If tan x° = 6 divided by g and sin x° = 6 divided by h, what is the value of cos x°? cos x° = h divided by g cos x° = g divided by h cos x° = gh cos x° = 6g

The other information that must prove by the triangle is that ∠A ≅ ∠X.

How do you understand "ABC" and "DEF"?

The triangles are congruent if their included sides are congruent and two of their angles match two of the other triangle's angles. applying labels Triangle ABC is congruent to triangle DEF if, in triangles ABC and DEF, angle A = angle D, angle B = angle E, and angle AB = DE.

By SAS or Side-Angle-Side Postulate, the corresponding two sides and it's included angles should be congruent.

Therefore, based on the illustration, the included angle for ∆ABC is ∠A while the included angle for ∆XYZ is ∠X.

Therefore, the other information that must prove by the triangle is that ∠A ≅ ∠X.

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On average, children gain 2 to 3 pounds per year during middle and late childhood. Children in middle and late childhood grow in height and weight at a steady pace.

Children in this stage of life generally add 2 to 3 inches in height each year and gain 2 to 3 pounds in weight each year. Children's weight gain is more noticeable in the torso and legs. Children may have weight gain spurts during these years, however, children are typically gaining weight at a constant pace.

During middle and late childhood, children's metabolism slows down, which makes them gain weight. The decrease in metabolism, which occurs in the second year of life, causes the child to consume more calories than they burn.

Furthermore, children's appetite increases as they become more active in sports and physical activities. These activities require more energy, causing the child to crave more food, especially high-calorie foods and snacks.

Additionally, children are influenced by environmental factors such as family eating habits and social settings that play a vital role in promoting healthy eating habits.

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We know that the sum of all the interior angles of the polygon with sides n is (n - 2)*180.

It is given in the question that,

Sum of all the interior angles of the polygon is 800.

Hence, according to the data given in the question, we can write,

(n - 2)*180 = 800

n - 2 = 800/180

n - 2 = 40/9

n = 40/9 + 2

n = 58/9 = 6.44

As number of sides should always be in integer form, it is not possible to have the sum of all the interior angles of the polygon to be 800 degrees.

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Answer:

z=100( being corresponding angle )

z+x = 180 ( being straight angle )

x +100 = 180

x= 80

y=x= 80 ( being alternate angle )

a=z = 100 ( being corresponding angle )

b=y = 80 ( being corresponding angle )

Answer:

5 13/20

Step-by-step explanation:

8 9/10-3 1/4

Make the denominators of the fractions the same.

8 18/20 - 3 5/20

Subtract.

8 18/20 - 3 5/20 = 5 13/20

The answer is 5 13/20.

Hope this helps!

Please mark as brainliest if correct!

Answer:

The number of ways in which the digits can be assigned in the color wheel can be determined by the permutation of 8 taken 4 since it is in circular formation and whichever comes first is not important.

number of ways = 9P4 = 3024 ways

Answer:

xy+5

Step-by-step explanation:

Answer: xy + 5

Work: So, we are going to divide everything by two. So, in the current equation, it divides everything by two, including the current two, which cancels it. So, after all the division, we get the current answer; xy + 5

I hope this helps, and Happy Holidays! :)

Answer:

x3

Step-by-step explanation:

Answer:

SA(surface area) of the rectangular prism is 1,510 in inches

Step-by-step explanation:

SA=2(lh+lw+hw)

2inch=24ft

lh=264

lw=336

wh=154

755*2=1,510

Answer:

The answer is 15!

Step-by-step explanation:

225 divided by 15 is 15! Hope this helps! :)

AB is the large segment.

AM is half of the large segment.

MB is the second half of the large segment.

AM = MB is true.

Segment AM is congruent to segment MB is true.

AB = MB is false.

The statements that are true.

-Segment AM is congruent to segment MB.

- AM = MB.

The midpoint of a line segment is given as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.

We have,

If M is the midpoint of segment AB, then the following statements are true.

- AB = 2MB

Since M is the midpoint of AB, MB is half the length of AB.

Therefore,

AB is twice as long as MB.

- AM = MB

Since M is the midpoint of AB, AM, and MB are equal in length.

This is a property of the midpoint of a segment.

Now,

Segment AM is congruent to segment MB.

Since AM and MB are equal in length (as stated in statement 2), they are congruent to each other.

Therefore,

Segment AM is congruent to segment MB with AM = MB statement being true.

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Answer:

The red marbles.

Step-by-step explanation:

It is because Red has the least amount of marbles, therefore it is most likely for you to not pull out a red marble.

