Describe and correct the error in using the diagram to find the value of x.

Answer:

AC = 23

BD = 23

Step-by-step explanation:

ABCD is a rectangle,

AC and BD are its diagonals.

Diagonals of a rectangle are congruent.

Therefore,

AC = BD

7x - 40 = 2x + 5

7x - 2x = 5 + 40

5x = 45

x = 45/5

x = 9

BD = 2x + 5 = 2*9 + 5 = 18 + 5 = 23

AC = 7x - 40 = 7*9 - 40 = 63 - 40 = 23

Answer:

IJ is 5.8 ft

Step-by-step explanation:

Here, we want to calculate the length of IJ

to Find IJ, we need the appropriate trigonometric ratio

The trigonometric ratio to use in this case is the one that connects the opposite and the adjacent

from the question, IJ is the opposite

This is the side facing the given angle

HI is the hypotenuse which is the side facing the right-angle

HJ is the third side which is the adjacent

Mathematically;

That is the Tan

Tan 71 = IJ/2

IJ = 2 Tan 71

IJ = 5.8

Answer:

Society helps determine how its resources are deployed to fund scientific work, encouraging some sorts of research and discouraging others. Similarly, scientists are directly influenced by the interests and needs of society and often direct their research towards topics that will serve society.

The smallest value of the other number will be 3 ×5× 11 =165

In the given statement is :

When the least common multiple of two positive integers is divided by their greatest common divisor, the result is 33. If one integer is 45.

To find what is the smallest possible value of the other integer

Now, According to the question

One of the numbers 3 ×3× 5 = 45

The lowest common multiple has to be a multiple of 45 i.e.,

3 ×3× 5 something when LCM is divided by the greatest common divisor

then the answer is 33 = 3 x 11 .

So the other number will have to be a multiple of 11

3 ×3× 5× 11 × ?/ some factor of 4 = 33

(3 ×5) ×3× 11 × 1 /3 × 5 = 33

So if the greatest common divisor is 3× 5 the given number is 3 ×3× 5

Hence, The smallest value of the other number will be 3 ×5× 11 =165  

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Answer:

1 1/9

Step-by-step explanation:

Answer:

7th week

Step-by-step explanation:

Let us represent the number of weeks as x

Jill begins the summer with $500 in her savings account. Each week, she withdraws $20.

$500 - $20× x

500 - 20x

Her brother, Sam,starts the summer with $150 in his account. He adds $30 to his account each week.

$150 + $30 × x

150 + 30x

At what week will both Jill and Sam have the same amount in their account?

We solve this be Equating both Equations together

Jill = Sam

500 - 20x = 150 + 30x

Collect like terms

500 - 150 = 30x + 20x

350 = 50x

Divide both sides by 50

50x/50 = 350/50

x = 7 weeks

Therefore, at the 7 week, Jill and sam would have the same amount in their accounts

Answer:

x=5

Step-by-step explanation:

Ok so put them equal to each other

2x+12=3x+7

subtract 12 from both sides

2x=3x-5

subtract 3x from both sides

-x=-5

divide both sides by -1

x=5

Have a wonderful day/night

Brainliest please.

Answer:

138

Step-by-step explanation:

just plug in the numbers:

4*6^2 - 36/6

use pemdas

4*36 - 6 = 144-6 = 138

Answer: The answer is 138.

Step-by-step explanation: First, find 6 squared. That is 36. Multiply that by 4 to get 144. After that, find 36 divided by 6. That is 6. Finally, subtract 144 and 6.

Answer:

y=18.5x

Step-by-step explanation:

get 55.5/3=18.5

y=18.5x

habusbgsbiqnwksisnhsvqjuq

Answer:

16.5 should be correct because OS is half the length.

Answer:

19.20

Step-by-step explanation:

.6 is 6%. X 32

Answer:

I think about 4.84 cent

Answer:

3.5 maybe?

Step-by-step explanation:

have a nice morning or night

Answer: D

Step-by-step explanation:

The sum of the squares of the legs is equal to the square of the hypotenuse .

Answer:

2.40G + 1.20C ≤15

Step-by-step explanation:

The inequality function is

Given that

The cost of goat milk for each liter is $2.40 = G

And, the cost of the cow milk for each liter is $1.20 = C

Now the equation would be

2.40g + 1.20c

Now this must be lower or equal than $15

So, the inequality function would be

2.40G + 1.20C ≤15

hence, the inequality function is 2.40G + 1.20C ≤15

Answer:

2.4G + 1.2C < or = to 15

Step-by-step explanation:

We are given that each liter of goat milk costs $2.40$2.40dollar sign, 2, point, 40, and each liter of cow's milk costs $1.20$1.20dollar sign, 1, point, 20.How can we express the total cost of liters of goat milk and cow's milk that Wang Hao can buy?Hint #22 / 3The cost of GGG liters of goat milk is 2.4G2.4G2, point, 4, G, and the cost of CCC liters of cow's milk is 1.2C1.2C1, point, 2, C. Therefore, the total cost of liters of goat milk and cow's milk that Wang Hao can buy is 2.4G+1.2C2.4G+1.2C2, point, 4, G, plus, 1, point, 2, C.We are also given that Wang Hao wants to spend at most $15$15dollar sign, 15 on dairy products. This means that it is possible for Wang Hao to spend $15$15dollar sign, 15 or any amount less than this. Let's use this condition to create the appropriate inequality.Hint #33 / 3The following inequality represents the number of liters of goat milk and cow's milk Wang Hao can buy on his budget: 2.4G+1.2C≤152.4G+1.2C≤15

