Which statement has a false converse?

A If a quadrilateral is a rectangle, then the diagonals of the quadrilateral are

congruent.

B If a quadrilateral has diagonals that bisect each other, then the quadrilateral is a

parallelogram

C if a quadrilateral is a rectangle, then all angles of the quadrilateral are right angles.

D If a quadrilateral is a parallelogram, then both pairs of opposite sides of the

quadrilateral are congruent.

Answer:

4x - 8

Step-by-step explanation:

k - H(x)

(9x -2) - (5x + 6)

4x -8

Answer: n=13 so

df = n-2 = 13-2 = 11

Hence CV = + or - 0.555

also r = -0.817 then t statistics is given by

Here r value does not lie between -0.555 and 0.555

So, we can conclude that r is significant because it is not between the positive and negative critical values.

Hence, option c is correct

Step-by-step explanation:

Answer:

12 weeks

Step-by-step explanation:

It will take Jackie 12 weeks to buy her car because she earns 172 per week.

If you divide 2000 buy 172 you end up with 11.6

if you multiply 11 and 172 you get 1,892 which is just a little under 2000

if you add another week = 172$ you will arrive at 2064 which is enough to buy  

her car.

Hope this helps.

Answer:

I think it is 3600

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x + 1) = 3x - 7

f(x) = f(x + 1 - 1) = 3(x - 1) + 7 = 3x - 3 + 7 = 3x + 4

Check

f(x) = 3x + 4

f(x + 1) = 3(x + 1) + 4 = 3x + 3 + 4 = 3x + 7 CORRECT

F(5)= 3.(5)+2=15+2=17

Another example: F(0)=3.(0)+2=0+2=2

You just replace the value in the two sides.

the solutions for a are:

a = n×π, π/4, or 7π/4, where n is any integer.

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

tan²(a) - csc²(a) + 1 = 0

tan²(a) - (1/sin²(a)) + 1 = 0

(tan²(a)sin²(a) - 1 + sin²(a))/sin²(a) = 0

Simplifying the numerator:

(tan²(a) - 1)sin²(a) = 0

Using the identity tan^2(a) = sec²(a) - 1:

(sec²(a) - 2)sin²(a) = 0

Expanding and simplifying:

sec²(a)sin²(a) - 2sin²(a) = 0

sin²(a)(sec^2(a) - 2) = 0

So either sin²(a) = 0 or sec²(a) - 2 = 0.

If sin²(a) = 0, then a is an integer multiple of pi (i.e., a = n×π for some integer n).

If sec²(a) - 2 = 0, then sec²(a) = 2,

cos(a) = ±√(2)/2

So a can be π/4 or 7π/4.

Therefore, the solutions for a are:

a = n×π, π/4, or 7π/4, where n is any integer.

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Answer:

63,630,000 tons not recovered

Step-by-step explanation:

Paper generated = 71,310,000 tons

Paper recovered = 44,570,000 tons

Glass generated = 11,530,000 tons

Glass recovered = 3,130,000 tons

Plastics generated = 31,040,000 tons

Plastics recovered = 2,550,000 tons

Total generated = 113,880,000 tons

Total recovered = 50,250,000 tons

113,880,000 - 50,250,000 = 63,630,000 tons not recovered

The equation of the line is y = (3/2)x - 1/2.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

Let's say you need to know the answer about the equation of a line that passes through points (3, 4) and (5, 7).

Now,

The equation of a line.

y = mx + c

The line passes through points (3, 4) and (5, 7).

m = (7 - 4) / (5 - 3)

m = 3/2

Slope = 3/2 _____(1)

Now,

(3, 4) = (x, y)

4 = 3/2 x 3 + c

4 = 9/2 + c

c = 4 - 9/2

c = (8 - 9) / 2

c = -1/2

y-intercept = -1/2 ____(2)

Now,

y = mx + c

From (1) and (2),

y = (3/2)x - 1/2

Thus,

The equation of the line is y = (3/2)x - 1/2.

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The complete question.

Find the equation of a line that [passes through the point (2, 4), and (5, 7).

Answer:

y = x² + 8x + 16

Step-by-step explanation:

blue square = x × x = x²

green rectangle = 4 × x = 4x

yellow square = 4 × 4 = 16

Let y = total area of the square

⇒ y = blue square + green rectangle + green rectangle + yellow square

       = x² + 4x + 4x + 16

       = x² + 8x + 16

Area:-

Therefore , the solution of the given problem of solution of trigonometry d = 33.977 m is the distance from the balloon's base to its apex..

