Please help me with all of them please?

Answer:

0.25y + 6y

Step-by-step explanation:

multiple everything in the brackets by y

Based on the given information, we cannot prove that △EFG and △KLM are similar using the SSS or SAS similarity theorems. The correct answer is option D) No, they cannot be proven similar by SSS or SAS.

To determine if the triangles △EFG and △KLM can be proven similar using the SSS (Side-Side-Side) or SAS (Side-Angle-Side) similarity theorems, we need to compare their corresponding sides and angles.

SSS Similarity Theorem states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

SAS Similarity Theorem states that if two corresponding sides of two triangles are proportional, and the included angles are congruent, then the triangles are similar.

Let's examine the given information:

Side lengths of △EFG: EF = 18, EG = 24, FG = 15.

Side lengths of △KLM: KL = 6, KM = 8, LM = 5.

By comparing the side lengths, we can see that they are not proportional. For example, the ratio of EF/KL is 18/6 = 3, while the ratio of EG/KM is 24/8 = 3. Therefore, the corresponding sides of △EFG and △KLM are not proportional, which means we cannot establish similarity using the SSS theorem.

Now, let's consider the SAS theorem. For this, we also need to compare the included angles.

Angles of △EFG: ∠EFG, ∠EFG, ∠EGF.

Angles of △KLM: ∠KLM, ∠KML, ∠KLM.

The given information states that ∠EFG and ∠KLM are congruent. However, we don't have any information about the other angles. Without knowing the congruency of the remaining angles, we cannot establish similarity using the SAS theorem

Option D.

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Answer: Its C

Step-by-step explanation:

Answer:

(a^2+2)(a+2)

Step-by-step explanation:

Factor a^3+2a+2a^2+4.

Using Factoring by grouping

a^3+2a   +    2a^2+4

Factor out a from the first two terms and 2 from the last two terms.

a( a^2 +2) + 2 ( a^2+2)

Factoring out a^2+2.

(a^2+2)(a+2)

The inequality that can be used to represent the number of doll Johnny can buy is x ≤ 10.61

Johnny is budgeting for his trip to the toy store.  He does not want to spend more than $80 on Christmas presents.

He wants to buy a toy car that costs $32.25 and some dolls that cost $4.50 each. The number of dolls he can buy can be represented with the inequality as follows:

let

x = number of dolls

Therefore,

4.50x + 32.25 ≤ 80

subtract 32.25 from both sides of the inequality

4.50x + 32.25 ≤ 80

4.50x + 32.25 - 32.25 ≤ 80 - 32.25

4.50x ≤ 47.75

divide both sides by 4.50

4.50x/ 4.50 ≤ 47.75 / 4.50

x ≤ 10.6111111111

x ≤ 10.61

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The value of y when x = 17 is 2.80 .

Given,

y varies inversely as the square of x

we know that

If y varies inversely as the square of x

then

the equation is equal to

yx² = k

where

k is the constant of proportionality

step 1

Find the constant k

For y=10, x=9

substitute the given values

10 * 9² = k

k = 810

Thus,

we have the equation,

yx² = 810

step 2

Find the value of y when the value of x=17

substitute in the equation

y * 17² = 810

y = 2.80

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Answer:

480

Step-by-step explanation:

u multiply 10x6x8=480

Answer:

o.593

Step-by-step explanation:

The required value of the decimal equivalent of the given fraction is 0.592.

A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.

The number a is called as the numerator and b is the denominator.

If the fractions have the same denominators then their numerators are added keeping the denominators as the same.

For fractions with different denominators the LCM of the denominators are taken then that is divided by the numerators of each fraction and the number obtained is multiplied to each of them to get the equivalent fraction.

The given fraction is 16/27.

In order to convert it into decimal divide 16 by 27 upto 3 decimal places to obtain,

16/27 = 0.592

Hence, the given fraction 16/27 can be written as decimal as 0.592.

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Answer:

x < -1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

\(x + 3xy \\ x = 2 \\ y = - \frac{1}{2} \)

Substitute the values into the equation

\(2 + 3(2)( - \frac{1}{2} ) \\ 2 + 6( - \frac{1}{2} ) \\ 2 - 3 \\ = - 1\)

Answer:

3x^2+5x+8

Step-by-step explanation:

the perimeter is the sum of the sides

p=a+b+c+d

p=x^2+4x+8+2x^2+x

p=3x^2+5x+8

Answer:

54°

Step-by-step explanation:

All the angle measures of a triangle must add up to equal 180°. So,

59°+67°+x°=180°

x=54°

Answer:

The answer is "Option B".

Step-by-step explanation:

The difference between most time and also the least spending time on Internet surfing is 3 hours. Since we do not have charts for tables etc., only 3 can be used we need. A range is defined as the difference between the largest and the smallest amounts. The range between both the largest as well as the smallest is unique. In this reply, it tells us that the gap between most time and the fewer hours invested surfing the web is 3 hours.

The answer is B

The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours.

This answer is proven 100% correct.

Hope this helps!

