GHLJ and GSTU are both parallelograms. Why is
∠L ≅ ∠T?

Parallelogram G S T U is inside of larger parallelogram G H L J. Side G S in on side G H, and side G U is on side G J.

Answer: -62.5

PLEASE GIVE BRAINLIEST THANK YOU!!!

Step-by-step explanation:

The angle RSQ = 105° and angle PQS = 78°

Given,

In the question:

In the figure,

PSR is a straight line .

To find the angle RSQ and angle PQS.

Now, According to the question;

In ΔQRS,

we know that :

Sum of angle of triangle is 180 degree.

Angle (SQR + QRS + RSQ) = 180°

In the figure,

Angle (23° + 52° + RSQ) = 180°

75° + ∠RSQ = 180°

∠RSQ = 180 - 75

∠RSQ = 105°

We have to find the ∠PQS

Now, PSR is a straight line

In Triangle PSQ

Find the ∠S

105 + ∠S = 180° (Linear Pair)

∠S = 75°

In ΔPQS

Angle(SPQ + PQS + QSP) = 180°

Angle(27° + PQS + 75° ) = 180°

∠PQS = 180 - 102

∠PQS = ∠78°

Hence, The angle RSQ = 105° and angle PQS = 78°

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Answer:

11

Step-by-step explanation:

x = 2(-x) + 33

x = -2x + 33

x + 2x = 33

3x = 33

3/3 x = 33/3

x = 11

The hotel can acquire 5 of these sets in 119/792 different ways and still expect to receive 2 of the defective sets.

As per the stated question.

You can select five television from a possible twelve in the sample space.

To acquire at least 2 faulty, therefore:

¹²C₅ = 12!/(7!)(5!) =12*11*10*9*8/(5*4*3*2*1)

¹²C₅ = 11*9*8

Obtaining two or three defective items. (At least 2).

2 defective items are-

(³C₂)(⁹C₄) = 3*9*8*7*6/(4!)

(³C₂)(⁹C₄) =9*7 =63

Three defective items equal -

(³C₃)(⁸C₂) = 1*8*7/2!

(³C₃)(⁸C₂) = 56

Total defective items is 63+56= 119 ways.

Probability = 119/(11*9*8)

Probability = 119/792

Thus, a hotel can acquire 5 of these sets in 119/792 different ways and still expect to receive 2 of the flawed sets.

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The correct graph for each of the equations are respectively;

5) Graph C

6) Graph A

7) Graph B

The general form of equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

5) We are given the linear equation as;

-9x + 3y = 0

3y = 9x + 0

y = 3x + 0

The slope is 3 and y-intercept is zero. Thus, the correct graph for this function is; Graph C

6) We are given the linear equation as;

4x - 6y = 12

Rearranging we have;

6y = 4x - 12

y = ⁴/₆x - 2

y = ²/₃x - 2

Thus, slope is 2/3 and y-intercept is -2. The correct graph is graph A

7) The correct graph of the function 25x - 10y = -50 is the graph B.

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The probability that the sum of the dice is 9 is, 4/33.

What is dice?

Dice are little, thrown-away devices with marked sides that can rest in various locations. They are frequently employed in tabletop games including dice games, board games, role-playing games, and games of chance to provide random values.

Let two fair dice are rolled.

So the possible number of outcomes are,

(1, 1)  (1, 2)  (1, 3)  (1, 4)  (1, 5)  (1, 6)

(2, 1)  (2, 2)  (2, 3)  (2, 4)  (2, 5)  (2, 6)

(3, 1)  (3, 2)  (3, 3)  (3, 4)  (3, 5)  (3, 6)

(4, 1)  (4, 2)  (4, 3)  (4, 4)  (4, 5)  (4,6)

(5, 1)  (5, 2)  (5, 3)  (5, 4)  (5, 5)  (5, 6)

(6, 1)  (6, 2)  (6, 3)  (6, 4)  (6, 5)  (6, 6)

There are total 36 outcomes.

There are 33 outcomes with sum greater than 3.

The outcomes with sum greater than 9 are, 4 which are (3, 6), (4, 5), (5, 4) and (6, 3).

Hence, the probability that the sum of the dice is 9 is, 4/33.

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Answer:34?

Step-by-step explanation: not too sure but yeah

The value of the expression when a=2 and b=7 is 41.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

From the information, the expression given is 3a + 5b and we want to find the value of the expression when a=2 and b=7.

This will be illustrated thus:

= 3a + 5b

= 3(2) + 5(7)

= 6 + 35

= 41

The value is 41.

