Triangle J L K. Side L K is 4 meters and K J is 3 meters. Angle L is 48 degrees and angle K is 90 degrees. Triangle M O N. Side M O is 1.5 meters, O N is 2 meters, and N M is 2.5 meters. Angle O is 90 degrees.

Use properties of similar triangles to answer the questions.

What is the measure of angle J?


Which side of △MNO corresponds to JK?


What is the ratio of the larger triangle to the smaller triangle?
​

First , second and last option are relevant to hyperbola . So , they are correct.

Review each statement to determine if it is true for a hyperbola

It is confirm that the first statement is true because a vertex of a hyperbola is a point on the hyperbola that lies on the transverse axis

It is It is confirm that the second statement is true because the center of a hyperbola is the midpoint of the vertices

It is confirm that the third statement is false because a vertex of a hyperbola is a point on the hyperbola that lies on the transverse axis

It is confirm that the fourth statement is false because the transverse axis of a hyperbola is the line segment that contains the vertices and the foci

It is confirm that the fifth statement is true because the directrices of a hyperbola are two lines parallel to the conjugate axis and located a distance from the center equal to the distance from the center to the foci.

Therefore, the first, second, and last options are correct.

Question :

Equation of the axes: The equation of the axes of a hyperbola is x = h, where h is the x-coordinate of the center of the hyperbola.

Equation of the asymptotes: The equation of the asymptotes of a hyperbola is y = ±(b/a)x, where a and b are the distances from the center to the vertices along the transverse and conjugate axes.

Equation of the conjugate hyperbola: The equation of the conjugate hyperbola can be found by interchanging a and b in the equation of the original hyperbola.

Review each statement to determine if it is true for a hyperbola

1. "A point on a hyperbola that sits on the transverse axis is called a vertex." - True. That's because the vertices of a hyperbola are indeed points on the hyperbola that line up with the transverse axis.

2. "The center of a hyperbola is right in the middle of its vertices." - True. Think of it like finding the midpoint between two ends. That's where the center of the hyperbola sits.

3. "A hyperbola's vertex is exactly where it meets the transverse axis." - false.

4. "The transverse axis of a hyperbola is the line connecting its vertices and foci." - False. The transverse axis actually links the vertices directly, not the vertices and the foci.

5. "The directrices of a hyperbola are two lines that run parallel to its conjugate axis, and they're positioned at a distance from the center to match the distance from the center to the foci." - True. It's like setting up boundaries at a certain distance from the center to guide the shape of the hyperbola.

So, yes, you're right about the first, second, and last statements being true.

incomplete question

Answer:

Milk $3.60

Water $1.80

Chips $0.90.

Step-by-step explanation:

If w = cost of 1 bottle of water, m = cost of 1 gal of milk and c cost of 1 bag of chips we have.

4m + 6w + 5c  = 29.7

Also we have w = 2c and m = 1.8 + w.

From the first equation we have c = w/2.

So substituting for c and m in the initial equation we have:

4(1.8 + w) + 6w + 5(w/2) = 29.7

7.2 + 4w + 6w + 2.5w = 29.7

12.5w = 22.5

w = 1. 80.

So c = w/2 = 1.8/2 = 0.90.

and  m = 1.8 + 1.8 = 3.60.

The cost of bag of chips is $5.58 , bottle of water is $ 11.16 and gallon of milk is $12.96.

An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

It is given that

4 gallons of milk, 6 bottles of water and 5 snack size bags of chips costs $29.7

Let the price of bag of chips is $x

Then

bottle of water , y costs twice as much as a bag of chips

y = 2x

a gallon of milk , z costs $1.80 more than a bottle of water

z = y +1.8

z = 2x +1.8

The equation that will be formed is

x + 2x + 2x +1.8 = 29.7

5x +1.8 = 29.7

5x = 27.9

x = $5.58

y = $11.16

z = $12.96

Therefore the cost of bag of chips is $5.58 , bottle of water is $ 11.16 and gallon of milk is $12.96.

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When a point is reflected across the y-axis, the x-coordinate remains the same, but the sign changes. The distance of the new point from the y-axis is the same as the distance of the original point from the y-axis.

When a point is Reflecting points across the y-axis, the x-coordinate remains the same, but the sign changes.

