Select the conjecture with the rephrased statement of proof to show the diagonals of a parallelogram bisect each other.
D
A
E
C
B
In parallelogram ABCD, show triangle ADC is congruent to triangle CBA
O In parallelogram ABCD, show triangle DEA is congruent to triangle CEB
O In quadrilateral ABCD with AB congruent to CD and AD is congruent to BC, show ABCD is a parallelogram
O In parallelogram ABCD, show DE is congruent to BE and AE is congruent to CE

The completion of the credit card table is as follows:

Month Carryover    Finance      New         Ending

            Balance     Charge   Purchase     Balance    Payment

1            $600         $10.60        $70         $680.60      $47.64

2           $632.96     $11.12         $70          $714.08      $49.99

Credit card attracts finance charges.

The finance charges are the interest for using some credit to finance purchases.

Most finance charges are based on the annual percentage rate (APR), which may also be used to obtain the monthly percentage rate (MPR) by dividing the APR by 12.

The finance charge is applied to the unpaid balance at the end of the period, which may be daily, weekly, or monthly.

Carryover balance = $600

Annual percentage rate (APR) = 18.99%

Monthly percentage rate (MPR) = 1.5825% (18.99% ÷ 12)

Recurring monthly purchase = $70

Monthly payment = 7% of the ending balance

The finance charge for month 1 = $10.60 ($600 + $70 x 1.5825%)

Payment for month 1 = $47.64 ($680.60 x 7%)

Carryover balance for month 1 = $632.96 ($680.60 - $47.64)

The finance charge for month 2 = $11.12 ($632.96 + $70 x 1.5825%)

Payment for month 2 = $47.64 ($714.08 x 7%)

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Slope intercept form has the general form of y = mx + b, where m is the slope and b is the y-intercept.

You are given the y-intercept with the point (0, -10). Thus, the y-intercept is -10.

You are also given the slope of 1.

Next, just plug your numbers in!

y = 1x - 10

y = x - 10

Hope this helped!

Answer:

1. The problem involves finding the length of a slide about a ladder. The slide and the ladder form a right triangle, with the ground and the slide as the hypotenuse.

2. The top of the ladder is 10 feet above the ground, and the bottom of the ladder is 12 feet from the bottom of the slide.

3. In order to solve this problem, a diagram can be used to represent the scenario.

4. Label the bottom of the slide as point A, the bottom of the ladder as point B, and the top of the ladder as point C.

5. Draw a straight line from point A to point B and label it 12 feet.

6. Draw a straight line from point B to point C and label it 10 feet.

7. Draw a straight line from point A to point C, which is the hypotenuse of the triangle.

8. Use the Pythagorean Theorem to find the length of the hypotenuse.

9. The Pythagorean Theorem states that a2 + b2 = c2, where a and b are the sides of the triangle and c is the hypotenuse.

10. In this problem, a is 12 feet, and b is 10 feet. Plugging these values into the equation, we get 122 + 102 = c2. Solving for c, we get that the length of the slide is 14.04 feet to the nearest tenth of a foot.

Step-by-step explanation:

Answer: 17 million

Step-by-step explanation: thank me later hehe

Answer: Teresa needs 27 logs to maintain the fire for 18 hours.

Step-by-step explanation:

We're dealing with a proportional relationship, so each ratio of logs to hours must be equivalent.

Hint #22 / 4

Here's one way to write the proportion:

18 hours = y logs

​

= 4 hours 6 logs

​

Hint #33 / 4

Now, solve the proportion for yyy:

18

y

yyy

=

4/6

​

=

2/3

​

=

2/3⋅18

=

2/3⋅18

​

=

1/2

3⋅18/9

=

1/3⋅9

​

= 1/27

​

=27

​

Could you elaborate a bit more on what the question is asking? Cuz it seems there is more to this then is shown. If you could, I'll see what else I can do to help. Tysm!

Answer:

4/11 is not a terminate

Because it is non- terminate,if we divide those non- terminating numbers than the divided answer is repeated.

The simplified form of the given expression, 6 × 10⁻³ / 8 × 10⁻⁶, is 3/4  × 10³

From the question, we are to simplify the given expression

The given expression is

6 × 10⁻³ / 8 × 10⁻⁶

Simplifying the expression

6 × 10⁻³ / 8 × 10⁻⁶

This can be written as

6/8 × 10⁻³/10⁻⁶

Reduce the fraction

3/4  × 10⁻³/10⁻⁶

Apply the division law of indices

3/4  × 10⁻³ ⁻ ⁽⁻⁶⁾

3/4  × 10⁻³ ⁺ ⁶

3/4  × 10³

Hence, the value is 3/4  × 10³

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The number of variable terms in the given expression are 6g and 5h.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have the following expression -

6g − 11 + 5h

The number of variable terms in the given expression are -

6g and 5h.

Therefore, the number of variable terms in the given expression are 6g and 5h.

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The value of angle RPQ in the circle is 115 degrees.