The complete question is given below.

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Complete question

The expression given is 3a + 5b. Find the value of the expression when a=2 and b=7

The number of perennials flower from 60 flowers seen by the students with of which 70% were perennials flowers is 42.

Perennials Flowers are plants that live more than two years.

To calculate the amount of perennial flowers seen by the students, we use the techniques of percentage.

Using the formula,

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the number of perennials flower is 42.

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You can use similar triangles to find missing measures according to proportional relationships.

Similar triangles are two triangles that share these two features listed as follows:

The second feature, the proportional side lengths, is what is used to find the missing measures, as proportional relationships are built according to them.

When two triangles are similar, the equivalent side lengths have to be identified for the two triangles, and those are the sides that have the same angle measures.

Then, for the two triangles, the equivalent sides will have proportional lengths, and then these equations will involve a missing length. Then cross multiplication is applied and the equation can be solved for the missing length.

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Considering the expression in this problem, it is found that:

a) The part of the expression that gives the amount of taxes that has to be paid is: 0.096(14f).

b) The expression would be of: C(f) = 15f + 0.096(15f).

The expression for the total cost in this problem is presented as follows:

C(f) = 14f + 0.096(14f).

The meaning of each term is given as follows:

If the cost per square foot was of $15 instead of $14, the complete expression would be as follows:

C(f) = 15f + 0.096(15f).

That is, the two instances of 14 in the equation were replaced by 15.

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Answer:

option c this is no solution for the equations

Answer:

x=5 y=-8 the calc are in the photo

Answer:

TW = 16.8

Step-by-step explanation:

When two chords of a circle intersect inside the circle, then the product of the lengths of the chords of one segment equals the product of the lengths of the segments of the other chord.

Here,

TW × WS = UW × WV

TW × 30 = 18 × 28

TW = (18 × 28)/30

TW = 16.8

The value of TW is 16.8 in a circle.

The product of all the chord values of one segment, where two chords from a circle cross from within the circle, equaled the product of the chord measures of each additional segment. The value of the cord will be the distance with respect to the circle that is present in the circle.

The value of WS = 30

The value of UV = 18

The value of WV = 28

The value of TW is:

TW × WS = UW × WV

TW × 30 = 18 × 28

TW = (18 × 28)/30

TW = 16.8

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Answer:

D

Step-by-step explanation:

f(-5) = 2|-5-5|

f(-5) = 2|-10|

f(-5) = 2 * 10

f(-5) = 20

f(0) = 2|0-5|

f(0) = 2|-5|

f(0) = 2 * 5

f(0) = 10

3/3 * 3/4 is fraction of green color .

What is fraction in math?

green colored boxes = 3

blue colored boxes = 3

fraction of green = 3/3 * 3/4

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The relative risk of the disease influences this measure of effect in exposed individuals versus unexposed individuals and the prevalence of exposure in the population.

As stated, the population etiology fraction measures the disease rate in a population attributable to the exposure of interest. A measure that is primarily determined by the exposure caused by a particular disease. Therefore, it may be influenced by the relative risk of the disease in exposed individuals versus unexposed individuals, as well as the prevalence in the population of the exposure.

An epidemiological tool is the Population Attributable Risk, also called the Etiologic Fraction or Attributable Fraction. Efforts to eliminate a given risk factor would be expected to reduce the attributable risk to a specific percentage. The attributable risk of disease is calculated by combining the relative risk for a given exposure with the prevalence of the exposure in the population.

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The length of the square, given the height of the King, can be found to be 1.25 inch.

The chessboard is made such that its square length as a ratio would be 2 . 5 inches to 4 . 5 inches for the King's height.

If the King's height is 2. 25 inches, the square length of the chess board can be found by the formula:
= ( King's height x Ratio of square length ) / Ratio of King's height

Solving gives us:

= (2 . 25 x 2 . 5 ) / 4.5

= 5.625 / 4. 5

= 1.25 inches

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Based on the real number line shown below, each statement should be completed as follows:

In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.

This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).

Therefore, both -0.1525 and -1/5 would be represented by the letters that are on the left hand side of the real number line while 9/5 would be represented by a letter that is on the right hand side, which are letters b, a, and f respectively;

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By applying the SSS similarity theorem, the value of x that will make the provided triangles similar is 77.

SSS Similarity Theorem: What is it?

The SSS similarity theorem is used to determine whether or not two triangles are similar.

The side-side-side, or SSS. According to this theorem, triangles are comparable if all three sides of one triangle are proportional to the three equivalent sides of another triangle.

