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3 years ago

4.) Which best describes the relationship between < AFB and < AFD?

Mathematics

1 answer:

MAVERICK [17]3 years ago

5 0

Answer:

C. Supplementary angles

Step-by-step explanation:

Given

<AFB = 72

Required

Relationship of <AFB and <AFD

<AFB and <AFD are on a straight line and angle on a straight line is 180

From the presentation of both angles,

<AFB + <AFD = 180

Substitute 72 for <AFB

72 + <AFD = 180

Make <AFB the subject of formula

<AFD = 180 - 72

<AFD = 108

Since both <AFB and <AFD sums to 180, then they are supplementary angles.

Hence, the relationship between both angles is supplementary angles

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2.85 as a mixed number

WARRIOR [948]

The number 2.85 can be writen using the fraction 285/100 which is equal to 57/20 when reduced to lowest terms.
It is also equal to 2 17/20 when writen as a mixed number.
You can use the following approximate value(s) for this number:57/20 =~ 2 6/7 (if you admit a error of 0.250627%)2.85 =~ 2 5/6 (if you admit a error of -0.584795%)2.85 =~ 3 (if you admit a error of 5.263158%)

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3 years ago

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3x + 5 = x - 3

dusya [7]

Answer:

x = -4

Step-by-step explanation:

3x + 5 = x - 3

Subtract x from each side

3x+5-x = x-3-x

2x+5 = -3

Subtract 5 from each side

2x+5-5 = -3-5

2x = -8

Divide each side by 2

2x/2 = -8/2

x = -4

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3 years ago

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Patrons in the children's section of a local branch library were randomly selected and asked their ages. The librarian wants to

Zinaida [17]

To make a dot plot, make a numbered line and add dots above the numbers of the given ages. If there are more than one of the same number, add a dot above the dot already there.

See attached picture:

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=10x-16y%3D12%20%5C%5C%205x-3y%3D4" id="TexFormula1" title="10x-16y=12 \\ 5x-3y=4" alt="10x-16y

Molodets [167]

Answer:

24/25

Step-by-step explanation:

Step 1: Define systems of equation

10x - 16y = 12

5x - 3y = 4

Step 2: Rewrite one of the equations

5x = 4 + 3y

x = 4/5 + 3y/5

Step 3: Solve for y using Substitution

Substitute 2nd rewritten equation into 1: 10(4/5 + 3y/5) - 16y = 12
Distribute the 10 to both terms: 40/5 + 30y/5 - 16y = 12
Simplify the fractions down: 8 + 6y - 16y = 12
Combine like terms (y): 8 - 10y = 12
Subtract 8 on both sides: -10y = 4
Divide both sides by -10: y = 4/-10
Simply the fraction down: y = -2/5

Step 4: Substitute y back into an original equation to solve for x

Substitute: 5x - 3(-2/5) = 4
Multiply: 5x + 6/5 = 4
Subtract 6/5 on both sides: 5x = 14/5
Divide both sides by 5: x = 14/25

Step 5: Check to see if solution set (14/25, -2/5) is a solution.

Substitute into an original equation: 10(14/25) - 16(-2/5) = 12
Multiply each term: 28/5 + 32/5 = 12
Add: 12 = 12

Here, we see that x = 14/25, y = -2/5 and solution (14/25, -2/5) indeed works.

Step 6: Find x - y

x = 14/25

y = -2/5

Substitute: 14/25 - (-2/5)
Simplify (change signs): 14/25 + 2/5
Add: 24/25

Hope this helped! :)

6 0

3 years ago

Read 2 more answers

Please help. I’ll mark you as brainliest if correct!

sesenic [268]

Answer:

Quantity (lbs) of type 1 candy x = 8

Quantity (lbs) of type 2 candy y = 17,5

Step-by-step explanation:

Let´s call "x" quantity (in pounds) of candy type 1 in the mixture, and "y" quantity (in pounds ) of candy type 2, then according to the problem statement.

x + y = 25,5

2,20*x + 7,30*y = 5,70 * 25,5 ⇒ 2,20*x + 7,30*y = 145,35

Then we have a two equation system

x + y = 25,5 ⇒ y = 25,5 - x

2,20*x + 7,30*y = 145,35 ⇒ 2,20*x + 7,30* (25,5 - x ) = 145,35

2,20*x + 186,15 - 7,30*x = 145,35

5,1*x = 40,8

x = 40,8/5,1

x = 8 lbs

And y = 25,5 - 8

y = 17,5 lbs

5 0

3 years ago