Given: quadrilateral MATH; M(-5,-2), A(-3,2),
T(3,2) and H(1,-2)
Prove: MATH is a parallelogram

State the formula you will be using.
Show all work.

Answer:

120 km/h

Step-by-step explanation:

average speed=total distance÷time

=1080÷9

=120 km/h

Answer:

2-6

3-9

5-15

6-18

2-6

4-12

5-15

8-24

Step-by-step explanation:

Multiply by 3

Answer:

10

Step-by-step explanation:

no explanation just math-way

Answer:

[tex]h = -42[/tex]

Step-by-step explanation:

First, subtract 54 from both sides.

[tex]h = 4^2 - 16 \div 4 - 54[/tex]

Then, evaluate the right-hand expression using the order of operations:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

We'll first evaluate the exponent in 4²:

[tex]4^2 = 4 \times 4 = 16[/tex]

[tex]h = 16 - 16 \div 4 - 54[/tex]

Next, we can evaluate the division:

[tex]16 \div 4 = 4[/tex]

[tex]h = 16 - 4 - 54[/tex]

Finally, perform the subtraction.

[tex]16 - 4 - 54 = -42[/tex]

[tex]h = -42[/tex]

Answer:

[tex] \sf \: h = - 42[/tex]

Step-by-step explanation:

Given equation,

→ h + 54 = 4² - 16 ÷ 4

Now the value of h will be,

→ h + 54 = 4² - 16 ÷ 4

→ h + 54 = 16 - 4

→ h + 54 = 12

→ h = 12 - 54

→ [ h = -42 ]

Hence, value of h is -42.

The type of quadrilateral is ABCD is parallelogram.

There are some properties of parallelogram:

The coordinate of quadrilateral ABCD  are A=(2,4) B=(5,6) C=(4,3) D=(1,1)

By using the coordinates we can find the slope:

slope=y2-y1/x2-x1

the slope of AB =6-4/5-2

AB=2/3

the slope of AD =1-4/1-2

AD=3/1

the slope of CD =1-3/1-4

CD=2/3

the slope of BC =3-5/3-6

BC=2/3

The slope indicates that the slope of AB is equal to BC and the slope of AD is equal to CD

Therefore, as per the properties, quadrilateral ABCD  is Parallelogram

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Approximately 300 plants are made pharmaceuticals currently under different stages of discovery.

Why do you use the term pharmaceutical?

pharmaceutical, material used for repairing, changing, or treating organic processes as well as for illness diagnosis, treatment, or prevention. Pharma (Bachelor of Pharmacy): Course, Qualifications, Admission, Syllabus, Pay, and Scope.

What function do drugs serve?

Drugs are created, produced, and distributed by the pharmaceutical business. Its goal is not to define sickness. Drug manufacturers typically focus on ailments that have already been identified by the medical community.

                          The positive side effects of medications, such as those that lower blood pressure, treat infections, or reduce pain, are considered their advantages. The possibility that anything unfavorable or unexpected will occur to you as a result of using a medication is what we mean by "risks."

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Exponential graph is identified by its curve.

An exponential graph is a graph that shows a rapid increase or decrease of a value over time, where the rate of change is proportional to the current value. It is usually represented by a curve that bends upward or downward.

The key characteristic of an exponential graph is that the Y-axis is on a logarithmic scale, and the curve of the graph is a steep curve going either up or down. The equation of an exponential graph is usually of the form y = ab^x, where a is the initial value, b is the growth or decay factor, and x is the independent variable.

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The width of the frame is 2.4 inches

Let w represent the width of the frame

Then the area of the frame is:

(w + 5)(w + 7) = 69.56

Rewrite it in Standard form of a quadratic equation:

w² + 12w + 35 = 69.56

w² + 12w - 34.56 = 0

Use Quadratic Formula to solve for w:

w =  (-b±√(b²-4ac))/(2a)

w =  (-12±√(12²-4×1×(- 34.56)))/(2×1)

w = (-12±√(144+138.24))/(2)

w = (-12±16.8)/2

w = -6 ± 8.4

w = -6 + 8.4 or -6-8.4

w = 2.4 or w = -14.4

Since the width cannot be negative.