So, if the original point is (3, 5), the new point will be (-3, 5). The distance of the new point from the y-axis is still 3 units.

This is because the distance between any point and the y-axis is the distance between the x-coordinate of that point and 0 on the number line.

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Answer:

The expression that represents his total time is given by "t = 7.5/s" where s is his speed against the wind.

Step-by-step explanation:

In order to solve this problem we will assign a variable to Curtis speed on the first leg of the trip, this will be called "s". Since the speed on the first part is "s" and the speed on the second part is 20% higher, then the speed on the second part is "1.2s". Each leg of the course is 9 miles long, therefore the time it took to go each way is given by:

time = distance/speed

First part:

t1 = 9/s

Second part:

t2 = 9/1.2s = 7.5/s

The expression for the whole course is the sum of each, so we have:

t = t1 + t2

t = 9/s + 7.5/s

t = (9 + 7.5)/s = (16.5)/s

Answer:

-15/2  (or  -7 1/2)

Step-by-step explanation:

-7.5 is equal to -75/10.

When you simplify it, you get:

-15/2  which simplifies to -7 1/2

The compound interest on 2000 is 60.

Step-by-step explanation:

Given,

Principal (P) = 2000

Rate of interest (r) = 3%

Time (T) = 1 years

To find the interest calculated compound in 1 year.

Formula

Amount = P[tex](1+\frac{r}{100} )^{T}[/tex]

Putting the given values we get,

Amount = 2000[tex](1+\frac{3}{100} )^{1}[/tex]

= 2060

So,

The interest = 2060-2000 = 60

Answer:

11:45 AM

Step-by-step explanation:

We have that in one hour the body temperature decreased

went down in

81.7 - 80.2 = 1.2

i.e. 1.2 degrees.

Normal body temperature is 98.6 degrees.

The difference between normal and 11 pm is 98.6-81.7 = 16.9

i.e. 16.9 degrees

now to know how much it decreases every hour:

16.9/ 1.5 = 11.26, that is 11 hours and 15 minutes (1/4 of an hour)

If that was 11:00 PM - 11:15 minutes, the murder was at 11:45 AM

Final answer:

To determine the time of death using body temperature changes from normal to discovered levels, applying physics principles is essential.

Explanation:

The time of death for the old man can be determined by calculating the rate at which body temperature decreases from the normal level to the discovered level. In this case, we have a normal body temperature of 37°C, a discovered temperature of 28°C, and subsequent temperatures of 24°C and 0°C. Using the information provided, the time of death for the old man was approximately 10:00 PM.

This calculation is based on the rate of body temperature decrease from the point of discovery to the hospital, considering the normal body temperature, room temperature, and the temperatures recorded during the investigation. This scenario demonstrates the application of physics principles in forensic investigations to determine the time of death based on body temperature changes.

Answer:

5m

Step-by-step explanation:

The GCF is 5m assuming that the question was actually:

5m⁴, 50nm, 15m³n²

Final answer:

The greatest common factor of the given monomials 5m⁴, 50nm, and 15³n² is 5m.

Explanation:

To find the greatest common factor of the given monomials 5m⁴, 50nm, and 15³n², we need to factorize each monomial and find the common factors.

Now, we can find the common factors by looking at the factors that are present in each monomial.

The common factors are 5 and m.

So, the greatest common factor is 5m.

Complete Question:

The rectangle below has an area of x^2-6x-7 square meters and a width of x-7 meters. What expression represents the length of the rectangle?

Answer:

Solution:

Given that,

[tex]\text{Area of rectangle} = x^2 - 6x - 7 \\\\Width = x - 7[/tex]

TO FIND: LENGTH = ?

We know that,

[tex]Area\ of\ rectangle = length \times width \\\\Therefore\\\\x^2 - 6x - 7 = length \times x - 7\\\\length = \frac{x^2 - 6x - 7 }{x - 7 }\\\\length = \frac{(x-7)(x + 1)}{x - 7}\\\\\text{cancel out x-7 from numerator and denominator} \\\\length = x + 1[/tex]

Thus expression represents the length of the rectangle is (x + 1) meter

Answer:

B. y = -3/8x - 4

Step-by-step explanation:

Given equation: 3x - 8y = 12

Find a parallel line that matches one of the equations shown.

