Find the measure of each acute angle. PLEASE HELP !!

Two lines are perpendicular if the multiplication of their slopes is equal to -1.

Isolating y from the equation:

The slope of this line is 2. Therefore, the slope of the line perpendicular to this one will be:

The correct option is (d) i.e. Ellipse.

What is a Ellipse?

An ellipse can be defined as the set of all points in a plane, such that the sum of the distances from any point on the ellipse to two fixed points (called the foci) is constant. The foci are located on the major axis and are equidistant from the center of the ellipse. It is a closed curve that is symmetric about two axes, known as the major axis and the minor axis. The major axis is the longer of the two axes, while the minor axis is the shorter one.

If we slice a cylinder diagonally to its base, not through the base itself, we would get an elliptical cross-section.

This is because the cross-section of a cylinder is a circle when the cut is made parallel to the base. However, when the cut is made diagonally, the resulting cross-section is no longer a circle. It is an ellipse with its major axis perpendicular to the base and its minor axis parallel to the base.

This can be visualized by imagining a cylinder as a stack of circular disks. When a diagonal cut is made, each disk is sliced at an angle and the resulting shape of the cross-section changes from a circle to an ellipse.

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The theorems that apply are A(HL) D(SAS) E(LL)

Two triangles are said to be similar if their corresponding angles are equal and their corresponding lengths are in the same proportion.

Analysis:

The two triangles are similar according to the HL theorem since the hypotenuse of the two triangles are equal and one of the sides is same in both triangles. HL theorem applies.

The two triangles are similar according to LL theorem since the other lengths apart from the hypotenuse are also equal.

since two sides of both triangles are equal and there is an included angle 90 degree between the equal sides, the triangles are similar based on SAS.

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Answer: 26

Step-by-step explanation:

26x5=130

130+(1x3)=133

Answer:

23

Step-by-step explanation:

41-f+4=133

4f=92

f=23

The solution of the given equation is x = -2.

An equation is a mathematical statement containing two expressions on either sides which are connected with an equal to sign.

Either sides of an equation is called as left hand side and right hand side.

Given equation is,

-9x + 1 = -x + 17

We have to find the solution of the given equation.

Take the like terms together.

Subtracting one on both sides,

-9x = -x + 16

Adding x on both sides,

-8x = 16

Dividing by -8 on both sides,

x = -2

Hence the solution is x = -2.

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Answer:

18.75

Step-by-step explanation:

The missing values are derived from the graph as follows:

3 ) 7, 14, 21, 28, 35

4) 3, 7, 10, 14, 17

5) 1, 21, 10, 49, 19

In mathematics, a graph is defined as a graphical representation or diagram that organizes facts or values. The graph's points frequently reflect the relationship between two or more objects.

In order to solve for the above values, the best way is to spot the function that exists in the graph which is given as:

F(y) = 3.5x

In the first table, where x = 2

y= 3.5 *2

= 7

This iteration goes on and on and is consistent for all the values.

In the second table,

Where F(y) is known, for example 10.5, then x is derived as:

10.5 = 3.5x (divide both sides by 3.5)

x = 3

This iteration goes on and on and is consistent for all the values.

In the third table, we simply swap the values back and forth using the function F(y) = 3.5x to derive all values.

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Answer:

4.5

Step-by-step explanation:

→ Set up the direct proportion equation

z = kx

→ Substitute in the values

12 = 3k

→ Divide both sides by 3 to isolate k

4 = k

→ Substitute the value of k back into the original direct proportion equation

z = 4x

→ Substitute the value of z in

18 = 4x

→ Divide both sides by 4 to isolate x

4.5 = x

Answer:

4.5

Step-by-step explanation:

Answer:

0.6

Step-by-step explanation:

9÷15=0.6

Answer:

Step-by-step explanation:

❁ Hello! ❁

----------

m(∠EFH) + m(∠HFG) = m(∠EFG)

(5x + 1) + 62 = (18x + 11)

5x + 1 + 62 = 18x + 11

5x + 63 = 18x + 11

5x - 18x = 11 - 63

-13x = 11 - 63

-13x = -52

x = -52 ÷ (-13)

x = 4

m(∠EFH) = 5x + 1 => m(∠EFH) = 5 × 4 + 1 => m(∠EFH) = 20 + 1 => m(∠EFH) = 21°

m(∠EFG) = 18x + 11 => m(∠EFG) = 18 × 4 + 11 => m(∠EFG) = 72 + 11 => m(∠EFG) = 83°

----------

A right angle is 90°.

m(∠WXZ) + m(∠ZXY) = m(∠WXY)

