A community garden offers two different square-shaped plots of growing space. The larger plot measures one square meter greater than the smaller one. The combined lengths of the two gardens is 3+2 radical 2 meters. What is the area of garden 1?

Step-by-step explanation:

RS bisects PQ at T. PQ bisects RS at T.

prove: Triangle PTS congruent Triangle QTR

(1) RS bisects PQ at T.................(1) Given

(2) PQ bisects RS at T.................(2) Given

(3) angle PST ≅ angle QRT........(3) supplements of congruent angles

(4) TS ≅ TR......................(4) Converse of Base Angles Theorem

(5) angle PTS ≅ angle QTR.........(5) Subtraction Property of Equality

(6) Triangle PTS ≅ Triangle QTR...(6) Angle side angle

Hope it's help you..... ^_^❤️

The value of [tex]y[/tex] will be [tex]4\sqrt{3}[/tex] .

Triangle is a three sides two dimensional surface having three angles.

We have,

[tex]\triangle MRN[/tex] , [tex]\triangle RSM[/tex] and [tex]\triangle RSN[/tex],

And, [tex]NS =6,\ SM=2,\ RM=x,\ NR=y,\ RS=z[/tex]

Now,

We have right angle [tex]\triangle MRN[/tex],

Using Pythagoras theorem,

[tex]x^2+y^2=8^2[/tex]

[tex]x^2+y^2+=64\[/tex]     [tex].....(i)[/tex]

Now, We have right angle [tex]\triangle RSN[/tex],

Again Using Pythagoras theorem,

[tex]z^2+6^2=y^2[/tex]

⇒[tex]z^2=y^2-36[/tex]     [tex].....(ii)[/tex]

Now, We have right angle [tex]\triangle RSM[/tex],

Again Using Pythagoras theorem,

[tex]z^2+2^2=y^2[/tex]

⇒[tex]z^2=x^2-4[/tex]     [tex].....(iii)[/tex]

Now comparing equation [tex](ii)[/tex] and equation  [tex](iii)[/tex],

We get,

[tex]x^2-4=y^2-36[/tex]

We get,

[tex]x^2-y^2=-36+4[/tex]

[tex]x^2-y^2=-32[/tex]     [tex].....(iv)[/tex]

Now,

Adding equation [tex](i)[/tex] and equation  [tex](iv)[/tex], i.e.

[tex]x^2+y^2+=64[/tex]

[tex]x^2-y^2=-32[/tex]

We get,

[tex]2y^2=96[/tex]

[tex]y^2=48[/tex]

[tex]y=\sqrt{48}[/tex]

[tex]y=4\sqrt{3}[/tex]

So, the value of [tex]y[/tex] is [tex]4\sqrt{3}[/tex]

Hence, we can say that the value of [tex]y[/tex] will be [tex]4\sqrt{3}[/tex]  which is given in option (b).

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Answer:

its c

Step-by-step explanation:

taking test rn

The total number of tickets sold by the Houston Astros for an entire season of home games is 2,980,476.

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Answer:

$4.84

Step-by-step explanation:

Answer:

x2√x

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

0

Step-by-step Explanation

[tex]y = 20x \\ \\ y = 20x + 0 \\ \\ equating \: it \: with \\ y = mx + b \\ \\ b = 0 \\ \\ y - intercept \: = 0[/tex]

Answer:

i think its 22c

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]14 + 19 = - 9c - 2c[/tex]

Simplify

[tex]33 = - 11c[/tex]

Divide both sides by -11

[tex] \frac{33}{ - 11} = \frac{ - 11c}{ - 11} [/tex]

Simplify

[tex] - 3 = c[/tex]

c = -3

Answer:

1/2

Step-by-step explanation:

remember that the formula for the slope of a line is

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

where m is the slope, and the x and y variables are the x-y coordinates of two points. Choose two points on the line:

Point 1 : (-1,3) and Point 2 : (1,4)

Plug in your values:

[tex]m=\frac{4-3}{1-(-1)}[/tex]

[tex]m=\frac{1}{2} \\[/tex]

So the slope of this line is 1/2 !

Answer: The slope is [tex]\frac{1}{2}[/tex].

Here is a visual explanation when you use a graph instead of ordered pairs:

Answer:

AL=2πrh

Step - by - step explanation:

Answer:

276.5

Step-by-step explanation:

The formula for the lateral surface area of a cylinder:2 times 3.14 times radius times height

Answer:

Cameron scored a 94% on his test.

