triangle IJK is congruent to triangle PQR. If the measure of angle I=3x+4 and the measure of angle P=72-x, then determine the value of x

Answer: y = 4x - 16

Ta Da lol ...

Answer:

Step-by-step explanation:I would say 56 or 63. My reason is because when it says pick their favorite day of the week. It is 7 days a week so that gives me right there that I have to multiply. Then there is an option of "other" so I would probably multiply it by 8 to get the number of people who participated. Hope this helps☺  

Please give Brainliest!  

Answer:

She should leave a total of $78.

Step-by-step explanation:

To find this, we first need to find the tip amount. We can do this by multiplying the total by the tip percentage.

$65 * 20% = $13

Now that we have that, we need to add it to the cost.

$65 + $13 = $78

Answer:

A

Step-by-step explanation:

given [tex]\frac{P}{6}[/tex] = [tex]\frac{7}{8}[/tex]

using the method of cross- multiplication then

8P = 42 ( divide both sides by 8 )

P = [tex]\frac{42}{8}[/tex] = 5.25

Answer:

140cm3

Step-by-step explanation:

v=lwh=7*5*4=140cm3

Answer:

140cm3

Step-by-step explanation:

v=lwh=7·5·4=140cm^3

Answer:

The correct answer option is dependent.

Step-by-step explanation:

We are given the following two equations and we are to determine whether these are independent, dependent or inconsistent:

[tex]y = 3x + 6[/tex] --- (1)

[tex]6x - 2y = -12[/tex] --- (2)

To compare these equations with each other, it is a good idea to write them in the same format with y being the subject. So rearranging equation (2) to get:

6x - 2y = -12

6x + 12 = 2y

2y = 6x + 12

y = 3x + 6

A system of equations is said to be dependent when the same line is written in two different forms so that there are infinite solutions.

Hence, this system of equations is dependent having infinite solutions.

The system of equations are classified as independent

To classify the system of equations as independent, dependent, or inconsistent, we can analyze their coefficients.

The given system of equations is:

y = 3x + 6

6x - 2y = -12

Comparing the coefficients, we can see that the slopes of the equations are equal (-2/-6 )

Reduce the fraction to smaller forms, we get;

1/3

Now, since the slopes are different, the system is consistent and has a unique solution, indicating an independent system.

Thus, the equations are independent.

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Answer:

que ??????????????????????

Step-by-step explanation:

Answer:

[tex]\frac{8}{100}[/tex]

Step-by-step explanation:

Given :Number = 24.387

To Find : What is the value of the 8 in the number 24.387?

Solution:  

The first digit after the decimal point is called the tenths place value = [tex]\frac{1}{10}[/tex]

The second digit after the decimal point is called hundredths place value= [tex]\frac{1}{100}[/tex]

The third digit after the decimal point is called thousandths place= [tex]\frac{1}{1000}[/tex]

Number = 24.387

Since 8 is The second digit after the decimal point

So, The place value of 8 is hundredths

So, the value of 8 in fraction = [tex]\frac{8}{100}[/tex]

Hence The value of the 8 in the number 24.387 is  [tex]\frac{8}{100}[/tex]

The value of the 8 in the number 24.387 as a simplified fraction is 4/5.

The 8 in the number 24.387 is in the tenths place, so it represents 8 out of 10.

We can write this as a fraction as follows:

8 / 10

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2.

The greatest common divisor of 8 and 10 is 2. Dividing both the numerator and denominator by 2, we get:

(8 / 2) / (10 / 2) = 4 / 5

Therefore, the value of the 8 in the number 24.387 as a simplified fraction is 4/5.

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Answer:

25% increase

Step-by-step explanation:

Answer:The answer is 300 percent.

Step-by-step explanation:

If you add 300 to the answer it equals 1000 so the answer is 300

Answer:

pi/4 + kpi (choice #1)

Step-by-step explanation:

Answer:[tex]x=\frac{\pi}{4}[/tex]

Step-by-step explanation:

`Writing tan and cos in form of sin

[tex]\frac{sinx}{cosx}-\left ( 1-2sin^2x\right )=2sinxcosx[/tex]

[tex]\frac{sinx}{cosx}-1+2sin^2x=2sinxcosx[/tex]

[tex]\frac{sinx-cosx}{cosx}=2sinx\left ( cosx-sinx\right )[/tex]