First, find the slope by solving for y:

3x - 8y = 12

8y = -3x + 12

y = -3/8x + 12/8

y = -3/8x + 3/2

Slope m = -3/8

Since the slope of a line parallel is the same slope, the only equation that fits the conditions is B because in the form y = mx + b, m = -3/8

Answer:

∠ RQU = 25°

Step-by-step explanation:

The opposite angles of an inscribed circle are supplementary, thus

∠ URS + ∠ UTS = 180°, that is

∠ URS + 124° = 180° ( subtract 124° from both sides )

∠ URS = 56°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ URS is an external angle to Δ QUR, that is

∠ RQU + 31° = 56° ( subtract 31° from both sides )

∠ RQU = 25°

Answer:

The first one is c.

The second one is a.

third is 272.83 and -272.83

fourth is a

Step-by-step explanation:

your welcome

Answer:

81

Step-by-step explanation:

Answer:

64 pi

Step-by-step explanation:

lmk if you need an explanation

Answer:

[tex]64\pi[/tex]

Step-by-step explanation:

The area of a circle can be found using:

[tex]a=\pi r^{2}[/tex]

We have the circumference, but we need the radius. Circumference can be found using:

[tex]c=2\pi r[/tex]

We know the circumference is 16[tex]\pi[/tex], so we can substitute that in for c

16[tex]\pi[/tex] =2[tex]\pi[/tex] r

We need to solve for r, or the radius. To do this, divide both sides by 2[tex]\pi[/tex]. This will get r by itself.

16[tex]\pi[/tex] /2[tex]\pi[/tex] =2[tex]\pi[/tex] r/2[tex]\pi[/tex]  

8=r

Now we know the radius, and can substitute it into the area formula

[tex]a=\pi r^2[/tex]

Substitute 8 in for r

[tex]a=\pi 8^2[/tex]

[tex]a=64\pi[/tex]

This answer is expressed in terms of pi, since it includes pi in the answer. Therefore, the area, in terms of pi is [tex]64\pi[/tex]

Answer:

62.8

Step-by-step explanation:

d=10

10x3.14

31.4

31.4x2

62.8 is the perimeter

Answer:

n = 18

Step-by-step explanation:

2n - 5 = 31

Add 5 to each side

2n - 5+5 = 31+5

2n = 36

Divide each side by 2

2n/2 = 36/2

n = 18

Answer:

x^2-7x+2x-14 or x squared minus seven x plus two x minus fourteen

Step-by-step explanation:

(x+2)*(x-7)=  x^2-7x+2x-14

First: x^2

Outer: -7x

Inner: 2x

Last: -14

Answer:

x²-5x-14

Step-by-step explanation:

Write the equation (x+2)(x-7)

Multiply (F in FOIL)

x*x =x²

Multiply (O in FOIL)

x*-7 = -7x

Multiply (I in FOIL)

2*x = 2x

Multiply (L In FOIL)

2*-7 = -14

Combine like terms

-7x + 2x = -5x

Write the equation

x²-5x-14

Answer:

To make f continuous at [tex]x=2[/tex], [tex]f(2)[/tex] should be defined [tex]x = 2.[/tex]

Step-by-step explanation:

A function, let say [tex]f(x)[/tex], is defined at [tex]x = c[/tex] is continuous at [tex]x = c[/tex]

If the limit of [tex]f(x)[/tex] as [tex]x[/tex] approaches [tex]c[/tex] is equal to the value of [tex]f(x)[/tex] at  [tex]x = c[/tex].

Mathematically it is written as:

if

[tex]\lim _{x\to c}\:f\left(x\right)=f\left(c\right)[/tex]

then

[tex]f(x)[/tex] is continuous at  [tex]x = c[/tex].

So from the above definition, we conclude that:

To make f continuous at [tex]x=2[/tex], [tex]f(2)[/tex] should be defined [tex]x = 2.[/tex]

i.e.

if

[tex]\lim _{x\to 2}\:f\left(x\right)=f\left(2\right)[/tex]

then

[tex]f(x)[/tex] is continuous at  [tex]x = 2[/tex].

To make f continuous at x=2, define f(2) to be equal to 4. This makes the left-hand limit, right-hand limit, and function value at x=2 all equal to 4, which satisfies the definition of continuity.

