FIREWORKS The designers of a fireworks display want to have four fireworks travel along parallel trajectories. They decide to place two launchers on a dock and two launchers on the roof of a building. To make this display work correctly, what should the measure of angle 1 be? Explain.

Answers

Answer 1

Answer: 80°; the supplementary angle to the 30° angle and ∠1 is a corresponding angle to the 70° angle this means that the supplementary angle to the 30° angle and ∠1 is a 70° angle therefore 30°+m ∠1+ 70° equals 180°. So, m ∠1= 180°.

Step-by-step explanation:

Answer 2

The measure of angle 1 should be 80 degrees.

What are supplementary angles?

Two angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two two angles are two pairs of supplementary angles.

Then its meaning; supplementary angles are aligned adjacent to each other, and their exterior sides will make a straight line.

The supplementary angle to the 30° angle and ∠1 is a corresponding angle to the 70° angle which means that the supplementary angle to the 30° angle and ∠1 is a 70° angle.

Therefore 30° + m ∠1 +  70° = 180°.

100 + m ∠1= 180°.

So, m ∠1= 80°.

Learn more about supplementary angles here:

https://brainly.com/question/2882938

#SPJ2


Related Questions

What is the value of the x variable in the solution to the following system of equations? (1 point)

4x + 2y = 12
x − y = 3

0
−3
3
2

Answers

Answer:

-3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

4x + 2y = 12

x − y = 3

Make it able to cancel the variable y.

x*2 − y*2 = 3*2

2x − 2y = 6

Add the equations together now that y can be canceled out. Add each like term of the separate equations together.

   4x + 2y = 12

+  2x − 2y = 6

   6x + 0 =  18

6x = 18

6      6

x = 3

I hope this helps!

Find the slope and y-intercept of the graph of the equation.
y = 9x + 7

Answers

Answer:

Slope: 9x/1 and y-intercept is 7 (0,7)

Step-by-step explanation:

What is the solution to the system of equations below?
Y= -1/3x +6 and x=-6

O (-6, 8).
O (-6, 4).
O (8, -6).
O (4, -6)

Answers

Answer:

O (8, -6)

Step-by-step explanation:

brainiest plz

Answer:

(-6,8)

Step-by-step explanation:

Have a good day

the smallest number that divides by 8 10 and 12( please answer fast i have exams in 1 hr​

Answers

Answer:

120

Step-by-step explanation:

Solve x − y = 5 for y.

Answers

Answer:

-y=5-x

Step-by-step explanation:

Answer:
y=-5+x

Explanation:
Goal: to isolate y
x-y=5
Subtract both sides by x
x-y-x=5-x
-y=5-x
Divide both sides by -1 to make y positive
y=-5+x

I hope this helps! Please comment if you have any questions.

Allen has a 75 yard spool of yarn. He needs to cut the spool of yarn into 6 1/4
yard pieces of yarn.
How many 6 1/4
yard pieces of yarn can Allen create from the 75 yard spool of yarn?

A. 6 pieces

B. 12 pieces

C. 20 pieces

D. 36 pieces

Answers

Answer:

B. 12 pieces

Step-by-step explanation:

75 / 6 1/4 or 75 / 6.25 = 12

Answer:

b (12)

Step-by-step explanation:

Anyone know this?need help ASAP

Answers

Answer:

45

Step-by-step explanation:

I used Toa to figure it out. First I did Tan(32) times 13 and got 45.

Given an arc of a sector is three times its radius, find the angle subtended by the arc.​
HELP!!

Answers

Answer:

The angle subtended by the arc is 171.8873385 degrees (3 radians)

Step-by-step explanation:

The formula of the length of an arc of a sector is L = [tex]\frac{x}{360}[/tex] × 2 π r, where

x is the central angle subtended by the arcr is the radius of the circle

∵ An arc of a sector is three times its radius

L = 3r

→ Equate the formula of the length of the arc by 3r

[tex]\frac{x}{360}[/tex] × 2 π r = 3r

→ Divide both sides by r

∴  [tex]\frac{x}{360}[/tex] × 2 π = 3

→ Simplify the left side

∵  [tex]\frac{\pi }{180}[/tex] x = 3

→ Divide both sides by  [tex]\frac{\pi }{180}[/tex]

