Select the conjecture with the rephrased statement of proof to show the diagonals of a parallelogram bisect each other.

BRO HELP ITS DUE TMRW WILL GIVE BRAINLIEST AND POINTS

Answer:

y = x + 7

Step-by-step explanation:

The line rises at a slope of 1 and intercepts the y-axis at 7.

Answer:

  not similar

Step-by-step explanation:

You want to know if two isosceles triangles are similar, given that one has a base angle of 78°, and the other has an a.pex angle of 16°.

The base angles of the triangle with a.pex angle 16° will be ...

  (180° -16°)/2 = 82° . . . . . . not 78°

Two isosceles triangles will be similar if they have congruent base angles. These triangles do not, so they are not similar.

Answer:

689.7

Step-by-step explanation:

A bearing is a measurement of direction that uses North as a point of reference. Your bearing is 00° if you are moving north.

The angle from north to this bearing, measured counterclockwise, is the actual bearing. Utilize the knowledge that west is 270° from the north, south is 180°, and east is 90°.

The number of degrees in the angle measured counterclockwise from the north line to the line connecting the center of the compass is the bearing of a point.

How do you determine bearing angle?

The bearing is the angle subtracted in a clockwise direction from north to west. The bearing is 270° - 17° = 253° since the angle from north to west is 270°.

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The null and alternative are always claims about the population. That's because the goal of hypothesis testing is to make inferences about a population based on a sample.

Null hypothesis testing is a formal approach to deciding whether a statistical relationship in a sample reflects a real relationship in the population or is just due to chance.

To simplify a phrase, create an equivalent expression without any terms that are identical.The expression will then be rewritten using the fewest terms feasible.

What is an equation to simplify?

      2+1

    =   3

    2³  = 8

    first one 8

   2.  x²× x°

   = x ²+°

   3.a6_a4

  = a2

 4.   x×x×y×y

   =x²y²

  5 x²×x×y×y²

 =   x³y³

  6.(mn)5

=  m5N5

 7 (abc)²

 = a²b²c²

 8.(p²q)³

 p6q3

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Using probability, we know that the left-tailed area exists at 17.87%.

So, now calculate as follows:

Using formula:

Substitute the values in the above equation, and we obtain:

Simplifying the equation, we will get:

Finally, by using a table we calculate the left-tailed area:

Therefore, using probability, we know that the left-tailed area exists at 17.87%.

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Complete question:

The average price for a gallon of gasoline in the United States is $3.73 and in Russia, it is $3.40. Assume these averages are the population means in the two countries and that the standard deviation of $.25 in the United States and a standard deviation of $.20 in Russia. What is the probability that a randomly selected gas station in the United States charges less than $3.50 per gallon?

The value of x is 11.

What is an equation?

Equations are mathematical statements which contains two algebraic expressions on both sides of an equal to '=' sign. it represents the relationship of equality among the expressions.

We are given an equation (7x+4)+(10x-11)=180

We open brackets and simplify the equation by adding similar values we get

17x-7=180

17x=187

on dividing both sides by 17 we get

x=11

Hence the value of x is 11

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A piecewise function is basically a function that behaves differently at different domain intervals.

The given piecewise function is

As you can see, the function has a different expression for the interval x is less than or equal to 3 and a different expression for the interval x is greater than 3.

The easiest way to determine which graph corresponds to the given piecewise function is to evaluate the piecewise function at different values of x and graph it.

Evaluate the piecewise function for the interval x is less than or equal to 3.

Evaluate the piecewise function for the interval x is greater than 3.

Now, let us graph these points

As you can see from the graph, it matches with the graph of the 2nd option.

Therefore, the correct graph of the given piecewise function is the 2nd graph.

Answer:

Step-by-step explanation:

radius, r = 2√2

let the center be A(a, b):

The distance from the center to any of the 2 points is r.

