Harry maid fruit punch using 2 parts Orange juice to 3 parts of soda water. The amount of soda water that Henry used is directly proportional to the amount of orange juice used. How many cups of orange juice should henry use with 18 cups of soda water?

37.5 degrees

we know angled like this always have 180 degrees total between the 2. which means we can set up a little equation to solve for x. The equation is (3x+22)+(x-4)= 180. Initially we can take the solid numbers (22 and -4) and get rid of them by taking them to the 180. 180- 22 is 158. 158 + 4 is 162. now we have 3x + x = 162. we combine like terms. means we end up with 4x =162. We now divide by 4 which means we get 40.5. Now we know x is 40.5. Now dbc is just 40.5- 4 which is 37.5.

The measure of angle ∠DBC is,

⇒ ∠DBC = 35.5°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Point D is in the interior of ∠ABC.

And, ∠ABD = (3x + 22)°

⇒ ∠DBC = (x - 4)°

Clearly, Both angle make a linear pair.

Hence, We get;

⇒ ∠ ABD + ∠DBC = 180°

⇒ (3x + 22) + (x - 4) = 180°

⇒ 3x + 22 + x - 4 = 180

⇒ 4x + 18 = 180

⇒ 4x = 180 - 18

⇒ 4x = 162

⇒ x = 162/4

⇒ x = 40.5

Hence, The measure of angle ∠DBC is,

⇒ ∠DBC = (x - 4)°

⇒ ∠DBC = (40.5 - 4)°

⇒ ∠DBC = 35.5°

Learn more about the angle visit:;

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Answer:

13 bucks would be the answer hope this helped

Answer:

10

Step-by-step explanation:

5+ x= 3x - 21+6

5+21-6= 3x-x

20=2x

x=20/2

x=10

Answer:

the triangle is an acute triangle

Answer: 3000

100 x 30 = 3000

Answer:

3000 is the answer

Step-by-step explanation:

Here ya go :)

Answer:

The perimeter of other rectangles are 50, 28, 22 units

The area of all possible rectangles are same and equals to 24 unit²

Step-by-step explanation:

Given - Orbet used 24 square tiles to make a rectangle. The perimeter of the rectangle is 20 units.

To find -  What would be the perimeters of the other rectangles Orbet could make using only these 24 tiles? How do the areas of the rectangles compare?

Proof -

We know that

Are of Rectangle = Length × Breadth

And Perimeter of Rectangle = 2 (Length + Breadth )

Now,

Given that,

Orbet used 24 square tiles

And perimeter of the rectangle made = 20

So,

Possible Length of rectangle = 6

Possible breadth of Rectangle = 4

Or Vice-versa.

Total number of Rectangles possible = 4

Possibilities are -  1 × 24, 2 × 12, 3 × 8, 4 × 6

Case I :

Length of rectangle = 1

Breadth of rectangle = 24

∴ Perimeter of rectangle = 2(1 + 24) = 2(25) = 50 units

Area of rectangle = 1 × 24 = 24 unit²

Case II :

Length of rectangle = 2

Breadth of rectangle = 12

∴ Perimeter of rectangle = 2(2 + 12) = 2(14) = 28 units

Area of rectangle = 2 × 12 = 24 unit²

Case III :

Length of rectangle = 3

Breadth of rectangle = 8

∴ Perimeter of rectangle = 2(3 + 8) = 2(11) = 22 units

Area of rectangle = 3 × 8 = 24 unit²

Case IV :

Length of rectangle = 4

Breadth of rectangle = 6

∴ Perimeter of rectangle = 2(4 + 6) = 2(10) = 20 units

Area of rectangle = 4 × 6 = 24 unit²

∴ we get

The perimeter of other rectangles are 50, 28, 22 units

The area of all possible rectangles are same and equals to 24 unit²

Answer:

10(y+28)

Step-by-step explanation:

im factoring  : 44+10y+24

to get this : 10y+280

final answer :=10(y+28)

______________________

Hope this helps!