Step-by-step explanation:

47 / 50 = 0.94 x 100 = 94

For you to find the percentage, you need to divide 47/50, which ends up 0.94. After this, multiply by 100 so that you move the decimal place 2 times to the right. Thus, you get 94.

Answer: x  = 5

Step-by-step explanation:

using pythagorean theorem

a^2   + b^2  = c^2

x^2  + 12^2  = 13^2

x^2  + 144 = 169

x^2 = 169 - 144

x^2 = 25

find the square root of 25

x = 5

Answer:

i forgot what it was sorry

Step-by-step explanation:

Answer:

4x+36

-6x+12

Step-by-step explanation:

Answer:

$18

Step-by-step explanation:

Sales price of each ostrich egg = $2

Sales price of each goose egg = $0.50

Amount spent after every dollar earned = $0.10

Number of ostrich eggs sold = 5

Number of goose eggs sold = 20

To find:

Total money left after the feeds are bought?

Solution:

First of all, let us find the total money earned by Samantha.

Money earned by selling ostrich eggs = [tex]2\times 5[/tex] = $10

Money earned by selling goose eggs = [tex]20\times 0.50[/tex] = $10

Total money earned by selling both the eggs = 10+10 = $20

Money spent on feeding on every $1 = $0.10

Money spent on feeding on every $20 = 0.10 [tex]\times[/tex] 20 = $2

Total money left after buying feeds = $20 - $2 = $18

Answer:

102336

Step-by-step explanation:

Im bored

Answer:

Hi, my name is Kasey. Are you talking about me??

Step-by-step explanation:

Answer:

D. x=3

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

You replace F(x) with 7, so

7=-2x+6

1=-2x  <--- subtract by 6

-1/2=x  <---- divide by -2

Answer: x=5/6

Step-by-step explanation:

2x + 1/3 = 2

(2x + 1/3 = 2)*3

6x+1=6

6x=5

x=5/6

Null hypothesis is stated as H0: Sunflower seeds planted in well-drained soil will grow faster than sunflower seeds planted in wet soil.

Null hypothesis is defined as the hypothesis that stated that there is no relationship between the two population parameters. It is denoted by H0

To form the null hypothesis we take it as

   Null hypothesis : The sample data provides no evidence to support some claim being made by an individual.

Thus according to the question the null hypothesis can be stated as

 Null hypothesis, h0 : Sunflower seeds planted in well-drained soil will grow faster than sunflower seeds planted in wet soil.

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Answer:

ummmm

Step-by-step explanation:

u already answer ur own question tho?

Answer:

d divided by 10

Step-by-step explanation:

The total number of tickets given away is 280

To do this, we make use of the following representations:

From the question, we have the following equations:

a = 20 + c --- 20 more adult than children

s = 3a ---- 3 times as many senior as adult

c = 40 --- number of children tickets

Substitute c = 40 in a = 20 + c

a = 20 + 40

a = 60

Substitute a = 60 in s = 3a

s = 3 * 60

s = 180

The total number of tickets is:

Total = a + c + s

This gives

Total = 60 + 40 + 180

Evaluate

Total = 280

Hence, the total number of tickets given away is 280

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Answer:

42

Step-by-step explanation:

6 × 7 = 42

Brainliest Please!!

- Hermionia

Answer:

114. There is something wrong with the options im 100% sure its 114 talk to your teacher.

The solution is just to substitute

Answer:

The slopes of line segments AC and AD are same or constant i.e [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

We need to find slopes of AC and AD and tell if they are same or not.

The formula used to calculate slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Finding slope of AC

We have A=(3,2) and C=(0,1)

Finding slope using formula:

We have [tex]x_1=3, y_1=2, x_2=0,y_2=1[/tex]

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{1-2}{0-3}\\Slope=\frac{-1}{-3}\\Slope=\frac{1}{3}[/tex]

So, Slope of AC is [tex]\frac{1}{3}[/tex]

Finding slope of AD

We have A=(3,2) and C=(9,4)

Finding slope using formula:

We have [tex]x_1=3, y_1=2, x_2=9,y_2=4[/tex]

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{4-2}{9-3}\\Slope=\frac{2}{6}\\Slope=\frac{1}{3}[/tex]

So, Slope of AD is [tex]\frac{1}{3}[/tex]

So, the slopes of line segments AC and AD are same or constant i.e [tex]\frac{1}{3}[/tex]

Answer:

Good.

Step-by-step explanation:

Answer:

This looks really good to me!