So for (7, 2):

it satisfies the equation:

(x-a)²+(y-b)² = r²

Substituting x and y:

(7-a)²+(2-b)² = (2√2)²

squaring both sides:

(7-a)² + (2-b)² = 8

a² +b² - 14a -4b + 49+ 4= 8

a² +b² - 14a -4b + 45= 0        (Eqn 1)

For (3, 2):

it also satisfies the equation:

(x-a)²+(y-b)² = r²

Substituting x and y:

(3-a)²+(2-b)² = (2√2)²

squaring both sides:

(3-a)² + (2-b)² = 8

a² +b² - 6a -4b + 9+ 4= 8

a² +b² - 6a -4b + 5= 0        (Eqn 2)

We can now proceed by elimination:

(Eqn 2) - (Eqn 1):

(a² +b² - 6a -4b + 5) - (a² +b² - 14a -4b + 45) = 0

- 6a - -14a+ 5  - 45 = 0

8a - 40 = 0

8a = 40

a = 40/8

Putting a back into (Eqn 2):

a² +b² - 6a -4b + 5= 0

5² +b² - 6(5) -4b + 5= 0

25 +b² - 30 -4b + 5= 0

b² -4b = 0

b(b -4) = 0

Values of b:

POSSIBLE EQUATIONS OF CIRCLE:

Since we have 2 values of b, we have 2 possible centers:

(5, 0) and (5, 4)

Putting the centers into the standard equation of the circle above, we obtain:

PLEASE VOTE AS BRAINLIEST.

BLAISE M.

The method used to prove the specified geometric relationship between the angles and sides of the triangles are as follows:

24. ΔDAE ≅ ΔBAC by SAS postulate, therefore

25. ΔACD ≅ ΔBCD by ASA postulate

26 ΔACD ≅ ΔBCD               LH postulate.

The congruency postulates include, SSS, Side-Side-Side, AAS, Angle-Angle Side, SAS, Side-Angle-Side, HL, Hypotenuse Leg.

24. The two column proofs are presented as follows;

Statements            Reasons

1. [tex]\overline{CD}[/tex] bisects [tex]\overline{BE}[/tex] 1. Given

2. [tex]\overline{BA}[/tex] = [tex]\overline{AE}[/tex]             2. Definition of bisected line

3. . [tex]\overline{BA}[/tex] ≅ [tex]\overline{AE}[/tex]           3.. Definition of congruency

4. [tex]\overline{CA}[/tex] = [tex]\overline{AD}[/tex]             4. Definition of bisection of line [tex]\overline{CD}[/tex]

5. [tex]\overline{CA}[/tex] ≅ [tex]\overline{AD}[/tex]            5. The definition of congruency

6. ∠DAE ≅ ∠BAC   6. Vertical angles theorem

7. ΔDAE ≅ ΔBAC    7. SAS congruency postulate

8. ∠B ≅ ∠E              8. CPCTC

The acronym, CPCTC represents Corresponding Parts of Congruent Triangles are Congruent

25. Statement                 Reasons

1. [tex]\overline{CD}[/tex] ⊥ [tex]\overline{AB}[/tex]                     1. Given

2. [tex]\overline{CD}[/tex] bisects ∠ACB     2. Given

3. ∠3 = ∠4 = 90°            3. Definition of bisected lines

4. ∠1 ≅ ∠2                      4. Definition of bisected angle ∡ACB

5. ΔACD ≅ ΔBCD          5. ASA congruency postulate

6. ∡A ≅ ∡B                     6. CPCTC

26. Statement                                        Reason

1. m∠1 = m∠2 = 90°                                1. Given

2. ΔACD and ΔBCD are right triangles 2. Definition

3. [tex]\overline{AC}[/tex] ≅ [tex]\overline{BC}[/tex]                                             3. Given

4.  [tex]\overline{CD}[/tex] ≅  [tex]\overline{CD}[/tex]                                          4. Reflexive property

5. ΔACD ≅ ΔBCD                                   5. LH Congruency postulate

6 ∡A ≅ ∡B                                               6. CPCTC

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Answer: [tex]x=-\frac{1}{2}, y=\frac{9}{2}[/tex]

Step-by-step explanation:

[tex]5x+7=7x+8\\\\2x=-1\\\\x=-\frac{1}{2}\\\\\implies y=5\left(-\frac{1}{2} \right)+7=\frac{9}{2}[/tex]

given the proportion :

we will find x as follows:

So, the answer is: x = 32

The 10th term of the Geometric Sequence {3,4,16/3....} is 262144/6561.

The [tex]n^{th}[/tex] term of the Geometric Sequence is

given by the formula

aₙ = a*rⁿ⁻¹

where , a is the first term , r is the common ratio .

in the question ,

the sequence is given as {3,4,16/3....}

here we need to find the common ratio(r) ,

we know , r = a₂/a₁

So , r= 4/3 .

Since we need to find the 10th term  , so n=10 .

