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Ulleksa [173]
2 years ago
15

Amar thinks of a number If he takes away 6 from ⅔ ? of number, the result is

Mathematics
1 answer:
lakkis [162]2 years ago
5 0

Let's assume the number as x

According to the question,

2/3x-6=22

2x-6=22×3

2x= 66-6

2x=60

x=60/2=30

Therefore, as x=30, The number is 30 itself.

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Geometry: Write a formal proof, ASAP!!!
yulyashka [42]

{\qquad\qquad\huge\underline{{\sf Answer}}}

Here we go ~

As we can see in the figure, lines m and n are parallel to each other. so we can apply Angle pair properties ~

So,

\qquad \sf  \dashrightarrow \:  \angle1  \cong \angle2

[ they form corresponding angle pair ]

and it's given that :

\qquad \sf  \dashrightarrow \:  \angle2 \cong\angle 3

therefore, by using above information. we can conclude that :

\qquad \sf  \dashrightarrow \:  \angle1 \cong \angle3

7 0
2 years ago
Divide Rs 8100 for three persons in the proportion of 2:3:4​
Andru [333]

Step-by-step explanation:

Money = Rs 1800

Ratio = 2:3:4

1st Person = 2x

2nd Person = 3x

3rd Person = 4x

X = ?

2x + 3x + 4x = 1800

9x = 1800

X = 200

1st Person = 2x = 2×200 = <u>Rs 400</u>

2nd Person = 3x = 3×200 = <u>Rs 600</u>

3rd Person = 4x = 4×200 = <u>Rs 800</u>

7 0
2 years ago
Y=x^2+bx+c;(-2,3)
Maksim231197 [3]
<h3>Answer:  b = 4 and c = 7.</h3>

===============================================

Explanation:

Comparing y = x^2+bx+c to y = ax^2+bx+c, we see that a = 1.

The vertex given is (-2,3). In general, the vertex is (h,k). So h = -2 and k = 3.

Plug those three values into the vertex form below

y = a(x-h)^2 + k

y = 1(x-(-2))^2 + 3

y = (x+2)^2 + 3

Then expand everything out and simplify

y = x^2+4x+4 + 3

y = x^2+4x+7

We see that b = 4 and c = 7.

8 0
2 years ago
What is the area of the sector? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter
n200080 [17]

Question:

What is the area of the sector? Either enter an exact answer in terms of π or use 3.14 and enter your answer as a decimal rounded to the nearest hundredth.

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the values of radius and central angle are not given.

However, I'll answer the question using the attached figure.

From the attached figure, the radius is 3 unit and the central angle is 120 degrees

The area of a sector is calculated as thus;

Area = \frac{\alpha }{360} * \pi r^2

Where \alpha represents the central angle and r represents the radius

By substituting \alpha = 120 and r = 3

Area = \frac{\alpha }{360} * \pi r^2 becomes

Area = \frac{120}{360} * \pi * 3^2

Area = \frac{1}{3} * \pi * 9

Area = \pi * 3

Area = 3\pi square units

Solving further to leave answer as a decimal; we have to substitute 3.14 for \pi

So, Area = 3\pi becomes

Area = 3 * 3.14

Area = 9.42 square units

Hence, the area of the sector in the attached figure is 3\pi or 9.42 square units

8 0
3 years ago
In 45 years, Gabriel will be 4 times as old as she is right now <br> How old is she right now?
Brut [27]

Answer:

She is 11.25 years old.

Step-by-step explanation:

I just did 45 divided by 4.

3 0
3 years ago
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