Answer:

-4

Step-by-step explanation:

(-6/7) / (3/14)

-0.8571428571 / 0.2142857143

-4

\(\huge\pink{\mathbb{Answer:}}\)

The simplest form of

\( \frac{ - 6}{7} \: \div \frac{3}{4} \)

is

\(-4\)

\(\huge\color{purple}{ \colorbox{orange}{\colorbox{white} {ChaEunWoo2009}}}\)

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Answer:

A

Explanation

6-1=5

3-3=0

0+5=5

Answer:

no

Step-by-step explanation:

They are not the same because in the first example: (2,3) the 2 is on the x axis and 3 is on the y axis

In the second example: (3,2) the 3 is on the x axis and the 2 is on the y axis. Therefore the two points are not the same

Answer:

Well if its -9.1 x 0 that would mean that the answer is 0

Step-by-step explanation:

Use M A T H S P A C E its really helpful

Answer:

O1

Step-by-step explanation:

Slope intercept form is y=mx+b, where m is the slope and b is the y intercept.

We are given a point: (0,-2) and a slope; -3.

we can substitute the numbers into the equation above, with what we know, to find b.

-2=-3(0)+b

multiply

-2=0+b

-2=b

so the y intercept is -2.

Since we know that the slope is -3, and the y intercept is -2, the equation is y=-3x-2

Therefore O1 is your answer

Hope this helps!

Answer:

∠ B = 45°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

5x - 5 + 3x + 3 + 5x = 180, simplify

13x - 2 = 180 ( add 2 to both sides )

13x = 182 ( divide both sides by 13 )

x = 14

Thus

∠ B = 3x + 3 = 3(14) + 3 = 42 + 3 = 45°

Answer:

x = 27°

Step-by-step explanation:

Because of the two parallel lines, we can conclude that

corner DAB = corner FDE = 2x

In ∆DAB

Corner DAB = 2x

Corner BDA = 2x (given)

Corner ABD = 72 (given)

The sum of three corners in any trianle, adds up to 180°.

So if one corner is 72° and the other two corners are the same, then the two corners together, must be 180-72 = 108°.

For each corner that is 108/2= 54

so corner BDA = 54° and also corner DAB = 54°.

Given was BDA = 2x and BDA = 54°

so 2x = 54°

then x = 27°

cos ( y/2)  = 3√10/10 is value of trigonometric function  .

What do trigonometric functions mean?

value of trigonometric function

cos y = 4/5

    cos ( y/2)  = - 3√10/10

  cos ( y/2)  = 3√10/10

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Answer:

30 degrees

Step-by-step explanation:

So a complete circle consists of 360 degrees but we are trying to find what ADB equals so we are going to subtract BDC and ADC from 360:

BDC = 150

The graph does not say what ADC equals so we are going to look at the graph and see that ADC is half of the circle so we are going to divide 360 by 2:

360/2 = 180

So ADC equals 180, since we know what ADC and BDC equal we are going to add them together and then subtract them from 360:

180 + 150 = 330

360 - 330 = 30

So ADB = 30 degrees

Hope this helps!

Answer:

True

Step-by-step explanation:

on a number line -10 is further right than -65.

Answer:

True -10 is closer to 1 the -65

Step-by-step explanation:

Answer:

250 lunches

Step-by-step explanation:

If 24% order lunch, that means that 76% bring their lunch (100% - 24% = 76%)

We are trying to find 76% of what number is 190.  Let x stand for the total number of lunches

.76x = 190  Divide both sides by .76  76% as a decimal is .76

\(\frac{.76x}{.76}\) = \(\frac{190}{.76}\)

x = 250

Helping in the name of Jesus.

Answer:

y = 3/2x-14

Step-by-step explanation:

      The given line is y=-2/3x. So, the slope of the given line is -2/3.

Now, we have to find the perpendicular line to y= -2/3x passing through the point (4,-8).

       The product of two perpendicular lines is -1.

m1.m2 = -1.

-2/3.m2= -1

m2 = 3/2

        Now, we need to find the equation of the line passing through the point (4,-8) with slope 3/2.

The equation of slope-point form is (y-y1) = m(x-x1)

        y-(-8) = 3/2 (x-4)

        y+8 = 3/2x -6

Now, we have to add 6 on both sides.

        y + 8 + 6 = 3/2x - 6 + 6.

        y + 14 = 3/2x

        y = 3/2x - 14.

