Points J and K are midpoints of the sides of triangle FGH.

Triangle F G H is cut by lines segment J K. Point J is the midpoint of side G H. Point K is the midpoint of side H F. Line segments G J and J H are congruent. Line segments H K and K F are congruent. The Length of J K is 2 y + 5 and the length of G F is 5 y + 3.

What is the value of y?

2
5
7
8

Step-by-step explanation:

a full circle has 360°.

so, since each individual result is represented by an amount of degrees, the total sum of all results must be 360°.

labour = 360 - 136 - 34 - 54 - 14 = 122°

the fraction 122/360 represents the 183 votes for labour.

122/360 = 183

the fraction 1/1 = 1 then represents the total number of votes in the whole system.

61/180 = 183

1/180 = 3

1 = 3×180 = 540

540 pupils voted altogether.

Answer:

(x + 3)(x - 3)

Step-by-step explanation:

Use difference of squares property:

(x + 3)(x - 3)

Answer:

see explanation

Step-by-step explanation:

the figure has 4 congruent sides and 4 right angles and is therefore a square, then

8x - 15 = 3x + 11 ( subtract 3x from both sides )

5x - 15 = 11 ( add 15 to both sides )

5x = 26 ( divide both sides by 5 )

x = 5.2

Answer:

It's a square

x = 26/5

Step-by-step explanation:

Well, since all the sides are equal (shown by the 3 lines in the sides) and all the angles are 90 degrees (show by the little squares in the corners), I believe the shape is a square.

Because the sides are equal, you would set up the equation by making the two expressions equal to each other:

3x + 11 = 8x - 15

The next step is to get the variable (x) on only one of the sides. You can do this by subtracting 3x from both sides or by subtracting 8x from both sides. I will subtract 3x here just so the new number can be positive, but either will work.

3x + 11 = 8x - 15

-3x -3x

0 + 11 = 5x - 15

Now, you isolate the x by adding 15 to both sides. Remember, whatever you do to one side, you must also do it to the other side of the equal sign.

11 = 5x - 15

+15 +15

26 = 5x

Lastly, get rid of the number in front of the x so that x is alone on a side of the equal sign. You do this by dividing both sides by 5.

x = 26/5

Now, you can either make this into a mixed number or a decimal or keep it how it is. I hope this helps :]

The data given on the table about the ten participants in the health study shows that B. The post-run mean and median are the same value.

This can be found as:

= (87 + 95 + 96 + 101 + 110 + 104 + 100 + 101 + 90 + 96) / 10

= 98

First order the pulses from smallest to largest:

= 87, 90, 95, 96, 96, 100, 101, 101, 104, 110

The two digits in the middle are:

96 and 100

The median will be:

= (96 + 100) / 10

= 98

In conclusion, option B is correct.

Find out more on the median at https://brainly.com/question/396397.

Answer:

181.44

Step-by-step explanation:

In term of Rajan

CP= Rs 180

P= 20%

So,

P = 20*180/100

= Rs 36

SP=CP + P

=Rs 216

In term of Sajan

CP= Rs 216

loss=20%

l = 20*216/100

= Rs 43.2

SP= CP - l

= Rs 172.8

In term of Nirajan

CP= 172.8

P = 5%

P = 5*172.8/100

= Rs 8.64

so,

SP=CP + P

=172.8 + 8.64

= Rs 181.44

Answer:

idrk the answer but now I know

Answer:

A) 4n+30=95

B) 95-30=65 4n=65 65/4=16.25 or 17 weeks to save a little more than $95

C) the least number of weeks would be 17 since it says a whole week

Step-by-step explanation:

Hope this helped.

A brainliest is always appreciated.

Answer:

i dont know

Step-by-step explanation:

Answer:6340000

Step-by-step explanation:

Answer:

hey buddy

do u rember me its me manisha

Answer:

c

Step-by-step explanation:

vertical translation down two units

Answer:

(3, 5)

Step-by-step explanation:

Answer:

(3, 5)

explanation:

solve for x:

5x-10=-3x+14

5x + 3x = 14 + 10

8x = 24

x = 3

solve for y:

y = 5x -10

y = 5(3) - 10

y = 5

In (x, y) form → (3, 5)

Answer:

11.7

Step-by-step explanation:

I just solved and added them all-

Step-by-step explanation:

525 - 75 = 450

18 for ever one

equals to 450

18x = 450

450÷18 = x

450 ÷ 18 is

comment and i will check

please put brainest

Step-by-step explanation:

EF/EC = FG/CD

12/EC = 20/45

12 = 20/45 EC

12×45/20 = EC

27 = EC

EC = 27

At the considered rate the fraction of pool that is filled per hour is 13/12

Suppose that we have to measure the rate of change of y as x changes, then we have:

[tex]Rate = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

where we have

[tex]\rm when \: x=x_1, y = y_1\\when\: x = x_2, y= y_2[/tex]

Remember that, we divide by the change in independent variable so that we get some idea of how much the dependent quantity changes as we change the independent quantity by 1 unit.