Answer:

20mph

Step-by-step explanation:

because you have to divide 240 by 12 and the answer is 20

Answer:

6t + 909

Step-by-step explanation:

t - tutor (hours)

101 - t = waitress (hours)

$15t + $9(101-t) = 15t + 909 - 9t

6t + 909

Answer:

Step-by-step explanation:

For obects already in motion, the distance travelled, s, is:

s = vi*t + (1/2)at^2

where vi is the initial velocity, a is the acceleration, and t is the time in seconds.

We want the time, t, to reach 1000 meters.

1000 m = (3 m/s)*t + (1/2)*(0.1m/s^2)*(t^2)

(1/2)*(0.1m/s^2)*(t^2) = 0.05t^2

0.05t^2 + 3t -1000 = 0

Solve quadratic equation:

t = 114.6 seconds

The point that splits the segment AB into a ratio of 2:5 is (-6, 3).

To find the point that splits segment AB into a ratio of 2:5, we can use the concept of a weighted average.

The x-coordinate of the point is found by taking 2 parts of B's x-coordinate and 5 parts of A's x-coordinate and summing them, then dividing by the total parts (2+5=7).

Similarly, the y-coordinate is found by taking 2 parts of B's y-coordinate and 5 parts of A's y-coordinate, then dividing by the total parts.

For point A (-10, 1) and B (4, 8), the calculations would be as follows:

x-coordinate: (2 * 4 + 5 * -10) / 7 = (8 + -50) / 7 = -42 / 7 = -6

y-coordinate: (2 * 8 + 5 * 1) / 7 = (16 + 5) / 7 = 21 / 7 = 3

Among the given points, only (-6, 3) matches the calculated coordinates. Therefore, (-6, 3) is the point that splits segment AB into a ratio of 2:5.

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We can conclude that the image of the open unit ball \(B_1(0)\) under the operator \(I\) is not an open set in \(Y\), which proves that \(\(I: X \rightarrow Y\)\) is not an open map.

To prove that the linear operator \(\(I: X \rightarrow Y\)\) is not an open map, where \(\(X = (l^\prime, \| \cdot \|_1)\)\)and \(\(Y = (l^\prime, \| \cdot \|_\infty)\)\) we need to show that there exists an open set in \(X\) whose image under \(I\) is not an open set in \(Y\).

Let's consider the open unit ball in \(X\) defined as \(\(B_1(0) = \{ f \in X : \| f \|_1 < 1 \}\)\). We want to show that the image of this open ball under \(I\) is not an open set in \(Y\).

The image of \(B_1(0)\) under \(I\) is given by \(\(I(B_1(0)) = \{ I(f) : f \in B_1(0) \}\)\). Since\(\(I(f) = f\)\) for any \(f \in X\), we have \(I(B_1(0)) = B_1(0)\).

Now, consider the point \(\(g = \frac{1}{n} \in Y\)\) for \(n \in \mathbb{N}\). This point lies in the image of \(B_1(0)\) since we can choose \(\(f = \frac{1}{n} \in B_1(0)\)\)such that \(I(f) = g\).

However, if we take any neighborhood of \(g\) in \(Y\), it will contain points with norm larger than \(1\) because the norm in \(Y\) is the supremum norm \((\(\| \cdot \|_\infty\))\).

Therefore, we can conclude that the image of the open unit ball \(\(B_1(0)\)\)under the operator \(I\) is not an open set in \(Y\), which proves that \(\(I: X \rightarrow Y\)\) is not an open map.

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Answer:

a. 3/4  b. 27

Step-by-step explanation:

We know 25% percent are blooming, since 100-25 = 75, 75% aren't blooming.

Since 1 / 4 = 0.25, 3/4 = 0.75, so for question a. 3/4 of the plants aren't blooming.

For question b, we know there are three dozen plants, which is 3 * 12 = 36 plants.

75% of 36 = 36 * 0.75 = 27 plants aren't blooming.

When both countries produce at full employment, Country A should focus on producing computers, and Country B should focus on producing steel. This arrangement allows them to maximize their resources and benefit from trade.

Based on the given production alternatives for countries A and B, the correct statement regarding their production of computers and steel at full employment is:

"Country A has a comparative advantage in producing computers, while Country B has a comparative advantage in producing steel."

Here's a step-by-step explanation:

1. Calculate the opportunity cost for each country:
- Country A: To produce 1 computer, they give up 1 unit of steel (100 computers = 100 units of steel).
- Country B: To produce 1 computer, they give up 4 units of steel (20 computers = 80 units of steel).

2. Identify the comparative advantage:
- Country A has a lower opportunity cost for producing computers (1 unit of steel), so they have a comparative advantage in computer production.
- Country B has a higher opportunity cost for producing computers but a lower opportunity cost for producing steel, so they have a comparative advantage in steel production.

Thus, when both countries produce at full employment, Country A should focus on producing computers, and Country B should focus on producing steel. This arrangement allows them to maximize their resources and benefit from trade.

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Answer:

Sorry, you didn't attach an image.

Step-by-step explanation:

Good luck with your test!

Answer:

Hello There. ☆°~-----__▪●▪__-----~°☆

If points A, D and C lie on a straight line, then angles ∠ADB and ∠BDC are supplementary angles and

m\angle ADB+m\angle BDC=180^{\circ}.

1. If you move point B right from the initial position, then m∠ADB increases and m∠BDC decreases, but m\angle ADB+m\angle BDC=180^{\circ}.

2. If you move point B left from the initial position, then m∠ADB decreases and m∠BDC increases, but m\angle ADB+m\angle &#10;BDC=180^{\circ}.

3. When point B lie on the line ADC, then:

a. Point B lies on the right hand from point D: m\angle ADB=180^{\circ} \\m\angle BDC=0^{\circ} ;

b. Point B lies on the left hand from point D: m\angle ADB=0^{\circ} \\m\angle BDC=180^{\circ} .

4. When point B is reflected about the line ADC situation is the same as in parts 1 and 2.

Hope It Helps!~ ♡

ItsNobody~ ☆

Answer:

The sum of m∠ADB and m∠BDC remains the same: m∠ADB + m∠BDC = 180°.

Step-by-step explanation:

PLATO answer.

The given information states that AD is the angle bisector. An angle bisector is a line or ray that divides an angle into two congruent angles. In this case, AD divides the angle into two equal parts.

Angle bisectors have several properties. One important property is that they divide the opposite side of the triangle into segments that are proportional to the adjacent sides. This property is known as the Angle Bisector Theorem.

The Angle Bisector Theorem states that if AD is the angle bisector of angle A in triangle ABC, then the ratio of the lengths of the segments formed by the angle bisector is equal to the ratio of the lengths of the adjacent sides. In other words, AB/BD = AC/CD.

Another property of angle bisectors is that they are concurrent. This means that the three angle bisectors of a triangle intersect at a single point called the incenter. The incenter is the center of the circle that can be inscribed inside the triangle.

Angle bisectors also have geometric applications. For example, they can be used to find the length of a side or the measure of an angle in a triangle when certain other lengths or angles are known.

In summary, an angle bisector is a line or ray that divides an angle into two congruent angles. It has properties such as dividing the opposite side of a triangle proportionally and being concurrent at the incenter. Angle bisectors have applications in geometry and can be used to find unknown lengths or angles in a triangle.

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The value of the missing length is 48

Using the Pythagorean theorem, we have that;

a² = b² + c²

Given that the parameters are;

Substitute the values, we get;

80² = 64² + c²

Find the squares

6400 - 4096 = c²

substract the values

c² = 2304

find the square root

c = 48

Hence, the value is 48

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The point (20, 195°) can be represented in polar coordinates using two different polar ordered pairs: (20, 195°) and (-20, 15°).

To describe the point (20, 195°) in polar coordinates, we can represent it using two different polar ordered pairs. In polar coordinates, a point is described by its radial distance from the origin (r) and the angle (θ) it makes with the positive x-axis.

(20, 195°):

The first polar ordered pair for the point (20, 195°) is (20, 195°). This representation directly matches the given coordinates, where the radial distance is 20 units and the angle is 195°.

(-20, 15°):

The second polar ordered pair can be obtained by adding or subtracting 180° from the given angle (195°) and changing the sign of the radial distance. In this case, we subtract 180° from 195° and obtain 15°. The negative sign is applied to the radial distance to indicate the opposite direction from the positive x-axis.

Therefore, the second polar ordered pair for the point (20, 195°) is (-20, 15°).

In summary, the point (20, 195°) can be represented in polar coordinates using two different polar ordered pairs: (20, 195°) and (-20, 15°). The first pair directly matches the given coordinates, while the second pair is obtained by subtracting 180° from the given angle and changing the sign of the radial distance.

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The class that lost the most pencils overall based on the data displayed is D. Mr. Johnson's class; it has a wide spread in the data

The answer is Mr. Johnson's class. The median is the middle value in a set of data. In Mr. Johnson's class, the median is 11 pencils. This means that half of the students in his class lost 11 or fewer pencils, and half of the students lost 11 or more pencils.

In Mr. Simpson's class, the median is 14.5 pencils. This means that half of the students in his class lost 14.5 or fewer pencils, and half of the students lost 14.5 or more pencils.

Since the median for Mr. Johnson's class is lower than the median for Mr. Simpson's class, we can conclude that Mr. Johnson's class lost more pencils overall.

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One side of triangle is given equilateral triangle which means all the angles of the triangle is 60°

so we have angles of bigger triangle:-

( sum of all interior angles is 180°)

\(x + 60 + 95 = 180 \\ x = 180 - 60 - 95 \\ x = 120 - 95 \\ x = 25 \degree\)

Answer:

The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106

A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.

Rectangles' essential characteristics are as follows:

A rectangle is a parallelogram.

The Perimeter of the rectangle is 2a + 2b where a and b are the two sides

Now , if w is the width of the rectangle then, the length is 4w given in problem.

Perimeter,

2w + 2* 4w

As it is given in the problem

2w + 2* 4w ≤ 106

The first model of inequality satisfy the problem.

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