Please Show Work.

Angles A and B create a 120° angle. ∠A=3x+5 and ∠B=2x+15. Find the measures of both angles.

Answers

Answer 1

Answers:

x = 20

angle A = 65 degrees

angle B = 55 degrees

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

Work Shown:

A+B = 120

(3x+5) + (2x+15) = 120

5x+20 = 120

5x = 120-20

5x = 100

x = 100/5

x = 20

Use this to find both angles

angle A = 3x+5 = 3(20)+5 = 65 degrees

angle B = 2x+15 = 2(20)+15 = 55 degrees

Then note how A+B = 65+55 = 120 to help confirm our answers.

Answer 2

Answer:

[tex]\huge\boxed{\angle A = 65, \angle B = 55}[/tex]

Step-by-step explanation:

We can treat each of these angle equations as if they are the real angle measures.

We know these angles add up to 120°, so we can create an addition statement:

[tex](3x+5) + (2x+15) = 120[/tex]

We can then solve for x.

Combine like terms: [tex]5x + 20 = 120[/tex] Subtract 20 from both sides: [tex]5x = 100[/tex]Divide both sides by 5: [tex]x = 20[/tex]

Now that we know x = 20, we can substitute it into both equations for each angles and find it.

∠A = [tex]3x+5\\ 3 \cdot 20 + 5\\60+5\\65[/tex]

∠B = [tex]2x+15\\2\cdot 20 + 15\\ 40+15\\55[/tex]

We can test that this is right because 65+55 = 120.

Hope this helped!


Related Questions

Calculate the estimated density of each ball. Use the formula

D = m/V
where D is the density, m is the mass, and V is the volume. Record your calculations in Table A of your Student Guide.

Given that the density of water is 1.0 g/cm3, make a prediction about whether each ball will float in water. Record your prediction in Table A.

What is the estimated density of the table tennis ball? Record your answer to the nearest hundredth.

g/cm3

What is the estimated density of the golf ball? Record your answer to the nearest hundreth.

g/cm3

Answers

Answer:

Step-by-step explanation:

What is the estimated density of the table tennis ball? Record your answer to the nearest hundredth.

⇒ 0.07 g/cm3

What is the estimated density of the golf ball? Record your answer to the nearest hundreth.

⇒ 1.37 g/cm3

The estimated density of a tennis ball is 0.25 g/cm³.

The estimated density of a golf ball is 0.33 g/cm³.

What is multiplication?

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

To calculate the estimated density of each ball, we need to use the formula D = m/V, where D is the density, m is the mass, and V is the volume.

We can then record the calculations in Table A, along with our predictions about whether each ball will float in water, based on the density of water being 1.0 g/cm³.

For the table tennis ball, we have:

D = m/V = 2 g / 8 cm³ = 0.25 g/cm³.

Based on this density being less than that of water (1.0 g/cm³), we predict that the table tennis ball will float in water.

For the golf ball, we have:

D = m/V = 1 g / 3 cm³ = 0.33 g/cm³

Based on this density being less than that of water (1.0 g/cm³), we also predict that the golf ball will float in water.

We can record our calculations and predictions in Table A as follows:

Ball m (g) V (cm³) Density (g/cm³) Floats in water?

Table tennis 2 8 0.25 Yes

The golf ball 1 3 0.33 Yes

To learn more about multiplication;

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1.Clare estimates that her brother is 4 feet tall. When they get measured at the doctor's office, her brother's height is 4 feet, 2 inches.
Which measurement should be considered the actual height?
a. Clare's b. the doctors c. both d. neither
2.What was the error, expressed in inches?
3.What was the error, expressed as a percentage of the actual height?

Answers

Answer:2

Step-by-step explanation: Clare estimated but did not measure

Which expression would be easier to simplify if you used the commutative property to change the order of the numbers?

