Pls help ASAP !!
which of the following statements must be true if GHI-JKL ?

1. The corresponding sides of the two triangles must be proportional.
2.The two triangles must have exactly one acute angle.
3.At least one of the sides of the two triangles must be parallel.
4.The sides of the triangles must have equal lengths.
5. The two triangles must be scalene.
6. None of the above.

Answer:

the right answer is 18 because 120 divided by 20 is 6 so the you do 6 times 3

Answer:

the answer is 18

Step-by-step explanation:

20:3=workers:casiers

120:x

cross multiply so that means 3 multiplied by 120 which is 360 divided by 20 which is 18

hope this helps :)

Answer:

1.029 is greater than 1.0275

Step-by-step explanation:

Answer:

1.029

Step-by-step explanation:

What is greater 1.0275 or 1.029

.027 < .029

So, 1.029 is greater.

Let's assume that the number of diners at the Italian restaurant is "x" and the number of diners at the Mexican restaurant is "y". Then, we can write the following equations based on the given information:

Italian restaurant:

Donation = $462 + $1 per diner

Donation = $462 + $1x

Mexican restaurant:

Donation = $235 + $2 per diner

Donation = $235 + $2y

Since both restaurants will donate the same total amount, we can set their donations equal to each other:

$462 + $1x = $235 + $2y

Simplifying this equation, we get:

$2y - $1x = $227

We know that the number of diners has to be a whole number, so we can try different values of x and see which one gives us a whole number for y.

For example, if we try x = 200, then we can solve for y:

$2y - $1(200) = $227

$2y = $427

y = 213.5

Since y is not a whole number, we need to try a different value of x. If we try x = 250, then we get:

$2y - $1(250) = $227

$2y = $477

y = 238.5

Again, y is not a whole number, so we try another value of x. If we try x = 300, then we get:

$2y - $1(300) = $227

$2y = $527

y = 263.5

Still not a whole number, so we try x = 350:

$2y - $1(350) = $227

$2y = $577

y = 288.5

Finally, we get a whole number for y, so we have our solution:

Italian restaurant: x = 350 diners, donation = $812

Mexican restaurant: y = 289 diners, donation = $812

Therefore, 350 diners promised to participate and each restaurant would donate $812.

Answer:

1

Step-by-step explanation:

plug in 2 for x. y = 10-9 or y = 1

The slope-intercept form of the line which passes through the point (3,-8) and with a slope of -4 is y = -4x + 4

We know that the equation of a line passing through a given point is as follows:

(y - y1) = m (x - x1) ….. (i)

Here, (x1, y1) ⇒ coordinates of the point

m ⇒ slope of the line

In the given question,

y1 = -8

x1 = 3

m = -4

Putting these values in equation (i),

(y - (-8)) = (-4) (x-3)

(y + 8) = -4x + 12

On rearranging, we get

y = -4x + 12 - 8

y = -4x + 4

Therefore, the slope-intercept form of the line which passes through the point (3,-8) and with a slope of -4 is y = -4x + 4.

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Answer:

605

Step-by-step explanation:

11x55=605

Answer:

15x²6y² .................

The product of the expression is \((3 x 5) x^5y^2\)

We have,

(3x³y) (5x²y)

Now,

Finding the product of the expression.

We add up the exponents of the same base.

\(x^3x^2 = x^{3 + 2} = x^5\\yy = y^{1 + 1} = y^2\)

And,

(3x³y) (5x²y)

\(= (3 x 5) x^5y^2\)

Thus,

The product of the expression is \((3 x 5) x^5y^2\)

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The solution to the equation given by M * M * M = 729 is 9

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

Given the equation:

M.M.M = 729

This gives:

M * M * M = 729

M³ = 729

Taking the cube root of both sides:

∛M³ = ∛729

M = 9

The solution to the equation is 9

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The system of equations has an infinite number of solutions.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation.

We have,

3x + 2y = 6 ____(1)

6x + 4y = 12 _____(2)

Applying the substitution method.

