لیا
Use the drawing tools to form the correct answer on the graph.
Graph the line that represents this equation:
y + 2 = (x+2)
Drawing Tools
Select
Point
Line
P
K
Click on a fool to begin drawing.
17
-10
-8
-6
-4
4
10-
8
06000
Undo
Resef

The value of x is 60

The complete question is added as an image

From the image, we have:

ABD = 30

DBC = x

The sum of complementary angles is 90.

So, we have:

30 + x = 90

Subtract 30 from both sides

x = 60

Hence, the value of x is 60

Read more about complementary angles at:

https://brainly.com/question/16281260

#SPJ1

Answer:

D. 11.8 cm

Step-by-step explanation:

This triangle is a 30°-60°-90° triangle. There is a shortcut to find the lengths of the sides of a 30°-60°-90° triangle. The longest side is the hypotenuse. The longest side is double the shortest side or, the shortest side is half the longest side. Here the longest side is 5, so the short leg (shortest side) is 2.5

The other shortcut is that the longer leg is the

short leg×sqroot3

Here, the short leg is 2.5, so the long leg is 2.5×sqroot3

Perimeter is all the sides added together.

5 + 2.5+ 2.5×sqrt3

Do the times first.

5 + 2.5 + 4.3

= 11.8

Answer:

(8×6)+8-3

48+8-3

53

Step-by-step explanation:

please mark me as brainlest

The number of  ways that he can make the fruit salad if it must contain watermelon is 35.

Selection of the one object from the given samples with replacement or without replacement is called as the permutation. The selection of the items from the sample as they are different with each other.

The salad contains water melon, now we have to select 4 more fruits out of 7.

Using combination

[tex]^{n{C}_r[/tex] = n! / r! (n-r)!

[tex]^{7}C_4[/tex] = 7!/ 4! (7-4)!

      = 7*6*5*4! / 4! * 3*2

      = 35

Hence,  number of ways that he can make the fruit salad if it must contain watermelon is 35.

Learn more about Permutation and combination here:

brainly.com/question/11732255

#SPJ1

Answer: 35 on edge got it right

Step-by-step explanation:

Answer: No solution

Step-by-step explanation:

Ths lines are parallel (as they have the same slope but different y-intercepts), and parallel lines never intersect. Thus, the system has no solutions because the lines never intersect.

The measure of the unknown angle are; a) x = 89 degrees, b) p = 92 degrees.

For a regular polygon of any number of sides, the sum of its exterior angle is 360°.

We already know that a 4-sided polygon's angles add up to 360 degrees.

So to find the value of x:

69 + 118 + 84 + x = 360

x = 360 - (69 + 118 + 84)

x = 89 degrees

b)

For a 4-sided polygon, we also know that the outside angles add up to 360 degrees.

So to find the value of p:

100 + 62 + 106 + p = 360

p = 360 - (100 + 62 + 106)

p = 92 degrees

Learn more about interior angles of a regular polygon here:

https://brainly.com/question/14173422

#SPJ1

Answer:

25

Step-by-step explanation:

Because 100 25+25+25+25 or 25/1/4

The general term for the arithmetic sequence is aₙ = 3 + 3n

The general term of an arithmetic sequence is as follows:

aₙ = a + (n - 1)d

where

Therefore,

a = 6

d = 9 - 6 = 3

aₙ = 6 + (n - 1)3

aₙ = 6 + 3n - 3

aₙ = 3 + 3n

learn more on arithmetic sequence here:https://brainly.com/question/24453114

#SPJ1

The correct answer is option 3 which is the third graph showing the correct locations of the points on the coordinate plane.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The graph in option third is showing correct points on the x-y plane which are ( -4,3) and ( 1,-2).

-4 is along the negative x-axis and 3 is along the positive y-axis similarly to the second point positive 1 is along the x-axis and negative 2 is along the y-axis.

Therefore the correct answer is option 3 which is the third graph showing the correct locations of the points on the coordinate plane.

To know more about graphs follow

https://brainly.com/question/25020119

#SPJ1

The statement "when 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a scalar of the complex number." is correct.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number:

= 6 + 4i

Multiplied by 3:

= 18 + 12i

If we plot on the coordinate plane there will be no rotation the scalar has changed by multiplying with a real number.

Thus, the statement "when 6 + 4i is multiplied by 3, the result is 18 + 12i. Graphically, this shows that the product is a scalar of the complex number." is correct.

