PLEASE HELP!

-15 - 3w = 4w - 2w

Answer:

4/3

Step-by-step explanation:

rise is how many point up it is to the next coordinates, and run is how many points over (think of rising up and running over). rise/run makes the slope.

hopefully this helps! plz consider brainliest! :)

p.s. i put dashes to help count how many points it is from point A to point B

The statement that is always true among the given options is (3) ΔBAG ~ ΔΑΕΒ.

In the given diagram, we have AB || DFC, EDA || CBG, and EFB and AG are drawn. We need to determine which statement is always true among the options provided: (1) ADEF = ACBF, (2) ABAG = ABAE, (3) ΔBAG ~ ΔΑΕΒ, or (4) ADEF ~ AAEB.

Let's analyze each statement:

(1) ADEF = ACBF: This statement is not always true. Since AB || DFC, the angles ADE and ACB are not necessarily equal. Therefore, the corresponding angles of the quadrilateral ADEF and ACBF are not always equal.

(2) ABAG = ABAE: This statement is not always true. Although ABAG and ABAE share a common side AB, the angles AG and AE are not necessarily equal. Hence, the two triangles ABAG and ABAE are not necessarily congruent.

(3) ΔBAG ~ ΔΑΕΒ: This statement is always true. Given that AB || DFC and EDA || CBG, we can conclude that the corresponding angles BAG and ΑΕΒ are equal by alternate interior angles. Additionally, the angles BGA and BEA are equal as vertical angles. Therefore, ΔBAG ~ ΔΑΕΒ by the Angle-Angle (AA) similarity criterion.

(4) ADEF ~ AAEB: This statement is not always true. The quadrilateral ADEF and the triangle AAEB do not have a definite relationship based on the given information. We cannot determine their similarity or congruence without additional details.

In conclusion, the statement that is always true among the given options is (3) ΔBAG ~ ΔΑΕΒ.

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The AC is 18 feet long.

Triangles are primarily involved in the mid-point theorem. According to this rule, if the midpoints of any two triangle sides are connected, the line formed is parallel to the third side and equal to half of the third side. Contrarily, if a parallel line is drawn from one side's midpoint to any other, it will bisect the third side and be equal to half the side to which it is parallel.

As shown in the diagram,

AM = MB, CN = NB.

The midpoints of the sides AB and CB, respectively, are M and N.

So, according to the midpoint theorem,

MN ║ AC,

The alternative interior angle theorem demonstrates that

∠BMM ≅∠BAC

∠BNM ≅∠BCA

According to the AA similarity postulate,

ΔBMM ≅∠BAC

The characteristic of identical triangles

\(\frac{BM}{BA} = \frac{MN}{AC}\\ \frac{BM}{BM+MA} = \frac{MN}{AC}\\ \frac{4}{4+4} = \frac{9}{AC}\\ \frac{4}{8} =\frac{9}{AC} \\\)

4AC=72

AC=18 ft

As a result, AC is 18 feet long.

The complete question is:-

What is the length of the AC?

3 ft

4 ft

9 ft

18 ft

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The total cost for Cara is $15,756.86

Given that, Cara leased a convertible by making a $3,000 deposit and paying $349 per month for 36 months, and an $80 title fee and a $112.86 license fee.

We need to find the total lease cost.

(36x349) +3000+80+112.86

= $15,756.86

Hence, the total leased cost is $15,756.86.

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Answer:

23.56 length units

Step-by-step explanation:

To calculate the perimeter of a triangle, we need to calculate the length of all the sides, then sum up the lengths.

To calculate each side, we take the differences of the coordinates of consecutive vertices, square, add, and take square-root (Pythagoras theorem).

Side 1: (3,-2), (5, -8)

difference in coordinates=(2,-6), length=sqrt(2^2+6^2) = sqrt(40)

Side 2: (5, -8), (-2,1)

difference in coordinates=(7,-9), length=sqrt(7^2+9^2) = sqrt(130)

Side 2: (-2,1), (3,-2)

difference in coordinates=(5,-3), length=sqrt(5^2+3^2) = sqrt(34)

Perimeter

= sum of sides

= sqrt(40)+sqrt(130)+sqrt(34)

= 6.32+11.40+5.83

= 23.56 approximately

Answer:I think 60

Step-by-step explanation:

Answer:

60 i am positive

Step-by-step explanation:

The ways that the exercise can be expressed such that for every 6 squares there are 3 circles include:

This question is asked in Spanish on an English site so the answer will be provided in English for better learning by other students.