Substituting the values in the nth term formula , we get

a₁₀ = (3)*(4/3)¹⁰⁻¹

= 3* (4/3)⁹

= 4⁹/3⁸

= 262144/6561

The 10th term is 262144/6561.

Therefore , the 10th term of the Geometric Sequence {3,4,16/3....} is  262144/6561.

The given question is incomplete , the complete question is

Find the 10th term of the Sequence  {3,4,16/3....} ?

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The position of N on the line segment is at the -14 mark

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

The complete question is added as an attachment

From the attachment, we have

The ratio is given as:

MN : NP = 7 : 2

Also, we have

Location of M = -27

Location of P = -9

The location of N is then calculated as

N = MN/(MN + NP) * (M - P)

Substitute the known values

N = 7/(7 + 2) * (-27 + 9)

Evaluate the sum

N = 7/9 * -18

Evaluate the product

N = -14

Hence, the location of point N is -14

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Let l be the length of the rectangle and w its width.

Then its area is given by:

a = l*w

Its perimeter is given by:

p = 2l + 2w

We also know that, for this specific triangle, we have:

2w = l - 4

l = 2w + 4

a = 126 m²

Applying this result in the area formula, we have:

w*l = 126

w(2w + 4) = 126

2w² +4w = 126

2w + 4w - 126 = 0

Therefore, w = 7 m and l = 2*7 + 4 = 10 m

Then, the perimeter is given by:

p = 2*18 + 2*7 = 36 + 14 = 50 m

A segment MN has endpoints M(-7.-6) and N(7,7). Find the coordinates of partition point P that divides the segment into a 5:2 ratio. ​

___________________________

Find the coordinates of partition point P that divides the segment into a 5:2 ratio. ​

5:2 means that it is divided into 7, and we do not move two positions from (7,7)

X axis

7- (-7) = 14

14/7 = 2

7-2*2 = 3

Y axis

7-(-6)= 13

13/7 =

7 - 2* (13/7) = 49/7 - 26/ 7 = 23/7 = 3 2/7

______________________________

Answer

(3, 3 2/7)

Price after the 25% discount: $21.75

This means that $21.75 is 75% of the original price. If x is the original price, then:

Answer: see the attachment

Step-by-step explanation:

h = # of hours worked

{10h and {15(h-40)+400 are both functions i.e. simplified equations

simply fit the # of hours worked in each equation to get the values. you can also double check your work or to understand better

to do so, take (h) # of hours worked and multiply by the pay rate. This gives the total pay over the work week. then take the extra hours beyond the 40. ie 7.  if $10 is the pay rate per hour and OT is 1.5xnormal pay then 10x1.5=15. Multiply 15x7 and you get 105 then add to 400 and you get $505. 400 comes from 10(40).

part b and c is just setting the functions.

so instead of 40 hrs per week your full-time rate is now 38 and anything beyond would be counted as overtime. so a normal work week of 38 hrs x the $10/hr would equate to $380 for the week.

part c, if the hours per week were kept normal at 40hrs/week but the pay rate is increased this then changes 10 = h to 12 = h. if 12=h and you work 40hrs/week, then 12(40)=$480 for the normal work week. also this changes your OT pay from 10(1.5)=15 to 12(1.5)=$18

The equation of the line that is parallel to k and passes through (-1, 3) is

- x + 2y = 7

The equation of a line can be represented in different form such as point slope form, slope intercept form and standard form.

Therefore, the equation of the line is parallel to k.

Parallel line shave the same slope.

Therefore, let's find the slope of k to find the slope of the equation of the line.

Hence, using (7, 2)(1, -1)

m = -1  - 2 / 1 - 7

m = - 3 / -6

m = 1/ 2

Therefore, the slope of the line is 1 / 2. Let's find the y-intercept using the point (-1, 3)

3 = 1 / 2(-1) + b

3 = - 1 / 2 + b

b = 3 + 1 / 2

b = 7 / 2

Hence, the equation is as follows;

y = 1  /2x + 7 / 2

2y = x + 7

2y - x = 7

- x + 2y = 7

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The materials and cost of Kara's project obtained using Pythagorean theorem, are;

(a) Distance between fence posts is 2•√(14) feet

(b) Kara needs about 12 fence posts

(c) Kara will need 22 diagonal pieces

(d) Kara's total cost is $281

Pythagoras theorem can be stated as, the square of the length of the hypotenuse side of a right triangle is equal to the sum of the squares of the other two sides.