3x + 2y = 6

x = (6 - 2y)/3 in (2)

6 (6 - 2y)/3 + 4y = 12

2 (6 - 2y) + 4y = 12

12 - 4y + 4y = 12

12 = 12

This means,

It has an infinite number of solutions.

Thus,

An infinite number of solutions.

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The complete question is:

Graph the system of equations

3x + 2y = 6

6x + 4y = 12

and find the solution to the system.

Answer:

A chord is the line segment joining two points on a curve. The endpoints of a chord always lies on the circle.

It has a formula of ;

 \(2r sin\frac{\theta}{2}\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

i dont know the exact answer ..but i know that the hours would be a larger number and first you need to find out how many ours 1 pump takes so you do 3 divided by 7 which on the calculator its 0.4...

after this you times it but i dont know by what

Answer:

the answer is 10.5

Step-by-step explanation:

Out of the 400 surveyed students, 327 were either seniors or commuters.

To find the number of students who were either seniors or commuters out of the 400 surveyed students, we need to add the number of seniors and the number of commuters while avoiding double-counting those who fall into both categories.

According to the information given:

There were 262 seniors.

There were 215 commuters.

150 of the seniors were also commuters.

To avoid double-counting, we need to subtract the number of seniors who were also commuters from the total count of seniors and commuters.

Seniors or commuters = Total seniors + Total commuters - Seniors who are also commuters

= 262 + 215 - 150

= 327

Therefore, out of the 400 surveyed students, 327 were either seniors or commuters.

It's important to note that in this calculation, we accounted for the overlap between seniors and commuters (150 students who were both seniors and commuters) to avoid counting them twice.

This ensures an accurate count of the students who fall into either category.

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This necklace sold at auction for $11,379,600 in 2011. The percentage of the initial purchase price was represented by the auction price is 2.1%.

Given that,

For $54,000, an actor purchased a pearl, diamond, and ruby necklace for his well-known wife. This necklace sold at auction for $11,379,600 in 2011.

We have to find what percentage of the initial purchase price was represented by the auction price.

Let us take the percentage as x%.

Necklace sold at auction=the percentage multiplied by the actual price

We get,

$11,379,600 =x%($54,000)

x%=$11,379,600/$54,000

x%=2.1%

Therefore, the percentage of the initial purchase price was represented by the auction price is 2.1%.

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Answer: y = 3 or y=7

Step-by-step explanation:

\(y^{2} -10y+21\)

what 2 factors of 21 can equal 10 when added together (1*21- no 3*7- yes)

Factor

\((y-3)(y-7)\)

y-3=0

y=3

or y-7=0

y=7

Answer:

z = 72

Step-by-step explanation:

-1/4z + 12 = -6

× 4

-z + 48 = - 24

-z = - 72

z = 72

Answer:

840

Step-by-step explanation:

i dont really know

The cuboid in question has a surface area of 202 square units.

We must sum together the areas of all six faces to determine a cuboid's surface area.

The dimensions of the given cuboid are:

length (l) = 9 units

width (w) = 5 units

height (h) = 4 units

The area of each face is given by:

Top and bottom faces:\(lw = 9 * 5 = 45\) square units each

Front and back faces: \(lh = 9 *4 = 36\) square units each

Left and right faces: \(wh = 5 * 4 = 20\) square units each

Therefore, the total surface area of the cuboid is:

\(2(lw + lh + wh) = 2(45 + 36 + 20)\\ = 2(101) \\= 202 \ square \ units\)

Hence, the surface area of the given cuboid is 202 square units.

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Answer:

x =(2+√40)/18=(1+√ 10 )/9= 0.462

or:

 x =(2-√40)/18=(1-√ 10 )/9= -0.240

Answer:

0.4 - 0.40 - 4/10 -

Step-by-step explanation:

6 hundreds+ 30 ones = 630

630 + 2 tenths+ 4 hundredths + 6 thousandths=

Answer:

a) Option D is correct.

H0​: μ = 71

Ha​: μ > 71

b) Option F is correct

z > 1.28

c) z = 2.85

d) Option C is correct.

Reject H0.There is sufficient evidence at the α = 0.10 level of significance to conclude that the true mean heart rate during laughter exceeds 71 beats per minute.