The frequency distribution of the commute time in minutes is:

Commute time   Frequency

1 - 15                        10

16 - 30                      18

31 - 45                        11

46 - 60                        5

61 - 75                        0

76 - 90                        1

The distribution of the commute time in minutes is given as

Commute time​ (minutes) frequency

60 15 35 30 15 45 10 15 15 30 30 30 45 30 20 20 15 45 60 15 30 30 60 30 45 30 12 45 20 10 45 45 35 60 20 20 30 4 80 45 30 60 45 25 30

From the question, we have:

Frequency = 45

Minimum lower class limit = 1

Class width = 15 minutes

This means that the class intervals are

1 - 15, 16 - 30, 31 - 45, 46 - 50.......

When the distribution of the commute time in minutes is sorted into the class intervals, we have:

1 - 15: 15 15 10 15 15 15 15 12 10 4

16 - 30: 30 30 30 30 30 20 20 30 30 30 30 20 20 20 30 30 25 30

31 - 45: 45 35 45 45 45 45 45 45 45 35  45

46 - 60: 60 60 60 60 60

61 - 75:

76 - 90: 80

Determine the frequencies

1 - 15:    10

16 - 30: 18

31 - 45: 11

46 - 60: 5

61 - 75: 0

76 - 90: 1

Hence, the frequency distribution of the commute time in minutes is:

Commute time   Frequency

1 - 15                        10

16 - 30                      18

31 - 45                        11

46 - 60                        5

61 - 75                        0

76 - 90                        1

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Answer:

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

The horizontal line has same y- coordinate for each x- coordinate, and is parallel to the x-axis so it is:

The vertical line has same x- coordinate for each y- coordinate, and is parallel to the y-axis so it is:

Refer to graphs.

Answer:

10x + 39 - y

Step-by-step explanation:

Answer:

10x - y +39

Step-by-step explanation:

Answer:

The system of equations best represents the situation

x + y = 17,000.... Equation 1

0.025x + 0.065y = 550... Equation 2

Step-by-step explanation:

Let

x represent the amount of money invested in the first account and

y represent the amount of money invested in the second account.

We are told that:

Tyrone had $17,000 to invest.

Hence,

x + y = $17,000

x + y = 17,000..... Equation 1

We also known that:

He invested part of that amount at 2.5% annual interest for one year and the other part at 6.5% annual interest for one year. The amount of interest earned for both investments was $550

The formula for Interest =

Principal(Amount invested) × Rate × Time.

Hence:

25% × x + 6.5% × y = 550

0.025x + 0.065y = 550... Equation 2

The system of equations best represents the situation

x + y = 17,000.... Equation 1

0.025x + 0.065y = 550... Equation 2

Answer:

56×4=x

so x=224

Step-by-step explanation:

if i am  wrong sorry didnt fully understand what you wanted

Answer:

39

Step-by-step explanation:

because the decimal is moved 39 times as shown by calculating the sum

Answer:

Your answer is 39

Hope this helps

Answer:

4/5 i dont get the question but this is what 8/10 is equal to

Step-by-step explanation:

Answer:

slope: -8

Explanation:

[tex]\sf slope\:intercept\:form:y = mx+ b[/tex]

where:

Here equation:

⇒ y - 14 = -8(x + 2)

rewrite:

⇒ y = -8x - 16 + 14

simplify

⇒ y = -8x - 2

Here, the slope is -8 and y-intercept is -2.

Answer:

18/7

Step-by-step explanation:

x=reciprocal of 7/18

7/18 * x = 1 ==> the product of the reciprocal of a number and the number itself is one since the product of the numerator and the product of the denominator would be the same.

7x/18=1

7x/18 * 18=1*18

7x=18

7x/7=18/7

x=18/7

Answer: 4 hours

Step-by-step explanation:

38- 18 = 20

20 / 5 = 4

Answer:

4 hours

Step-by-step explanation:

If he paid a total of $38 then you first would subtract the $18. You are left with 20. Divide that by the $5 then you get 4

Answer:

gmj5

Step-by-step explanation:

t5y6

Answer:

42

Step-by-step explanation:

f(x)= -x2-5x+36

f(-3)= -(-3)2-5(-3)+36

    = -(9)-5(-3)+36

     = -9+15+36

     =6+36

     =42

Answer:

Step-by-step explanation:

Given the angle ∠AOB

It is stated that CO is the angle bisector of ∠AOB.

Given that ∠AOB = 30°

As we know that the angle bisector bisects the angle into two equal angles.

Thus, the angle bisector CO bisects the angle ∠AOB into two equal angles, which are:

as

∠AOB = 30°

Thus, the two formed angles i.e m∠AOC and m∠BOC by the angle bisector would be half of the angle bisector as the angle bisector bisects the angle ∠AOB into two equal angles.

Therefore,