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

Considering it's horizontal asymptote, the statement describes a key feature of function g(x) = 2f(x) is given by:

Horizontal asymptote at y = 0.

They are the limits of the function as x goes to negative and positive infinity, as long as these values are not infinity.

Researching this problem on the internet, the functions are given as follows:

The limits are given as follows:

[tex]\lim_{x \rightarrow -\infty} g(x) = \lim_{x \rightarrow -\infty} 2(2)^x = \frac{2}{2^{\infty}} = 0[/tex]

[tex]\lim_{x \rightarrow \infty} g(x) = \lim_{x \rightarrow \infty} 2(2)^x = 2(2)^{\infty} = \infty[/tex]

Hence, the correct statement is:

Horizontal asymptote at y = 0.

More can be learned about horizontal asymptotes at https://brainly.com/question/16948935

#SPJ1

Answer: 1/3 (if you have other questions like these you can use a slope calculator)

The measure of the angle x is 117 degrees

To determine the value of x in the given diagram, we will use the alternate angles theorem

The value of x is expressed as shown;

p + q= x

If the value of p = 51, then;

51 + q. = x

Determine the value of. q

q = 108 - 42

q = 66

Determine the value of x

x = 66 + 51

x = 117 degrees

Hence the measure of the angle x is 117 degrees

Learn more on angles here: https://brainly.com/question/25716982

#SPJ1

Answer:

f(x) = 7.5x

Step-by-step explanation:

you can find the slope by using the slope formula (y2-y1)/(x2-x1). you can use any of the values but for this example I'll be using (2, 15) and (4, 30).

(30-15)/(4-2) = 15/2 = 7.5.

now we can use one of the coordinates to find the y-intercept by plugging the known values in the equation y=mx+b where m is the slope and b is the y-intercept.

for this example I'll be using (2, 15) but you could use any of the values you gave.

15 = 7.5(2) + b

15 = 15 + b

0 = b

so now we have the function rule

f(x) = 7.5x + 0 or just f(x) = 7.5x

The probability of selecting a person with a name that starts with S or a boy is [tex]\frac{5}{8}[/tex]

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

Given that, a club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel)

To find P(S-name U Boy), that is the probability of selecting a person whose name starts with S or boy.

n(S-name U Boy) = 5   {2 girls (Sarah, Suzie), 3 boys( Kevin, Steve and Samuel )}

Number of favourable outcomes=5

Total number of outcomes=5+3=8

P(S-name U Boy) [tex]=\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

[tex]=\frac{5}{8}[/tex]

Therefore, the probability of selecting a person with a name that starts with S or a boy is [tex]\frac{5}{8}[/tex].

To learn more about probability visit:

https://brainly.com/question/11234923.

#SPJ1

Answer:

12 and 18

Step-by-step explanation:

Lets say the two numbers are A and B, with A the smaller.

We are told that A/B = 2/3     [in the ratio of 2 to 3]

We also find that A + B = 30  [Their sum is 30]

Rearrange the first equation to isolate A:

A/B = 2/3

A = 2B/3        [multiply both sides by B]

Now use this value of A in the second equation:

A + B = 30

2B/3 + B = 30

(2/3)B + (3/3)B = 30

(5/3)B = 30

B = (30)(3/5)

B = 6*3

B = 18

Since A + B = 30:

A + B = 30

A + 18 = 30

A = 12

A is 12 and B is 18

===================

Check:

Does A/B = 2/3??

(12/18) = (6/9)

(6/9) = (2/3)   YES

Does A + B = 30  ???

12 + 18 = 30   YES

All three are possible.

The table tells us that for certain x and y, we have f(x) < f(y) if x < y. There's also no evidence that f(x) = f(y) for some points x ≠ y in the interval, so f(x) could easily be monontonically increasing. (I is true)

If we assume f(x) is strictly increasing (which does not contradict the given table) on the entire interval, we have f'(x) > 0. A positive function can be strictly increasing. (II is true)

A function is concave up on an interval if its derivative is increasing on that interval. This follows from statement (II) if it happens to be true. (III is true)

(E)

Answer: D

Explanation:

Since we don't know the y-value of the vertex, let's do this an easy way: plugging in.