A. 1/3 + 2/3 + (-1/4)
B. -10 + (-20) + 1/2
C. 30 + (-12) + 70
D. 60 + 40 + (-25)

Answers

Answer:

d

Step-by-step explanation:

well i think that is the answer

It’s d (I think but I’m pretty sure)

Savannah, Greg, and Kevin all take part-time jobs for the summer. Their hourly wages are show in the tables below. Use the information to answer each question.


1: What is the constant of proportionality, k, of Kevin's wage?

2: What is constant of proportionality, k, of Greg's?

3: What is the constant of proportionality, k, of Savannah's wage?

4: [blank] has the highest hourly rate per hour.

5: If all three friends worked 20 hours during the week, how much would each person earn? Savannah-[blank]

6: If all three friends worked 20 hours during the week, how much would each person earn? Greg-[blank]

7: If all three friends worked 20 hours during the week, how much would each person earn? Kevin-[blank]

8: Savannah earns $247.00. How many hours did she work?

9: How long will it take Greg to earn $500.00? Round to the nearest hour.

Answers

Answer:

Wait, so u want us to solve this whole thing?

Step-by-step explanation:

Answer:

1. kevins wage is 8.25     2. greg wage is 9.00   3. Savannah's wage is 9.25

4. Which person has the highest hourly wage: Savannah, Greg or Kevin- kevin 5. Savannah has earned $247.00 this week.  How many hours did she work- 26 hours

6. Greg will need to work 61 hours to earn $500.00.

Step-by-step explanation:

im working on these same questions right now lol but here are all the answers hope this helps.

round 4.2 to the nearest whole number

Answers

Answer:4

Step-by-step explanation: 2 tenths is closer to 4 than it is to 5. Therefore, the answer is 4. If the number were 4.8, it would be 5 because it’s closer to 5.

This year, 72 students completed projects for the science fair. This was 23 more students than last year. How many students completed projects for the science fair last year?
Im marking the first one i see the brainliest (or however you spell it bc it isnt a real worl lol)

Answers

95 students completed projects for last year science fair

Answer:

i think it is 49? that could be wrong

Step-by-step explanation:

72-23 =49

a plant grows at a constant rate. lokesh records the height of the plant each week. The unit rate is measured in inches per week. what is the constant of proportionality A.3 B.3 C.1/2 D.2/3​ NVM it's 1/2

Answers

I know you already got this answered, but I need points. Can I get brainliest?

answer: C

NVM i just noticed that u already understand it :)

Alright, can someone that is competent in this concept explain to me about residuals? I am studying for a quiz tomorrow. I will mark brainliest if you give me a good and hopefully detailed explanation about residuals.

Answers

Answer:

Hey buddy, here is your answer. Hope it helps you.

Step-by-step explanation:

It is the difference between the dependent variable and a predicted value.Each data point has one residual. Residual = Observed value - Predicted value. A residual is a measure of how well a line fits an individual data point.

Sorry for another one! WILL GIVE BRAINLIEST!! DUE TODAY! Help please

Answers

Answer:

1.5 or 6/4

Step-by-step explanation:

y=1.5x+2

or

y=6/4x+2

6/4 is the slope! hope this helps!

Use the Distributive Property to simplify the expression.

8(x + 10)

Answers

Answer:

The simplified expression is 8x+80 so ya

Step-by-step explanation:

yeee

The answer is : 8x+80

Explanation:

The first five terms in a pattern are shown below.

-0.5, -0.25, 0, 0.25, 0.5, …

If the pattern continues, which expression can be used to find the nth term?

0.75n − 1.25
−0.25n − 0.25
0.25n − 0.75
−0.5n + 0.25

Answers

Answer:

I think this answer is A.

Step-by-step explanation:

I think this because when you subtract 0.5-0.25 you get 0.25. So you would add it to whatever comes next until you get to the 9th term. Then you would be somewhere around the ones place. :)

In the given pattern, the expression that can be used to find the nth term of the sequence is T(n)=0.25n-0.75. The correct option is C.

What is an Arithmetic Sequence?

