In the diagram below lines HA and BC are parallel. If angle GEC = 135 degrees, then what is angle DEC?

PLZ HELP!! I WILL GIVE BRAINLIEST TO FIRST ANSWER! :) have a great day

Answer:

\(\huge\boxed{\sf y(3y - 4)}\)

Step-by-step explanation:

= 3y² - 4y

So,

\(\rule[225]{225}{2}\)

the largest possible number of independent vectors among v1, v2, v3, v4, v5, and v6 is 4.

To determine the largest possible number of independent vectors among v1, v2, v3, v4, v5, and v6, we can construct a matrix with these vectors as its columns and row reduce it to find its rank. Recall that the rank of a matrix is the number of linearly independent columns (or rows) in the matrix.

The matrix whose columns are v1, v2, v3, v4, v5, and v6 is:

```
[ 1  1  1  0  0  0 ]
[-1  0  0  1  1  0 ]
[ 0 -1  0 -1  0  1 ]
[ 0  0 -1  0 -1 -1 ]
```

We can row reduce this matrix to find its rank:

```
[ 1  1  1  0  0  0 ]
[ 0  1  1  1  1  0 ]
[ 0  0  1  1  1  1 ]
[ 0  0  0  1  1  1 ]
```

The row-reduced matrix has four nonzero rows, which means its rank is 4. Therefore, the largest possible number of independent vectors among v1, v2, v3, v4, v5, and v6 is 4.

Note that we can also see this by inspection, since we can see that v1, v2, v3, and v4 are linearly independent (for example, we can see that the first four rows of the matrix formed by these vectors are linearly independent), while v5 and v6 can be expressed as linear combinations of v2, v3, and v4. Therefore, the largest possible number of independent vectors among v1, v2, v3, v4, v5, and v6 is 4.
Visit to know more about vectors:-

https://brainly.com/question/10725000

#SPJ11

Answer: y=-2x+7

Step-by-step explanation:

we know that equation is y=mx+b

b=y intercept

x=the x coordinate

m=slope

y=y coordinate

then you can just fill it in from there . hope this helps

The relationship between the angle of elevation and the angle of depression between two points is that they are alternate interior angles and are equal when measured from the same horizontal line.

The angle of elevation and the angle of depression are related to each other as follows. The angle of elevation is the angle between the horizontal line and the line of sight when an observer is looking upwards to an object. The angle of depression is the angle between the horizontal line and the line of sight when an observer is looking downwards to an object.

The two angles are complementary, which means that they add up to 90 degrees. This is because the horizontal line and the line of sight form a right angle.

So, if the angle of elevation is x degrees, then the angle of depression is (90 - x) degrees, and vice versa.

To know more about angle of elevation:

https://brainly.com/question/21137209

#SPJ4

Answer:

3

Step-by-step explanation:

she will need 84 apples total so you do 84/32 and u get aroubd 2.6. You then round up to three because you can't have half a bag

Answer:

0.58

Step-by-step explanation:

58/100 = 0.58

Since hundred has two zeros, it moves forward twice and hence the decimal point ends in front of the 5 making is 0.58

The cost of one rose bush is $10 and the cost of one pot of ivy is $10.

Let's assume the cost of one rose bush is represented by "R" and the cost of one pot of ivy is represented by "I".

According to the given information:

Jaidee spent $140 on 2 rose bushes and 12 pots of ivy:

2R + 12I = 140 ...(1)

Beth spent $120 on 6 rose bushes and 6 pots of ivy:

6R + 6I = 120 ...(2)

We now have a system of two equations with two variables. To solve this system, we can use either substitution or elimination method. Let's use the elimination method.

Multiply equation (1) by 3 and equation (2) by 2 to make the coefficients of "R" in both equations equal:

6R + 36I = 420 ...(3)

12R + 12I = 240 ...(4)

Now, subtract equation (4) from equation (3):

(6R + 36I) - (12R + 12I) = 420 - 240

-6R + 24I = 180 ...(5)

Now we have a new equation (5) that relates "R" and "I".