Answer: the answer is 809

Step-by-step explanation:

Answer:y intercept = 5

Step-by-step explanation:f(x)=5•(1/6)^xThe y intercept is when x =0Let x =0f(0)=5•(1/6)^0      = 5* 1     = 5The y intercept is 5If the question is f(x)=5•(1/6)xalthough I have never seen the question written this wayThe y intercept is when x =0Let x =0f(0)=5•(1/6)0      = 5* 0     = 0The y intercept is 0

The size of the largest 10%( 10th percentile) of bladder volumes among men ≈ 416.8 ml.

To find the size of the largest 10% of bladder volumes among men, we need to calculate the corresponding z-score and then use it to find the corresponding value from the standard normal distribution.

Mean bladder volume for men is 550 ml and the standard deviation is 100 ml, we can calculate the z-score using the formula:

z = (x - μ) / σ

where x is the desired value, μ is the mean, and σ is the standard deviation.

To find the z-score for the 10th percentile (largest 10%), we can use the inverse standard normal distribution function (also known as the quantile function or the percent-point function).

This function gives us the z-score corresponding to a given percentile.

Using a statistical software or calculator, we can find the z-score corresponding to the 10th percentile (0.10).

Let's assume the z-score is denoted as z10.

We can calculate the corresponding value in milliliters (x10) using the formula:

x = μ + z * σ

Substituting the values for men:

μ = 550 ml

σ = 100 ml

percentile = 0.10

Using the software or calculator, we find that the z-score corresponding to the 10th percentile (largest 10%) is approximately -1.282.

Now, we can calculate the size of the largest 10% of bladder volumes among men (x10):

x10 = μ + z10 * σ

x10 = 550 + (-1.282) * 100

x10 ≈ 416.8 ml

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the sample proportion is approximately 0.594.To compute the sample proportion, we need to divide the number of individuals in the category of interest by the total sample size.

In  this case, population there were 38 individuals in the category of interest, and the sample size was 64. Therefore, the sample proportion is:

p = 38/64

p = 0.59375

Rounding to three decimal places, we get:

p ≈ 0.594

So, the sample proportion is approximately 0.594.

The sample proportion is an estimate of the population proportion, which tells us the proportion of individuals in the entire population that belong to the category of interest. The larger the sample size, the more accurate the estimate is likely to be. We can use the sample proportion to construct a confidence interval for the population proportion or to test hypotheses about the population proportion.

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Given,Total = 44 + 41 = 85.The percentage of the 8th graders who estimated they spend less than an hour a day on social media can be found using the following steps:

Step 1: Determine the number of students who spend less than an hour a day on social media. From the table given, it is known that 26 of the 7th graders and 18 of the 8th graders spend less than an hour a day on social media. Therefore, the total number of students who spend less than an hour a day on social media = 26 + 18 = 44.

Step 2: Calculate the percentage of 8th graders who spend less than an hour a day on social media. The number of 8th graders who spend less than an hour a day on social media is 18.Therefore, the percentage of 8th graders who spend less than an hour a day on social media = (18/85) × 100% ≈ 21.2%.Therefore, the percent of the 8th graders estimated they spend less than an hour a day on social media is 21.2%, rounded to the nearest tenth of a percent.

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(a) Average-Value of "f" on [4, 7] is 1,

(b) The values of "c" such that f(average) = f(c), are c = 4 or c = 6.

Part (a) : To find the average value of "f" on the interval [4, 7], we need to calculate definite integral of f(x) over that interval and divide it by the length of the interval.

The definite integral of f(x) over the interval [4, 7] is calculated as :

∫₄⁷ (x - 5)² dx = [(x - 5)³/3] evaluated from 4 to 7

= [(7 - 5)³/3] - [(4 - 5)³/3]

= [2³/3] - [(-1)³/3]

= 8/3 + 1/3

= 9/3

= 3

The length of the interval [4, 7] is 7 - 4 = 3,

So, average value of "f" on interval [4, 7] is 3/3 = 1.

Part (b) : To find "c" such that f(average) = f(c), we equate "average-value" of "f" from part (a) equal to f(c) and solve for c.

f(average) = f(c)

1 = (c - 5)²

√1 = √((c - 5)²)

1 = |c - 5|

⇒ Case(i) : 1 = c - 5

c = 6

⇒ Case(ii): 1 = -(c - 5)

-1 = -c + 5

c = 4

Therefore, the two possible values for c are : c = 4 or c = 6.

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The given question is incomplete, the complete question is

Consider the given function and the given interval. f(x) = (x − 5)², [4, 7]

(a) Find the average value of f on the given interval,

(b) Find c such that f(average) = f(c).