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tankabanditka [31]
3 years ago
10

Find the value of the variable and BC, if B is between A and C. AB = 5x, BC = 3x-1, AC = 47

Mathematics
1 answer:
schepotkina [342]3 years ago
4 0

Answer:

17

Step-by-step explanation:

AC = AB + BC

Since we know what each variable equals, we can write out the equation as shown:

47 = 5x + 3x - 1

Combining like terms:

47 = 8x - 1

Add 1 on both sides:

48 = 8x

Divide 8 on both sides:

X = 6

Now that we know what X equals, we can solve BC.

BC = 3(6) - 1

BC = 18 - 1

BC = 17

Therefore BC = 17.

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yKpoI14uk [10]
2/3(4/3)= 8/9

Jovan ran 8/9 of a mile in a full hour.

Hope this helps!
4 0
3 years ago
Question number 8. Prove that 3 + √5 is an irrational number.​
Marina86 [1]

Answer :

Let's assume the opposite of the statement i.e., 3 + √5 is a rational number.

\\  \sf \: 3 +  \sqrt{5}  =  \frac{a}{b}   \\  \\   \qquad \: \tiny \sf{(where \:  \: a \:  \: and \:  \: b \:  \: are \:  \: integers \:  \: and \:  \: b \:  \neq \: 0)} \\

\\  \sf \:  \sqrt{5}  =  \frac{a}{b}  - 3 =  \frac{a - 3b}{b}  \\

Since, a, b and 3 are integers. So,

\\ \sf \:  \frac{p - 3b}{b}  \\  \\  \qquad \tiny \sf{ \: (is \:  \: a \:  \: rational \:  \: number \:) } \\

Here, it contradicts that √5 is an irrational number.

because of the wrong assumption that 3 + √5 is a rational number.

\\

Hence, 3 + √5 is an irrational number.

7 0
3 years ago
A.) it has no reflectional symmetry
coldgirl [10]

Answer:

D.) It has rotational symmetry with an angle of rotation of 90 degrees.

Step-by-step explanation:

i) the shape shown in the figure has reflectional symmetry with four lines of symmetry. There are four lines of symmetry such that each line when drawn divides the shape into two exact halves such that if each half were too be folded across the line of symmetry it would produce the other half exactly.

Therefore Option A.) and Option B.) are not true

ii) It has  point symmetry which means if the shape is rotated by 180 degrees the shape does not change. Therefore Option C.) is not true.

iii) the shape has rotational symmetry because if the shape is rotated though any between 0 degrees and 360 degrees the shape appears to be unchanged.

Therefore the correct options are

D.) It has rotational symmetry with an angle of rotation of 90 degrees.

5 0
3 years ago
What is the y intercept of 2y - 2x = 8
Firdavs [7]

Answer:

Step-by-step explanation:

Write in y = mx + b form

here, b ----> y intercept

2y - 2x = 8

     2y = 2x + 8         {Divide the equation by 2}

       \frac{2y}{2}=\frac{2x}{2}+\frac{8}{2}\\

        y = x + 4

y-intercept = 4

3 0
3 years ago
PLEASE HELP I GIVE BRAINLIEST
grigory [225]

Answer:

I would think it would be C. because there is not other answer.

I hoped this help.

please mark brainliest if correct

4 0
3 years ago
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