‘‘3 more than the product of 7 and a number x is less than 24’’.
Write an inequality for the statement above . find the solution for x.

Answers

Answer 1

Answer:

the inequality is 3+7(x)<24

x=x < 3 2/7

Step-by-step explanation:

because...

3 + 7x < 26

7x < 23

x < 23/7

x < 3 2/7


Related Questions

Von mixes tomato sauce and milk to make soup. First he puts 150 milliliters of
tomato sauce in a pot. Next he adds the milk that is in the measuring cup. How
many milliliters of soup does he make?
A. 400 milliliters
B. 460 mill
C. 350 mill
D. 500 mill

Answers

Answer:

500 milliliters or ml

Step-by-step explanation:

First, we find the amount of milk is in the measuring cup which is 350 ml  and then add 350 ml of milk to the 150 ml of tomato sauce to get 500 ml.

Hope it helped :)

The amount of soup made by Von is equal to 500 milliliters. Hence, option D is correct.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the data given in the question,

Von mixes tomato sauce and milk to make soup.

Initially, the amount of tomato sauce added in the pot = 150 milliliters.

Then, milk is added that is in the measuring cup that is 350 milliliters.

So,

The total amount of soup made by him,

= 150 + 350

= 500 milliliters.

To know more about arithmetic operations:

https://brainly.com/question/25277954

#SPJ5

I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!
I NEED HELP PLEASE!!!!

Answers

Answer:

B is correct

You can double check it! :)

Hope this helps!

Tips:

Select a condition, check the 4 tables and eliminate 2 tables at once.

Then check the remaining 2 tables.

:)

Answer:

B. W

Step-by-step explanation:

College & university: 6

College & not university: 17

Not college & university: 28

Not College & not university: 9

a rectangular field has side lengths that measure 9/10 mile and 1/2 mile. What is the area of the field

Answers

Answer:

9/20, or 0.45 mile.

Step-by-step explanation:[tex]\\[/tex]

To find the area of a rectangle, multiply length times width. In this problem we are given both the length and width.

[tex]\frac{9}{10}[/tex] × [tex]\frac{1\\}{2}[/tex] is just 9/20, which is 0.45.

Find the volume of this cylinder. Give your answer to 1 decimal place when the radius is 11 cm and the length is 14 cm

Answers

Answer:

5324

Step-by-step explanation:

volume of cylinder=πr^2l=22/7×11^2×14=5324

12. For angle A it is known that sin(A)>0 and tan (A) <0. If A is drawn in standard position, in which quadrant
does its terminal ray lie?​

Answers

Answer:

Quadrant 2

Step-by-step explanation:

Sin = opp/hyp and opp is positive in quadrants 1 & 2.

Tan = opp/adj - we need one of these values to be positive and the other negative. adj is negative in quadrants 2 & 3.

Quadrant 2 is found in both of the scenarios that we need to occur.

What is x2 + 6x = x2 - 6x as a system?

Answers

Answer:

x = 0

Step-by-step explanation:

I WENT TO PHOTO MATH

H O P E I T H E L P S ! ™©

Answer:

A. y=x^2+6x

y= x^2-6x

the answer to the second part is 0

Step-by-step explanation:

on edgenuity 2020 :))

Find the 76th term of the arithmetic sequence 17, 19, 21, ...

Answers

Answer: 167

Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.

[tex]^{a}n = ^{a}1 (n - 1)d[/tex]

Since we want to determine the 76th term, we are going

to substitute 76 in for n in our explicit formula.

Then, [tex]^{a}1[/tex] will be our first term in our sequence which is 17.

Lastly, d is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.

So we have [tex]^{a} 76 = 17 + (76 - 1)(2)[/tex].

Now we have all the information we need. Just simplify from here.

Make sure to apply order of operations because this is where many

students make mistakes. Inside the parentheses first!

(76 - 1) is going to be 75.

So we have [tex]^{a} 76 = 17 + (75)(2)[/tex].

Then, we have to make sure we multiply before we add.

So (75)(2) is going to give us 150.

So we have [tex]^{a} 76 = 17 + 150[/tex].