Trigonometry is a discipline of mathematics that examines relationships between triangles' degrees and sides. Trigonometry is used frequently in geometry because every straight-sided form may be broken down into a group of triangles. Trigonometry and other areas of mathematics, particularly calculus, real or complex, infinite series, logarithms, and infinite series, have a staggering amount of interrelationships.

Here,

Angle of elevation to the balloon's peak: = 28°

When the balloon is erect, a right triangle is formed by the horizontal distance to the balloon, l, the height of the balloon, h, and the distance to the top of the balloon, d.

Aside from the hypotenuse

l = The leg next to the provided reference angle

,h = The leg perpendicular to the specified angle,

Trigonometric ratios give us;

Cosx is equal to the product of the hypotenuse and adjacent lengths.

where we obtain;

Cos x equals l/d

=>Cos 28 = 30 m /d

=> d = 30m/Cos 28 ≈ 33.977

Therefore , the solution of the given problem of solution of trigonometry d = 33.977 m is the distance from the balloon's base to its apex.

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Answer:

Its the last choice.

Step-by-step explanation:

Ax - By = C

Add By to both sides

Ax - By + By = C + By

Ax = By + C

Divide both sides by A:

x = (By + C)/A

Answer:

Step-by-step explanation:

let the points scored by a girl=x

points scored by a boy=y

7x+2y=46

7x-2y=38

add

14x=84

x=84/14=6

7×6+2y=46

2y=46-42=4

y=4/2=2

girl scored =6 points

boy scored=2 points.

Answer:

C: $54.48

Step-by-step explanation:

--> 615.50 + 65.50 = $681.00 or $681

--> 8% of $681 is $54.48

Hope this helped! :D

Answer:

x = 47

Step-by-step explanation:

x + 121 = 4x - 20

-3x + 121 = - 20

-3x = -141

x = 47

So, the answer is x = 47

Answer: 0.94

Step-by-step explanation: This is the same as saying subtract 0.954 from 1.894.

1.894 - 0.954 = 0.94

Answer:

Problematic is that - only one factor should be analysed at a time. However she has considered both.

Step-by-step explanation:

Groups for any experimental study should be selected on the basis of one variable, other factor(s) remaining constant.

In this case, here are two variables - lights on or off, music playing or not playing - effecting relax level during exams.

She selects 10 students for exam with lights off , 10 for exam without music. This is problematic, as at once only lights or only music factor should be considered.

If one group is with light on , other should be with light off. If one group is with music, other should be without music. This mix up of one light off aspect & one music without music is inapt.

Answer:

False

Step-by-step explanation:

Add any 2 side lengths and see if it is greater than the third.

3 + 5 = 8

8 < 9

So it is not a triangle.

Answer:

The slope is 2. As x increase y is increase and as x decrease y decrease

Answer: x = -2, \(\frac{2 }{3}\)

Step-by-step explanation:

     Given:

0 = –3x² – 4x + 4

    The quadratic formula:

\(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}\)

    Substitute known values:

* a = -3, b = -4, c = 4

\(\displaystyle x=\frac{-(-4)\pm\sqrt{(-4)^2-4(-3)(4)} }{2(-3)}\)

    Simplify with multiplication:

\(\displaystyle x=\frac{4\pm\sqrt{16+48} }{-6}\)

    Simplify:

\(\displaystyle x=\frac{4\pm\sqrt{64} }{-6}\)

\(\displaystyle x=\frac{4+8 }{-6}\),    \(\displaystyle x=\frac{4-8 }{-6}\)

\(\displaystyle x=\frac{12 }{-6}\),    \(\displaystyle x=\frac{-4 }{-6}\)

Answer:

triangle XYZ is similar to triangle RPQ

scale factor = 2/5

Step-by-step explanation:

Angles X and R are given as congruent.

Angles Z and Q are right angles, so they are congruent.

Then, angles Y and P must be congruent.

The similarity statement is

triangle XYZ is similar to triangle RPQ

To find the scale factor, divide the length of a side of the image by the length of the corresponding side in the original.

10/25 = 2/5

The scale factor is 2/5.

The correct statement is: She should calculate the ratio between the number of calories she burned versus the number of miles she ran.

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here: The table containing data calories vs miles run.

You can tell if a table shows a proportional relationship by calculating the ratio of each pair of values. If those ratios are all the same, the table shows a proportional relationship.

Thus calculating the ratio for each pair of entries we get

1) ratio=118/1.2

      =295:3a  or unit rate 98.33 calories per mile

2) 190/2= 95:1 or unit rate 95 calories per mile

3) 226/2.4=565:6 or unit rate94.1

clea,rly the ratios are different.

Hence, The table containing the data doesn't form a proportional relationship.

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6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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Answer:

0.43  or 43/100

Step-by-step explanation:

Step-by-step explanation:

the answer is0.43 ur welcome