(5 change per 3 unit can be rewritten as 5/3 change per 1 unit)

For the considered case, we can take time spent as difference of independent variable, and the amount of pools filled as the corresponding difference of the dependent variable.

in 12 hour time interval total 13 pools were filled.

That means

Rate of filling the pool is 13 pools per 12 hours or [tex]\dfrac{13}{12}[/tex] pools per hour.

Thus, at the considered rate the fraction of pool that is filled per hour is 13/12

Learn more about rate of change here:

https://brainly.com/question/11484885

Answer:

n = 220.1

Step-by-step explanation:

the value of n is 220.1

The dimension of the rectangle is (x + 5) and (x – 2). Then the correct option is B.

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The area of the rectangle is x² + 3x – 10.

On factorization, we have

x² + 3x – 10

x² + 5x –2x – 10

x (x + 5) –2 (x + 5)

(x + 5) (x – 2)

We know that the area of a rectangle is given as

Area = Length × Width

x² + 3x – 10 = (x + 5)(x – 2)

On comparing, we have

The dimension of the rectangle is (x + 5) and (x – 2). Then the correct option is B.

More about the factorization link is given below.

https://brainly.com/question/6810544

Answer:

see picture

Step-by-step explanation:

Answer:

6a (6a + 4)

Step-by-step explanation:

What is the highest number that goes both into 36 and 24? That is 6. What else do they have in common? The letter a

So 6a(6a + 4)

Answer:

-15

Step-by-step explanation:

(y2 - y1)/( x2 - x1) = (4-64)/(3+1) = -60/4 = -15

Answer:

182 is 72.8% of 250

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

Explanation:

The [tex]n^2[/tex] terms cancel out because

[tex]n^2 + (-n^2) = n^2 - n^2 = 0n^2 = 0[/tex]

The n terms combine to

5n + (-3n) = 5n - 3n = 2n

Lastly, the constants combine to

-6 + 4 = -2

Overall we have 2n - 2 as the simplified result.

Answer:

$73158.07

Step-by-step explanation:

The way to get this is realize that appreciate by 3% means that the value will go up 3% each year. in order to do this we must multiply 65000 by 1.03 4 times. 65000 times 1.03 times 1.03 times 1.03 times 1.03 = 73158.07.

please mark me as brainlyest

Answer: $73,157.50

Step-by-step explanation:

Given: bought price of apartment(p) = $75000, rate of appreciation(r) = 4.3% and time(t) = 7 years

We know the compound interest/appreciation formula is:

S=p(1+r/100)^t

[tex]\begin{aligned}S &=\$ 65000\left(1+\frac{3}{100}\right)^{4} \\&=\$ 65000\left(\frac{100+3}{100}\right)^{4} \\&=\$ 65000\left(\frac{103}{100}\right)^{4} \\&=\$ 65000\times 1.1255 \\&=\$ 73,157.50\end{aligned}[/tex]

Therefore, the apartment will be worth about $73,157.50 in 4 years

Answer:

the answer is 80

Step-by-step explanation:

it wrote the problem down on paper and did the math and i got 80

Answer:

x = 14

y = 7

z = 22

Step-by-step explanation:

x = # of cucumbers

y = # zucchini

z = # tomatoes

x + y + z = 43

2y = x  or  y = x/2

x + 8 = z

x + x/2 + x + 8 = 43

2x + x/2 = 35

4x + x = 70

5x = 70

x = 14

2y = 14

y = 7

14 + 8 = z

z = 22

Check if these variables are right:

14 + 7 + 22 = 43 ✔️

Given :

[tex] \qquad \longrightarrow \sf \: 5p {}^{3} + 10 {p}^{2} + 3p + 6[/tex]

Solution :

The first two terms of the polynomials are :

[tex]\qquad \longrightarrow \sf \: 5p {}^{3} + 10 {p}^{2} [/tex]

[tex]\qquad \longrightarrow \sf \: 5p {}^{2} (p + 2)[/tex]

Therefore,

⠀

The last two terms of the polynomials are :

[tex]\qquad \longrightarrow \sf \: 3p + 6[/tex]

[tex]\qquad \longrightarrow \sf \: 3(p + 2)[/tex]

Therefore,

Answer:

4.5

explanation:

4.5 x 5(This number is not exactly important, but is used as an example)

Is extremely close to the true square root of 21.

That is 4.58257569495584 unrounded.

Answer:

810

Step-by-step explanation:

SP = 729, LOSS = 10.1

[tex]loss \: = \frac{(cp - sp)}{cp} \times 100 \\ \\ 10 = ( \frac{cp - 729}{cp} ) \times 100[/tex]

10 CP = CP x 100 - 729 x 100

729 x 100 = 90 CP

[tex]cp = \frac{729 \times 100}{90} = 810 [/tex]

Cost Price,

$810

Answer:

851.1

Step-by-step explanation:

It would be 851.1