Now just add to find that [tex]^{a} 76 = 167[/tex].

So the 76th term is 167.

Write an expression in simplest form for the perimeter of a right triangle with leg lengths of 12a to the power of 5 and 9a to the power of 5.

Answers

Answer:

[tex]36a^5[/tex].

Step-by-step explanation:

In a right angle triangle,

Length of one leg [tex]=12a^5[/tex]

Length of other leg [tex]=9a^5[/tex]

According to the Pythagoras theorem,

[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]

Using Pythagoras theorem,

[tex]Hypotenuse^2=(12a^5)^2+(9a^5)^2[/tex]

[tex]Hypotenuse^2=144(a^5)^2+81(a^5)^2[/tex]

[tex]Hypotenuse=\sqrt{225(a^5)^2}[/tex]

[tex]Hypotenuse=15a^5[/tex]

Perimeter of right angle triangle is the sum of all sides of the triangle.

[tex]Perimeter=12a^5+9a^5+15a^5[/tex]

[tex]Perimeter=36a^5[/tex]  units.

Therefore, the required expression is [tex]36a^5[/tex].

A baseball coach purchased a total of 28 helmets and caps. Each helmet cost $21.50, and each cap cost $8.25. If the coach spent a total of $363.50, how many helmets did the coach purchase?

Answers

Answer:

5 helmets

31 caps

8.25, 16.50 24.75 33 x 10 = 330

330/2 = 165 = 20 helmets

363.50 - 165 = 198.50

5 x 21.50 = 107.50 (+ 11 x 8.25 = 16.50+24.75 +24.75+24.75 = 49.50+41.25) =£91 + 107.50 =  198.50

20+11 = 31

31 caps

5 helmets

Step-by-step explanation:

There are 10 helmets did the coach purchase.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

A baseball coach purchased a total of 28 helmets and caps.

And, Each helmet cost $21.50, and each cap cost $8.25. and the coach spent a total of $363.50.

Let number of helmets = x

And, Number of caps = y

Here, A baseball coach purchased a total of 28 helmets and caps.

Hence, We get;

⇒ x + y = 28  ..(i)

And, Each helmet cost $21.50, and each cap cost $8.25. and the coach spent a total of $363.50.

Hence, We get;

⇒ 21.50x + 8.25y = 363.50

⇒ 5 (4.30x + 1.65y) = 5 × 72.7

⇒ 4.30x + 1.65y = 72.7  .. (ii)

Multiply by 4.30 in (i) ad subtract from (ii);

⇒ 4.30x + 4.30y - 4.30x - 1.65y = 120.4 - 72.7

⇒ 2.65y = 47.7

⇒ y = 18

And, From (i);

⇒ x + y = 28

⇒ x + 18 = 28

⇒ x = 10

Hence, Number of helmets = 10

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

Each side of a square name tag is 7 centimeters long. What is the name tag's area?

Answers

Answer:

49 cm²

Step-by-step explanation:

The area for a square is Area = length x width, and if the square name tag is 7cm long on "each side", that means that both the length and the width are 7cm.

Plug this into the formula to get A = 7cm x 7cm.

This can be simplified to A = 49cm².

Answer: 49 cm^2

Step-by-step explanation:

7 x 7 = 49

1. Warp coils, like those found on my new spaceship, are manufactured in groups of 36 (as everyone
knows). If there is a 4% rate of defect in manufacturing,
a) find the mean number of defects per group.
a)

Answers

Answer:

1.44

Step-by-step explanation:

No. of warp coils manufactured in one group = 36

defect rate = 4%

That is 4 out of every 100 warp coil is defective

No. of defective warp coil in one group = 4% of warp coil in one group

                                                             = 4% of 36 =4/100 *36

                                                             = 1.44

Thus, there are 1.44 defective coil in each group.

Since, mean number is average number of defect.

So if each group has 1.44 defective coils then mean for all the group will remain same i.e 1.44

f(n) = 41 – 5n
Complete the recursive formula of f(n).
f(1) =
f(n) = f(n − 1)+

Answers

Answer:

f(1) = 36

f(n) = f(n-1) - 5.