[tex]2sinx\left ( cosx-sinx\right )-\frac{sinx-cosx}{cosx}=0[/tex]

[tex]\left ( cosx-sinx\right )\left [ 2sinx+\frac{1}{cosx}\right ]=0[/tex]

[tex]\left ( cosx-sinx\right )\left [ \frac{2sinxcosx+1}{cosx}\right ]=0[/tex]

so cosx-sinx=0 or 2sinxcosx+1=0 and cosx is not equals to zero

cosx-sinx=0

tanx=1,[tex]x=\frac{\pi}{4}[/tex]

similarly

[tex]x=n\pi +\frac{\pi}{4}[/tex]

For 2sinxcosx+1=0

sin2x=-1

[tex]2x=\frac{3\pi}{2}[/tex]

but this value is not satisfied by equation thus

[tex]x=n\pi +\frac{\pi}{4}[/tex]

Answer:

4/5

Step-by-step explanation:

To find the slope of a line that passes through 2 points we use the equation

m = (y2-y1)/(x2-x1)

 = (-5--1)/(-2-3)

 = (-5+1)/(-2-3)

 = -4/-5

=4/5

Answer:

4/5

Step-by-step explanation:

Question

what is 5/6÷2?

Answer:

Step-by-step explanation:

5/6 : 2 =

0.83 : 2 =

0.41

Or

5/6 : 2 =

5/6 * 1/2 =

5/12

Answer:

D

Step-by-step explanation:

solving the inequality

Inequalities of the type | x | < a always have a solution of the form

- a < x < a

For | 2x - 6 | < 4  then solution is

- 4 < 2x - 6 < 4 ( add 6 to all 3  intervals )

2 < 2x < 10 ( divide all 3 intervals by 2 )

1 < x < 5 → graph D

The open circles at the ends of the blue line indicate up to but not including these points.

[tex]|2x-6| < 4\iff2x-6<4\ \wedge\ 2x-6>-4\qquad\text{add 6 to both sides}\\\\2x<10\ \wedge\ 2x>2\qquad\text{divide both sides by 2}\\\\\boxed{x<5\ \wedge\ x>1}\to1< x<5[/tex]

≤, ≥ - full circle

<, > - open circle

Answer:

Step-by-step explanation:

Given that a box has cards numbered 1 ,2,3

Also a bag has three balls labelled A, B and C

Sample space = {(1,A)(1,B)(1,C) (2,A)(2,B)(2,C)}  n(S) = 9

Mary will randomly pick up a card from the 3 cards and also pick up a ball from the bag of 3 balls.

The sample space contains the combination of letter on the card and number on the ball.

Event that the number chosen is 1 is

{(1,A)(1,B)(1,C)}:  n(event of choosing 1)=3

Answer:

Total number of ice cream cones sold =  15x +7

Step-by-step explanation:

Given the statement: Suppose 8x + 16 ice cream cones were sold on Saturday and 7x - 9 were sold on Sunday.

⇒ Ice cream cones were sold on Saturday = 8x+16

and

Ice cream cones were sold on Sunday = 7x -9

We have to find the total number of ice cream cones sold.

Total number of ice cream sold = Ice cream cones sold on Saturday + Ice cream sold on Sunday

Substitute the given values we get;

Total number of ice cream sold = [tex]8x + 16 + 7x -9 = 15x + 7[/tex]

Therefore, the total number of ice cream cones sold is, 15x +7

In the metric system, 1 kilogram is equivalent to 1000 grams. By dividing 13,530 grams by 1000, we get 13.53, meaning 13,530 grams is equivalent to 13.53 kilograms.

The question is asking about converting grams (g) into kilograms (kg). In the metric system, 1 kilogram is equal to 1000 grams. So, to convert 13,530 grams into kilograms, you need to divide 13,530 by 1,000.

Therefore:

13,530 grams (g) = 13.53 kilograms (kg)

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We can multiply 336 by 2/3 to find out.

2/3(336)

To make this easier, we can change 336 to 336/1, which does not change it's value.

Multiply 336 by 2.

336 * 2 = 672

Multiply 1 by 3.

1 * 3 = 3

Our new value is 672/3

Evaluate, divide both sides of the fraction by 3.

672/3 = 224.

