Given: What type of angles are ∠2 and ∠3 are adjacent angles.
Which of the following options describes the adjacent angles in terms of their sum? complementary angles, 90° complementary angles, 180° supplementary angles, 90° supplementary angles, 180°
Answers
_____________________________________________________
Note:
Choices:
_____________________________________________________
[B]: "complementary angles, 180° " ; and:
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[C]: "supplementary angles, 90° " ;
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can automatically be ruled out ; since by definition:
→ Complementary angles always add up to 90° — NOT 180° ;
and: supplementary angles always add up to 180° — NOT 90° .
_____________________________________________________
Note: "Adjacent angles" refer to "supplementary angles" ; which, by definition add up to 180° . Futhermore, looking at the image provided,
we see that ∠1 and ∠2 are, in fact "adjacent" and that ∠1 and ∠2 comprise the entire portion of a "straight line" (being intersected by a transversal)" ;
and as such; ∠1 and ∠2 are supplementary angles—
and as such—add up to 180° .
(which rules out: Choice [A]: "complementary angles, 90°) ;
→ and demonstrates the correct answer:
______________________________________________________
Answer choice: [D]: "supplementary angles, 180° " .
______________________________________________________
Final answer:
Adjacent angles can be either complementary or supplementary depending on their sum. Complementary angles add up to 90°, while supplementary angles sum to 180°. The term for adjacent angles in terms of their sum is 'supplementary angles', adding up to 180°.
Explanation:
Adjacent angles are two angles that have a common side and vertex, and don't overlap. In terms of their sum, if adjacent angles add up to 90 degrees, they are called complementary angles. If they add up to 180 degrees, they are called supplementary angles. Since the question involves angles ∠2 and ∠3 as adjacent angles but does not provide their specific measures, it's not possible to definitively classify them as complementary or supplementary without additional information. However, the question asks which term describes adjacent angles in terms of their sum. The correct answer is supplementary angles, which have a sum of 180°.
Related Questions
You sell bracelets for $2 each and necklaces for $3 each at a local flea market. You collect. $95, selling a total of 37 jewelry items. How many of each type of jewelry did you sell?
Answers
For an instance, b stands for the number of bracelets, n stands for the number of necklaces.
⇒ Total collected money is $95, $2 per bracelet, $3 per necklace
2b + 3n = 95 (first equation)
⇒ 37 jewelry items have been sold
b + n = 37
Find the number of necklaces (n) by eliminating the number of bracelets (b) from the equation system
2b + 3n = 95
b + n = 37 (multiply by 2)
----------------------------------------
2b + 3n = 95
2b + 2n = 74
---------------- - (substract)
n = 21
Find the number of bracelets by substituting the value of n to either of the equations
b + n = 37
b + 21 = 37
b = 37 - 21
b = 16
Type of jewelry have been sold: 16 bracelets, 21 necklaces
1.
Kara, a 25-year-old female, bought a $50,000, 10-year life insurance policy through her employer. Kara is paid semimonthly. How much is deducted from each of her paychecks for life insurance? Use the table.
A. $4.81
B. $5.21
C. $6.25
D. $6.77
2.
Dawson, a 42-year-old male, bought a $180,000, 20-year life insurance policy. What is Dawson's annual premium? Use the table.
A.$819.00
B.$1040.40
C.$1859.40
D.$2462.40
Answers
Answer:
The answer for number one is $5.21. NOT $6.25
Step-by-step explanation:
The amount deducted from the paychecks are: 6.25 dollars
The annual premium of Dawson is D.$2462.40
How to solve for the annual premiumTo get Karas annual premium
$1000 of coverage.
$50,000 at 2.50 dollars cost
since she is paid semi monthly
2.50 / 2 = 1.25
annual premium = 1.25 / 100 * 50
= 6.25 dollars
2. Under 20 year coverage for a 40 - 44 year old mail we have $13.68 as the amount
180000 / 1000
= 180
180 x 13.68
= D.$2462.40
Read more on coverage here https://brainly.com/question/8972747
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Robin's scores: 99, 108, 102, 107, 119 mean = 107; mad = 5.2 evelyn's scores: 125, 137, 138, 145, 145 mean = 138; mad = 5.6 explain what the mean absolute deviation is in general. explain what the mad means in the context of robin and evelyn's data.
Answers
Answer:
The MAD describes the average distance from a data point to the mean. It measures variability. For this data, it shows that Evelyn’s scores varied slightly more than Robin’s.