Step-by-step explanation:

f(1) = 41 - 5 = 36.

f(n) = f(n - 1) - 5.

PLZZZ HELP ME I NEED HELP AND I HAVE A TIMER AND I WILL GIVE YOU BRAINLEST
On a coordinate plane, 2 lines intersect around (3.8, negative 1.5).
Given the graph of a system of equations, which statements are true about the solution? Check all that apply.
The x-value is an integer.
The x-value is between 3 and 4.
The y-value is between –2 and –1.
The x-value is positive.
The x- and y-values have the same sign

Answers

Answer:

b,c,d

Step-by-step explanation:

I just did the assignment

Answer:

b, c. d

Step-by-step explanation:

Big ideas math 6th grade chapter 5 test

Answers

Answer:

I'm not sure if you need help but...

Step-by-step explanation:

6+6=12

Claire completed the steps to solve the system of equations. 4 x minus 2 y = 4. 3 x + 3 y = 21. Step 1 12 x minus 6 y = 12. 6 x + 6 y = 42. Step 2 18 x = 54. Step 3 x = 3. Step 4 4 (3) minus 2 y = 4. 12 minus 2 y = 4. 2 y = negative 8. y = negative 4. Step 5 Solution is (3, negative 4). Is Claire’s solution to the system of equations correct? Explain why or why not. No, Claire should have multiplied the second equation by negative two instead of positive two in step one. Yes, Claire correctly added the equations and then substituted for x to solve for y. No, Claire should have multiplied the first equation by negative three instead of positive three in step one. No, Claire should have gotten Negative 2 y = negative 8 instead of 2 y = negative 8 in step four.

Answers

Answer:

I'm pretty sure it's "No, Claire should have multiplied the second equation by negative two instead of positive two in step one."

Step-by-step explanation:

Answer:

A. "No, Claire should have multiplied the second equation by negative two instead of positive two in step one."

Step-by-step explanation:

Claire completed the steps to solve the system of equations. 4 x minus 2 y = 4. 3 x + 3 y = 21. Step 1 12 x minus 6 y = 12. 6 x + 6 y = 42. Step 2 18 x = 54. Step 3 x = 3. Step 4 4 (3) minus 2 y = 4. 12 minus 2 y = 4. 2 y = negative 8. y = negative 4. Step 5 Solution is (3, negative 4). Is Claire’s solution to the system of equations correct? Explain why or why not. No, Claire should have multiplied the second equation by negative two instead of positive two in step one. Yes, Claire correctly added the equations and then substituted for x to solve for y. No, Claire should have multiplied the first equation by negative three instead of positive three in step one. No, Claire should have gotten Negative 2 y = negative 8 instead of 2 y = negative 8 in step four.

Please Mark As Brainliest...

Sorry For The Smol Brain Question..............

Can someone help me with questions 2 and 3 pls?

Answers

1 cup = 1/2 pint, so where it says 4 cups we'll just read 2 pints.

1.  In one show we serve 30 × 2 pints of small and 42 × 6 pints of regular.

Total = 30 × 2 + 42 × 6 =  60 + 252 = 312 pints

Answer: 312 pints

2. 8 pints per gallon, 2 gallons per container makes 16 pints per container.  

312 pints / 16 pints per container = 19.5 containers

We round up since we need a whole number of containers.

Answer: 20 containers

We can't really see question 3.

1) Which of the equivalent expressions for P(x) reveals the price which gives a profit of
zero without changing the form of the expression?
P(x) = -3x? + 432x - 1680
b) P(x) = -3(x-4)(x - 140)
P(x) = -3(x - 72)2 + 13872
2) Find a price, which gives a profit of zero.

Answers

Answer:

1. (B)P(x) = -3(x-4)(x - 140)

2. $140

Step-by-step explanation:

(1) Given the profit function, P(x) where x is the price, the expression which reveals the price which gives a profit of  zero without changing the form of the expression is:

P(x) = -3(x-4)(x - 140)

This is as a result of the fact that equating it to zero immediately yields the zeros of the quadratic polynomial.