To make a function continuous at a point, the left-hand limit and right-hand limit at that point must be equal to the function's value at that point. In other words, if a function is continuous at x=a, then

[tex]\lim_{x \to a^+} f(x)=f(a)[/tex]

Therefore, to make f continuous at x=2, we must define f(2) to be equal to the limit of f(x) as x approaches 2 from both the left and the right.

We can see that the limit of f(x) as x approaches 2 from the left is 4. This is because f(x) approaches 4 as x approaches 2 from the left, even though f(2) is undefined.

We can also see that the limit of f(x) as x approaches 2 from the right is 4. This is because f(x) approaches 4 as x approaches 2 from the right, even though f(2) is undefined.

Therefore, to make f continuous at x=2, we must define f(2) to be equal to 4.

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the volume of the​ sculpture is [tex]Volume = 64.11ft^3[/tex] .

Step-by-step explanation:

Here we have , An artist creates a​ cone-shaped sculpture for an art exhibit. If the sculpture is 5 feet long and has a base with a circumference of 21.980 feet, We need to find the volume of the​ sculpture . Let's find out:

We know that

⇒ [tex]Circumference = 2\pi r[/tex]

According to question ,

⇒ [tex]21.980 = 2\pi r[/tex]

⇒ [tex]\frac{21.980}{2\pi} = r[/tex]

⇒ [tex]r=3.5[/tex]

Now , We know that Volume of cone :

⇒[tex]Volume = \frac{1}{3}\pi r^2h[/tex]

⇒[tex]Volume = \frac{1}{3}(3.14) (3.5)^25[/tex]

⇒[tex]Volume = 64.11ft^3[/tex]

Therefore , the volume of the​ sculpture is [tex]Volume = 64.11ft^3[/tex] .

Answer:

You can prove it by the SAS postulate.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

i got it right

Answer:

the median, because it decreases the influence of outliers

Step-by-step explanation:

A)

Number of Gallons drained per hour; Number of hours (Independent Variables)

Number of Gallons in the pool (Dependent Variable)

B) -25 (It's the negative value of how many gallons are drained in an hour)

C)13000 (It means how many gallons were in the pool to begin with)

D)3000 (It's the corresponding value for 40 as the x-value)

Answer:

solution is 7. graphing is: open circle on 7 with the arrow pointing right. -->

Step-by-step explanation:

the answer has to be more than 4, so five or more. Then you add 2 to 5 and get 7. 7-2=5 which is greater than 4.

Answer:

495760

Step-by-step explanation:

Answer:

495760

Step-by-step explanation:

add 2 to 8

Answer:

Distributive property does not apply here because there is nothing to distribute nor is there any parenthesis.

Answer:

mean=10.625=10.6

median=12

Step-by-step explanation:

Mean

The word mean, which is a homonym for multiple other words in the English language, is similarly ambiguous even in the area of mathematics. Depending on the context, whether mathematical or statistical, what is meant by the "mean" changes. In its simplest mathematical definition regarding data sets, the mean used is the arithmetic mean, also referred to as mathematical expectation, or average. In this form, the mean refers to an intermediate value between a discrete set of numbers, namely, the sum of all values in the data set, divided by the total number of values. The equation for calculating an arithmetic mean is virtually identical to that for calculating the statistical concepts of population and sample mean, with slight variations in the variables used

Median

The statistical concept of the median is a value that divides a data sample, population, or probability distribution into two halves. Finding the median essentially involves finding the value in a data sample that has a physical location between the rest of the numbers. Note that when calculating the median of a finite list of numbers, the order of the data samples is important. Conventionally, the values are listed in ascending order, but there is no real reason that listing the values in descending order would provide different results. In the case where the total number of values in a data sample is odd, the median is simply the number in the middle of the list of all values. When the data sample contains an even number of values, the median is the mean of the two middle values. While this can be confusing, simply remember that even though the median sometimes involves the computation of a mean, when this case arises, it will involve only the two middle values, while a mean involves all the values in the data sample. In the odd cases where there are only two data samples or there is an even number of samples where all the values are the same, the mean and median will be the same

plz mark brainliest

Answer:

c.

Step-by-step explanation:

All of the things are correct with this one.

Answer:

D

Step-by-step explanation:

Answer is D.

Answer:

d.

the indirect connection between weight and leaf content

Step-by-step explanation: