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2 years ago

Please help i am confused

Mathematics

1 answer:

son4ous [18]2 years ago

7 0

Answer: (4)

Step-by-step explanation:

The parts listed in the congruence statements don't correspond, so they aren't necessarily congruent.

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What is the value of $x$ if $-\frac23(x-5) = \frac32(x+1)$?

Ipatiy [6.2K]

Answer:

x = (-29)/5

Step-by-step explanation:

Solve for x:

(2 (x - 5))/3 = (3 (x + 1))/2

Multiply both sides by 6:

(6×2 (x - 5))/3 = (6×3 (x + 1))/2

6/3 = (3×2)/3 = 2:

2×2 (x - 5) = (6×3 (x + 1))/2

6/2 = (2×3)/2 = 3:

2×2 (x - 5) = 3×3 (x + 1)

2×2 = 4:

4 (x - 5) = 3×3 (x + 1)

3×3 = 9:

4 (x - 5) = 9 (x + 1)

Expand out terms of the left hand side:

4 x - 20 = 9 (x + 1)

Expand out terms of the right hand side:

4 x - 20 = 9 x + 9

Subtract 9 x from both sides:

(4 x - 9 x) - 20 = (9 x - 9 x) + 9

4 x - 9 x = -5 x:

-5 x - 20 = (9 x - 9 x) + 9

9 x - 9 x = 0:

-5 x - 20 = 9

Add 20 to both sides:

(20 - 20) - 5 x = 20 + 9

20 - 20 = 0:

-5 x = 9 + 20

9 + 20 = 29:

-5 x = 29

Divide both sides of -5 x = 29 by -5:

(-5 x)/(-5) = 29/(-5)

(-5)/(-5) = 1:

x = 29/(-5)

Multiply numerator and denominator of 29/(-5) by -1:

Answer: x = (-29)/5

4 0

3 years ago

In order to select ne board members the french club heald a election 3 members voted in the election. And 7 did not vote what pe

igor_vitrenko [27]

Answer:

30% members have voted.

Step-by-step explanation:

Given:

Number of members voted = 3

Number of members didn't vote = 7

We need to find what percentage of people voted.

Solution:

First we will find the total number of members in the election.

Now we can say that;

The total number of members in the election is equal to sum of Number of members voted and Number of members didn't vote.

framing in equation form we get;

The total number of members in the election = $7+3=10$

Now we will find the percentage of people voted.

So we can say that;

Percentage of members voted can be calculated by dividing Number of members voted from The total number of members in the election and then multiplying by 100 we get;

Percentage of members voted = $\frac{3}{10}\times100 = 30\%$

Hence 30% members have voted.

8 0

3 years ago

These two rectangles are similar. Find the missing dimension. (I need an answer ASAP, I also need a step by step answer)

nevsk [136]

20/5=4 so 5x4 which means 2x4=8 so x is 8 hopes this helps

7 0

3 years ago

A large washer has an outer radius of 10mm and a hole with a diameter of 14mm. What is the area of the top surface of the washer

choli [55]

<h2>Answer:</h2>

The area of the top surface of the washer is: 160.14 square mm.

<h2>Step-by-step explanation:</h2>

The top of the surface is in the shape of a annulus with a outer radius of 10 mm and a inner radius of 7 mm ( since the diameter of the hole is: 14 mm and we know that the radius is half of the diameter)

Now, we know that the area of the annulus region is given by:

$Area=\pi (R^2-r^2)$

where R is the outer radius and r is the inner radius.

Here we have:

$R=10\ mm\\\\and\\\\r=7\ mm$

Hence, we have:

$Area\ of\ top\ surface=\pi (10^2-7^2)\\\\i.e.\\\\Area\ of\ top\ surface=\pi (100-49)\\\\i.e.\\\\Area\ of\ top\ surface=\pi\cdot 51\\\\i.e.\\\\Area\ of\ top\ surface=160.14\ mm^2$

4 0

3 years ago

Read 2 more answers

A square has side lengths of (4x+5) inches.Write an expression to represent the perimeter of the rectangle.Then find the perimet

Marat540 [252]

Answer:

68 inches

Step-by-step explanation:

P = 2 (L + W)

P = 2(4x+5 + 4x+5)

P = 2(8x + 10)

P = 16x + 20

If x= 3

P = 16(3) + 20

P = 48 + 20

P = 68 inches

3 0

3 years ago