang
Alika [10]

Answer:

531.167 ft²

Step-by-step explanation:

Given data

Dimension of pool

Diameter =24ft

Radius =12ft

If the cover must hang by 1ft around, then the diameter is 26ft

Radius =13ft

Area of cover = πr²

Substitute

Area = 3.142*13²

Area =3.143*169

Area =531.167 ft²

Hence the minimum area is 531.167 ft²

5 0
2 years ago
Write 3x^2-18x-6 in vertex form
Vedmedyk [2.9K]
The standard form of a quadratic equation is \displaystyle{ y=ax^2+bx+c, while the vertex form is:

                      y=a(x-h)^2+k, where (h, k) is the vertex of the parabola.

What we want is to write \displaystyle{ y=3x^2-18x-6 as y=a(x-h)^2+k

First, we note that all the three terms have a factor of 3, so we factorize it and write:

\displaystyle{ y=3(x^2-6x-2).


Second, we notice that x^2-6x are the terms produced by (x-3)^2=x^2-6x+9, without the 9. So we can write:

x^2-6x=(x-3)^2-9, and substituting in \displaystyle{ y=3(x^2-6x-2) we have:

\displaystyle{ y=3(x^2-6x-2)=3[(x-3)^2-9-2]=3[(x-3)^2-11].

Finally, distributing 3 over the two terms in the brackets we have:

y=3[x-3]^2-33.


Answer: y=3(x-3)^2-33
6 0
3 years ago
If x-12/x+36=0, what is the value of x
tatyana61 [14]

Answer:

12

Step-by-step explanation:

x - 12 / x + 36 = 0

Multiply both sides by x + 36

x - 12 = 0 ✖ (x + 36)

x - 12 = 0

Add 12 to both sides

x - 12 + 12 = 0 + 12

x = 12

I hope this was helpful, Please mark as brainliest  

4 0
2 years ago
Read 2 more answers
Really need help with my aleks
tatiyna

Answer:

  • (4x -4)° +x° +(6x-3)° = 180°
  • J = 99°
  • K = 64°
  • L = 17°

Step-by-step explanation:

The relation that helps you write an equation for x is, "the sum of angles in a triangle is 180°."

__

<h3>equation</h3>

  (4x -4)° +x° +(6x -3)° = 180° . . . . . sum of angles in this triangle

<h3>solution for x</h3>

  11x -7 = 180 . . . . . . . divide by °, collect terms

  11x = 187 . . . . . . . . add 7

  x = 17 . . . . . . . . . divide by 11

<h3>angle values</h3>

  m∠J = (6x -3)° = (6(17) -3)° = 99°

  m∠K = (4x -4)° = (4(17) -4)° = 64°

  m∠L = x° = 17°

5 0
1 year ago
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