The intersecting chords theorem, also known as the chord theorem, is an elementary geometry statement that describes a relationship between the four line segments formed by two intersecting chords within a circle.

If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

Therefore,

∠RPQ = 1  / 2 (arc angle RQ + arc angle SA)

arc angle RQ = 175 degrees

arc angle SA = 55 degrees

Hence,

∠RPQ  = 1 / 2 (175 + 55)

∠RPQ  = 1 / 2 (230)

∠RPQ  = 115 degrees.

The angle is 115°.

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The polynomial expression that represents the perimeter is (3x^3 +3x -148)ft and the value is 182ft

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.

Perimeter of the triangle is the sum of the sides of the triangle which is = 2x^2 -120 + x^2 -5x +8x -28

Perimeter = (3x^2 +3x -148)ft

when x = 10

Perimeter = 3(10)^2 +3(10) -148 = 182ft

In conclusion the expression  (3x^2 +3x -148)ft is the expression for the perimeter of the triangle and the value is 182ft

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what I ended up with was each student needs to to collect about $17.87

Answer:

Step-by-step explanation:

x=0

y=3(1/4)^x-1

y=3(1/4)^0-1

y=3(1)-1

y=2

y intercept is at (0,2)

If someone purchased 7 adult tickets and 3 kids tickets, they would get 10 total tickets.

If someone purchased a adult tickets and k kids tickets, they would get a+k total tickets.

The equation would be (8 x b) + 10 or 8b + 10, hopefully this helped :))

Answer:

8b+10

Step-by-step explanation:

8b+10

hope it helps. please mark brainliest

Answer:

y = 3x + 1

Step-by-step explanation:

The general form of the slope intercept form is y = mx + b where m is the slope and b is the y-intercept.  

In perpendicular lines, we find the slope of the second equation (m2) using the formula:

[tex]m_{2}=-\frac{1}{m_{1} }[/tex]

Since -1/3 is m1 we have:

[tex]m_{2}=-\frac{1}{-(\frac{1}{3}) } \\ m_{2}=3[/tex]

Now that we've found the slope of the second line, we simply need to find b or its y-intercept by plugging in (-2, -5) and our slope:

[tex]-5=3(-2)+b\\-5=-6+b\\1=b[/tex]

Thus, the equation of the second line is y = 3x + 1

The equation of the line can be written as y = -x - (7/12).

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is y-intercept.

Given that the line passes through  (5/12, −1) and (−3/4, 1/6). Therefore, the slope of the line can be written as,

Slope of the line = [(1/6) - (-1)] / [(-3/4) - (5/12)]

                            =  [(1/6) + 1] / [(-3/4) - (5/12)]

                            = (7/6) / [(-9-5)/12]

                            = (7/6) / (-14/12)

                            = -1

Now, the equation can be rewritten with slope and a point as,

y = mx + c

(1/6) = -1(-3/4) + C

(1/6) = (3/4) + C

C = (1/6) - (3/4)

C = (2/12) - (9/12)

C = (-7/12)

Therefore, the equation of the line can be written as,

y = mx + c

y = (-1)x + (-7/12)

y = -x - (7/12)

Hence, the equation of the line can be written as y = -x - (7/12).

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Answer:

1728

Step-by-step explanation:

Just multiply 108 by 16.

Answer:

384 ounces

Step-by-step explanation:

If it takes 4 1/2 pounds of grapes to make 1 pound of Rasins, then we need to figure out how many pounds of Rasins we can make with 108 pounds of grapes.

(Or you can do 108 divided by 4 1/2)

4 1/2 x 10 = 45

4 1/2 x 4 = 18

45 + 45 + 18 = 108

10 + 10 + 4 = 24

(Looking at the work you did above, we can take 54, and multiply that by 2 to get 108, therefore, we can just multiply 12 by two to get 24)

Now we need to convert the pounds to ounces.

If one pound is equal to 16 ounces, then we can use the equation,

24 x 16 = 384

108 pounds of grapes yields 384 ounces.

Answer:

0.6

Step-by-step explanation:

3/5 is equal to 0.6

Answer:

3/5 could be equal to many things. I will just give a list of all the possibilities:

3/5 = 3/5

3/5 = [tex]\frac{3}{5}[/tex]

3/5 = 3:5

3/5 = 0.6

3/5 = 60%

Step-by-step explanation:

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 5 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

x(7y)x(7y)

Step-by-step explanation:

The given expression: 7(xy)7(xy)

i.e. a product of 7 and xy.

The operation used here: Multiplication.

Commutative property of multiplication :-

a\times b=b\times aa×b=b×a for any numbers a and b.

Associative property of multiplication :-

a\times(b\times c)=(a\times b\times c)a×(b×c)=(a×b×c) for any numbers a , band c.

Now, 7(xy)=(7x)y7(xy)=(7x)y [Associative property of multiplication]

=(x7)y=(x7)y [Commutative property of multiplication]

=x(7y)=x(7y) [Associative property of multiplication]

The correct option is C. The statement is true because there are 50 possible IQ scores.