(2)When the profit, P(x)=0, then using the expression above we have:

[tex]P(x) = -3(x-4)(x - 140)\\Since -3\neq 0, then:\\x-4=0$ or x-140=0\\x=4 or x=140[/tex]

A price of $4 or $140 as the case may be gives a profit of zero.

Find the probability that a point chosen at random will lie in the shaded region.

I don't understand what to do here :(

Answers

Step-by-step explanation:

In the 1st question

Total boxes = 6

Shaded boxes = 2

Probability = 2/6 = 1/3



A survey was done to investigate the relationship between liking math and learning a musical
instrument. The results are shown in the Venn diagram below. If a person was selected at
random from this survey, which of the following would be the probability of liking math given
that they don't take music?
A) 0.22
Likes Math
Takes Music
B)
0.28
C)
0.33
22
80
45
D)
0.37
38

Answers

I would say based on the question it would be c

The probability of liking math given that they don't take music is 0.37 option (D) 0.37 is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.

The probability:

P(Math/Music') = P(Math∩Musci')/P(Music')

Total number of sample = 22+80+45+38 = 185

Probability of liking math:

P(Math) = (22+80)/185 =0.55

Probability:

P(Music) = (45+80)/185 = 0.68

P(Music') = 1-0.68 = 0.32

Probability of liking math and liking music:

P(Math∩Music) = 80/185 = 0.43

Now, P(Maths/Music) = (0.55 - 0.43)/0.32 = 0.375 ≈ 0.37

Thus, the probability of liking math given that they don't take music is 0.37 option (D) 0.37 is correct.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

how do i solve this?

Answers

Answer:

idk

Step-by-step explanation:

idk

Answer:

that is to hard

Step-by-step explanation:

Pls answer quickly, this is due today !!!!!!
Mrs. Rappa has decided to take her $2,000 and go check out the savings accounts at Circle Bank of PI Haven. She picks up a flyer in the lobby. There are a couple of savings accounts to choose from. Look at the copy of the information from the flyer below. Write a letter to Mrs. Rappa and offer your advice to her about her options. Be sure to tell Mrs. Rappa your reasoning (using sentences and showing calculations for each account) to decide which account is best. If you have additional advice for Mrs. Rappa about the number of years she is investing her funds - you may do so.



Savings Accounts Interest Rate Years in account

Sleepy Savings 5% 7

Centsational Savings 10% 3


Answers

Answer:

Step-by-step explanation:

Dear Mrs.Rappa,

I don't know much about this but i do know that saving accounts are risky and she should just set up a checking. Because it's proven that you'll take the risk of losing value in your money. And you take a risk, but to help you more i need to know about what the 5% 7 means. if i do know what it's means, but the 5% is good, it's compound interest which means you get more money on that interest It grows, but as far as the 7 goes, IDK. but the saving %"s are good like yay money, but she takes the risks. So why the risk is there is because of the stock market, and also because the bank takes other clients money for them to pay other client's. So a risk in 7yrs.  

                                                       Sincerely,

                                                           First name Last name Here

What is the net change in the temperature relative to when lko woke up

Answers

Complete question:

Between the time iko woke up and lunchtime, the temperature rose by 11°. Then by the time he went to bed, the temperature dropped by 14°.

What is the net change in the temperature relative to when lko woke up?

Answer:

The net change in the temperature relative to when lko woke up =

[tex]\bold{-3}[/tex] °

Step-by-step explanation:

Given that between his wake up time and lunch time, temperature rose by  11°. Let the new temperature be  [tex] \bold{T1} [/tex] and let the initial temperature(temperature before wakeup time) be  [tex] \bold{T} [/tex]

Since the temperature rose by 11°, the new temperature after Iko woke up, T1, would be derived by adding 11° to the initial temperature.

i.e,  T1 = T + 11......................(1)

At bed time the temperature dropped by 14°. Therefore, the temperature would now be 14 less than the new temperature T1. It is expressed as:

T1 + (-14).......................... (2)

Let's substitute T + 11 for T1 in equation 2, we have:

T + 11 + (-14)

To find the expression for the net change in temperature, let's subtract the initial temperature T, from (T+11 -14) i.e,

ΔT = (T + 11 - 14) - T

Solving further, we have:

ΔT = T - T + 11 - 14

ΔT = 11 - 14

ΔT = -3°

Therefore, the net change in the temperature relative to when lko woke up is = -3°

What is the solution to this system of equations?

