you are given the measure of angle 4. You also know the following angles are supplementary: Angles 1 and 2, angles 2 and 3, angles 1 and 4. Explain how you can determine the measures of angles 1, 2, and 3.

Answers

Answer 1

If you are given the measure of angle 4, then we know angle 2 is equal since it is a vertical angle. The angle of a line is 180 degrees, so subtract the measure of angle 4 (and/or 2) which will give you the angle measure for both angle 1 and 3, since those are also equal due to vertical angles. Hope that helped! :)

Answer 2

Final answer:

To find the measures of angles 1, 2, and 3, use the fact that angle 1 is supplementary to both angles 2 and 4, and angles 2 and 3 are supplementary. Set up equations and solve them simultaneously to find the measures of the angles.

Explanation:

To determine the measures of angles 1, 2, and 3, we can use the information that angle 1 is supplementary to both angles 2 and 4, and angles 2 and 3 are supplementary. Since angles that are supplementary add up to 180 degrees, we can set up equations to solve for the measures of angles 1, 2, and 3.

Let's represent the measure of angle 4 as x. Then we can write the equations:

Angle 1 + Angle 4 = 180 degreesAngle 2 + Angle 3 = 180 degreesAngle 1 + Angle 2 = 180 degrees

Substituting x for the measure of angle 4, we can solve these equations simultaneously to find the measures of angles 1, 2, and 3.

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Related Questions

Choices are associative property and commutative property opposite of a sum property

Answers

It would be associative property because the order of the numbers stayed the same

25386 to the nearest 1000

Answers

i think the answer is 25000

25000 is the answer...

A group of 19 students want to see the show at the planetarium. Tickets cost $11 for each student portal who is a member of the planetarium's frequent visitor program and $13 for each student who is not a member. The total cost of the students tickets is $209. Joining the frequent visitor program at the planetarium costs $5 per year. Write an equation that can be used to determine n, the number of visits per year for which the cost of being a member of the frequent visitor program is equal to the cost of not being a member.

Answers

Let us say that:

x = number of students who are members.

Since both groups went together to the planetarium, therefore this means that 19-x is the number of students who are not member

Since x paid $11 for tickets and (19-x) paid $13 so the total cost of the tickets is:

$11x + $13(19-x) = $209

Solving for x would get us the number of members:

11x + 247 – 13x = 209

-2x = -38

x = 19

Therefore this means that all students are members.

2 for $9. what is the unit price?

Answers

9/2
4.50

Hope this helped!

$4.50 is ur answer all u do is 9 divided by 2

Which triangle is a translation of triangle ABC?

MNO
PQR
STU
VWX

Answers

I think it’s MNO but I really don’t know

Answer:

MNO

Step by step:

A translation is the shifting of a figure from one place to another without rotating, reflecting or changing its size. So when you look at all of the answer choices then look at the definition of translation you see that MNO fits all the criterias.

(I am going with the assumption that this is the question since you gave no picture.)

(MNO is the correct answer for plato.)

When a fraction of 17 is taken away from 17 what remains exceeds one-third of seventeen by six.

Answers

1/3x17/1=51/1 that's how you do it by explaining

Answer:

The fraction taken away from 17 is [tex]\frac{16}{3}[/tex]

Step-by-step explanation:

The simplest way to solve this word problem is to set to equations equal to one another and solve the missing fraction.

The one side of the equation is 17 subtracted by an unknown fraction.

The other side is one third of seventeen added to 6.

[tex]17-x=\frac{1}{3}(17)+6\\x=17-6-\frac{1}{3}(17)\\x=11-\frac{17}{3} \\x=\frac{33}{3} -\frac{17}{3}\\x=\frac{16}{3}[/tex]

Anybody know this answer ?

Answers

xy^2/(x^3 y^3)

1/(x^2 y) is the answer

Bobby Hsu is an office manager at a weekly newspaper. He earns $22.50 per hour. How many hours per week does Bobby work if he earns $522.00 per week?

Answers

about 23 hours divide $522 by $22.50

suppose 25 out of 175 people said they like to play disc golf and out 5 out of every twelve of the players have a personalized black disc at the Staybridge in a group of 252 people predict how many you would expect to have a personalized flying disc

Answers

We have [tex] \frac{5}{12} [/tex] of 252 people who have a personalized black disc

Number of people who would have personalized flying disc = [tex] \frac{5}{12}*252= \frac{2*252}{12}=105 [/tex] people

Then we work out the number of people who like to play disc golf:
[tex] \frac{25}{175}*105= \frac{25*105}{175}=15 [/tex] people

So we have 15 people who like to play disc golf and have personalised black disc.