Step-by-step explanation:

a) For hypothesis testing, the first thing to define is the null and alternative hypothesis.

The null hypothesis plays the devil's advocate and usually takes the form of the opposite of the theory to be tested. It usually contains the signs =, ≤ and ≥ depending on the directions of the test.

While, the alternative hypothesis usually confirms the the theory being tested by the experimental setup. It usually contains the signs ≠, < and > depending on the directions of the test.

This question aims to test the the true mean heart rate during laughter exceeds 71 beats per minute.

Hence, the null hypothesis is that there isn't sufficient evidence to say that the true mean heart rate during laughter exceeds 71 beats per minute. That is, the true mean doesn't exceed 71 beats per minute.

And the alternative hypothesis is that there is sufficient evidence to say that the true mean heart rate during laughter exceeds 71 beats per minute.

Mathematically,

The null hypothesis is represented as

H₀: μ = 71

The alternative hypothesis is represented as

Hₐ: μ > 71

b) Using z-distribution, the rejection area is obtained from the confidence level at which the test is going to be performed. Since the hypothesis test tests only in one direction,

Significance level = (100% - confidence level)/2

0.10 = 10% = (100% - confidence level)/2

20% = 100% - (confidence level)

Confidence level = 100% - 20% = 80%

Critical value for 80% confidence level = 1.28

And since we are testing if the true mean heart rate during laughter exceeds 71 beats per minute, the rejection area would be

z > 1.28

c) The test statistic is given as

z = (x - μ)/σₓ

x = sample mean = 73.4

μ = 71

σₓ = standard error = (σ/√n)

σ = 8

n = Sample size = 90

σₓ = (8/√90) = 0.8433

z = (73.4 - 71) ÷ 0.8433

z = 2.846 = 2.85

d) Since the z-test statistic obtained, 2.85, is firmly in the rejection area, z > 1.28, we reject the null hypothesis, accept the alternative hypothesis and say that there is sufficient evidence at the α = 0.10 level of significance to conclude that the true mean heart rate during laughter exceeds 71 beats per minute.

Hope this Helps!!!

Answer:

answer is ‐10

Step-by-step explanation:

The measure of the angle that turns through 3/10 of the circle is 108 degrees.

An angle is a geometric figure that is formed by two rays that share a common endpoint, which is called the vertex of the angle. The rays are referred to as the sides or legs of the angle. Angles are typically measured in degrees, with a full circle measuring 360 degrees.

Angles can be classified based on their degree of measurement: acute angles are less than 90 degrees, right angles are exactly 90 degrees, obtuse angles are greater than 90 degrees but less than 180 degrees, and straight angles are exactly 180 degrees.

Since a full circle has 360 degrees, 3/10 of the circle can be represented as:

(3/10) x 360 degrees = 108 degrees

Therefore, the measure of the angle that turns through 3/10 of the circle is 108 degrees.

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The complete question is :

The angle turns through 3/10 of the circle. What is the measure of the angle?

Answer:

Given that,

a geometric sequence of 2, 12, 72, and 432

To find the common ratio.

we know that, common ratio as,

where tn is the nth term of the sequence.

Using this we get,

Common ratio is 6

Answer is: option (b): 6

Answer:

Step-by-step explanation:

You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.

Newton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...

  T = 36 -26·(22/26)^(t/2)

At times of t=4 and t=9, the temperature readings will be ...

__

Additional comment

The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.

<95141404393>

Answer:

x<3

Step-by-step explanation:

2x<6
/     /

2    2

x<3

Answer:

The answer is 3.9 :)

Step-by-step explanation:

Answer:

3.9

Step-by-step explanation:

0.03 × 130 = N

3.9 = N

Hope this helps!

Answer:

Whats the question?

Step-by-step explanation:

Srry i couldnt help

Answer: 3 < w < 8

Step-by-step explanation:

If 3 is less than w you would write that as 3 < w.

Now you have 8, which is greater than w and that is written as 8 > w or w < 8.

Therefore, 3 < w < 8