For the given question-

The frequency for the total students are given on the graph.

The highest frequency is for 30 people.

The difference in the IQ score are ; 130 - 70 = 50

Thus, the statement that graph is based on a sample of approximately 50 people the is true because there are 50 possible IQ scores.

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Answer: y=7x-5

Step-by-step explanation: Use the points to find the equation of y-(y1) = m (x- and x1)

The slope is 7.  and x1 and y1 is (2,9)

Here is y-9=7 is (x-2). Then y-9=7 is (x-2)]

Multiply 7x-2, then you get y-9=7x-14 then now we got y=7x-5! :)

Answer:

850

Step-by-step explanation:

Mackenzie has 3200 more red marbles than yellow,

(y + 3200 = r)

And she also has 3840 more blue marbles than the yellow marbles,

(y + 3840 = b)

Then let's assume that Mackenzie has 1 yellow marble.

1 + 3200 = 3201 red marbles

1 +3840 = 3841 blue marbles

If she gives away 1490 blue marbles away, then she is left with 2351 blue marbles.

(3841 - 1490 = 2351)

Now she's left with 2351 blue marbles, and 3201 red marbles.

r - b =?

3201 - 2351 = 850

Mackenzie has 850 more red marbles than blue marbles.

(If you want, you can change the number of yellow marbles, but it will be the same answer.)

Answers:

=====================================================

Explanation:

A conditional statement is of the form "if..., then..."

For example, "If it rains, then the grass gets wet" is a conditional statement.

We can have a basic template of "If P, then Q" to represent any conditional. The P and Q are placeholders for logical statements.

The converse of that conditional is "If Q, then P". We swap P and Q.

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

So let's say we had this original conditional:

The converse would be:

Similar ideas apply for the other converses as well.

Answer:

If alternate interior angles are congruent, then lines are parallel.

If alternate exterior angles are congruent, then lines are parallel.

If corresponding angles are congruent, then lines are parallel.

If consecutive interior angles are supplementary, then lines are parallel.

If consecutive interior angles are supplementary, then lines are parallel.

Step-by-step explanation:

Converse

The converse of a statement is formed by switching the hypothesis and the conclusion.

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

Given statement:  If lines are parallel, then alternate interior angles are congruent.

Converse statement:  If alternate interior angles are congruent, then lines are parallel.

Given statement:  If lines are parallel, then alternate exterior angles are congruent.

Converse statement:  If alternate exterior angles are congruent, then lines are parallel.

Given statement:  If lines are parallel, then corresponding angles are congruent.

Converse statement:  If corresponding angles are congruent, then lines are parallel.

Given statement:  If lines are parallel, then consecutive interior angles are supplementary.

Converse statement:  If consecutive interior angles are supplementary, then lines are parallel.

Given statement:  If lines are parallel, then consecutive exterior angles are supplementary.

Converse statement:  If consecutive exterior angles are supplementary, then lines are parallel.

Probability of landing on red 0.9%, when Yolanda spun the dial 1000 times.

What is probability?

The probability of an event can be calculated using the probability formula by simply dividing the favorable number of possibilities by the total number of outcomes. The likelihood of an event occurring can be anywhere between 0 and 1, as the favorable number of outcomes can never exceed the total number of outcomes.

A spinner with 10 equally sized slices has 4 yellow slices, 4 red slices, and 2 blue slices.

Yolanda spun the dial 1000 times.

P( getting red)  = 19/1000

From the chart, there are 19  red out of 1000

Experimental probability of landing on red

= Number of red outcomes / Total number of spins

= 9/1000

Experimental probability of landing on red 0.009.

Hence, Probability of landing on red 0.9%

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Answer:

The probability of rolling a number less than 5 is 3/6 or 0.5.

Step-by-step explanation:

Step 1: List all the possible outcomes of rolling the die.

The set of equally likely outcomes is {1,2,3,4,5,6)

Step 2: Count the number of outcomes that fulfill the criteria.

Three outcomes fulfill the criteria (1,2,3)

Step 3: Calculate the probability by dividing the number of outcomes that fulfill the criteria by the total number of outcomes.

The probability of rolling a number less than 5 is 3/6 or 0.5

Answer: 0=9

Step-by-step explanation:

You planted the tomato seeds on the 10th of May

The complete question is added at the end of this solution

From the question, we have the following parameters that can be used in our computation:

Number of days to ripe = 80 days

Date the tomato seed is eaten = July 29

The above parameters can be represented using the following subtraction equation:

The date you planted the seeds = Date the tomato seed is eaten - Number of days to ripe

Substitute the known values in the above equation, so, we have the following representation

The date you planted the seeds = July 29 - 80 days

Evaluate the difference

So, we have the following representation

The date you planted the seeds = May 10

Hence, the date you planted the seeds is May 10

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Complete question

It takes a tomato seed an average of 80 days to ripe. If you eat ripe tomatoes on July 29. When did you plant the tomato seeds?