What is 8.5 as a mixed number in simplest form

Answers

8 5/10
8 1/2

Hope this helped!

The decimal 8.5 can be converted to a mixed number in simplest form by simply applying logic. 0.5 is 1/2 so 8?5 is just 8 1/2 as a simplified mixed number.

I hope this helps!

A farmer has 25 yards of fencing to make a pig pen. He is going to use the side of the barn as one of the sides of the fence, so he only needs to fence 3 sides. What should be the dimensions of the fence in order to maximize the area?

Answers

a square gives the largest area

25 yards of fence = 25*3 = 75 feet

75/3 = 25 feet

so the dimension should be 25 feet by 25 feet

the area would be 25^2 = 625 square feet

what is the reciprocal of the fraction 3 5/6

Answers

the reciprocal is 6/23 because once you change it into a mixed number you get 23/6 then you flip it

Need help on part b asap

Answers

the answer gotta be b or d

You have the first part correct. The area 36pi comes from squaring 6 to get 36.

The diameter 12 is cut in half to get the radius 6.

Add on 3 to the radius to get 3+6 = 9. The new radius is 9 which squares to 81. That's why the answer is choice D for the problem on the right.

Is -2.74 a rational number?

Answers

yes, in mathematics, a rational number is any numberthat can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

Yes -2.74 is a rational number a negative number is a rational number always then 2.74 is not is a positive number so it's never rational

How does an underestimate relate to rounding factors before estimating?

Answers

when both factors in a multiplication problem are rounded up to estimate the product, the estimate is an overestimate.

When you round up, you overestimate because now numbers are bigger than before rounding. In a similar way, when you round down, you underestimate. And, when you round down some factors and round up others, it is hard to tell whether the estimate is an overestimate or an underestimate.

Please show your work with each expression. Simplify.

6a - 2b^2 a=9 b=5

4d^3 + 6e^2 - 8d ÷ 2 d=2 e=3

5r^2 ÷ 4 + 4s ÷ 3r r=4 s=9

Answers

(replace the variables) 6(9)-2(5)^2
(simplified) 54-10^2.... 54-100=-46

mrs. jenkins was arranging chairs for a school awards assembly. each row contained 15 chairs. if there were 21 rows many chairs had to be arranged?

Answers

315 is the answer to this question

Answer: 315 chairs had to be arranged .

Step-by-step explanation:

Given : Mrs. Jenkins was arranging chairs for a school awards assembly.

Number of chairs in each row = 15

Then by using MULTIPLICATION OPERATION, the number of chairs in 21 rows :-

[tex]15\times21=315[/tex]

Therefore, the total number of chairs had to be arranged =315

The sum of 17 and twice a number is 87. Find the number.

Answers

" the sum " means add

17 + 2x = 87
2x = 87 - 17
2x = 70
x = 70/2
x = 35 <==

what is 0.14, 1/8, and 1.9% ordered from least to greatest?

Answers

First change 1/8 and 1.9% to a decimal.
1/8 = .125
1.9% = .019
Now lets order them.
To order them we look at the first number after the decimal and compare. We see that 0.14 has a 1 and .125 has a 1 and .019 has a 0. Since 0 is less than the others it is first in our list. So 1.9% is first. Now lets look at .14 and .125.We look at the second number, which .14 has a 4 and .125 has a 2 so since 2 is less than 4 that means .125 1/8 is next in our list and then the only one we have left is .14 so that is last in our list

Our List / Order
.019, .125, .14
1.9%, 1/8, .14

To order 0.14, 1/8, and 1.9% from least to greatest, we first convert them all to decimal form, which gives us 0.14, 0.125, and 0.019 respectively. The ordered list from least to greatest is 1.9%, 1/8, 0.14.

The question requires ordering the numbers 0.14, 1/8, and 1.9% from least to greatest. First, we convert all numbers to decimal form: 0.14 remains the same, 1/8 is equivalent to 0.125, and 1.9% is the same as 0.019 when converted to decimal form. Now, we have 0.14, 0.125, and 0.019. Ordering these decimals from least to greatest, we get 0.019, 0.125, and 0.14.