Negative 3 x + 5 y = negative 2. 3 x + 7 y = 26.
(4, 2)
(2, 3 and one-third)
no solution
infinitely many solutions

Answers

Answer:

4,2

Step-by-step explanation:

did the test

The solution of the system of equation is (4, 2) which is correct option(A).

What is equation?

Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.

Given the two systems of equations,

-3x + 5y = -2

3x + 7y = 26

Adding the both equations

-3x + 5y + 3x + 7y = -2+26

12y = 24

y = 2

Substitute the value of y in any one of the equations,

3x + 7 y = 26

3x + 7(2) = 26

3x = 26-14

3x = 12

x = 4

Hence, the solution of the system of equation is (4, 2).

Learn more about equation here:

brainly.com/question/10413253

#SPJ2

Ginger is taking a cab in Washington D.C. The taxi fare includes a base charge of $3.00 as soon as you enter the cab, plus an additional $2.50 per mile traveled. If Ginger starts off with a $50 bill, takes a cab for 8 miles and leaves a $2 tip. How much money will she be left with?

Answers

Answer:

she will be left with 25 dollars

Step-by-step explanation:

2.50 x 8=20

20+3+2=25

Answer:

Answer is 25 dollars.

Step-by-step explanation:

3$- 50 dollars= 47.

2.50 x 8= 20 dollars.

20$ -47 = 27.

2$- = 25

Justin played a game with 24 floating plastic ducks each with a colored sticker on the bottom. There are an equal number of red blue and green stickers on the set of ducks. What is the probability that one duck chosen at random will have a red or blue sticker

Answers

Answer:

Because there are 24 ducks total and they are separated equally into three categories, we can figure out that there are 24 / 3 = 8 ducks of each color. This makes the probability of pulling a red/blue duck would be (8*2)/24 or 16/24. If we want this to be a percentage we can just solve 16/24*100 and it will give us 66.66...%

HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The first one dividing the number by 100

Step-by-step explanation:

please help! desperateee

Answers

Answer:

52

Step-by-step explanation:

This is an isosceles triangle, so the base angles will be the same. Then you know that all of your angles will add up to 180.

Your equation can be:

2(2x+2) + (3x + 1) = 180

x = 25

S = 2(25) + 2

S = 52 degrees

Answer:

52

Step-by-step explanation:

Because SR = TR, ∡S =∡T= 2x+2

For any triangle sum of all angles = 180°.

2x+2 +2x+2+3x+1= 180

7x + 5 =180

x = 25°

∡S =2x+2=2*25+2 = 52°

The temperature in a greenhouse should be 65 degrees or higher. One​ morning, the heater stopped working. The temperature dropped 2 degrees before someone fixed the heater. The temperature was still at least 65 degrees when the heater started working again. How can you best describe the temperature in the greenhouse before the heater stopped​ working?

Answers

The degrees was 70 degrees so when it dropped 2 it was 68 so that is at least 65 degrees

I need help plzzzz I’m nearly done

Answers

Answer:

≈ 70.4 cm

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ) , thus

C = 2 × 3.142 × 11.2 ≈ 70.4 ( to 1 dec. place )

70.4 is the circumference

-4b - 5 + 2b =10. Can I have some help solving this.

Answers

Answer:

-7.5

Step-by-step explanation:

Simplify

-4b - 5 + 2b = 10

-2b - 5 = 10

-2b = 15

b = -7.5

Answer:

-7.5

Step-by-step explanation:

-4*- 7.5 =30

2*-7.5=   -15

30-5-15=10

Other Questions
Maya is researching energy costs. She made a table of the cost for different numbers of gallons of gasoline. How much will 12 gallon cost?A.$7.80B.$23.40C. $31.20D. not enough information for the click to add title box put what you think fits and an explanation on where or describing the setting of that place Indicate the effectUnderstate, Overstate, No Effectthat each of the following errors has on 2020 net income and 2021 net income. 2020 2021 (a) Equipment (with a useful life of 5 years) was purchased and expensed in 2018. Select an option Select an option (b) Wages payable were not recorded at 12/31/20. Select an option Select an option (c) Equipment purchased in 2020 was expensed. Select an option Select an option (d) 2020 ending inventory was overstated. Select an option Select an option (e) Patent amortization was not recorded in 2021. Select an option Select an option Vandy Corporation's balance sheet and income statement appear below: Comparative Balance Sheet Ending Balance Beginning Balance Assets: Cash and cash equivalents $ 31 $ 29 Accounts receivable 61 73 Inventory 59 61 Property, plant, and equipment 684 550 Less accumulated depreciation 349 319 Total assets $ 486 $ 394 Liabilities and stockholders' equity: Accounts payable $ 53 $ 54 Accrued liabilities 20 21 Income taxes payable 52 48 Bonds payable 203 190 Common stock 61 60 Retained earnings 97 21 Total liabilities and stockholders' equity $ 486 $ 394 Income Statement Sales $ 807 Cost of goods sold 492 Gross margin 315 Selling and administrative expense 182 Net operating income 133 Gain on sale of equipment 16 Income before taxes 149 Income taxes 45 Net income $ 104 The company sold equipment for $18 that was originally purchased for $14 and that had accumulated depreciation of $12. It paid a cash dividend of $28 during the year and did not retire any bonds payable or repurchase any of its own common stock. Required: Prepare a statement of cash flows for the year using the indirect method. What is the area of the rectangle?4 cm3 cm4 square centimeters7 square centimeters12 square centimeters24 square centimeters A large painting on display in a public park shows ancientand modern people working, playing, and dancing together.Both Catholic and traditional Mexican Indian religiousfigures are displayed side by side. In the center, in Spanish,is a written message about freedom.Which artistic movement is most likely associated with this description of animage?OA. The Harlem RenaissanceOB. Tin Pan AlleyOC. NeograffitiOD. The Chicano Movement If a punnet of strawberries wrighs 100g, how many punnets would weigh 1 kg What is the MOST likely reason the author included the singalong in Boston? (A) to introduce the idea that people are finding new ways to stay connected (B) to explain how social distancing can prevent the spread of the coronavirus (C) to show that Americans were inspired by community events in Italy (D) to demonstrate the effects of governors shutting down restaurants c please helppppppppppSelect the TRUE statements about the carbon cycleThe carbon cycle is the process in which carbon travels from the atmosphere into organisms and the Earth and then back into the atmosphere.Plants take carbon dioxide from the air and use it to make food.Animals eat food and the carbon is stored in their bodies or released during cellular respiration.Water (H2O) is cycled around the Earth Need help ASAP! Simplify the expression so there is only one positive power for the base, -5. (The questions/answers are in the group chat.)A. B. C. D. What is the correct answer? Please how is a food web different from a food chainA. Food webs contains only producers not consumersB. Food webs do not include decomposersC. Food webs exist in aquatic environments food chains exist in terrestrial environments D. Food webs contain many different linked food chains In the third paragraph, what action verbs make this paragraph persuasive? Can you find a sentence that uses active voice? graph x2 - y2 = 16 what are the lines of symetry help so hard!!! i need help a rectangle has an area of 24m. its length is 5m longer than the width.write an expression for the rectangle's length It cost Leah $1.50 to send 10 text messages. How many text messages did she send if she spent $7.05?PLEASE ANSWER What is the relationship between how others feel and how we feel mention two instruments that could be used to transfer sodium hydroxide solution into conical flask Identify the measure of arc HD.The figure shows a circle and three secants. Points P, K, L, H, D lie on the circle. Secants R L and K H intersect in the interior of the circle. The measure of formed angle is 92 degrees. Secants D R and L R intersect in the exterior of the circle at point R. The measure of angle D R L is 38 degrees. The measure of the intercepted arc that is closest to the angle is 18 degrees. Secant R L intersects the circle at some point. The measure of arc between this point and point K is 102 degrees. Point P lies on secant R D.