Let's use the y intercept since that would be the easiest. Since x=0, the terms with x cancel, and you will get a leading result of -5

A) results in 2, so eliminate it

B) results in -2, so eliminate it

C) results in 5, so eliminate it

D) results in -5, so keep it

Since D was the only one that worked, that is our correct answer.

Gracie’s overtime rate of pay would be $635.06.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Gracie earns 17.25/h for a 37.5h week, plus extra for overtime.

For one hour she earns $17.25

For 37.5h she earns = 37.5h x 17.25

                                   = $646.87

The total money she earns = $646.87 + overtime pay

During store inventory, she worked 48.5h. Her gross earnings were $1,471.88.

= 48.5h x 17.25

= $836.625

So, $836.625 + overtime pay = $1,471.88

overtime pay = $1,471.88 - $836.625 = $635.06

Hence, Gracie’s overtime rate of pay would be $635.06.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ1

Using the normal distribution, the probabilities are given as follows:

a. 0.4602 = 46.02%.

b. 0.281 = 28.1%.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The parameters are given as follows:

[tex]\mu = 959, \sigma = 263, n = 37, s = \frac{263}{\sqrt{37}} = 43.24[/tex]

Item a:

The probability is one subtracted by the p-value of Z when X = 984, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{984 - 959}{263}[/tex]

Z = 0.1

Z = 0.1 has a p-value of 0.5398.

1 - 0.5398 = 0.4602.

Item b:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{984 - 959}{43.24}[/tex]

Z = 0.58

Z = 0.58 has a p-value of 0.7190.

1 - 0.719 = 0.281.

More can be learned about the normal distribution at https://brainly.com/question/4079902

#SPJ1

12:25 is also the same as 12/25 (in the fractional form!)

hope this helps, have a great day/night/afternoon!! Don't forget to mark me the brainliest if this ever helps you!

In order to make point D as the vertex in the construction as triangle ABC, the third arc should cross the second arc.

In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value.

In order to make point D as the vertex in the construction as triangle ABC, you must ensure that the third arc crosses the second arc as illustrated in image attached below.

Read more on arc here: https://brainly.com/question/20594692

#SPJ1

Answer: The third arc should cross the second arc.

Step-by-step explanation: The guy above me clearly stated it, just wanted to clear up that he is correct :)

Answer: They're equal to each other yes corresponding parts of congruent triangles are equal

Step-by-step explanation:

Elaine saw statistics showing that union employees make an average of 30 percent more than nonunion workers, so when she was looking for a new job, she looked for one at a company that was unionized. Elaine was motivated by Economic needs.

By economic need Elaine is trying to get a company that would pay her more. Hence the need to go for the Unionized company.

This is given that the Unionized company is said to earn more than the other company. Hence her motivation is due to her economic needs.

Read more on economic needs here:

https://brainly.com/question/17889008

#SPJ1

Answer:

Step-by-step explanation:

In the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

In the first diagram:

The sum of the 5k + 20 and 7k + 40 is 180

5k + 20 + 7k + 40 = 180

12k + 60 = 180

12k = 180 -60

12k = 120

k = 10

In the second diagram:

The sum of the two interior angles is equal to the exterior angle.

40 + 12k + 10 = 8k + 80

4k = 30

k = 30/4 = 15/2

Thus, in the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

The amount of the markup is $48 + $48 (0.55) .

Option (C) is correct .

Mark up refers to the value that a player adds to the cost price of a product. The value added is called the mark-up. The mark-up added to the cost price usually equals retail price.

As given

An item is purchased for a wholesale price of $48 and will be sold at a 55 percent markup.

55% is written in the decimal form .

                                              = 55/100

                                              = 0.55

Markup price = 0.55 × wholesale price of item .

                      = 0.55 × $48

                     = $48 (0.55)

Price of item after markup = Wholesale price of item + Markup price

                                           = $48 + $48 (0.55)

Thus, the amount of the markup is $48 + $48 (0.55) .

Option (C) is correct .

Learn more about Markup price from:

https://brainly.com/question/11999225

#SPJ1

Answer:The answer is A

Step-by-step explanation:

Edg 2022 (sometimes the verified ones are wrong)

Answer:

19/54

Step-by-step explanation:

- 7/27 + 11/18

LCM of the 27, 18 is 54

- 7/27 * (2/2) + 11/18 * (3/3)

- 14/54 + 33/54

33 - 14/54

19/54

please mark me brainlist