∴ x = 171.8873385°

The angle subtended by the arc is 171.8873385 degrees (3 radians)

Time (econds)
8. The table shows a person's annual
salary y (in thousands of dollars) after x
years of education beyond high school.
What is the annual salary,
Years of
of the person after Education Salas
8 years of education
beyond high school?
Annual

Answers

Answer:

76 the pattern goes in 12s every two years

Step-by-step explanation:

64 plus 12 is 76

2x+4y=8 find the slope

Answers

Make it y = mx + b form
4y = -2x + 8
Divide by 4
Y = -1/2x + 8
The slope is -1/2
M= -1/2 I think that’s the ANS

david is 5 years older than jonathan. in 6 years, double jonathans age added to quadruple davids age will equal to 128. what is each of their current ages?

Answers

Answer:

David a 17 ans et Jonathan a 12 ans  

Step-by-step explanation:

David aura 23 ans dans 6 ans et Jonathan aura 18 ans dans 6 ans

Donc 23 * 4 = 92 et 18*2 = 36 comme 92+36=128 on trouve leurs ages dans 6 ans et on soustrait ensuite 6 à leurs ages dans 6 ans pour trouver leurs ages aujourd'hui

Which quadrant would contain the point of showing 8°C above zero and an increase of 4 people sledding !
A: Quadrant 1
B:Quadrant 2
C:Quadrant 3
D:Quadrant 4

Answers

Answer:

yvhj gycvnuvngfyggjcgybkivuv

Answer:

Quadrant 1

Step-by-step explanation:

11. Mike is driving a boat at 12 mph and is increasing his speed by 0.2 mph each second. Hank is driving a boat
at 25 mph and is decreasing his speed by 0.7 mph each second. Which of the following equations could be used
to determine x, the number of seconds it will take for the boats to be traveling the same speed?
A. 12x + 0.2 = 25x -0.7
C. 12.2x = -25.7x
B. 12 -0.2x = 25 +0.7X
D. 12 +0.2x = 25-0.7x

Answers

12+0.2x=−25−0.7x

Stay Safe!!

The lengths of adjacent sides of a rectangle are 572 units and 8,2
units. The perimeter is 5/2+8/2 +5,2 +8/2.
What is the simplified perimeter, in units, of the rectangle?

Answers

Answer:

13 units

Step-by-step explanation:

Giveb that :

Perimeter = 5/2 + 8/2 + 5/2 + 8/2

Hence, sum of the perimeter will be ;

The L. C. M of the denominator = 2

(5 + 8 + 5 + 8) / 2

= 26 / 2

= 13 units

Hence, the perimeter of the rectangle is 13 units


Viral Marketing
An organization is trying to decide between three sets of assumptions for their viral
marketing campaign:
• Send the message to 20 people, and assume that each person will take 1 day to share
the message with 3 other, new people (and each of them will share with 3 new
people, and so on).
• Send the message to 5 people, and assume that each person will take 1 day to share
the message with 6 other, new people and each of them will share with 6 new
people, and so on),
• Broadcast the message by paying for a television commercial that reaches 100,000
people, but can't be shared easily.
For which scenario would the most people see the message by the 6th day that the
organization sent it?

Answers

Answer:

...

Step-by-step explanation:

15PTS PLEASE HELP ASAP!
(dont write random answers pls)
look at the pic attached:

Answers

Answer:

b) 1000m

Step-by-step explanation:

the law of sines.

you know all the angles and the length of the side a

If you were to flip a coin 20 times, what is the probability you will get at least 13 heads?

Answers

Answer:

A good chance because getting heads is most likely what you will get

Step-by-step explanation:

How do u show work for this problem

Answers

Just show how you dived the equation and found the X

Answer:

im not seeing the problem...

Describe the solution of the system of equations graphed below.
3x+y=-6
9x+3y=-18

Answers

i do belive it is 27

What is the length of x in the diagram below?

