Prove that the diagonals of a parallelogram bisect each other. The midpoints are the same point, so the diagonals _____

Answer:

[tex]\sqrt{100^2 + 420^2}[/tex]

[tex]\sqrt{100^2+420^2}=20\sqrt{466}\quad \left(\mathrm{Decimal:\quad }\:431.74066\dots \right)[/tex]

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

you find the variable

Answer:

total blackberry: $23

total blueberry: $12.80

total: $35.80

Step-by-step explanation:

the blackberry jam is $5/lb

therefore, 4.6 pounds of it -

5 x 4.6

=23

the blueberry jam is $8/lb

using the same method we do

8 x 1.6

=12.8

adding the two totals -

23 + 12.8 = 35.8

in other words, the two jams will be $35.80

Answer:

250 dollars per month.

Step-by-step explanation:

We first need to subtract the amount of money her parents are giving her.

12000-3000=9000.

Since she is saving money every month for 3 years we have to multiply 3×12=36 months.

We than need to divide how much money she needs by the amount of months she has to get it.

9000÷36=250

Answer:

about 2.72 cm.

Step-by-step explanation:

Since, all the bowls are identical, I just added the heights of bothe stacks together and I divided that sum by the number of bowls in each stack all added together.

16.82+21.2=38.02 cm in total height of both stacks.

8+6=14 bowls in all from both stacks

38.02 cm/14 bowls=2.71571428, or rounded, about 2.72 cm

Answer:

90

Step-by-step explanation:

36/x * 40/100 = 3600/40x

and you get x = 90

Answer:

Option a.

Step-by-step explanation:

In the given triangle angle A is a right angle so triangle ABC is a right angled triangle.

Opposite side of right angle is hypotenuse. So, CB is hypotenuse.

From figure it is clear that CA is shorter that segment BA.

All angles are congruent to itself. So angle C is congruent to itself.

We know that, if an altitude is drawn from the right angle vertex in a right angle triangle it divide the triangle in two right angle triangles, then given triangle is similar to both new triangles.

So, triangle ABC is similar to triangle DBA if segment AD is an altitude of triangle ABC.

Therefore, the correct option is a.

Answer:

Step-by-step explanation:

Hello, please consider the following.

The "vertex form" is as below.

[tex]y=a(x-h)^2+k\\\\\text{Where (h, k) is the vertex of the parabola.}\\[/tex]

Let's do it!

[tex]f(x)=\dfrac{1}{2}x^2+3x-2\\\\f(x)=\dfrac{1}{2}\left(x^2+3*2*x\right) -2\\\\f(x)=\dfrac{1}{2}\left( (x+3)^2-3^2\right)-2\\\\f(x)=\dfrac{1}{2}(x+3)^2-\dfrac{9}{2}-\dfrac{4}{2}\\\\f(x)=\dfrac{1}{2}(x+3)^2-\dfrac{9+4}{2}\\\\\large \boxed{\sf \bf \ \ f(x)=\dfrac{1}{2}(x+3)^2-\dfrac{13}{2} \ \ }[/tex]

Thank you.

Answer:

120

Step 1: Value of triangle's sides

First, we need to find out the height of the parallelogram, since the equation to find the area is b * h. To find the height, we must use the Pythagorean Theorem to find the sides of the triangle on the right. Since the base is 15 cm, we know that the top is also 15 cm, so we subtract 9 from 15 to get 6. One of the sides of the triangle is 6, and the hypotenuse (longest side of the triangle) is 10.

Step 2: Pythagorean Theorem

[tex]a^2+b^2=c^2[/tex]. This is the equation we always use if we want to find the sides of a right triangle. Here, a = 6 and c = 10. In the formula, a and c needs to be squared to find b.

[tex]10^2 (10*10)=100\\6^2 (6*6)=36\\\\c^2=100\\a^2=36[/tex]

Now, we have to subtract c^2 from a^2 to get b^2.

[tex]100-36=b^2\\100-36=64\\b^2=64[/tex]

Finally, we find the square of 64 and that is 8.

8 is our height.

Step 3: Finding the area

This last step is really simple. to find the area of this parallelogram, we just have to multiply the height (8) by the base (15).

[tex]8*15=120\\Area=120[/tex]

Our area is 120.

Answer:

120

Step-by-step explanation:

at first you need to calculate h Using the Pythagorean relation

10

[tex]10 { }^{2} = 6 {}^{2} + x {}^{2} [/tex]

[tex] x {}^{2} = 100 - 36 = 64[/tex]

[tex]x = 8 = h[/tex]

area=

[tex]8 \times 15 = 120[/tex]

Answer:

D

Step-by-step explanation:

The area of a triangle is given by:

[tex]A=\frac{1}{2} bh[/tex]

The base is 14 and the height is 8. Plug it into the formula:

[tex]A=\frac{1}{2} (8)(14)\\A=4(14)\\A=56\text{ cm}^2[/tex]

Answer:

30

Step-by-step explanation:

Answer:

Hey there!