*sorry im a little late on the answer :D

Answer:6 + 8

Step-by-step explanation:

Add the numbers

Combine like terms

Answer:

the answer is: 6x+8

Step-by-step explanation:

also can I have brainliest please? :)

Answer:

A

Step-by-step explanation:

Answer:

$17,280

Step-by-step explanation:

Formula:

I = Prt

Given:

P = 48000

r = 0.06

t = 6

Work:

I = (48000)(0.06)(6)

I = 17280

Answer:

(a) She is 280m from her starting position

(b) 200m west then 80m south

Step-by-step explanation:

(a) 80m + 200m

= 280m

(b) First she walked 80m north n 200 east

If she want to get back to her starting position she will have to travel the same distance in the opposite direction

Opposite of East is West n opposite north is south

so she will have to go 200m west n then 80m south

Answer:

42 tablespoons

Step-by-step explanation:

a tablespoon is 1/2 a fluid ounce.

so, 21x2= 42

Answer:

B)502.4

i tried it that what i got i don't know about u

Answer:

exactly, or nearly the same

Step-by-step explanation:

The word synonym means the same word of...

The word antonym means the opposite word of...

Hope that helps

Answer:

[tex]\frac{10}{x+2} = \frac{3}{x-2}[/tex]

Step-by-step explanation:

The 10 represents the speed traveling downsteam while the 3 represents speed upstream. Downstream you have the help of the current, so it would be x + 2, upstream you are working against the current so it would be x - 2.

Answer:

I suck I wish I can help to

Answer:

$320

Step-by-step explanation:

To find the original price, divide 240 by 0.75

240/0.75

= 320

So, the original price is $320

Answer:

The original price was $320 dollars

Step-by-step explanation:

25% of 320 is 80.

320 - 80 = 240.

So, the answer is 320.

Hope this helps! :)

Answer:

2.3 hours or 2 hours and 30 minutes thinkkk

Answer:

28.27in

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Answer:

[tex] m\angle 2 = 88\degree - m\angle 1 [/tex]

Step-by-step explanation:

[tex] m\angle 1 + m\angle 2 = m\angle WUV[/tex]

[tex] m\angle 2 = m\angle WUV- m\angle 1 [/tex]

[tex] m\angle 2 = 88\degree - m\angle 1 [/tex]

Answer:

See explanation

Step-by-step explanation:

In most cases, we run into the problem of arranging objects that are repeated. This often occurs when we have a word that has repeated letters.

Let us recall that permutation deals with arrangements which are distinguishable.

Hence, for the word CONCLUSION, the number of distinguishable arrangements are;

10!/2!2!2!

Answer:

B

Step-by-step explanation:

B ask me 4 help i got your back..dont want you to fail.

Answer:

4.5

Step-by-step explanation:

no explanation necessary

Answer:

m∠AZB = 129°

Step-by-step explanation:

From the figure attached,

m∠AZB = m∠AZC + m∠CZB

It's given that measure of angle AZC = 90°

And measure of ∠CZB = 39°

Therefore, m∠AZB = 90° + 39°

                                = 129°

Answer:

1/3

Step-by-step explanation:

The ratio is 1/3 because it's just like dividing 27/3 = 9  and so on.

Answer: (d)

Step-by-step explanation:

Given

[tex]\angle 3=20^{\circ}[/tex]

from the figure, we can write

[tex]\angle 1=\angle 3\quad [\text{vertically opposite angles}][/tex]

[tex]\angle 3=\angle 7\quad [\text{corresponding angles}]\\\angle 5=\angle 7\quad [\text{vertically opposite angles}][/tex]

[tex]\angle 1=\angle 16\quad [\text{corresponding angles}][/tex]

Also,

[tex]\angle 16=\angle 14\quad [\text{vertically opposite angles}][/tex]

[tex]\angle 14=\angle 9\quad [\text{corresponding angles}][/tex]

[tex]\angle 9=\angle 11\quad [\text{vertically opposite angles}][/tex]

Answer:

lol it's x =6

Step-by-step explanation:

hope this helps

Answer:

x = 6

Step-by-step explanation:

x+17=23

17-17 = 23 - 17        17 cancels

x = 6