3/3 = 1

224/1

224/1 = 224

Answer:

(x - 5i)(x + 5i)

Step-by-step explanation:

Find the roots by solving x² + 25 = 0

hence x² = - 25 ( take the square root of both sides )

x = ± 5i

x² + 25 = (x - 5i)(x + 5i)

Hi there! :)

Answer:

y=-1/2x-2

Step-by-step explanation:

Slope-intercept form: y=mx+b

m: represents the slope.

b: represents the y-intercept.

Final answer is y=-1/2x-2

Hope this helps!

Have a nice day! :)

:D

-Charlie

The equation of the line for the given case is obtained as y = -1/2x - 2.

A straight line can be written in the slope-intercept form as, y = mx + c.

In order to obtain the slope, the ratio of the difference of the coordinates are taken and c is the y-intercept which can be found by substituting x = 0 in the equation.

The slope and y-intercept are given as -1/2 and -2 respectively.

The general form of the slope-intercept equation is y = mx + c.

Substitute m = -1/2 and c = -2 in the above equation to get,

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

⇒ y = -1/2x - 2

Hence, the equation of line is given as y = -1/2x - 2.

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Answer:

48,000. Look at the tens place, If the number is 5 or higher then you round up, if its 4 or lower the hundreds place stays the same. Since the number in the tens place is higher than 4 you round up, meaning you would add 1 to 9 which give you ten. You would carry that ten over, giving you 48,000

The correct answer is 48,000.

To round the number 47,963 to the nearest hundreds:

Identify the digit in the tens place, which is 6.

Since the digit in the tens place is greater than or equal to 5, round up the hundreds place.

The current digit in the hundreds place is 9.

Rounding up the hundreds place from 9 results in increasing it to the next number, which is 10.

When the hundreds place increases to 10, it affects the thousands place as well:

The 7 in the thousands place becomes 8, because adding 1 to 9 in hundreds place essentially adds 1,000 to the overall number.

Set all digits to the right of the hundreds place to zero.

Thus, 47,963 rounded to the nearest hundreds becomes 48,000.

This process ensures accurate rounding based on standard rounding rules.

Answer:

Exact Form d=3/2 or -4

Decimal Form d=1.5 Mixed (Number)(Form):1 1/2 or -4

Hoped I helped <3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

MB is a perpendicular bisector to JK, thus triangle is equilateral/ isosceles, hence

MJ = MK

9x - 18 = 3x ( subtract 3x from both sides

6x - 18 = 0 ( add 18 to both sides )

6x = 18 ( divide both sides by 6 )

x = 3 → A

Hey there!

If you're trying to [tex]translate[/tex] this particular equation, you could say...

Good luck on your assignment and enjoy your day!

~[tex]LoveYourselfFirst:)[/tex]

width = perimeter/2 - length

w = 74/2 - 5 = 32

32/4 = 8 - 3 = 5

The length of the rectangle is 5.

The width of the triangle is 32

As per the given values, the length of the rectangle is 29 meters and the width is 8 meters.

To find the length and width of the rectangle, we can use the information given: the length is 3 meters less than four times the width, and the perimeter is 74 meters. Let's assume the width is 'w' meters. So, the length would be '4w - 3' meters. The perimeter of a rectangle is found by adding the lengths of all its sides, which in this case is twice the length plus twice the width.

We can set up an equation to solve for 'w': 2(4w - 3) + 2w = 74. Solving this equation will give us the width of the rectangle, and we can substitute that value back to find the length.

Step 1: Set up the equation:

2(4w - 3) + 2w

= 74.

Step 2: Simplify the equation:

8w - 6 + 2w

= 74.

Step 3: Simplify further:

10w - 6 = 74.

Add 6 to both sides.

Step 4: Continue to simplify:

10w = 80.

Divide both sides by 10.

Step 5: Solve for 'w':

w = 8.

The width of the rectangle is 8 meters.

Step 6: Find the length

= 4w - 3

= 4(8) - 3 = 32 - 3

= 29 meters.

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Answer:

1,000,000 / 1.03 = 970,873.79 After 1st Year

970,873.79 / 1.03 = 942,595.91 After 2nd Year

Step-by-step explanation:

Answer:

Two thirds rounded would be 66.67%. I’m uncertain whether you were asking about a straight line depreciation or some sort of degressive depreciation.

Basically, in a straight-line depreciation, you would calculate each depreciation as a fraction of your asset’s original value. A machine worth $1000 in year 0 would depreciate annually with a constant amount of $100.