Therefore, when ordered from least to greatest, 1.9%, 1/8, and 0.14 become 1.9%, 1/8, and 0.14 respectively.

he new Coat and Jacket Store was ready to open. The workers put out 42 racks of men’s and boy’s coats and jackets with 16 items on each rack. They also put out 35 racks of women’s and girl’s coats with 24 items on each rack. How many coats and jackets were on the store racks? A. 42 + 16 + 35 = 93 and 93 x 24 = 2,232 coats and jackets B. 42 + 35 = 77 and 16 + 24 = 40 and 35 x 40 = 1,400 coats and jackets C. 42 x 16 = 672 and 35 x 24 = 840 and 840 + 672 = 1,512 coats and jackets D. 42 + 16 = 58 and 35 + 24 = 59 and 59 + 58 = 117 coats and jackets

Answers

42 x 16=672
35 x 24=840

672+840=1512

C. 42 x 16 = 672 and 35 x 24 = 840 and 840 + 672 = 1,512 coats and jackets

Twice a number increased by 3 is 45. What is the number?

Answers

135 because 45x3=135 at least I'm sure this is what you mean

2N+3=45

2N = 42

N = 42/2 = 21

N = 21

Huda made 8 matching bracelets. She used 128 beads in all. How many beads did she use per bracelet? 10 beads per bracelet 12 beads per bracelet 14 beads per bracelet 16 beads per bracelet

Answers

The answer is sixteen. (16)

128 / 8=16

If Huda made 8 matching bracelets. She used 128 beads in all. Then 16 beads she used per bracelet.

What is Division?

A division is a process of splitting a specific amount into equal parts.

Given,

The number of beads Huda used are one hundred twenty eight

Number of beads=128

The number of bracelets huda made by using 128 beads is 8 bracelets.

We have to find in each bracelet how many beads Huda used.

This can be achieved by division.

We have to split 128 beads into eight groups.

128/8=16

In each group has 16 beads. Which means each bracelet has 16 beads.

Hence 16 beads she used per bracelet.

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June is working on an addition problem and starts with 17,985. After she adds she still has 17,985. Which property of addition did June use? How do u know? please help me as fast as possible im doing this right now

Answers

u start with 17,985...u add a number and the result is still 17,985. There is only 1 way this can happen and that is if the number u added was 0.

17,985 + 0 = 17,985....this is the additive identity property...which simply states that u can add 0 to a number and it still keeps its identity.

Answer:

Additive Identity

Step-by-step explanation:

Given number: 17985

Let say June added x to this no.

The result of the addition = 17985

Result = 17985 + x

17985 = 17985 + x

Thus, x = 0.

This means that June added "0" (zero) to the number. This is additive identity. As per this property, when additive identity is added to a number, the number remains unchanged.

10x + 9 as a word phrase

Answers

"Ten times a number plus 9" Is the correct way to write this equation.

what is the value of "x" in 16^2 = x

Answers

16^2 = 16 * 16 =256

x = 256

What is the unit rate for 3 inches of rain in 6 hours?

Answers

You would multiply 3*6

1/2 (.5) inches an hour

Elena has one and a half times as much money as ramon. together they have $225. how much money does each have? choices for ramon's amount: 80, 90, 95

Answers

e + r = 225
e = 1.5r.......1 1/2 = 1.5

1.5r + r = 225
2.5r = 225
r = 225/2.5
r = 90 <== raymon

e = 1.5r
e = 1.5(90)
e = 135 <=== elena

The sum of three consecutive odd integers is 72 more than the smaller integer. What are the integers? plz show work.ASAP

Answers

Let the consecutive odd no. be X, Y, and Z.
Since they are consecutive,
Y = X+2 and Z = Y+2 = X+4.
Now,
X+Y+Z = X+72 (according to question)
Substituting,
3X + 6 = 72
3X = 72 - 6 = 66
Therefore,
X = (66/3) = 22
Y = 24
Z = 26

how to solve -24-1/8p=3/8p?

Answers

first u divide both sides by 8

you get
-192-p=3p

collect like terms
-p-3p= 192

divide both sides by -4
-4p=192

P= -48

What is "40x = 5y (w - 3z)" (Solve for w)

Answers

Okee dokee, solve for w when 40x=5y(w-3z), so it's will gonna be like this:
40x=5y(w-3z)
40x=5yw-15yz
+15yz +15yz
40x+15yz=5yw
/5y /5y
40x/5y+3z=w
8x/y+3x=3, this is the final answer.

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