Which system of equations is satisfied by the solution shown in the graph?

A. x + 2y = 6 and x − y = 10
B. x + y = 6 and x − 2y = 10
C. x + 2y = 10 and x − y = 6
D. x + y = 6 and x − y = -10

(6) 70, 70, 110

∠2 = ∠4 = 110° ( congruent angles )

∠3 = 180° - 110° = 70° ( straight angle )

∠1 = 70° ( vertically opposite ∠3 )

(9) ∠AEC = 15x - 11

since EC bisects ∠BED then ∠BEC = ∠CED = 4x + 1

∠AEC = ∠AEB + ∠BEC = 11x - 12 + 4x + 1 = 15x - 11

(7) x = 3

AC = AB + ABC = 32

2x + 6x + 8 = 32

8x + 8 = 32 ( subtract 8 from both sides )

8x = 24 ( divide both sides by 8 )

x = 3

c. is your answer I think.

I'll help with number 5 since number 4 is a bit too small and squished to read.

Check out the attached image below for the full two-column proof. The added entries are in red.

The given statement is basically what the teacher shows at the top of the problem, which is the fact that angle 5 and angle 2 are congruent. You just repeat this statement.  

The reason for statement 2 is that angle 2 and angle 4 are vertical angles. They are opposite angles formed by a pair of intersecting lines. This is the vertical angle theorem at work. We'll use the vertical angle theorem again for statement 4 when we say that angle 5 and angle 8 are the same measure.

The transitive property comes into play when we connect angles 2, 5, and 4 together, which helps us get line 3. We also connect angles 4, 5 and 8 together to get the last line, which is why the reason for statement 5 is "transitive property"

y= -5/6x + 5/6 that's your answer

The fourth graph is showing the correct relation between the leaf’s height in feet as a function of time, in seconds.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The height is 12 feet and the rate of falling of leaf is 0.25 feet per second.

Check for the 20th-second leaf's position.

Position = 0.25 x 20 = 5 feet

So in 20 seconds leaf will travel 5 feet so the height of the leaf from the ground is,

H = 12-5 = 7 feet

The fourth graph is showing the position at 7 feet in 20 seconds.

Therefore, the fourth graph is showing the correct relation between the leaf’s height in feet as a function of time, in seconds.

To know more about graphs follow

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I think there's supposed to be a picture here. Anyway, you can find out by finding the slope of the line on the graph and comparing it to .5 which is Henry's slope. If the graphed slope is larger than .5 then Clark hikes faster, if it is less than .5, Henry hikes faster.

Hope this helps :)

To determine which hiker is faster, you need to examine the graph of Clark's rate and compare it to the rate of Henry, which is 0.5 miles per hour.

In the equation y = 0.5x, where y represents the distance Henry hikes in miles over time x in hours, the coefficient 0.5 is the rate at which Henry hikes. This means Henry is hiking at a rate of 0.5 miles per hour.

On the other hand, the graph represents the rate at which Clark hikes. To determine who is faster, you need to compare the rate of Clark's hiking to Henry's rate.

If the graph of Clark's rate is represented by a line with a slope greater than 0.5, then Clark is faster. If the slope is less than 0.5, then Henry is faster.

For example, if the graph for Clark's rate is represented by the equation y = 0.6x, then Clark is hiking at a rate of 0.6 miles per hour, which is faster than Henry's rate of 0.5 miles per hour.

So, to determine which hiker is faster, you need to examine the graph of Clark's rate and compare it to the rate of Henry, which is 0.5 miles per hour.

for such more question on rate

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y=-12x+78 y=-12x+78

y=-12x+78 y=-12x+78

y=-12x+78 y=-12x+78

y=-12x+78 y=-12x+78

For this equation x will be equal to= x=-1/12y+13/2

For this equation y will be equal to y= -12x+78

For the text answers:

conditional - If 2 lines are supplementary then the measure of the angles sum is 180

converse - If the measure if the angle sum is 180 then the 2 lines are supplementary

inverse - If 2 lines are not supplementary then  the measure if the angle sum is not 180

contrapositive - If  the measure if the angle sum is not 180 then 2 lines are not supplementary.

answer to the picture one:

conditional - If you do all your math homework then you will do well on the test.

converse - If you do well on the test then you do all your math homework

inverse - If you do not do all your math homework then you will not do well on the test.

contrapositive - If you do not well on the test then you did not do all your math homework

The conditional statement reads as if two angles are supplementary, then their measures sum to 180 degrees. Its converse flips this relationship around. The inverse and contrapositive negate the original and converse statements, respectively.