A triangle with vertical bisector forms 2 triangles with a right angle. One triangle has a side length of 5 and another angle with a measure 45 degrees. Another triangle has a hypotenuse with length x and another angle with measure 30 degrees.
StartFraction 5 Over StartRoot 3 EndRoot
StartFraction 10 Over StartRoot 3 EndRoot EndFraction
5 StartRoot 3 EndRoot
10

Answers

Answer:

That is a 45-45-90 triangle next to a 30-60-90 triangle.  

So, the height of the left triangle equals 5.

That makes the short side of the 30-60-90 triangle also equal to 5.

In a 30-60-90 triangle, the hypotenuse (or "x") is exactly twice the length of the shortest side.

Therefore, the hypotenuse (or "x") equals 10.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

edge 2020

Zoey is going to invest in an account paying an interest rate of 3.4% compounded
quarterly. How much would Zoey need to invest, to the nearest ten dollars, for the
value of the account to reach $81,000 in 8 years??

Answers

Answer:

61780

Step-by-step explanation:

Craig likes to collect records. Last year he had 4 records in his collection. Now he has 7 records. What is the percent increase of his collection?​

Answers

Answer:

75% I believe

Step-by-step explanation:

A 100% increase would be 8 so adding one would be a 25% increase. since 3 were added it would be 75


What is the measure of angle A?
A.54
B.60
C.16.3662
D.66
E.126

Answers

Answer:

c.

Step-by-step explanation:

It is A. 54. The outside angles correspond with the inside angles to form supplementary (180) angles. So 180-120= 60, 180-114= 66. Next u add those values,126, and subtract from 180. This is because the sum of three triangle angles must be 180. So the final answer is 180-126=54

If RT¯¯¯¯¯¯ is extended to contain a point W so the UW has a length of 8, what is the length of SW?

Answers

Answer:

8

Step-by-step explanation:

SW and UW are equal because they are at the midpoint . A midpoint is a point on a line segment that divides it into two congruent segments.

NEED HELP ASAP GIVING BRAINLEST TO CORRECT ANSWER

Rob is saving to buy a new MP3 player. For every $16 he earns babysitting, he saves $7. On Saturday, Rob earned $96 babysitting. How much money did he save? If he earned $96, he saved $_____.

Answers

Answer:

$42

Step-by-step explanation:





Estimate the volume

Answers

Answer:

Step-by-step explanation:

Well depends the shape

volume of a rectangular solid : V = length * width * height, or V = lwh.

volume of a triangular pyramid: V=13Ah

Volume of a cone: V=πr^2 h /3

etc..

200x52-77=
please answer correct

Answers

The assertion is 10323 UwU hope I helped


A town's population is 38,200. About 100 people move out of the town each month. Each month, 150
people on average move into town. A nearby town has a population of 40,400. It has no one moving in
and an average of 150 people moving away every month. In about how many months will the
populations of the towns be equal? Write an equation to model the situation. Then solve the equation
and answer the question.

Answers

Answer:

in 11 months

Step-by-step explanation:

y=50x+38,200

y=-150x + 40,400

11 months. please mark me brainliest

PLEASE HELP WILL GIVE 40 POINTS!!!!
The Pasadena High school biology club is planning a trip to Yosemite National Park. The trip will cost $300 per club member plus and $800 deposit. Which of the following graphs models the total average cost of the trip per club member?

Answers

Answer:

Answer: D (the last graph)

Step-by-step explanation:

In this item, we are given that each student is to pay an amount equal to $300 on top of the $800 that is assumed to be divided by the total number of students who will join the field trip. In this case, the more number of students, the lesser would be the amount the student will pay from the deposits.  

If there are infinite number of students, one student will partake almost $0 in the deposit. The answer to this item therefore is the last graph.