Let's solve equations (5) and (2) together:

-6R + 24I = 180 ...(5)

6R + 6I = 120 ...(2)

Add equation (5) and equation (2):

(6R - 6R) + (24I + 6I) = 180 + 120

30I = 300

Divide both sides of the equation by 30:

I = 10

Now substitute the value of "I" into equation (2) to find the value of "R":

6R + 6(10) = 120

6R + 60 = 120

6R = 120 - 60

6R = 60

Divide both sides of the equation by 6:

R = 10

For more such questions on cost visit:

https://brainly.com/question/2292799

#SPJ8

Answer:

800 mph

Step-by-step explanation:

Use the formula: Distance/Time=Speed

Distance: 2840 miles

Time: 3.55 hours

Now Divide,  giving you the speed of 800 mph

Hope this helps!

Answer:

B

Step-by-step explanation:

the final answer is:a. 1.40 cm in the positive x-direction vector

The vector A has a y-component of 2.80 cm and a 60 degree angle with the positive x-axis.

Meanwhile, vector B has a y-component of 1.90 cm and a 60 degree angle with the negative x-axis.

Since the question only asks for the x-component of vector A, we can use the cosine function to solve for it. The cosine function can be defined as:cos θ = adjacent/hypotenuse

In this case, the adjacent side is the x-component we are trying to find, and the hypotenuse is the magnitude of vector A.

To find the magnitude of vector A, we can use the Pythagorean theorem:a^2 + b^2 = c^2where c is the magnitude of the vector.

In this case:a = x-component of vector A

b = y-component of vector A

c = magnitude of vector A

Using the given information:angle = 60 degreesy = 2.80 cmx = adjacent side = ?

a^2 + b^2 = c^2x^2 + 2.80^2 = c^2

Using trigonometry, we can solve for the magnitude of vector A:c = hypotenuse = a/cos θc = √(x^2 + 2.80^2)cos 60° = x/c√(x^2 + 2.80^2) = x/(1/2)1.732x = 0.5(1.732)x = 0.866This means that the x-component of vector A is 0.866 cm. However, we must also take into account the direction of the x-component. Since vector A makes a 60 degree angle with the positive x-axis, we can conclude that the x-component must be in the positive x-direction.

for more questions on vector

https://brainly.com/question/3184914

#SPJ11

Answer:

46.6

Step-by-step explanation:

have a good day

Answer:

555

Step-by-step explanation:

If each side of a square is 15 miles, we can find the total distance travelled by finding how many sides of squares were travelled.

You could either count the boxes, or, as I'm going to do, you could calculate the length of each straight line.

I switch between the y axis and the x axis, because we are travelling in different directions (if moving up/down we pay attention to y-axis, if moving right/left we pay attention to x-axis)

From 'Home' to the 'Restaurant', we are travelling from 6 to -7 on the grid. So, if we want to know the distance between them, we need to figure out how far apart they are. This is similar to figuring how far apart any two numbers are--we find the difference. (6) - (-7) [6 + 7] = 13. So, the amount of squares travelled from home to the restaurant is 13.

[I pay attention to the values along the x-axis for these two points because we are considering the distance along the x-axis]

[y-axis because it is vertical travel]

Restaurant (at -5) to campground (at 2) has a distance of : 7

[x-axis because it is horizontal travel]

Campground (at -7) to Rest Area (at -3) has a distance of : 4

[y-axis travel]

Rest Area (at 2) to the endpoint of that line segment (at 8) has a distance of: 6

[x-axis travel]

Endpoint of line segment (at -3) to endpoint below destination (at 3)  has a distance of : 6

[y-axis travel]

Endpoint below destination (at 8) to destination (at 9) has a distance of : 1

We can then add all of the distance travelled:

13 + 7 + 4 + 6 + 6 + 1

= 37

37 sides of boxes were travelled, so we can multiply:

37 x 15

= 555

because each box length is 15 miles.