Your machine would be worth less than 66.67% of its original value after at least 4 years (4 x 10%). More precisely, 3 years and (33.3% x 365 days) 122 days.

Applying a degressive depreciation method, you would calculate the depreciation in each year as a fraction of your asset’s residual value. This implies your depreciations would decrease each year (hence “degressive”). As soon as your depreciations fall below the amount you would depreciate in a straight line depreciation, you switch to the latter. The reason for this is that it does not really make sense for a company to depreciate it’s assets with a lesser amount, given the tax benefits of depreciations and the time value of money.

Assuming the duration of the asset’s useful life is 10 years, you would switch to the straight-line depreciations after the first year. This scenario would be equal to the straight-line depreciation: 3 years and 122 days.

In case the duration of the asset’s useful life is shorter or longer than 10 years, the amount of time required for the asset to have less than two-thirds of its initial value depends on the duration of is life.

so basically the answer is

1,000,000 / 1.03 = 970,873.79 After 1st Year

970,873.79 / 1.03 = 942,595.91 After 2nd Year

Answer:

Option C is correct.

[tex]7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18[/tex]

Step-by-step explanation:

Given the expression:  [tex]\sum_{i=1}^{18} (7i^2+9)[/tex]

Using properties of summation:

Using properties of summation in the given expression we have;

[tex]\sum_{i=1}^{18} (7i^2+9)[/tex]

= [tex]\sum_{i=1}^{18} 7i^2 + \sum_{i=1}^{18} 9[/tex]

=[tex]7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18[/tex]

Therefore, the following given expression uses the properties of summation to represents is, [tex]7 \cdot \sum_{i=1}^{18} i^2 + 9 \cdot 18[/tex]

Answer: D) No, because for some x's there are more than one y's.

Step-by-step explanation:

By the definition of function,

In a function For the every input there is a single value of output.

That is, if F is a function such that [tex]F(x_1) \neq F(x_2)[/tex]

Then, [tex]x_1[/tex] and [tex]x_2[/tex] must be distinct.

But according to the given table,

For the value of 8 there are two outputs values 7 and 9.

Therefore, we can say that  the given ordered pairs (x, y) can not make the function because there are more than on y's for one value of x's.

Answer:

D

Step-by-step explanation:

The definition of a function states that for every x there is only one y. If you look at the data table for an x- value of 8 there are 2 different y-values 7 and 9. Therefore the correct answer is No, because for some x's there are more than one y's.

Answer:

A = $6567.29

Step-by-step explanation:

A = P(1+r)^t

Where A = amount in account

P = principal

r = interest rate in decimal form

t= time

We know that P =5500

r = .03

t =6

Substitute these values into the equation.

A = 5500(1+.03)^6

A = 5500(1.03)^6

A = 5500(1.194052297)

A=6567.287631

Since this is money we round to the nearest cent

A = $6567.29

Answer:

a=5000(1+0.055)^15

Step-by-step explanation:

p= amount in present

r=interest

t= period of time

Answer: [tex]a=5000(1+0.055)^{15}[/tex]

Step-by-step explanation:

Given : George’s parents put $5,000 into an interest bearing account with a compound interest rate of 5.5%.

i.e. Principal amount : [tex]p=\$5,000[/tex]

Rate of interest : r=5.5%=0.055

George’s parents want to determine what the balance of his college fund account will be after 15 years. i.e. t= 15

Substitute all the values of p , r at t in the given formula [tex]a=p(1+r)^t[/tex], we get

[tex]a=5000(1+0.055)^{15}[/tex]

Hence, the correct substitution for the formula = [tex]a=5000(1+0.055)^{15}[/tex]

John's height from feet to inches is a total of 69 inches.

The question asks how tall John is in inches if he is 5 3/4 feet tall.

To convert feet to inches, you use the fact that one foot equals 12 inches. You need to multiply the whole number of feet by 12 and then add the inches that result from the fractional part.

Step 1: Convert the whole number of feet to inches. John is 5 feet tall, and each foot is 12 inches:

5 feet x 12 inches/foot

= 60 inches

Step 2: Convert 3/4 of a foot to inches. Since there are 12 inches in one foot, you calculate 3/4 of 12:

3/4 x 12 inches

= 9 inches

Step 3: Add the number of inches from the whole feet and the fractional foot together to get John's height in inches:

60 inches + 9 inches = 69 inches

John is 69 inches tall.