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°.

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Related Questions

Which of the following expressions represents "the difference of 8 and n"?
0-8 n
08-0
On-8

Answers

Answer:

n-8

Step-by-step explanation:

difference means subtraction so it can't be 8n which is multiplication or 8-0 because n is not represented.

PLSSSS SOMEONE HELP MEEE IM STUCK the question is below

Answers

Answer:

x=8, y=73/3

Step-by-step explanation:

they ask to solve by substitution so from second equation find y

4x-3y= -41 isolate y

4x+41 = 3y divide both sides by 3

(4x+41)/3= y substitute this y in the first equation

5x+2y = -34

5x+2(4x+41)/3 = -34 distribute and find the common denominator

3*5x+(8x+82)/3 = -34

15x+8x+82=-34*3 cross multiply

23x = -102-82

x=-184/23=8

y=(4*8+41)/3=73/3 is about 24.333..

Choose the graph that matches the system of inequalities.
–x + y ≤ –1
x + 2y ≥ 4

Answers

Answer:

The correct

answer is B

The correct option is B)

What is a feasible region?

A feasible region satisfies all the inequalities of a linear programming problem. It is based on the technique of optimization.

Given here the inequalities as –x + y ≤ –1

x + 2y ≥ 4

The graph plotting the two equations is plotted in the attached file

Hence from the given graph option B is the correct option.

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Heather rode her bicycle 3 5/6 miles in 2/3 hour. What was her average speed in miles per hour?

Answers

Answer:

her average speed is 7 and 2/3 miles per hour

Step-by-step explanation:

Classify the polynomial by degree and number of terms.
2+3x^3-7x^3+10

Answers

Answer:

−4x^3+12

Step-by-step explanation:

2+3x^3-7x^3+10

simplify this

−4x3+12

.anybody actually knows the answer ​

Answers

Answer:

2.56

Step-by-step explanation:

14.7 - 1.9 = 12.8

12.8/5 (sides) =

n = 2.56

check:

2.56 * 5 = 12.8

12.8 + 1.9 = 14.7

What is 2/5 ÷ 1/10 = ?​

Answers

=2/5÷1/10=2/5×10/1=2×2 =4 ans it was so simple

What is the result of the subtraction?
46 – 19=
O 23
0 27
033
0 37

Answers

Answer:

27

Step-by-step explanation:

When we take 46 and subract 19 from it, we get 27.

For verification add 27 with 19

The   answer is 46

Answer:

27

Break 19 into 10 and 9. 46-10 = 36. 36-9=27.

Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-3,-4); y=-3x+4

Answers

Answer:

y=-3x-13

Step-by-step explanation:

Plug in the -2 and -4 for the y and x. The slope is the same

1) -4 = -3 (-3)+b

2) -4=9+b

3) -4-9=b

4) -13=b

The equation is y=-3x-13

The answer is y=-3x-13, because y=mx+b and since it’s parallel the slope is -3 and substituting x=-3 and y=-4 and m=-3 into the equation, we get b=-13. So the answer is y=-3x-13

Huilan's age is two times Thomas's age. The sum of their ages is 18. What is Thomas's age?

Answers

Answer:

Huilan is 12 and Thomas is 6

Step-by-step explanation:

Answer:

thomas is 6 years old

Step-by-step explanation:

if he is 6. 6x2=12 +6 =18

You are running an experiment in class where you draw colored marbles out of a bag. There are
eight marbles in the bag, you will draw five times, and you will replace the marble each time. How many ways can you draw the marbles out of the bag?

A: 40

B: 3,360

C: 4,096

D: 32,768

Answers

Answer:

32768 ways

Step-by-step explanation:

Given

Marbles = 8 marbles

Selection = 5 (with replacement)

Required

Determine the number of ways

Because it is a selection with replacement; each selection is as follows:

[tex]First = 8\ marbles[/tex]

[tex]Second = 8\ marbles[/tex]

[tex]Third= 8\ marbles[/tex]

[tex]Fourth = 8\ marbles[/tex]

[tex]Fifth = 8\ marbles[/tex]

Total number of ways is then calculated as:

[tex]Total = 8 * 8 * 8 * 8 * 8[/tex]

[tex]Total = 32768[/tex]

The state Capitol building in Baton Rouge, Louisiana, is 450 feet tall. Ella's scale model of the building uses the scale 25 feet = 10 inches. How tall is Ella's model?​

Answers

30 inches because it’s 30 inches

Ben can type 2/5 of a page of an essay in 1/2 minute. How much time would
take him to type one full page of the essay?

Answers

Answer:

ok so first i want to figure out what 2/5 converted to percent is......

you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4

so this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so lets see,

40% + 40% = 80%

so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time does it take to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15

So if we add all these numbers up it equals 1:15 minutes to write an essay

I hope this helps and please mark brainliest if i got it right!

The time taken by Ben to write a full page will be 1:15 minutes.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4

So this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so let's see,

40% + 40% = 80%

so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time it takes to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15

Therefore, the time takes Ben to write a full page will be 1:15 minutes.

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The graph shows the heigh if a tree ever time. What can you reduce the rate of change to be from 2years to 4years

Answers

Answer:

the question sounds confusing but I believe you would reduce the time or the x value so that the years are reduced.

There are 2 questions PLease help need it quickley will give brainiest

Answers

Answer:

This is the answer

Answer:

did the math person above is right sorry for being late :)

Step-by-step explanation:

If you ride your bicycle at 22 miles per hour, how many miles could
you travel from 7:00 a.m. to 9:30 a.m. if you do not take a break?

