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salantis [7]
3 years ago
9

Please help me with the answer!! There is the picture of the problem^

Mathematics
2 answers:
Greeley [361]3 years ago
6 0

Answer:

A = 84º

B = 74º

C = 22º

Step-by-step explanation:

Since all the three angles of a triangle have to add up to be 180º, one can do...

A + B + C = 180º

So,

(4x+12) + (3x+20) + (x+4) = 180º

8x + 36 = 180º

8x = 144

x = 18

Then you just substitute x in each of the angles

A = 4(18) + 12 = 84º

B = 3(18) + 20 = 74º

C = (18) + 4 = 22º

***Math Check: 84 + 74 + 22 = 180º

inessss [21]3 years ago
4 0

Answer:

X=18

Step-by-step explanation:

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Find the area of each figure. Use 3.14 for x.
Hitman42 [59]

Answer:

For the L shaped thing, the area is 224 ft^2

Step-by-step explanation:

18*(18-10) + 10*(18-10) = 224

Just requires some visualizing :) Hope this helps <3

7 0
3 years ago
Read 2 more answers
A circle has been split into 8 sectors each of which can be colored as 4 different colors, and no consecutive sectors are colore
Eva8 [605]

Answer:

5832 ways

Step-by-step explanation:

Since the circle has 8 sectors and there is 4 colour,

Assuming the sectors are numbered 1 to 8,

Sector 1 : can be coloured with any of the 4 colour in 4 ways

Sector 2 can be coloured with any of the remaining 3 colours in 3 ways

Sector 3 in 3 ways without using the colour in sector 2

Sector 4 in 3 ways without using the colour in sector 3

Sector 5 in 3 ways without using the colour in sector 4

Sector 6 in 3 ways without using the colour in sector 5

Sector 7 in 3 ways without using the colour in sector 6

Sector 8 in 2 ways without using the colours in sector 1 and 7

Number of ways of colouring = 4*3*3*3*3*3*3*2 = 5832 ways

3 0
3 years ago
F(x) = x2 + 4x − 6
german

Since

x^2+4x+4=(x+2)^2

Is a perfect square, we can think of the "-6" at the end as a "+4-10" and we have

x^2+4x-6 = x^2+4x+4-10 = (x+2)^2-10

Which is the required form

6 0
4 years ago
Please help i need to finish
elena-s [515]

Answer:

B. \overline A \overline C \cong \overline B \overline D

Step-by-step explanation:

The hypotenuse leg theorem (HL) requires the proof that the hypotenuse and the corresponding leg of the triangles to be equal in length. From the diagram, it can be found that \overline D \overline C is a common (shared) side of both triangles, so the additional fact needed is for the hypotenuses to be the same length.

∴ \overline A \overline C \cong \overline B \overline D is the additional fact needed to prove \triangle ADC \cong \triangle BCD

Hope this helps :)

5 0
3 years ago
A rectangle has a perimeter of 204 feet. It's length is six feet longer than twice it's width. If L stands for the length of the
Ratling [72]

Answer:

L = 70

W = 32

Step-by-step explanation:

P = 2L + 2W

P 204 feet

W = x

L  = 2x + 6

P = 2L + 2W

P = 2*(2x + 6) + 2*x

P = 4x + 12 + 2x

P = 6x + 12

But we know that P = 204  So 6x + 12 = 204

6x + 12 = 204                    Subtract 12 from both sides

6x + 12 - 12 = 204 - 12       Collect like terms on the right

6x = 192                             Divide by 6

x = 192/6

x = 32

Answer

W = 32

L = 2*W + 6

L = 2*32 + 6

L = 64 + 6

L = 70


7 0
3 years ago
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