Answer:

d

Step-by-step explanation:

Calculate the area

a.25.12 cm2

b.12.56 cm2

c.50.24 cm2

Answers

Answer:

a. 25.12 cm^2

Step-by-step explanation:

Area = π * r^2

a = π * 4^2

a = π * 8

a = 25.12

Other Questions
Ranjith Singh was an Indian Sepoy in the 3rd Bengal Light Cavalry Regiment which was stationed at Meerut. He was one among the 85 soldiers who refused to touch the cartridges. How did the British officials react to them? 0 a) British sentenced them to death. 0 b) Sentenced to 10 years imprisonment. 0 c) British forces ignored them 0 d) British forces compelled them to us it. i need help asap if you can answer more questions for me text me A rock is thrown straight up from the top of a bridge that is 75 ft high with an initial velocity of 32 ft/s. The height of the object can be modeled by the equation s(t) = -16t2 + 32t + 75. Determine the time(s) the ball is lower than the bridge in interval notation.In two or more complete sentences, explain why (-,0) is not included in the solution. LuLu mixes a solution of vinegar for a homemade salad dressing she is making. She makes 300 mL of vinegar by mixing 135 mL acetic vinegar with water. What is the percent by volume of the solute? Peter has just paid $100 for a comic book, not because he thinks it is worth $100 or because he likes comic books, but because he thinks he can sell it for $200 next month. Peter is: In a text messaging system, data is sent from one device to another. Devices are recognized by a unique device ID. The format of the message is sent as a string with information about the number of characters in the device ID, the device ID itself, the number of characters in the text message and the text message that is being sent with each part being separated by a space. The system uses this information to send the message to the correct device and the receiving device displays only the text message. The number of words in the text message is also useful. A word is defined by strings separated by spaces.Here is a sample VALID message:04 1234 05 helloThe first two digits in the string represent the length of the device ID to follow.The device ID is the number of characters following the length. Note that the device ID may not be limited to number values.Following the device ID is the length of the text message and then the text message itself. The text message may be any combination of characters (such as letters, numbers or symbols) and may include spaces.This message contains one word.Here is a sample INVALID message:06 a2b10 09 Im readyThe first two values 06 indicate the device ID length. The device ID is a2b10 which has a length of 5. This does not match the specified length 06. Thus, this is NOT a valid message.This message contains two words.The Message class represents messages in this system. A Message must have a device ID, the length of the ID, the length of the message and the text message being sent in order to be a valid message sent through the system. The Message class must determine if a message is valid in order to send a message. A valid message is one where the device ID length matches the given length in the message string and the text message length matches the length of the supplied text message. The text message consists of one or more words where the length of the text message string is at least one character.Consider the code below:Message msg1 = new Message("08 abc123xy 16 Computer Science"); //creates a new message objectboolean msg1Valid = msg1.isValid(); // returns true for a valid messageString text = "11 radio11a287 14";Message msg2 = new Message(text);boolean msg2Valid = msg2.isValid(); // returns false for an invalid messageMessage msg3 = new Message("04 92a1 16 Computer Science");Message msg4 = new Message("03 x8r 21 Today is a great day!");int numWords = msg4.wordCount(); //returns 5, the number of words in the//text messageComplete the Message class by writing the isValid() and wordcount() methods.public class Message{private int idLength;private String deviceID;private int msgLength;private String textMsg;public Message(String msg){//implementation not shown}public boolean isValid(){//to be written}public int wordCount(){//to be written} . A traditional check scarves made of cotton textiles from Cambodia If h(x)= -4x-10, find h(-5). Suppose your company needs $43 million to build a new assembly line. Your target debt-equity ratio is .65. The flotation cost for new equity is 6 percent and the flotation cost for debt is 2 percent. Your boss has decided to fund the project by borrowing money because the flotation costs are lower and the needed funds are relatively small. a. What do you think about the rationale behind borrowing the entire amount? HURYY PLEASE LIKE RN Please answer quickly, timed test!!Which term is correctly paired with its role in the body?A) insulin a sugar that regulates blood glycogen levelsB) ADP a molecule that releases energy when it forms ATPC) glycogen a hormone found in blood that regulates blood glucose levelsD) glucose a sugar found in blood that can be broken down to produce ATP any two role of the students to control drug abuse What are the step(s) when using the Sales with Payment customerworkflow? One atom of (blank) bonded to two atoms of (blank). what can i do when im sad answer Importance of economics at least 7 points please Midpoint of (-8,3) (10,-4) anybody live in Virginia, west Virginia, and or north Carolina I attached the image above What is the first word that Crusoe teaches Friday?O A. MasterO B. GodO C. FriendD. Hello