A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23000 kilograms. Other shipments weighing 7800 kilograms have already been loaded into the container.

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°

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Answer:

-112x-168y, 6(6a-1).

Step-by-step explanation:

-14(8x+12y)

-112x-168y

--------------

36a-6

6(6a-1)

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:

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

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:

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:

Step-by-step explanation:

All of them beside D and A

Answer:

B

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

Sale price:

your sale price should be, $195.25

the origonal price is, $355

sale happens = 45%

Sale price:

$355 times [tex]\frac{(100-45)}{100}[/tex] = $195.25

Hope this helps!

Answer:

28.27in

Step-by-step explanation:

Answer:

I suck I wish I can help to

Answer:

4.5

Step-by-step explanation:

no explanation necessary

Answer:

7.5

Step-by-step explanation:

The square has 4 equal sides, so you take the p,(30) and divide it. 30/4 = 7.5

To check your answer add 7.5 four times since the square has 4 equal sides.

7.5 + 7.5 = 15

15 + 7.5 = 22.5

22.5 + 7.5 = 30

Answer: 3000

100 x 30 = 3000

Answer:

3000 is the answer

Step-by-step explanation:

Here ya go :)

Answer:

42 tablespoons

Step-by-step explanation:

a tablespoon is 1/2 a fluid ounce.

so, 21x2= 42

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:

B)502.4

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

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:

(-8,-2) try it

Step-by-step explanation:

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:

A

Step-by-step explanation:

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:

Red, orange, yellow, green, cyan, blue and purple.

Step-by-step explanation:

The rainbow is a colorful visual and meteorological phenomenon, in which the range of colors that compose the visible light in the sky appears. The phenomenon occurs when the sun's rays fall on raindrops in the Earth's atmosphere and is an example of refraction, after reflection. Each color is refracted at a different angle inside the droplets (which act like small prisms), it undergoes a different deflection and so the visible white light is analyzed in the different colors that compose it.

Answer:

10

Step-by-step explanation:

5+ x= 3x - 21+6

5+21-6= 3x-x

20=2x

x=20/2

x=10

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:

the triangle is an acute triangle

Option A,  DE/AB=EF/BC=DF/AC shows the  corresponding sides as equal ratios

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

From the given triangles

In triangle ABC, the lengths AB is 3, BC is 4 and CA is 5.

In triangle DEF, the lengths DE is 6, EF is 8 and DF is 10.

As the two triangles are similar.

DE/AB=6/3=2

EF/BC=8/4=2

DF/AC=10/5=2

So DE/AB=EF/BC=DF/AC=2

Hence, Option A DE/AB=EF/BC=DF/AC shows the  corresponding sides as equal ratios

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Answer:

1/3

Step-by-step explanation:

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