In this context, the conditional statement p→q would read: if two angles are supplementary, then the measures of the angles sum to 180°. The converse, q→p, would be: if the measures of the angles sum to 180°, then the angles are supplementary.

The inverse, ~p→~q, changes the original statement to: if two angles are not supplementary, then the measures of the angles do not sum to 180°. Finally, the contrapositive, ~q→~p, would be: if the measures of the angles do not sum to 180°, then the angles are not supplementary. These variations of the original conditional statement allow us to analyze the relationship between the angles and their measures in different ways.

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6+9x=456

Subtract 6 from both sides

6-6+9x = 456-6

9x = 450

Divide each side by 9

X = 50

Plug it in 6+9(50) = 456

6+450 = 456

(9*456)+6

9*456 =4104

4104+6=4110

A relation in mathematics can be reflexive, symmetric, or transitive. To determine which characteristics a relation displays, you'd need to evaluate each pair of elements. This can solidify your understanding of such mathematical concepts.

In Mathematics, a relation is a set of ordered pairs (a, b). Different characteristics define each relation. For example, a relation can be reflexive if every element is related to itself, symmetric if for every pair (a, b) in the relation, the pair (b, a) is also in the relation, or transitive if for every set of three elements a, b, and c, if (a, b) and (b, c) are in the relation, then (a, c) must also be in the relation.

To place the characteristics in the correct column, you may need to review each relation's properties in the image and ascertain whether they exhibit reflexivity, symmetry, or transitivity. Don't forget to check every pair of the elements in order to ensure your decision. This exercise can help solidify your understanding of these complex concepts in mathematics.

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40 is under the number of training hours and the $1700 is under the pay column.

So for 40 hours of training the person would make $1700.

The answer is D.

Answer:

free points

Step-by-step explanation:

She brings 3 donuts because a dozen is 12 and 1/4 of 12 is 3.

I believe 50 beats per minute.

If you do 140 divided by 700 you should get 5. So it should be 5 minutes every 140 heart beats

Step One:  The distributive property

4x = 7x - 21

Step Two: Subtraction of equals from both sides of the equation.

4x - 7x = 7x - 7x - 21  

Step Three

Collecting like terms

-3x = - 21

Step Four

Divide by - 3: division of equals.

-3x/-3 = -21/-3

x = 7

You have a list of these terms somewhere. Everyone writes these differently. You have to translate this into what your notes tell you they are.

Remember to follow the Left -> Right rule.

First, solve 9 - (-6). Remember that two negatives = one positive:

9 - (-6) = 9 + 6 = 15

Now solve:

15 - 12 = 3

3 is your answer

~Rise Above the Ordinary, Senpai

-20 degrees by the time it was noon :)

Answer:

8 degrees Celsius is the answer

Step-by-step explanation:

Since at 5 a.m. the temperature was -6 degrees and the temperature increased 2 degrees every hour until noon, you can subtract noon (12) by 5 to realize that 7 hours have passed. Now multiply 2 by 7 to get 14. This means that the total increase in temperature was 14 degrees Celsius.

Finally, add 14 to -6, and when you do that math, you will get an answer of 8.

1 c because √5  =  √4 and √9  3 +2 =5

2 b.

sqrt ( 36 ) * sqrt ( 49 ) = 6 * 7 = 4

3 c  sq root of - 66 = sqrt ( - 1 ) * sqrt ( 66 ) = i * 8.124

approx. 8 i

Remarq ( i ) = sqrt ( - 1 )

4 √3 c 1.7

5    sqrt ( 112 ) = 10.583   10.6 feet

The points are (c), (b), (c), (c), (c) respectively. The estimates are made by finding the closest square roots, and by rounding to the nearest tenth if necessary.

1. The two square roots used to estimate √5 are √4 and √9 (option c); because 5 is in between 4 and 9.

2. The two square roots used to estimate √43 are √36 and √49 (option b); because 43 is in between these two perfect squares.

3. An estimate for -√66 is -8 (option c); since 66 is closer to 64 which is a perfect square of 8.

4. An estimate for √3 is 1.7 (option c); since the actual value of √3 is approximately 1.732, rounding to the nearest tenth gives 1.7.

5. To estimate the length of one side of the deck, you need to find the square root of 112. The best estimate of √112 is 10.6 feet (option c), as it is the closest to the actual square root of 112 which is approximately 10.58.