You would write that as 2(9-n), where n is the number.

Hope this helps :)

Answer: Line EF=2

Step-by-step explanation: 11 minus 9 is equal to 2. So line EF is equal to 2.

Answer:

Hey there!

The domain of the graph would be [tex]-2\leq x<9[/tex].

Let me know if this helps :)

Answer:

-2 to 9

Step-by-step explanation:

The domain of a graph consists of all the input values shown on the x-axis

Answer:

Step-by-step explanation:

Length of mid-segment = [tex]\frac{(AB+CD)}{2}[/tex]

     [tex]= \frac{48 +24}{2}\\\\\\=\frac{72}{2}\\\\[/tex]

    = 36 in

Step-by-step explanation:

[tex]area \: of \: a \: triangle = \frac{1}{2} \times base \times height \\ \\ base = \frac{a}{2} cm \\ {h}^{2} + {( \frac{a}{2} )}^{2} = {a}^{2} \\ \\ h = \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ area \: of \: triangle = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times \frac{a}{2} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } \\ \\ = \frac{a}{4} \times \sqrt{ {a}^{2} - \frac{ {a}^{2} }{4} } [/tex]

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          Hi my lil bunny!

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A) Let's solve for x.  [tex]2x + 3y = 40[/tex]

Step 1: Add -3y to both sides.

[tex]2x + 3y + -3y = 40 + -3y[/tex]

[tex]2x = -3y + 40[/tex]

Step 2: Divide both sides by 2.

[tex]\frac{2x}{2} = \frac{-3y + 40}{2}[/tex]

[tex]x = \frac{-3}{2} y + 20[/tex]