Answers

Answer:

About 4-5 miles at the most i rode a bike before to a store and it took me an hour to go there and get back so.... Ya i would say about 4-5 miles

Step-by-step explanation:

Because 22mph is pretty slow. And i was going faster then 22mph when i was on my bike.

Answer:

55 miles

Step-by-step explanation:

Subtract 9:30 & 7:00, it will give you 2.3...meaning 2.5 hours. If you are traveling 22 miles an hour for 2 hours & 30 minutes you will get 55 miles total. 22 + 22 + 11 = 55.

which model represents 1/3​

Answers

Answer:2nd one because 2/6=1/3

Step-by-step explanation:

What is the slope of (-2,5) (3, -5)
A. -1/2
B. -2
C. 2
D. 1/2

Answers

Answer:

Step-by-step explanation:

(-5 - 5)/(3 + 2)= -10/5= -2

answer is B

Which expression represents the completely factored form of 2x3 + x2 - 8x - 4?
a (x2 - 4)(2x + 1)
6 (x - 2)2(2x - 1)
0 (x - 2)(x + 2)(2x - 1)
d (x-2)(x + 2)(2x + 1)

Answers

The answer is the letter D

Answer:

D

Step-by-step explanation:

D is also equivalent

Julieanne is sewing a red ribbon around the border of a blanket. The blanket measures 7 feet by 6 feet. How long does the ribbon need to be in order to go around the edge of the blanket one time?

26 feet
42 feet
84 feet
169 feet

Answers

Answer:

42

Step-by-step explanation:

the answer is 42 feet

The drama club has $4000 to spend on their winter performance. They have already
spent $1500 on the set, and programs cost $1.75 each.
Thetinequality 1500 + 1.75x<=4000 can be used to determine the number
of programs, x, that can be ordered. Which statement about the number of
programs that can be ordered is true?

The drama club can purchase at least 1.428 programs

The drama club can purchase at most 1.428 programs

The drama club can purchase 1,429 programs

The drama club can purchase 4000 programs

Answers

Answer:

The drama club can purchase 1429 programs

Step-by-step explanation:

Which temperatures are listed in order from coldest to warmest?

−6°, −2°, 0°, 4°

0°, −2°, 4°, −6°

−6°, 4°, −2°, 0°

−2°, −6°, 0°, 4°

Answers

Answer:

the temperature list from coldest to warmest is :-2,-6,0,4

Five minus one fourth

Answers

Answer:

can i tell u this story about when i had a dump, so like i just ate chetos so my butt was on fire and their was some fish i saw and i dicided it looked good so i ate it.

Step-by-step explanation:

oh yeah and the answer is 4.75

Answer:

19/4. /means fraction symbol

Step-by-step explanation:

5-1/4

20-1/4

19/4

Identify the slope and y intercept in the equation y=25x + 32​

Answers

Answer:

y= 57x

Step-by-step explanation:

25 + 32 = 57x y = 57x

Which shows the correct expanded form and product of 35 x 3?
O (30 x 3) = (5 x 3) = 6
(30 x 3) - (5 x 3) = 75
(30 x 3) + (5 x 3) = 105
(30 x 3) x (5 x 3) = 1,350

Answers

Yt. W at we see f. Mmm

Answer:

(30 x 3) + (5 x 3) = 105

Step-by-step explanation:

Which answer describes the type of sequence?
3,9, 15, 21, ...

Answers

Answer: Arithmetic sequence

Step-by-step explanation:

The pattern in the sequence is n = n-1 + 6. Since n is increasing through addition with each term, this sequence is arithmetic.

Kris's bike used up 4.5 gallons of gas to cover a distance of 297 miles.Jack travels 366 miles on a full tank capacity of 6 gallons.Ben's bike consumed 5.2 gallons of gas for a 265.2 miles long drive. Whose bike gave the best mileage

Answers

Answer:

Ben's bike gave the best mileage.

Step-by-step explanation:

Kris's bike mileage = 297 / 4.5

Kris's bike mileage = 66 mile/gallon

Jack's bike mileage = 366 / 6

Jack's bike mileage = 61 mile/gallon

Ben's bike mileage = 265.2 / 5.2

Ben's bike mileage = 51 mile/gallon

Ben's bike gave the best mileage

Match the reasons with the statements.

GIVEN: x2 + 6x + 2x + 12 = 0
TO PROVE: x = -6 or x = -2
1. x2 + 6x + 2x + 12 = 0 Combining like terms

2. x2 + 8x + 12 = 0 Distributive Postulate

3. (x + 6)(x + 2) = 0 Zero product postulate

4. x + 6 = 0 or x + 2 = 0 Subtraction property of equality

5. x = -6 or x = -2 Given

I WILL REPORT U IF U DONT ANSWER CORRECTLY AND FULLY!!!!

Answers

Answer:

Concept: Mathematical Derivation

We are given x^2 +6x+2x+12 Hence we simplify: x^2 + 8x +12 Now we factor: (x+2)(x+6) By mathematical logic we now proved that the roots are x=-2 and x=-6 Give brainlist and rate positively

Meredith needs $399 to buy a tablet computer. She wants
to earn enough money babysitting to cover at least two-
thirds of the cost.
If she earns $8 an hour babysitting, write an inequality that
can be used to solve for b, the number of hours she must babysit.

Answers

Answer:

8b =266

Step-by-step explanation:

2 3rds of 399 is 266

then just solve for b

sorry if this looks weird i havent written inequalities since 8th grade

can someone please help me with this? if you end up getting it correct after I answer it ill give you 20 points more

Answers

Answer: B.

Step-by-step explanation:

The slope is 3 the y-intercept is (0,6)

hope this was helpfulllllllllllllllllllllllllllllllllll

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