find the value of the variable. if your answer is not an interger, leave it in simplest radical form.

Answer:

Yes, one of a rhombus's properties is that the diagonals bisect vertex angles.

The diagonals of a rhombus bisect the vertex angles.

Yes, the diagonals of a rhombus bisect the vertex angles.

To understand this, we can consider that in a rhombus, the diagonals are perpendicular to each other, and when a diagonal bisects an angle, it creates two congruent triangles.

Therefore, the diagonals of a rhombus do indeed bisect the vertex angles.

Answer:

f(g(x)) = x^2 +x

Step-by-step explanation:

To find f(g)(x) , we substitute g(x) in for x in the function f(x)

f(x) = x^2 -x

f(g(x)) = g(x)^2 -g(x)

          = (x+1)^2 - (x+1)

           = (x+1)*(x+1) - (x+1)

FOIL the square

             (x+1) (x+1)

         First x*x = x^2

        outer x*1 = x

        inner 1*x = x

       last  1*1 =1

Add them together

x^2 + x+x+1 = x^2+2x+1

f(g(x)) = (x+1)*(x+1) - (x+1)

           = x^2+2x+1 -(x+1)

Distribute the -1

          = x^2 +2x+1 -x-1

          = x^2 +x

f(g(x)) is basically replacing the x with g(x).

So, f(x)=(g(x))^2 - g(x)

g(x), in turn, equals x+1

Replace g(x) with x+1

(x+1)^2 - (x+1)

Expand: x^2+x+x+1 - x - 1

Cancel out x and 1

f(g(x))=x^2+x

If you require factoring it's

f(g(x))=x(x+1)

Answer:

x < -3

Step-by-step explanation:

First subtract 6 from both sides of the inequality.

[tex]4x+6-6<-6-6[/tex]

[tex]4x<-12[/tex]

Divide 4 on both sides.

[tex]\frac{4x}{4} < \frac{-12}{4}[/tex]

[tex]x<-3[/tex]

Answer:

355 senior citizen tickets were sold.

Step-by-step explanation:

Assuming a to the the ticket of adults and s to be the ticket of senior citizens, we can write two equations as:

[tex]a +s=465[/tex] --- (1)

[tex]23a+13s=7145[/tex] --- (2)

From equation 1, [tex]a=465-s[/tex].

Substitute [tex]a[/tex] in equation 2 to get:

[tex]23 (465-s) + 13s = 7145[/tex]

[tex]10695 - 23s +13s =7145[/tex]

[tex]-10s = -3550[/tex]

[tex]s = 355[/tex]

Therefore, there were 355 senior citizen tickets sold.

Answer:

7/8 ths

Step-by-step explanation:

3 divided by 4 is .75

* 7 divided by 8 is .875

8 divided by 10 is .80

7 divided by 9 is .77

If you divide the fractions you can compare the values and the highest value is your largest fraction.

The fraction with largest value of numerator is largest fraction in the two or more fraction number with same denominator. The fraction 7/9 has the largest fraction.

Given information-

The set of the fraction given in the problem is,

[tex]\dfrac{3}{4}, \dfrac{7}{8}, \dfrac{8}{10}, \dfrac{7}{9}[/tex]

The order of the fraction is arranging the fraction number from the smallest to the largest number.

The fraction with largest value of numerator is largest fraction in the two or more fraction number with same denominator.

To compare the fraction, make the denominator with same.

[tex]\dfrac{3}{4}, \dfrac{7}{8}, \dfrac{8}{10}, \dfrac{7}{9}[/tex]

To make the denominator same find out the least common factor of denominators which are 4,8,10 and 9 which is 360.

Multiply and divide with 360 in the given fractions to bring the 360 in denominator,

[tex]\dfrac{3\times360}{4\times360}, \dfrac{7\times360}{8\times360}, \dfrac{8\times360}{10\times360}, \dfrac{7\times360}{9\times360}[/tex]

[tex]\dfrac{270}{360}, \dfrac{315}{360}, \dfrac{288}{360}, \dfrac{315}{360}[/tex]

As the numerator 315 is the highest among all. Hence the fraction 7/9 has the largest fraction.

