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bearhunter [10]
3 years ago
5

best answer will be awarded the brainliest and 5 stars write the solution to this problem in standard form so a cubic meter of w

ater has a mass of 10 kilograms. How much water is this in grams please solve and show answer
Mathematics
1 answer:
lianna [129]3 years ago
5 0
1/10,000 cubic meters of water has a mass of one gram. In other words one micrometer of water has the mass of 1 gram.

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Given: mAngleEDF = 120°; mAngleADB = (3x)°; mAngleBDC = (2x)° Prove: x = 24 3 lines are shown. A line with points E, D, C inters
N76 [4]

Answer:

" Vertical angles are congruent " ⇒ 2nd answer

Step-by-step explanation:

* <em>Look to the attached figure </em>

- There are three lines intersected at point D

- We need to find the missing in step 3

∵ Line FA intersects line EC at point D

- The angles formed when two lines cross each other are called

 vertical angles

- Vertical angles are congruent (vertical angles theorem)

∴ ∠ADC and ∠FDE are vertical angles

∵ Vertical angles are congruent

∴ ∠EDF ≅ ∠ADC

∴ m∠EDF ≅ m∠ADC

∵ m∠EDF = 120° ⇒ given

∵ m∠ADC = m∠ADB + m∠BDC

∴ m∠ADB + m∠BDC = 120°

∵ m∠ADB = (3x)° ⇒ given

∵ m∠BDC = (2x)° ⇒ given

∴ 3x + 2x = 120 ⇒ add like terms

∴ 5x = 120 ⇒ divide both sides by 5

∴ x = 24

Column (1)                                                     Column (2)

m∠EDF = 120°                                               given

m∠ADB = 3 x                                                 given

m∠BDC = 2 x                                                 given

∠EDF and ∠ADC are vertical angles           defin. of vert. ∠s

∠EDF is congruent to ∠ADC                        vertical angles are      

                                                                        congruent  

m∠ADC = m∠ADB + m∠BDC                        angle add. post.

m∠EDF = m∠ADC                                          defin. of cong.

m∠EDF = m∠ADB + m∠BDC                         substitution

120° = 3 x + 2 x                                               substitution

120 = 5 x                                                         addition

x = 24                                                              division  

∴ The missing reason is " vertical angles are congruent "

- From the explanation above ∠ADC and ∠FDE are vertical

 angles then they are congruent according to vertical angle

 theorem

6 0
3 years ago
Read 2 more answers
Find the soultion(s) to the system of equations. Select all that apply
neonofarm [45]

Answer:

(0,-3)

(3,0)

Step-by-step explanation:

The solutions to the system of equations are where the two graphs cross

The first is at x=0 and y=-3

The second is at x=3 and y=0

3 0
3 years ago
Sohan can do a piece of work in 10 days. He worked at it
Inessa05 [86]

Answer:

5 days

Step-by-step explanation:

Sohan can do the whole thing in 10 days

he worked 5 days so he did half

and Mohan did the other half in 5 days

so their speeds are same

so if they worked together they'd do it in half the time

i.e 5 days

6 0
3 years ago
What are dust Davils?
GalinKa [24]

do you mean devils if thats what youre saying then dust devils can kill you.

thank you i hope its okay

6 0
3 years ago
Read 2 more answers
I don’t know how to do it can someone help me?
frozen [14]

Answer:f(g(0))= 1/5

              g(f(0))= 7

Step-by-step explanation:

for f(g(0))=you solve for g(x) but you plug in 0 for x so g(0)= 8(0)+3

                                                                                                    =3

 so now you plug in the answer of the function of g(x) witch is 3 and plug it in as the x for F(x) so f(3)= 1/(3)+2

                                     = 1/5

so f(g(0)) is equal to 1/5

Now for G(f(0)) you solve for f(x) by pluging 0 for x so F(0)= 1/(0)+2

                                                                                               =1/2

now you plug in 1/2 for the x of g(x) so g(1/2)= 8(1/2)+3

                                                                         = 4+3

                                                                         =7

so g(f(0)) is equal to 7

Hope this helps:)

3 0
3 years ago
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