An arithmetic sequence is a sequence in which the difference between any two consecutive terms of the sequence is equal.

Tₙ = a₁ + (n-1)r

where,

Tₙ is the nth term of the sequence,

a₁ is the first term of the sequence,

r is a common difference between every two terms.

Since the given sequence is in an arithmetic progression, therefore, the common difference between any two consecutive terms in the sequence are,

Difference, d = -0.25 - (-0.5)

                      = -0.25 + 0.5

                      = 0.25

Also, the first term of the sequence is -0.5. Therefore, using the formula of nth for an arithmetic sequence, we can write,

nth term = a₁ + (n - 1)d

              = -0.5 + (n - 1)0.25

              = -0.5 + 0.25n - 0.25

              = 0.25n - 0.5 - 0.25

              = 0.25n - 0.75

Hence, in the given pattern, the expression that can be used to find the nth term of the sequence is T(n)=0.25n-0.75.

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Help me? on a timer tysvm don't rush just need the correct answer.

Answers

Answer:

It is B

Step-by-step explanation:

Relation or Function?

Answers

Answer:

k,l,m =Functions n= relation

Step-by-step explanation:

write two expersions equivalent to -5/4x-3/4

Answers

Answer:-1\/4 (5 x + 3) is one of them and the other is

1\/4 (-5 x - 3) but the first has negative

Step-by-step explanation:

here’s one 1/4(-5x + 3)

please help gahh tysvmm

Answers

I think that it’s is C.

Answer:

C

Step-by-step explanation:

In order to solve the problem, you first need to figure out how many pages she read on Tuesday. C addresses this by using PEMDAS. You then need to add 5 to that total because that is how many pages she read on Monday. Those steps need to be in parentheses because you are multiplying that total by 2.

Renting video games from Store S costs $2.50 per game plus a monthly fee of $5.00. Renting video games from Store T costs $5.00 per game with no monthly fee. The monthly cost to rent video games depends on the number of video games, v, rented. Which inequality represents the situation when the monthly cost at Store S is less than the monthly cost at Store T?

A. 2.5v + 5 < 5v

B. 2.5v + 5 = 5v

C. 7.5v < 5v

D. 7.5v = 5v

Answers

I believe it is B. Sorry I’m not the best at math but hope this helps !!

The sum of two numbers is 35. The difference of these two numbers is 17. Find the two numbers.

Answers

Answer:

x + y = 35

17 + y + y = 35

17 + 2y = 35

2y = 18

y = 9

x + y = 35

x + 9 = 35

X = 26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Sum = 26 + 9 = 35

A watermelon was estimated to weighs 7,458 grams. A scale measured the actual weight as 8,475 grams. Express the measurement error as a percentage of the actual weight.
Please Help Asap! Thank you so much!

Answers

Answer:

Yeet

Step-by-step explanation:

Answer:

Step-by-step explanation:

1000 i thank

PUT THEM IN ORDER SMART ONLY
Put the steps in order for adding decimals.

Reorder answers
1.Fill in any empty spaces with a zero.
Reorder answers
2.Drop the decimal down into the answer.
Reorder answers
3.Add
Reorder answers
4.Line up the decimals.

Answers

Answer:

1.Fill in any empty spaces with a zero.

Reorder answers

2.Drop the decimal down into the answer.

Reorder answers

3.Add

Reorder answers

4.Line up the decimals.

Step-by-step explanation:

Answer:1.Line up the decimals, 2. fill in any empty spaces with a zero, 3. Add, 4. Drop the decimals down into the answer.