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Answer: $2.34

All you do is multiply 39 cents (.39) times how many letters you want to send (6), and that is your answer.

Hope this helps. :)

I will try my best to assist you with your question!

The answer is: C) 3 hours and 12 min

Find the miles per hour the train is going, 75 mph. Then divide 240 by the miles per hour, and you get minutes. Convert minutes into hours

Divide 100 miles by 80 minutes, then multiply by 60 to get how many miles per hour instead of miles per minute

Then divide 240 by 75 and multiply again by 60 to get hours instead of minutes

Hope I helped!

Good Luck!

Have a great day!

A liner inequality that describes the situation would be 3x + 5y < 48.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Suppose you are shopping for crepe paper to decorate the school gym for a dance.

Gold crepe paper costs $5 per roll, and blue crepe paper costs $3 per roll, Your budget allows you to spend at most $48 for crepe paper.

Let x = the number of rolls of blue crepe paper.

Let y = the number of rolls of gold crepe paper.

A liner inequality that describes the situation.

Add these together to get

3x + 5y < 48.

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y = 2

A horizontal line, parallel to the x-axis has equation y = c

where c is the value of the y-coordinate the line passes through.

( - 2, 2) has y- coordinate of 2

equation of horizontal line is therefore y = 2

The answer is h=-2 if you are wondering on how to find that answer negative times a positive equals a negative but negative times a negative equals a positive

Based on the question, you would need to isolate x by itself.  Here is how you do it:

g=xc

divide by c on both sides to get x by itself on the left side.

g/c=xc/c

your final answer would be g/c=x

you can flip that if you like to x=g/c.

Hope this helps!

Note that:

25% = 0.25

Multiply 24 with 0.25

24 x 0.25 = 6

$6 is the discount, with the new price being 18.

hope this helps

The item discount would be $18.00

The answer is C. 10p+6-p=12p-3(p-2)

because if you substitute any number for p, it will always equal each other

a. 5m-6=5m+7m

5(3)-6=5(3)+7(3)

15-6=15+21

9=36

b. 6(3)-5=7(3)+5-3

18-5=21+5-3

13=23

c. 10(3)+6-3=12(3)-3(3-2)

30+6-3=36-3

33=33

d. 3(3)+2=3(3)-2

9+2=9-2

11=7

The squad would be folded into fourths.

Hope it helps ❤️

When a square is folded in half twice, the folded part becomes 1/4 or one-quarter of the original square's area.

When a square is folded in half, it becomes a rectangle, reducing its area to half the original square's area. When this rectangle is folded in half again, its area reduces to half of its current state or a quarter of the original square's area. Therefore, the folded part is 1/4 or one-quarter of the original shape.

For example, let's say our original square is 4 cm by 4 cm, therefore the area is 16 cm^2. If it is folded in half, the new shape is 4 cm by 2 cm with an area of 8 cm^2, half of the original square. Fold this rectangle again in half, the new shape is 2 cm by 2 cm with an area of 4 cm^2, which is a quarter of the original square's area.

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Answer:

2 barn and 4 corn

Step-by-step explanation:

Here we have to pay attention to milk, because both recipes require the same amount of flour, 3 cups, so the flour will be used in equal amounts whatever the recipe we use. Given this, we can only bake 6 trays at most.

Can we bake 6 of barn? YES! Using all our flour and 6*2=12 cups of milk and getting 6 trays of barn muffins. This will give us $2 * 6 = $12. However we keep 8 cups of milk with not use, that could have been used to bake one of corn that are twice as profits as barn. What happens if we replace one of the 6 barn trays by one of corn?

This way we will have 5 of barn and 1 of corn and we will be using 10 + 4 = 14 cups of milk. Our profits will be:  $2*5 + $3*1  =$13. This will improve our income!

Lets replace another barn by one of corn. This way we have 4 of barn and 2 of corn: $2*4 + $3*2 = $14. Again, more income!!

Lets replace another and have 3 barn and 3 corn: $2*3 + $3*3 =  $15. And we can bake them, as they need 2*3 = 6 cups for barn and 4*3=12 cups of milk for corn.

If we replace another we will have 2 of barn and 4 of corn. Our income will be: $2*2 + $3*4  = $16. This implies using 4 cups of mil for barn and 16 cups of mil for corn. So, we use all of our milk.

Any change in the distribution of barn and corn will, even impossible to bake as there will not be more ingredients or less profit