The drawing obtained from a similar question consists of two diagonals between consecutive posts.

(a) The given parameters are;

Height of the fence post = 5 feet

Length of the diagonal pieces = 9 feet

The distance, d, between the fence posts using Pythagorean theorem gives;

d² = 9² - 5² = 56

d = 2•√(14)

The distances between the fence posts should therefore be 2•√(14) feet

(b) The number of fence posts, n, is given by the equation;

2•√(14) × n = 93

Which gives;

[tex] \displaystyle {n = \frac{93 }{2 \cdot \sqrt{14}} \approx 12.43}[/tex]

Given that after the 12th post, the 1st post comes next and the distance remaining is less than d, the number of posts, n is 12

(c) The number of diagonal pieces, m, needed, given that there are two diagonal pieces between two posts and there is only 11 in between spaces, gives;

m = 2 × 11 = 22

There are 22 diagonal pieces

(d) Cost of a fence post = $17

Cost of a diagonal piece = $3.5

Total cost, C, is therefore;

C = 12 × 17 + 22 × 3.5 = 281

Kara's total cost is $281

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The general form of exponential function is given below:

the formula to get the expected value is

So, first we calculate teh probabilities. We have 20 bills in total. so we divide the quantity of bills of each value by the total:

we have 8 ones: 8/20= 2/5

5 fives: 5/20=1/4

4 tens: 4/20= 1/5

3 twenties = 3/20

now, we multiply each value with te probabilitiy of picking it and add all

the expected value is 4.1

Let

y ----> total cost in dollars

x -----> number of miles

we have that

Option B

y=50

Option A

Find out the slope

take two points from the graph

(0,20) and (150,50)

m=(50-20)/(150-0)

m=30/150

m=1/5=$0.20 per mile

therefore

y=0.20x+20

Part A

For x=75 miles

Option A -----> y=0.20(75)+20=$35

Option B ------> y=$50

therefore

Option A costs less

Find out the difference

$50-$35=$15

Cost $15 less than the other option

Part B

Looking at the graph

For x=150 miles

Both options cost the same

If David drives more than this amount option B costs less

The reasonable fraction for the part of the pan of brownies Kayla gave away is 1/2.

Kayla gave 1/3 of a pan of brownies to Ella and 1/6 of the pan to Eli.

Therefore, the part given away will be the addition of the fractions. This will be:

= 1/3 + 1/6

= 2/6 + 1/6

= 3/6

= 1/2

Therefore, 1/2 of the brownies were given away.

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According to the given information, the reason for the second statement is definition of supplementary angles, this is because the definition of supplementary angles says that the sum of two supplements is 180°.

It means that the answer is B. Definition of supplementary angles.

Answer:

positive

Step-by-step explanation:

for a line to be perpendicular to another line, the slope must be reciprocaled and if its positive it becomes negative (vice versa)

y = -1/2x+3 = Line A

y = 2x+3 = PERPENDICULAR to Line A

Answer: Multiply 7 and 14

Step-by-step explanation: to find the answer you multiply 7 and 14 you get 98$ which is the total cost pls consider making me brainliest if im correct i really hope i am :)) make sure to tell me if im wrong

Answer:

Step-by-step explanation:

Step 1: Assume your variables

We can see that the money is being saved on a weekly basis.

So, let's assume the number of weeks for which the money is being saved to be the variable: [tex]x[/tex]

And let's consider the total cost after [tex]x[/tex] weeks to be: [tex]y[/tex]

Step 2: Manipulate the variables according to the information given

$7 is being saved each week.

So, in one week, [tex]\$7[/tex] is saved.

In two weeks, [tex]\$(7\times 2)[/tex] is saved.

So, in [tex]x[/tex] weeks, [tex]\$(7\times x)[/tex] is saved.

Step 3: Create the equation

In words, the equation will be as such:

Total cost after [tex]x[/tex] weeks = Amount saved in [tex]x[/tex] weeks

Upon representing this mathematically, we get:

[tex]y=7\times x\\y=7x[/tex]

The equation  [tex]y=7x[/tex]  can be used to find the total cost.

After simplification of 4√(384.5)³ using logarithm​, the resulting answer is 30158.13684.

So,  4√(384.5)³ using logarithm​:

Therefore, after simplification of 4√(384.5)³ using logarithm​, the resulting answer is 30158.13684.

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