Step-by-step explanation:

can someone plss help me fastt pls I WILL GIVE BRAINLIEST TO WHO IS CORRECT PLSS

Answers

Answer:

Step-by-step explanation:

The first part is 14 divided by 4 which is 3.50

The second part is 56.00 divided by 3.50 which is 16

The third part is 3

The last part is 16*3=48

Answer:

The first part is 14 divided by 4 which is 3.50

The second part is 56.00 divided by 3.50 which is 16

The third part is 3

The last part is 16*3=48

Step-by-step explanation:

Olivia has $150 to spend on clothes. She buys one pair of jeans for $38. She wants to buy several shirts that cost $21 each. Which inequality could be used to determine the possible number of shirts, x, she could buy?need help ASAP

Answers

Answer:

38+21x<=150

Step-by-step explanation:

m

Step by Step Explanation:

Olivia buys a pair of jeans that cost 38$ Which means you already got

38 -

She wants to buy shirts that cost 21$ and we dont know how many shirts so it is x so you will multiply

21 times x

and the symbol will be less than or equal too because it cant be greater than bc she only has 150$

Answer:

can some body answer this ty:)

Answers

Answer:

8

Step-by-step explanation:

If 4 = 1/3 Then You Multiply That Twice And It Makes 2/3 Of Peppers.

Answer:

Step-by-step explanation:

If 1/3 of pepper flakes= 4 sesame seeds

Then to get 8 double the number of pepper flakes 1/3*2=2/3

Therfore 2/3=8 sesame seeds

He needs 8 sesame seeds for 2/3 of pepper flakes.

Look at the attached images to answer the question!

Answers

they vary directly (im just writing this cause my answer wasn’t long enough)
A vary directly
Reason:
When number of test increases time also increases

B vary directly
Reason:
When pounds increases cost also increases

Sebastian drank 3.5 bottles of Gatorade y esterday. Each bot tle contained 1.2 pints of Gatorade. What was the number of pints of Gatorade Sebastian drank yesterday?

Answers

Answer:

4.2 because 3.5 ties 1.2 would be 4.2 i think.

Step-by-step explanation:

Answer:

i think its 4.2

Step-by-step explanation:

James bought 22 candy bars for $137. If the king size candy bars cost $8 and a regular size candy bar cost $5 , how many of each candy bar did he buy? One equation looks like:
x+y=22
Find the other equation and solve the system.

Answers

Answer:

12 and 10

Step-by-step explanation:

Pretty sure it is:

8x + 5y = 137

The expression (3x - 5)(x + 2) is equivalent to:

F. 3x2 - 10
G. 3x2 + x + 10
H. 3x2 + x - 10
J. 3x2 + 11x - 10
K. 3x2 - 11x - 10

Answers

H

Multiply each term in the first parentheses by each term in the second parentheses (FOIL)
It should be H 3x^2+x-10

Ranger was given this expression to simplify. 4(2x – 5) What advice to simplify the expression would you give Ranger? Check all that apply.

1.) First combine the terms in the parentheses.

2.) This expression can be simplified by using the distributive property.

3.) The 4 will be added to each term inside the parentheses.

4.) The 4 will be multiplied to each term inside the parentheses.

5.) A simplified expression is equivalent to the original expression.

Answers

Answer:

It is B,D, and E

Step-by-step explanation:

I did the assignment on Edge 2021

Answer:

B,D,E

Step-by-step explanation:

Lin's family has completed 60% of a trip. They have traveled 30 miles. How long is the whole trip?

Answers

This one’s easy if you know how to do the fractions of 5.

The whole trip is 50 miles because 60% of 50 is 30 miles.

3/5 = 0.6

The number of miles the whole trip is 50 miles.

Given that, Lin's family has completed 60% of a trip.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of miles be x.

so, 60% of x=30

⇒ 60/100 ×x=30

⇒ 0.6x=30

⇒ x=30/0.6

⇒ x=50 miles

Therefore, the number of miles the whole trip is 50 miles.

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Drag the tiles to the boxes to form correct pears. Multiply the pairs of numbers and match them to their products.

Answers

i can’t see anything to match

Plz help with this question

Answers

Answer:

x + 5 = -4

x = -9

~theLocoCoco

Answer:

An equation = 5 > x = -4

Step-by-step explanation:

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