Answer : [tex]\frac{-3}{2} y + 20[/tex]

~~~~~~~~~~~~~~~~~

B) Let's solve for x. [tex]5x + 2y = 30[/tex]

Step 1: Add -2y to both sides.

[tex]5x + 2y + -2y = 30 + -2y[/tex]

[tex]5x = -2y + 30[/tex]

Step 2: Divide both sides by 5.

[tex]\frac{5x}{5} = \frac{-2y + 30}{5}[/tex]

[tex]x = \frac{-2}{5} y + 6[/tex]

Answer : [tex]\frac{-2}{5} y + 6[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer:

5, 2

Step-by-step explanation:

hope u got it.........

Answer:

y = 5x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

- 5x + y = 2 ( add 5x to both sides )

y = 5x + 2 ← in slope- intercept form

The sides are 3, 5, and 7 because 7 is less than 3 + 5, so it equals a triangle.

The smallest possible perimeter of such triangle would be 8.

Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

[tex](a+b) > c\\(b+c) > a\\(c+a) > b[/tex]

Given; 3 sides of the triangle are consecutive odd numbers.

The sides are 3, 5, and 7 because 7 is less than 3 + 5 so it equals a triangle.

The smallest consecutive odd numbers are 1, 3 and 5

Therefore, the smallest possible perimeter of such triangle = 8

Learn more about triangle inequality theorem here:

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Answer:

106+18≠28

106+18=124

in case the b was misplaced with the 6

10b=28-18

10b=10

10b/10=10/10

b=1

hope this is helpful

Let the number of letters processed on Monday = x

She processed 3 times letters on Tuesday.

Therefore, number of letters processed on Tuesday = 3x

Number of letters processed on Wednesday = 5000

Total number of cards processed in 3 days = 15000

Therefore, equation for the situation will be,

x + 3x + 5000 = 15000

4x = 15000 - 5000

4x = 10000

x = 2500

Since, number of letters processed on Tuesday = 3x

Therefore, number of letters processed on Tuesday = 3(2500)

                                                                                             = 7500

Learn more,

https://brainly.com/question/2415751

Answer:

$86.40

Step-by-step explanation:

The house Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms. In the past month, each person showered for an average of 480 minutes and used an average 72 liters of shower water (over the

entire month). Water costs 0.20 dollars per liter.

How much did Trevor's family pay per minute on shower water

Average person=72 liters of water

6 people=72*6= 432 liters

Each person = 480 minutes

6 people=480*6= 2,880 minutes

Water=$0.20 per liter

Total cost of water= 432 * 0.20

= $86.40

Answer:

o.o3

Step-by-step explanation:

Answer:

1, 2, 4, 8, 16, 32, and 64.

Step-by-step explanation:

64/1 = 64

64/2 = 32

64/4 = 16

64/8 = 8

64/16 = 4

64/32 = 2

64/64 = 1

Hey there! I'm happy to help!

First, we want to see how many Japanese yen there are for 1 U.S. dollar.

This slash (/) means per or for. We see that in the column (USD/1 Unit) the Japanese yen cell has 0.01007. This means that that is how many US dollars there are for each Japanese yen.

However, we want to find how many Japanese yen there are per U.S. dollar. Well, this is the same as writing Yen/1 USD, and in that column we have 99.30487, which means that for every 1 U.S. dollar we have, we have 99.30487 Japanese yen. This means that for $100, we would have 9930.487 Japanese yen.

This / can also represent a dividing sign or a fraction.

What we did is simply take our Units/1 USD and we multiplied the result by $100 (99.30487/1=99.30487, 99.30487×100=9930.487). This matches with the answer 100 USD(99.30487 yen. 1 USD)

Currency exchange is pretty tricky, but if you keep on practicing you'll get very good at it!

Have a wonderful day! :D

The expression that would be most useful in converting $100 to Japanese Yen is 100 ( 99.30487 Yen / 1)

You can use direct proportion to solve this:

If $1 is to Y99.30487 then what will $100 be equal to:

1         :          99.30487 Yen

100    :                x

Cross multiply to get:

1x = 99.30487 Yen x 100

x = (99.30487 Yen x 100) / 1

Which can be written as:

= 100 ( 99.30487 Yen / 1)

In conclusion, the most useful expression to convert $100 to Yen is 100 (99.30487 Yen / 1)

Find out more at https://brainly.com/question/10472985.

Answer:

Manuel made his first mistake in step 2 leading to the continuous mistakes

Final answer=185

Step-by-step explanation:

Manuel made at least one error as she found the value of this expression. 2(-20) + 3[5/4(-20)] + 5[2/5(50)] + 4(50) Step 1: 2(-20) + 3(-25) + 5(20) + 4(50) Step 2: (3 + 2)(-20 + -25) + (5 + 4)(20 + 50) Step 3: 5(-45) + 9(70) Step 4: -225 + 630 Step 5: 405 Identify the step in which Chris made her first error. After identifying the step with the first error, write the corrected steps and find the final answer.

2(-20) + 3[5/4(-20)] + 5[2/5(50)] + 4(50)

Step 1: 2(-20) + 3(-25) + 5(20) + 4(50)

Step 2: -40 - 75 + 100 +

200

Step 3: -115 + 300

Step 4: 185

Manuel made his first error in step 2 by combining two different terms into one as he has done

(3 + 2)(-20 + -25) and also (5 + 4)(20 + 50)

Step 2: (3 + 2)(-20 + -25) + (5 + 4)(20 + 50)

Step 3: 5(-45) + 9(70) Step 4: -225 + 630 Step 5: 405

He should have evaluated the terms separately as I have done above, giving us 185 as the final answer in contrast to his 405 final answer.

Answer:

-16

Step-by-step explanation:

This equation is showing -8 multiplied by 2, and when they are multiplied, the sum of those two numbers is -16.

Answer:

=-16

Step-by-step explanation:

(-8)2

= 2×-8

= -16

9514 1404 393

Answer:

  (√2)² = 2

Step-by-step explanation:

You can do this for any rational root of a rational number. Simple examples are squares and cubes:

  (√5)^2 = 5 . . . . . . √5 is irrational

  (∛6)^3 = 6 . . . . . . . ∛6 is irrational

__

You can also do it with other rational roots:

  x = 83^(2/3) is irrational

  x^(3/2) = 83 is rational

Option B is 1/3 + 1/4.

1/3 + 1/4 is equal to 7/12.

Here, we have,

To find the sum of 1/3 and 1/4, you need to have a common denominator.

The common denominator of 3 and 4 is 12.

To make the fractions have the same denominator, you can convert them as follows:

1/3 = (1/3) * (4/4) = 4/12

1/4 = (1/4) * (3/3) = 3/12

Now that both fractions have a denominator of 12, you can add them together:

1/3 + 1/4 = 4/12 + 3/12 = (4+3)/12 = 7/12

Therefore, 1/3 + 1/4 is equal to 7/12.

now, from the given options, we have,

in option B. it is indicating that,

2/6 + 1/4

=> 1/3 + 1/4.

Hence, Option B is 1/3 + 1/4.

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Answer:

97/4 = 24.25 hours

Step-by-step explanation:

68 = 17x

x = 68/17 = 4

Answer:

True

Step-by-step explanation:

2x = 5x - 10

Subtract 5x from each side

2x-5x = 5x-10-5x

-3x = -10

Answer:

True

Step-by-step explanation:

Given

2x = 5x - 10 ( subtract 5x from both sides )

- 3x = - 10 ← equivalent → True