Thus, w = 2.4 inches

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We have proved that △BCD≅△CBE.

What are congruent triangles?

Congruent triangles are triangles that have the same size and shape. They have the same angles and corresponding side lengths.

By the RHS congruence condition if the hypotenuse and one side of one right triangle are equal to the hypotenuse and one side of another right triangle then both right triangles are congruent.

It is given that BD=CE and BC is the hypotenuse of small triangles CEB and BDC

So, In right triangles BCD and CBE

BC=CB=common side⋯⋯[hypotenuse]

And BD=CE=given⋯⋯[sides of right triangles]

So, by RHS condition

△BCD≅△CBE.

Hence, we have proved that △BCD≅△CBE.

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We have proved that △BCD≅△CBE.

What are congruent triangles?

Congruent triangles are triangles that have the same size and shape. They have the same angles and corresponding side lengths.

By the RHS congruence condition if the hypotenuse and one side of one right triangle are equal to the hypotenuse and one side of another right triangle then both right triangles are congruent.

It is given that BD=CE and BC is the hypotenuse of small triangles CEB and BDC

So, In right triangles BCD and CBE

BC=CB=common side⋯⋯[hypotenuse]

And BD=CE=given⋯⋯[sides of right triangles]

So, by RHS condition

△BCD≅△CBE.

Hence, we have proved that △BCD≅△CBE.

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All that is the equivalent angle to the given angle sin∠GFH is cos∠GEJ.

Corresponding angles are those angles which are created in the matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal).

From the image, we get JE and HF are parallel.

So ∠GFH and ∠GEJ are corresponding angles. That means they are equal.

⇒sin(∠GFH) = sin(∠GEJ).

From triangle GFH, ∠GFH + ∠FGH = 90.

⇒sin(∠GFH) = cos(∠FGH).

Again ∠FGH = ∠EGJ.

⇒sin(∠GFH) = cos(∠EGJ)

All that is equivalent to sin∠GFH is cos(∠EGJ).

Thus, the correct answer is D.

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Answer:

I believe it would be x=-5

Step-by-step explanation:

..

No, the function f(x) = x - √x - 4 is not continuous on the interval [4, infinity].

Here's why, A function is considered continuous if the function is defined at every point in its domain and there are no breaks or jumps in the function's graph. In this case, the function f(x) = x - √x - 4 is defined for all x > 4, However, the function includes a square root of x-4, which is defined only for non-negative real numbers, thus for x < 4, the function is undefined. Therefore, the function is not continuous on the interval [4, infinity].

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Back with the braids.

The median's class interval is 20 hours and 30 minutes. And the average number of hours is thought to be 26.17.

The median is the exact middle value of a dataset after it has been sorted. A measure of central tendency is the distance between the bottom 50% of data and the top 50% of values. The methods for determining the median will vary depending on whether you have an odd or even number of data points.

the class interval that have  median.

total is frequency is as -

∑f = 30

median class of corresponds to half of the value

∑th is the  value

i.e.  15th value.

least cumulative frequency higher than or equal to 15 is obtained by accumulating frequencies starting at the top.

[tex]2+8+9=19[/tex]

So, corresponds to the class interval  = [tex]20 < h\leq 30.[/tex]

Hence, median class is [tex]20 < h\leq 30.[/tex]

Since this is a grouped data we use the midpoint

The median:-

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It depends on your personal financial situation and goals. Generally, it is important to save for major purchases such as a house, car, and vacations, as well as setting aside money for retirement. Additionally, you may want to consider investing in stocks, bonds, or mutual funds to achieve your long-term financial goals.

Answer:

[tex]y-2=-\frac{1}{2}(x-3)[/tex]

Step-by-step explanation:

[tex]x+2y=5 \\ \\ 2y=-x+5 \\ \\ y=-\frac{1}{2}x+\frac{5}{2}[/tex]

The slope of the given line is [tex]-\frac{1}{2}[/tex].