The ratio of squares to circles is 6:3 or simplified, 2:1. This means for every 2 squares, there is 1 circle.

You could also use a proportional statement such that the number of squares is twice the number of circles. For every 6 squares, there are 3 circles.

There is also equation form where we can say, if S is the number of squares and C is the number of circles, the relationship could be expressed as S = 2C. This means the number of squares is twice the number of circles.

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The translated question is:

How to express this exercise for every 6 squares there are 3 circles.

Answejust divide x on both terms and you left with 4x^2+3x then simple take a derivative which is 8x+3

Step-by-step explanation:

Answer:

7 feet long

Step-by-step explanation:

This set up will give a right angle triangle where;

Length of the ladder is the hypotenuse = x

The distance of the ladder to the house is the adjacent = 3 feet

Angle of elevation theta = 72 degrees

Using the CAH in trigonometry identity;

cos theta = adjacent/hypotenuse

cos 72 = 3/hyp

hyp = 3/cos72

hyp = 3/0.4258

hyp = 7.05 feet

Hence the ladder is approximately 7 feet long

Answer:

The answer is true

Step-by-step explanation:

Answer:

yes it would be

Those two angles are supplementary. It is because the sum of their measurements is 180 degrees.

Two angles are vertical angles when they are opposite each other and formed by two intersecting lines. These angles are always congruent, meaning they have the same measure.

Two angles are complementary when the sum of their measures is 90 degrees. Two angles are supplementary when the sum of their measures is 180 degrees.

In this case, since both of the vertical angles are 90 degrees, the sum of their measures is 180 degrees (90 + 90 = 180). Therefore, these two angles are supplementary.

So, the answer to the question is that if two angles are vertical angles and both are 90 degrees, they are supplementary.

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Step-by-step explanation:

r>-18 is the answer to your problem

Using proportional relationships, we can say that They will walk 12 laps and run 20 laps for a total of 32 miles.

In a direct proportional relationship, the output variable is found by the multiplication of the input variable and the constant of proportionality k, as follows:

y = kx.

Given that we know this, they walk 3/8 of the 8 miles that make up the complete distance. Run 5/8 of the route.

The following are the proportional relationships for the distances:

For a total distance of 32 miles, the distances walked and run are given:

therefore, They will walk 12 laps and run 20 laps for a total of 32 miles as per the proportional relation.

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Answer:

1/25

Step-by-step explanation:

Answer:

I think it may be 1/1225

Step-by-step explanation:

first chance is 2/50 and second chance is 1/49 as one card decrease at first. So multiplying it we get 1/1225.

After evaluating the integral using integration for √(5r²/(r+3)) dr is √5 (2√(r+3) + 3ln|r+3| + C).

To evaluate the integral:

∫ √(5r²/(r+3)) dr

we can start by using the substitution:

u = r + 3

Then, we have:

du/dr = 1, so dr = du

and

r = u - 3

Substituting these expressions into the integral, we get:

∫ √(5(u-3)²/u) du

= ∫ √(5(u² - 6u + 9)/u) du

= ∫ √(5u²/u - 30u/u + 45/u) du

= ∫ √(5u - 30 + 45/u) du

= ∫ √5(u/u - 6/u + 9/u²) du

= √5 ∫ (√u/u - 6√u/u + 9√(1/u²)) du

= √5 ∫ (1/√u - 6/√u + 9|1/u|) du

= √5 (2√u - 6ln|u| + 9ln|u| + C)

= √5 (2√(r+3) - 6ln|r+3| + 9ln|r+3| + C)

= √5 (2√(r+3) + 3ln|r+3| + C)

So, the final answer is:

∫ √(5r²/(r+3)) dr = √5 (2√(r+3) + 3ln|r+3| + C)

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Answer:b

Step-by-step explanation:y=-

Answer:

option 4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The average line shows the average of the data for a particular graph by drawing a line across the chart at the mean value points on the y-axis. By default, the average line label is displayed as a combination of line value and line title. 