(5x + 3) + (8x - 4) = 90

5x + 3 + 8x - 4 = 90

13x + 3 - 4 = 90

13x - 1 = 90

13x = 90 + 1

13x = 91

x = 91 ÷ 13

x = 7

m(∠WXZ) = 5x + 3 => m(∠WXZ) = 5 × 7 + 3 => m(∠WXZ) = 35 + 3 => m(∠WXZ) = 38°

m(∠ZXY) = 8x - 4 => m(∠ZXY) = 8 × 7 - 4 => m(∠ZXY) = 56 - 4 => m(∠ZXY) = 52°

----------

Success! ☺️

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

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Answer:7.3

Step-by-step explanation: a^2+b^2=c^2 then square root of a+b

Answer: 6.7

Step-by-step explanation:

Look closely

Answer:

Arre tum idhar sab India ke baare mai kyu puch rahe the ?¿

Step-by-step explanation:

Comment here

Answer:

See below

Step-by-step explanation:

Start out -20     and change 0° ?

then there is zero slope as this would be a horizontal line.

The equation that can be used to find r, the rate of growth per year of the world population, is \(r = (7.53 / 5.88 )^{(1/20)} - 1\).

If we assume that the growth rate of the world population was constant from 1997 to 2017, then we can use the following equation:

Population in 2017 = Population in 1997 × (1 + r)²⁰

where r is the annual growth rate, and the exponent 20 represents the number of years between 1997 and 2017.

We can rewrite this equation to solve for r:

(7.53 ) = (5.88 ) × (1 + r)²⁰

Divide both sides by (5.88 ):

(7.53 ) / (5.88 ) = (1 + r)²⁰

Take the 20th root of both sides:

\((7.53 / 5.88 )^{(1/20)} = 1 + r\)

Subtract 1 from both sides:

\(r = (7.53 / 5.88 )^{(1/20)} - 1\)

Therefore, the equation that can be used to find r, the rate of growth per year of the world population, is \(r = (7.53 / 5.88 )^{(1/20)} - 1\).

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Answer:

15 degrees lower

Step-by-step explanation:

When you are trying to find the difference between a negative and positive number, add both numbers and you will get the difference. In this case it was 15.

Sorry, math isn't my strongest suit, but i hoped this helped!

Answer:

The answer is c hopes this helps

Answer:

a. 70 gallons of water were leaked each month.

Step-by-step explanation:

Set up an equation:

Variable x = gallons leaked each month

210/3 = x/1

Cross multiply:

210 × 1 = 3 × x

210 = 3x

Divide by 3 to isolate the variable:

70 = x

The division part is only 210 ÷ 3 = x. I wrote it down this way so you can see how I came to this equation.

Check your work:

210/3 = 70/1

210 × 1 = 3 × 70

210 = 210

Correct!

Answer:

1- true

2-false

3-false

4-true

5 true

6 false

7 true

8 FALSE

Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.

If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.

The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.

In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.

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Answer:

x = -1 or x = 8/3

Step-by-step explanation:

3x² - 8 = 5x

3x² - 5x - 8 = 0

3x² - 8x + 3x - 8 = 0

(Here you find two numbers which have a sum of        -5 and a product of 3×-8= -24. These two numbers are -8 and 3. -8 + 3 = -5 and -8 × 3 = -24.)

(3x² - 8x) (3x - 8) = 0

x(3x - 8) +1(3x - 8) = 0

(x + 1) (3x - 8) = 0

x + 1 = 0     OR      3x - 8 = 0

x = -1                      3x = 8

                              x = \(\frac{8}{3}\)

Answer:

4.5 + (2 x 2.5 to the power of 2) - 6

4.5+12.5-6

17-6 = 11

(4.5+2) 2.5 to the power of 2 - 6

6.5 x 6.25 - 6

40.625 - 6 = 34.625

4.5 + 2(2.5 to the power of 2 - 6)

4.5 + 2 x 0.25

4.5+0.5+5

Answer: you would look for y and then once you have y you put it into desemos which is a graphing app and then you get your line

Step-by-step explanation: you would do +3x on both sides with out doing it to the 4y and the. You would get 4y =23+3x and then you divide everything by 4 even the 4y and then you would get y= 23/4 + 3/4x and then you put it into desemos and it will give you it graphed

Answer:

Step-by-step explanation:

This is a sequence of adding 4

So the next number is 47 51

Answer:

y = 8.7

Step-by-step explanation:

Assuming we can use decimal places, y is equal to 8.7.

In programming, += is often used as a substitute for y = y + x (example)

Therefore, y = y + 3.7, and since y = 5, y = 5 + 3.7, y = 8.7

Answer:

see explanation

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x )

The function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

When the given coordinate (x,y) are rotated rotated 90° counterclockwise about the origin, then the coordinates become (- y, x ).

R(x, y )= (- y, x )

Therefore, the function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).

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