This means the slope of any line parallel to the given line is also [tex]-\frac{1}{2}[/tex].

Using point-slope form, the equation is [tex]y-2=-\frac{1}{2}(x-3)[/tex].

(a) Since cosθ = 7/12 and sinθ < 0, we can find the other four trigonometric functions as follows:

sinθ = √(1 - cos²θ) = √(1 - (7/12)²) = √(1 - 49/144) = -√(95/144)

tanθ = sinθ / cosθ = (-√(95/144)) / (7/12) = -4√(5/18)

cotθ = 1 / tanθ = -1 / (-4√(5/18)) = 1/(4√(5/18))

secθ = 1 / cosθ = 1 / (7/12) = 12/7

cscθ = 1 / sinθ = -1 / (-√(95/144)) = √(95/144)

(b) Since tanθ = 4/3 and θ is in Quadrant III, we can find the other five trigonometric functions as follows:

cosθ = √(1 / (tan²θ + 1)) = √(1 / (16/9 + 1)) = √(9 / 25) = 3/5

sinθ = cosθ * tanθ = (3/5) * (4/3) = 4/5

cotθ = 1 / tanθ = 1 / (4/3) = 3/4

secθ = 1 / cosθ = 1 / (3/5) = 5/3

cscθ = 1 / sinθ = 1 / (4/5) = 5/4

Trigonometric functions are a set of functions that relate the angles of a right triangle to the ratios of the sides of the triangle. The six most commonly used trigonometric functions are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

The sine function, represented by sin, gives the ratio of the side opposite the angle to the hypotenuse. The cosine function, represented by cos, gives the ratio of the adjacent side to the hypotenuse. The tangent function, represented by tan, gives the ratio of the opposite side to the adjacent side.

The cotangent function, represented by cot, gives the ratio of the adjacent side to the opposite side. The secant function, represented by sec, gives the ratio of the hypotenuse to the adjacent side, and the cosecant function, represented by csc, gives the ratio of the hypotenuse to the opposite side.

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To evaluate (3 x 8 x 5)⁷, you need to first multiply 3, 8, and 5 together to get the base, then raise that result to the seventh power.

What does a math exponent mean?

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 23) signifies 2 x 2 x 2 = 8. 23 and 2 x 3 = 6 are not equivalent. Keep in mind that any number is itself when raised to the power of 1.

So,

(3 x 8 x 5)⁷ = (120)⁷ = 120 x 120 x 120 x 120 x 120 x 120 x 120

= (1.2 x 10^2)^7 = 1.2 x 10^2 x 1.2 x 10^2 x 1.2 x 10^2 x 1.2 x 10^2 x 1.2 x 10^2 x 1.2 x 10^2

=1.2^7 x 10^14 = 1.2^7 x 10^14

=4096 x 10^14

=4.096 x 10^17

Therefore (3 x 8 x 5)⁷ = 4.096 x 10^17

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Answer:

Step-by-step explanation:

So first, with the given table you need to "plug-in" the numbers that are there for x and y.

Ok, for example 2 is listed in the "x" row. So plug it 2 for "x":

3x+y=15

3(2)+y=15

6+y=15

-6      -6

y=9

So do this for all of them...the same goes with all of the values...just plug in one, complete the steps then you'll get the answer for the other variable.

Hope this helps!

The number of visits Jaya can make to earn his first free movie ticket is 8

Total reward points received for signing up by Jaya = 85 rewards point

Total reward points received for each visit to the theatre by Jaya = 8.5 rewards point

Total reward points needed to Jaya for getting a free movie ticket = 153 rewards point

Let x represents the number of visits to the movie theatre

According to the question,

We can write it as:

85 + 8.5x  ≥  153  ------(i)

Now subtract 85 from both the side of equations,

We will get it as follows:

85 + 8.5x - 85 ≥ 153 - 85

8.5x ≥ 68

Further solving we will get it as:

x ≥ (68/8.5)  ≥ 8

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Answer:

Least to greatest.