So, the family travelled 555 miles

Answer:

2 gallons

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

If you plug in 5 for x and 3 for y then the equation would be 3(5)+5(3) or 15+15.

Answer:

V = 5cm * 2 cm * 8 cm

Step-by-step explanation:

Volume is the length times the width times the height

V = l*w*h

V = 5cm * 2 cm * 8 cm

Z-score: A Z-score, also known as a standard score, is the number of standard deviations by which the value of a raw score (i.e., an observed value or data point) is above or below the mean value of what is being measured or observed in a population.

Standard Normal Distribution: The Standard Normal Distribution is a continuous probability distribution that has a mean of 0 and a standard deviation of 1.

The solution to the given question can be found below:

Let's suppose that X is a normally distributed random variable with a mean μ = 0 and standard deviation σ = 1. We can then represent X as a standard normal random variable by applying the formula:

Z = (X - μ) / σ

Now let us find the z-score such that 20.99% of the area lies to its right.

The area under the standard normal distribution curve to the left of the z-score is

1 - 0.2099 = 0.7901.

Using the z-table or calculator, we can find the z-score corresponding to an area of 0.7901 to the left of the z-score.

The z-score is 0.86, which means that 20.99 percent of the area lies to its right.

Hence, the required z-score is 0.86.

To know more about Z-score visit:

https://brainly.com/question/31871890

#SPJ11

The total area of the blue figure is  56.25 ft².

We can decompose the figure in 3 simpler ones.

First, a rectangle of 5 ft by 10ft, the area of that is the product between the two dimensions, so we will get the area:

A = 5ft*10ft = 50ft²

And the area of a triangle of base B and height H is:

A =B*H/2

For the triangle in the left, the area is:

A' = 1ft*5ft/2 = 2.5ft²

For the one in the left we get:

A'' = 1.5ft*5ft/2 =  3.75ft².

Adding all that we will get a total area of:

T = 50ft² + 2.5ft² + 3.75ft²

T = 56.25 ft².

Learn more about area at:

https://brainly.com/question/24487155

#SPJ1

Answer:

14 = 2 x 7

28 = 2² x 7

56 = 2³ x 7

Answer:

x = -2 + sqrt(4 + 77c*m^2) cm.

Step-by-step explanation:

Let's denote the side of the square by "x".

When the strip of width 4 cm is attached to one side of the square, the resulting rectangle has dimensions of (x+4) cm by x cm.

The area of the rectangle is given by:

(x+4) * x = 77c * m^2

Expanding the left-hand side and simplifying, we get:

x^2 + 4x = 77c * m^2

Moving all the terms to one side, we get:

x^2 + 4x - 77c * m^2 = 0

Now we can use the quadratic formula to solve for x:

x = [-4 ± sqrt(4^2 - 41(-77cm^2))] / (21)

x = [-4 ± sqrt(16 + 308cm^2)] / 2

x = [-4 ± 2sqrt(4 + 77cm^2)] / 2

x = -2 ± sqrt(4 + 77c*m^2)

Since the length of a side of a square must be positive, we can discard the negative solution and get:

x = -2 + sqrt(4 + 77c*m^2)

Therefore, the length of the side of the square is x = -2 + sqrt(4 + 77c*m^2) cm.

The length of the side of the square is x = -2 + 2√(1 + 19c) cm.

The area of Rectangle is length times of width.

Let the side of the square be x cm.

When a strip of width 4 cm is attached to one side of the square, the resulting rectangle will have dimensions (x + 4) cm and x cm.

The area of the rectangle is given as 77c m² so we have:

(x + 4)x = 77c

Expanding the left side, we get:

x² + 4x = 77c

Bringing all the terms to one side, we have:

x² + 4x - 77c = 0

Now, we can use the quadratic formula to solve for x:

x = [-4 ± √(4² - 4(1)(-77c))] / 2(1)

x = [-4 ± √(16 + 308c)] / 2

x = [-4 ± √(16(1 + 19c))] / 2

x = [-4 ± 4√(1 + 19c)] / 2

x = -2 ± 2√(1 + 19c)

Since x must be positive, we take the positive root:

x = -2 + 2√(1 + 19c)

Therefore, the length of the side of the square is x = -2 + 2√(1 + 19c) cm.