Learn more about the largest fraction here;

https://brainly.com/question/14086382

Answer:

The value is  of given expression is -5+6i.

Step-by-step explanation:

The given expression is

[tex](-3+3i)+(-2+3i)[/tex]

It can be written as

[tex]-3+3i-2+3i[/tex]

Now combine like terms.

[tex](-3-2)+(3i+3i)[/tex]

[tex](-3-2)+(3+3)i[/tex]

Simplify each parenthesis.

[tex](-5)+(6i)[/tex]

[tex]-5+6i[/tex]

Therefore the value is  of given expression is -5+6i.

Answer:

area of a triangle is 1/2bh

1/2 X 15 x 9 = 67.5 square feet

Step-by-step explanation:

For this case we must find the area of a flower bed with a triangle shape.

The area of a triangle is given by:

[tex]A = \frac {b * h} {2}[/tex]

Where:

b: It's the base

h: It's the height

Substituting the given values:

[tex]A = \frac {15 * 9} {2}\\A = 67.5\ ft ^ 2[/tex]

Answer:

[tex]A = 67.5\ ft ^ 2[/tex]

Final answer:

To find out how far Sarah can drive on a full tank of gas, the correct proportion is '77/3.6 = x/15'. This compares the known miles driven to gallons used, scaled up to a full tank of 15 gallons, representing the distance with 'x'. So the correct option is d.

Explanation:

The student is working on solving a proportion problem related to fuel consumption and driving distances. To find out how far Sarah can drive her car on a full tank of gas, we need to set up a proportion that compares miles driven to gallons used, and then scale it up to a full tank of gas.

Since Sarah drove 77 miles on 3.6 gallons of gas, we can compare this to a full tank of 15 gallons to find the total distance she can drive, represented by 'x'. The correct proportion is 77 miles to 3.6 gallons as 'x miles' is to 15 gallons.

The correct proportion is d. 77/3.6 = x/15, as it reflects the direct relationship between miles driven and gallons of fuel. When the gallons are increased from 3.6 to 15, we expect the miles that can be driven to increase proportionally.

Answer:

The correct answer for this problem is 200 miles.

Answer:

C and D

Step-by-step explanation:

The Middles were the same length and the side of the alligator are slightly longer.

The correct options are:

C.  Center-- The crocodiles have a greater median length than the alligators.

D.   Spreads--  The lengths of the alligators are more spread out.

Median of the data--

The median is the central tendency of the data and it always exist in the middle of the data.

By looking at the data.

We observe that the Median of the data :

Crocodile lie at : 17

and that of the alligator lie at : 9

Hence, the median for the crocodile is more than for the alligators.

Spread--

The spread in the data means how far the data points are from the center of the data i.e. mean or median.

By looking at the data crocodile we observe that all the data points are close to the median.

whereas in the data alligator one of the data point is far from the median.

Hence, the spread in case of alligator is more as compared to that of crocodiles.

Final answer:

The question compares two breathing rates: 15 breaths every 36 seconds and 90 breaths every 3 minutes. When converted to breaths per minute, the rates are 25 breaths/minute and 30 breaths/minute respectively, indicating that they are not equivalent.

Explanation:

The question asks whether 15 breaths every 36 seconds and 90 breaths every 3 minutes represent an equivalent rate of breathing. To solve this, we need to determine if the two rates are the same when converted to a common time unit.

First, let's convert 36 seconds to minutes: 36 seconds is 0.6 minutes (since 1 minute is 60 seconds). Next, we calculate the breathing rate per minute for the first scenario by dividing the number of breaths by the number of minutes: 15 breaths / 0.6 minutes = 25 breaths/minute.

Now let's look at the second rate of 90 breaths every 3 minutes. This can be simplified by dividing the number of breaths by the number of minutes: 90 breaths / 3 minutes = 30 breaths/minute. Clearly, 25 breaths/minute is not equivalent to 30 breaths/minute. Therefore, 15 breaths every 36 seconds and 90 breaths every 3 minutes are not equivalent rates of breathing.

Answer:

-2 > x

Step-by-step explanation:

-8x-10>7x+20

Add 8x to each side

-8x+8x-10>7x+8x+20

-10 > 15x+20

Subtract 20 from each side

-10 -20 > 15x+20-20

-30 > 15x

Divide by 15

-30/15 > 15x/15

-2 > x

The point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

We have the slope m = 4 and the point (2, 1). Substitute:

[tex]y-1=4(x-2)[/tex]      use distributive property

[tex]y-1=(4)(x)+(4)(-2)[/tex]

[tex]y-1=4x-8[/tex]        add 1 to both sides

[tex]\boxed{y=4x-7}[/tex]

Answer:

[tex]f^{-1}=+-\sqrt{x+1}[/tex]

Step-by-step explanation:

f(x) = x^2 -1

We need to find f^-1(x)

WE find inverse of f(x)

Replace f(x) with y

[tex]y= x^2 -1[/tex]

Replace x  with y  and y with x

[tex]x= y^2 -1[/tex]

Solve for y

add 1 on both sides , [tex]x+1= y^2[/tex]

To remove square , take square root on both sides

[tex]\sqrt{x+1} =\sqrt{y^2}[/tex]

[tex]\sqrt{x+1} =y[/tex]

[tex]y=+-\sqrt{x+1}[/tex]

Replace y with f^-1

[tex]f^{-1}=+-\sqrt{x+1}[/tex]

Answer:

Inverse function is

[tex]f^{-1}(x)=\pm \sqrt{x+1}[/tex]

Step-by-step explanation:

Given that [tex]f(x)=x^2-1[/tex]

Now using that equation of f(x), we need to find equation of the inverse function

[tex]f(x)=x^2-1[/tex]

[tex]f^{-1}(x)[/tex]

Step 1: Replace [tex]f^{-1}(x)[/tex] with y

[tex]y=x^2-1[/tex]

Step 2: Switchx and  y

[tex]x=y^2-1[/tex]

Step 3: Solve for y

[tex]x=y^2-1[/tex]

[tex]x+1=y^2-1+1[/tex]

[tex]x+1=y^2[/tex]

[tex]y^2=x+1[/tex]

take square root of both sides

[tex]y=\pm \sqrt{x+1}[/tex]

Hence inverse function is

[tex]f^{-1}(x)=\pm \sqrt{x+1}[/tex]

Answer:

658.24 m

Step-by-step explanation:

Let A be the point from where Elton started. Connect points A and C, you get triangle ABC with AB=500 m, BC=350 m and m∠B=100°. Use the cosine rule to determine the length of the segment AC:

[tex]AC^2=AB^2+BC^2-2\cdot AB\cdot BC\cdot \cos \angle B,\\ \\AC^2=500^2+350^2-2\cdot 500\cdot 350\cdot \cos 100^{\circ},\\ \\AC^2=250000+122500-350000\cdot (-0.174),\\ \\AC^2\approx 433276.8622,\\ \\ AC\approx 658.24\ m.[/tex]

Answer:

658.24 m

Step-by-step explanation:

The figure makes a triangle with vertices abc.

Where ab = 500 m

           bc = 350 m

The angle abc = 100°

Using the cosine rule we can find the distance ac.

ac² = 500²+350² - 2×500×350×cos100°

      = 372,500 - -60,776.86

      = 433,276.86

ac = √433,276.86

    = 658.24 m

The solution to the system of equations is (12, 30).

Option B is the correct answer.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

To solve the system of equations using the substitution method,

We solve one equation for one of the variables and substitute the expression into the other equation.

Let's solve the first equation for y:

y = 2x + 6

Now, substitute y = 2x + 6 into the second equation and solve for x:

3x - y = 6

3x - (2x + 6) = 6

3x - 2x - 6 = 6

x = 12

Now that we have found x, we can substitute it back into either of the original equations to find y.

Let's use the first equation:

y = 2x + 6

y = 2(12) + 6

y = 30

Therefore,

The solution to the system of equations is (12, 30).

Learn more about solutions of equations here:

https://brainly.com/question/545403

#SPJ3

Answer:

The difference is 145.7

Step-by-step explanation:

89+56.7= 145.7

Answer:

-32.3

Step-by-step explanation:

I got -32.3 because when I subtracted -89 from 56.7 I got -32.3. If you don't know how to subtract integers it's simple, you just subtract 89 from 56.7 then choose the sign that has the greater absolute value. In this case -89 has the greater absolute value, so you take the negative sign.

Answer:18 1/12

Step-by-step explanation:i first added the whole numbers 12 and 5 to get 17; i then addled 1/4 and 5/6; i did this by finding a common denominator of both fractions and converted them into 6/24 and 20/24; i added them to get 26/24 which simplifies to 1 and 2/24, which equals 1 1/12; i added 1 to 17 and got 18, then added 1/12 to get 18 1/12

The sum of 121/4 and 5 5/6 is found by converting the mixed number to an improper fraction, finding a common denominator, adding the fractions, and simplifying if possible. The final answer is 433/12, which is already in its lowest terms.

The question asks for the sum of the numbers 121/4 and 5 5/6 reduced to the lowest terms. To answer this, we must first convert the mixed number to an improper fraction and then add it to the other fraction. Here's how to do it step by step:

Convert 5 5/6 to an improper fraction: 35/6.

Add 121/4 to 35/6. To do this, find a common denominator, which would be 12 in this case.

Convert both fractions to have the common denominator: 121/4 becomes 363/12, and 35/6 becomes 70/12.

Add the two fractions: 363/12 + 70/12 equals 433/12.

Reduce the fraction if possible. In this case, 433/12 is already in its lowest terms.

Therefore, the sum of 121/4 and 5 5/6 reduced to lowest terms is 433/12.

Answer: A & B

Step-by-step explanation:

-7y + 2x ≤ 3

(0, 0):      -7(0) + 2(0) ≤ 3

                  0   +   0  ≤ 3      

                        0      < 3            TRUE

(1, 1):      -7(1) + 2(1) ≤ 3

               -7   +  2   ≤ 3      

                      -5     < 3               TRUE

(-3, 5):      -7(-3) + 2(5) ≤ 3

                   21   +  10   ≤ 3      

                         31        < 3          FALSE                    

Answer:

A parallelogram is a quadrilateral whose opposite sides are parallel.

It's properties include:

- The opposite sides of a parallelogram are parallel.

- A diagonal of a parallelogram divides it into two congruent triangles.

- The opposite sides of a parallelogram are congruent.

- The opposite angles of a parallelogram are congruent.

- The consecutive angles of a parallelogram are supplementary.

- The diagonals of a parallelogram bisect each other.

a quadrilateral whose both pair of opposite side are equal and parallel to each other is called a parallelogram

[tex]AREA OF PARALLELOGRAM => BASE X HEIGHT = BXH [/tex]

any side of parallelogram can be chosen as the base of parallelogram the perpendicular dropped on that side from opposite vertex is known as height attitude

Question

Is this a true proportion ? 3/4,8/12

Answer:

Step-by-step explanation:

3/4 = 8/12

semplify

3/4 = 2/3

or you can solve in this way

3/4 = 8/12

0.75 = 0.66≈

Answer:

the answer is false.

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

2x+y=3

⇒ This equation can be written in the form of y = mx + c where m is the slope, c is the y-intercept and x and y are x and y coordinates respectively of the point where the the line passes.

2x+y=3

y = -2x + 3.

If the line passes through the origin (0,0), then c = 0. This is not the case in our eqation.

Again if the question passes through the origin, by substituting the point (0,0) in the question it would satify it.

2x+y=3  ⇒ 2(0) + 0 = 3

                     0 + 0 ≠ 3

                      0 ≠ 3

The statement is false.

Answer: 1.60x + 1.75y is less than or equal to 10

Step-by-step explanation:

Since the strawberries cost $1.60 per pound, it would be x pounds times $1.60 for the total cost of strawberries. Since the raspberries cost $1.75 per pound, it would be y pounds times $1.75 for the total cost of the raspberries. The total cost of both, or 1.60x + 1.75y, must be equal to or less than 10 because she cannot spend over 10 dollars.

The situation can be represented by the equation 1.60x + 1.75y = 10, where x represents the pounds of strawberries and y represents the pounds of raspberries. To find out how many pounds of strawberries and raspberries Joy can buy, we can rearrange the equation and solve for x and y.

The situation can be represented by the equation 1.60x + 1.75y = 10, where x represents the pounds of strawberries and y represents the pounds of raspberries. To find out how many pounds of strawberries Joy can buy, we can rearrange the equation to solve for x: x = (10 - 1.75y) / 1.60. Similarly, to find out how many pounds of raspberries Joy can buy, we can rearrange the equation to solve for y: y = (10 - 1.60x) / 1.75.

https://brainly.com/question/31441129

#SPJ2

Answer is shown in the attached image, in RED.

Answer:

3 to 4

or

3:4

Step-by-step explanation:

Answer:

80 Cents

Step-by-step explanation:

Answer: Each person will need to pay $1.25

Step-by-step explanation: $13.75 divided by the 11 people = $2.25

Perhaps brainliest?

Answer : The value of car will be, $11654.98

Step-by-step explanation:

Given,

Principle = $22300

Time = 6 years

Rate of depreciation = 10.25 %

Formula used :

[tex]A=P(1-\frac{R}{100})^t[/tex]

where,

A = amount

P = principle

R = rate  of depreciation

T = time

Now put all the given values in the above formula, we get:

[tex]A=P(1-\frac{R}{100})^t[/tex]

[tex]A=\$ 22300(1-\frac{10.25}{100})^{6}[/tex]

[tex]A=\$ 11654.98[/tex]

Therefore, the value of car will be, $11654.98

Answer: y = 17x

Step-by-step explanation:

Note that the equation that will be used is: y = mx + b,in which m = slope and b = y-intercept.

Solve for b:

0 = 17(0) + b

Simplify:

0 = 0 + b

b = 0

Equation: y = 17(x)

~

ABOUT POINT SLOPE FORM:

ABOUT PROBLEM:

y - Y1 = m (x - X1)

y - 0 = 17 (x - 0) --- IN POINT SLOPE FORM

Hope this helps you!!! :)

Answer:

Number of marbles are 200000

Step-by-step explanation:

Rectangular box:

length = 5 feet

width =4 feet

height =3 feet

now, we can find volume of box

[tex]V=L\times W\times H[/tex]

[tex]V=5\times 4\times 3[/tex]

[tex]V=60ft^3[/tex]

Volume of marbles:

We know that shape of marbles will be in sphere

we are given

diameter =1 inch

radius =0.5 inch

[tex]r=\frac{0.5}{12} ft[/tex]

now, we can find volume

[tex]V=\frac{4}{3}\pi r^3[/tex]

we can plug value

[tex]V=\frac{4}{3}\pi (\frac{0.5}{12})^3[/tex]

[tex]V=0.00030[/tex]

now, we can find number of marbles

Number of marbles = ( volume of box)/( volume of marbles)

So, number of marbles are

[tex]=\frac{60}{0.00030}[/tex]

[tex]=200000[/tex]