Persian, Maine Coon, and American Shorthair

Answer:

y=7/2 and x=6

Step-by-step explanation:

2x−6y=−2y−2 can be turned into x=2y−1.

Now you can substitute the equations.

−6x−4y=−2x−38

−6(2y−1)−4y=−2(2y−1)−38

Then you can simplify.

−12y+6=−36

−12y=−42

y=7/2

Then you can substitute y to find x.

x=2y−1

x=2(7/2)-1

x=6

And then our answers are y=7/2 and x=6.

Hope this helped! :)

I'm pretty sure the answer is 72 :))

20 dodgeballs have been pumped up by Ttaloc.

Ttaloc has 36 additional pumped-up balls.

The complete ball's original number is 14.

The relationship between two or more numbers is expressed by the ratio. It displays the frequency of how often one value is encapsulated by another value (s).

The number of dodgeballs Ttaloc pumped up = (5/14) x 56 = 20

The number of other balls Ttaloc pumped up = (9/14) x 56 = 36.

A ratio in mathematics demonstrates how many times one number is present in another.

A ratio can have any number of quantities, such as counts of people or things or measurements of length, weight, time, etc. Both numbers must be positive in most situations.

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Answer:

The difference in costs including tax between the two nights is $53

Step-by-step explanation:

To find the cost of the hotel suite on Monday including tax, we first calculate the amount of tax by multiplying the room rate by 6% (0.06):

$299.00 * 0.06 = $17.94

So the total cost of the room on Monday including tax is:

$299.00 + $17.94 = $316.94

Next we find the cost of the hotel suite on Friday including tax:

$349.00 * 0.06 = $20.94

So the total cost of the room on Friday including tax is:

$349.00 + $20.94 = $369.94

Finally, to find the difference in costs between the two nights, we subtract the cost of the room on Monday including tax from the cost of the room on Friday including tax:

$369.94 - $316.94 = $53

The difference in costs including tax between the two nights is $53.

Answer:

--------------------------------

The cost x including a 6% tax is:

The difference in costs including tax is:

A logarithm is the inverse operation of exponentiation, that is to say, log(a^b) = b, where log is logarithm, a is the base and b is the exponent.

A logarithmic function is called such because it relates the logarithm of a number to the number itself.

In other words, it is a function that expresses the value of the logarithm for a given number. This function is represented by the notation y = logb(x) where y is the logarithm, b is the base, and x is the number.

The logarithmic function is used to solve exponential equations, it is also useful in many fields such as mathematics, physics, engineering, and finance.

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The finding is significant at both α = 0.05 and α = 0.01.

What is hypothesis ?

A hypothesis (plural: hypotheses), in a scientific context, is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

Have given ,

H0: p = 0. 65 ,  Ha: p < 0. 65 and  the z test statistic is found to be -2. 35.

From the test statistic value, we can obtain the p value of the test ,

To determine if the claim is significant at both α = 0.05 and α = 0.01

We compare the Z statistic and Z critical values

If Z statistic < Z critical ; then we reject H0; if otherwise, we fail to reject H0

Z critical at 95% one tailed = - 1.645 (left tail)

Z critical at 95% one tailed = -2.326 (left tail)

- 2.35 < - 1.645

-2. 35 < 2.326

Since, Z statistic < Z critical;

The finding is significant at both α = 0.05 and α = 0.01.

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Answer:

y-5=-1/7(x-4)

Step-by-step explanation:

The equation of the line in point-slope form is y-5=-1/7(x-4)

Answer:

y = -1/7 x + 39/7

Step-by-step explanation:

An equation in point slope form is

y = mx+b  where m is the slope and b is the y intercept

We are given the slope

y = -1/7 x + b

Substitute in the point for x and y and solve for b

5 = -1/7(4) +b

5 = -4/7 +b

5 + 4/7 = b

5*7/7 + 4/7 = b

35/7 + 4/7 = b

39/7 = b

The equation is

y = -1/7 x + 39/7