To learn more on Area of Rectangle click:

https://brainly.com/question/20693059

#SPJ2

Answer:

The answer is 7 socks.

Step-by-step explanation:

To ensure one matching pair, you need to pull out 4 socks. If none of the first three match, the fourth one will guarantee a matching pair.

You will then need to pull out 3 more socks, for a total of 7 socks, to ensure two matching pairs.

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Read more about area here:https://brainly.com/question/27440983

#SPJ1

Answer:

A(7,4) B(4,-6) C(-4,3) D(-3,-4) E(5,-3) F(4,3) G(6,0) H(0,-5) I(0,5) J(-5,0) K(-6,-3) L(2,7) M(2,-2) N(5,2) P(-2,7) R(-5,-9)

Step-by-step explanation:

Just count the values

Good Luck!

Answer:

IMS aka infintely many solutions :)

Step-by-step explanation:

2x+4(x-6)=3(2x-8)

distribute

2x+4x-24=6x-24

combine like terms

6x-24=6x-24

carry across equal sign

6x=6x

carry across equal sign

0=0 aka IMS

Answer:

No solutions I think

Step-by-step explanation:

2x + 4(x -6) = 3(2x -8)

2x + 4x -24 = 6x - 24

6x - 24 = 6x - 24

-6x +24  -6x +24

0 = 0

Hopefully this helped :)

Answer:

4773,97

Step-by-step explanation:

[(18,99*859)/100]*24+859=4773,97

y=2x-3 is the answer.

Note that y=2(x+3) is the same as y=2x+6, which has a slope of 2. Any parallel line must also have a slope of 2, so the answer must be either C or D. Since option D is the same line and will have points in common with the original line, the answer is C.

The answer is A. The normal distribution in its standardized form has a mean of 0 and a standard deviation of 1. This means that the distribution is centered around 0, and the spread of the data is determined by the standard deviation of 1. This is useful in statistical analysis because it allows us to compare data from different distributions on a standardized scale.

The normal distribution is a continuous probability distribution that is often used in statistical analysis. It is characterized by a bell-shaped curve and is symmetrical around its mean. In its standardized form, the normal distribution has been transformed to have a mean of 0 and a standard deviation of 1. This transformation is achieved by subtracting the mean of the distribution from each data point and dividing by the standard deviation. This standardization allows us to compare data from different normal distributions on a standardized scale.

The normal distribution has many properties that make it useful in statistical analysis. It is often used as a model for many real-world phenomena, such as the distribution of human height, IQ scores, and many others. The normal distribution is also useful because it is well understood and has many mathematical properties that make it easy to work with.

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ11

Multiplying by 0.95 is equivalent to a decrease of 5 percent.

Let's say the number is x and we are multiplying y with x to get a decrease of 5%.

If y is multiplied with x, the resultant number is xy and it is 5% smaller than x

So, ((x - xy)/x) x 100 = 5 %

         (x - xy)/x =  0.05

Take x common from x - xy

         x(1 - y)/x = 0.05

Cancel x from deniminator and numerator

            (1 - y)/1 = 0.05

                1 - y = 0.05

                   y = 1 - 0.05

                   y = 0.95

So, when 0.95 is multiplied by x, the value of x decreases by 5%.

Hence, multiplying by 0.95 is equivalent to a decrease of 5 percent.

To learn more about percent here:

brainly.com/question/1038601

#SPJ4

Answer:

m=10

Step-by-step explanation:

–4.2 = –1.96(m − 10) + –4.2

–4.2=-1.96m+19.6-4.2

-19.6=-1.96m

m=10