Graph is a collection of data from several tables that will be presented or also displayed in the form of images, such as squares, circles, tubes, triangles, beams, cones or others. Graphics are also usually also interpreted as a framework or image that will be used to create a visualization object from data in tables with the aim of being able to provide information about a data from the material presenter to the recipient of the material.

In addition, graphs are also often interpreted as a description of the ups and downs of an existing data, or depicted by lines or pictures. The data used to create graphics can be in the form of numbers, letters, symbols, pictures, symbols, sayings, or paintings.

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Using the idea of shift identities of trigonometric graphs, we can say that an angle θ on the interval [0, 2π] satisfying the given equations are:

a) θ = π/6.

b) θ = π/12

c) The graph is attached

a) Using the shift identity for sine, we have:

sin(θ) = cos(2π/3)

sin(θ) = sin(π/2 - 2π/3)

Since sine is equal to sine of its complement, we can write that:

θ = π/2 - 2π/3

θ = π/2 - 4π/6

θ = π/2 - 2π/3

θ = π/6

So, an angle θ satisfying the equation is θ = π/6.

b) Using the shift identity for cosine, we have:

cos(θ) = sin(11π/6)

cos(θ) = cos(π/2 - 11π/6)

Since cosine is equal to cosine of its complement, we can write:

θ = π/2 - 11π/6

θ = π/2 - 22π/12

θ = π/2 - 11π/6

θ = π/12

So, an angle θ satisfying the equation is θ = π/12.

The graphs of the given functions over the interval -2π ≤ x ≤ 2π is as shown in the attached file.

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Answer:

Half of the perimeter is 300 feet.

If 100 feet are in the width, then 200 feet are in the length

Step-by-step explanation:

Perimeter is the sum of the lengths and the widths of the rectangle.

So P= l + l + w + w

perimeter is 600 and the width is 100.

so substituting in

600= 100 + 100 + l + l

600 = 200 + 2 l

solve for l

l = 200

hope this helps

Answer:

150 feet

Step-by-step explanation:

Length of playground = L + L + B + B

600 = 100 + 100 + 2L

600 = 200 + 2L

600 - 200 = 2L

300 = 2L

L = 300/2

L = 150

Therefore, the length of the playground is 150 feet.

The fraction of the students that played the trumpet is 1/6

The school band has several students

1/4 play a brass instrument

2/3 of those students play the trumpet

Therefore the fraction of students that paly the trumpet can be calculated as follows

1/4 × 2/3

= 1/6

Hence the fraction of students that play the trumpet is 1/6

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Answer:

\(\large \begin{array}{| c | c |}\cline{1-2} \sf Factors\:of\:c & \sf Sum\:of\:Factors\\\cline{1-2} 1, -22 & -21 \\\cline{1-2} -1, 22 & 21\\\cline{1-2} 2, -11 & -9 \\\cline{1-2} -2, 11 & 9 \\\cline{1-2}\end{array}\)

Step-by-step explanation:

Quadratic equation: ax² + bx + c = 0, where a ≠ 0

x² + 9x - 22

Factors of c (-22):

1 × -22     or     -1 × 22

2 × -11      or     -2 × 11

Sum of factors:

1 + (-22) = -21          or          -1 + 22 = 21

2 + (-11) = -9            or           -2 + 11 = 9

Table:

\(\large \begin{array}{| c | c |}\cline{1-2} \sf Factors\:of\:c & \sf Sum\:of\:Factors\\\cline{1-2} 1, -22 & -21 \\\cline{1-2} -1, 22 & 21\\\cline{1-2} 2, -11 & -9 \\\cline{1-2} -2, 11 & 9 \\\cline{1-2}\end{array}\)

Hope this helps!

The median of Restaurant B's food quality ratings is 4.

What is the median?

The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values.

Food Quality           Frequency           CF

        1                              3                      3

       2                              4                      7

       3                              5                     12

       4                              7                     19 ⇒ median

       5                              6                     25

Total we have 25 ratings, out of those 25 ratings 13th rating is the middle term so it will be our 4.

Thus, the median of Restaurant B's food quality ratings is 4.

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