The first triangle's sides in the example figure are 35, 20, and 20. The second triangle has sides x, 44, and 44.

So, according to the SSS similarity theorem,

x/35 = 44/20

x =44 *35 /20

x =77

By applying the SSS similarity theorem, the value of x that will make the provided triangles similar is 77.

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Answer:28

Step-by-step explanation:

The equation of the graph given in the diagram which represents an absolute value function is: y = |x - 3| + 5.

The equation that represents the absolute value function is expressed in in vertex form as y = a|x – h| + k, here, the vertex of the graph of the absolute value function is (h, k), while the value of a determines if the graph opens up or opens down.

The point (3, 5) is the vertex of the graph, therefore:

(h, k) = (3, 5)

Plug in h = 3 and k = 5 into, y = a|x – h| + k:

y = a|x - 3| + 5

Find the value of a, by substituting the values of the coordinates of a point on the graph, (x, y) = (5, 7), into the equation y = a|x - 3| + 5:

7 = a|5 - 3| + 5

7 = 2a + 5

2 = 2a [subtraction property]

1 = a [division property of equality]

a = 1

Substitute the value of a into the equation y = a|x - 3| + 5:

y = |x - 3| + 5 [equation of the graph].

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The given alternate possible way given in the question is not good as the sample does not follow the conditions of the definition of SRS in the study.

SRS is a group or sample size of "n" objects in a population of "n" objects in which all the possible samples would have equal chances to occur or happen.

In the alternate case, There 200 trees sample is taken from near the highway, that can have fewer chances to be infected or can have more infected.

The fact that the sample was not taken randomly and has not been selected in such a way that each tree has equal chances to happen.

Hence we get the required answer.

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Answer:

that's biology but

Step-by-step explanation:

autotrophs make their owner food

heterotrophs can't make their own food

photosynthesis is the 3rd one

photosynthesis happens in the chloroplast

photosynthesis makes glucose

I can go in depth about any of these, ask me if needed

Answer:

1. y=2x+4

2. y=x

3. y=-1/2x+1

4. y=-x+1

Step-by-step explanation:

the formula for these are y=mx+b. Your slope would be m and y intercept would be b. so y=2x+4 would mean that the slope is 2 and y intercept is 4. you can find the points by checking what points are on the blue line.

Answer: (0,-2)

Step-by-step explanation: just multiply

Answer:58

Step-by-step explanation:

The value of 1/10 of 0.5 lies between 0.1 and 0.2

A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present. The use of the number is determined by the question that it corresponds to, such as when graphing a point.

Given:

Point on the number line to show the value that is 1/10 of 0.5

So, 1/10 of 0.5

= 1/10 x 0.5

= 0.05

Hence, the value of 1/10 of 0.5 lies between 0.1 and 0.2

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One can use the f-statistic to test whether the overall regression equation is statistically significant, one uses the f-statistic.

A reasonably high R-squared score makes sense if your regression model includes independent variables that are statistically significant. According to the statistical significance, shifts in the dependent variable are correlated with changes in the independent variables.

The ratio of two variances is known as an F-statistic, and it bears Sir Ronald Fisher's name. Variances gauge how widely apart the data points are from the mean. When the individual data points tend to deviate further from the mean, there are more variances.

The F-test determines that it is unlikely that all of the coefficients will equal zero by adding the predictive power of all independent variables. But it's likely that none of the variables are individually important enough to be statistically significant.

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The value of the variables x and y in each figure are 28 and 46.3 respectively.

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line.

Therefore,

5x + 40 = 180,

5x = 180 - 40

5x = 140

x = 28

Also,

(3y-1 ) and 40 are corresponding angles, thus

40 + 3y - 1= 180 ,

3y = 180 - 40 + 1

3y = 139

y = 46.3

Thus, the value of the variables x and y in each figure are 28 and 46.3 respectively.

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The extrema of the quadratic equation is at the vertex, and it is a minimum at:

y = -1.75

Here we have the following quadratic equation:

y = 3x^2 - x - 2

We can see that the leading coefficient (the coefficient in the term with the largest exponent) is positive, this means that the parabola opens upwards.

This means that the vertex of the quadratic equation will be a minimum.

Remember that for a quadratic equation:

y = a*x^2 + b*x + c

The vertex is at:

x = -b/2a

So for our quadratic, the vertex is at:

x = -1/(2*3) = -1/6

Evaluating the quadratic equation there we get:

y = 3*(-1/6)^2 - (-1/6) - 2

y = -1.75

That is the minimum of the quadratic.

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