Step-by-step explanation:
Answer:
Sample response: The MAD describes the average distance from a data point to the mean. It measures variability. For this data, it shows that Evelyn’s scores varied slightly more than Robin’s.
Or
The MAD measures the average distance between a data point and the mean. It measures variation. According to this information, Evelyn's scores varied a little more than Robin's.
Step-by-step explanation:
Took the test on edge! Hope this helps! have a great day!
What is the length of the base of a right triangle with an area of 15 m² and a height of 3 m?
Answers
Answer: 10
Answer:
10 m
Step-by-step explanation:
I did the test
What is the sum of the series?
2+4+8+16+...+512
542
766
1022
1084
Answers
Answer:
The correct answer is 1,022. Hope this helps.
Source: Just took quiz and got 100%
Fractions must have a common denominator in order to subtract them. TrueFalse
Answers
The numerator of a fraction is the number that is written in the upper part of it and the denominator is the number that is written in the lower part.
To substract fractions, they must have a common denominator. There is two cases:
1. When the fractions have the same denominator, you just have to rewrite the denominator and substract the numerators. For example:
8/3-1/3=(8-1)/3=7/3
2. When the fractions have different denominators, you must calculate the Least commom multiple (LCM):
5/2-3/4
L.C.M.=2²=4
(10-3)/4=7/4
Answer:
true
A numerator of a fraction is the number that is written in the upper part of it and the denominator is the number that is written in the lower part.
Find the GCF of the following literal terms. m^7 n^4 p^3 and mn^12 p^5
m[]n[]p[]
Answers
Answer:
The GCF of following literal terms is [tex]m^1n^4p^3[/tex].
Step-by-step explanation:
The given literal terms are
[tex]m^7n^4p^3[/tex]
[tex]m^1n^{12}p^5[/tex]
The factored form of the given terms are
[tex]m^7n^4p^3=m\times m\times m\times m\times m\times m\times m\times n\times n\times n\times n\times p\times p\times p[/tex]
[tex]mn^{12}p^5=m\times n\times n\times n\times n\times n\times n\times n\times n\times n\times n\times n\times n\times p\times p\times p\times p\times p[/tex]
The common factors are m,n,n,n,n,p,p,p. So, the G.greatest common factors is
[tex]GCF=m\times n\times n\times n\times n\times p\times p\times p[/tex]
[tex]GCF=m^1n^4p^3[/tex]
Therefore the GCF of following literal terms is [tex]m^1n^4p^3[/tex].
Vicente wants to plant 3 different types of onions in 1/4 of his garden. He will use an equal amount of space to pkant each ytpe of onion. what fraction of the total garden space will contain each type of onion
Answers
= 1/4 ÷ 3
when dividing fractions, multiply by reciprocal/inverse
= 1/4 ÷ 3/1
= 1/4 * 1/3
= (1*1)/(4*3)
= 1/12
He has 1/12 of his garden for each type of onion.
Hope this helps! :)
Use the three steps to solve the problem. Betty has 10 more dimes than quarters. If she has $3.45, how many coins does she have?
Answers
Let
x-----------> number of dimes
y-----------> number of quarters
Step 2: set the equation and solve for the variable
we know that
0.10 x+0.25 y=3.45---------------> 10x+25y=345 equation (1)
x=y+10 equation (2)
substituting 2 in 1
10[y+10]+25y=345----> 10y+100+25y=345
35y=345-100-----------> y=245/35=7
x=y+10--------> x=7+10=17
Step 3: plug in the value of x and y from last step into the variables.
y=7--------> number of quarters coins
x=17-------> number of dimes coins
She has (7+17)=24 coins in total
Thus, 0.25x + 0.1(10+x) = 3.45
= 0.25x +1 +0.1 x = 3.45
= 0.35 x = 3.45 -1
= 0.35x = 2.45
x = 7
Therefore, the quarters are 7, while the dimes were 17,
Thus a total of 24 coins
The Mid-Atlantic Ridge is a spreading crack between crack between continental plates and it moves apart at 2.5 cm per year. New York is 5567 km from London. In 1,000,000 years, how many far apart will New York be from London.
Answers
Wendy took a trip from one city to another, a distance of 580 mi. she traveled part of the way by bus, which arrived at the train station just in time for wendy to complete her journey by train. the bus averaged 40 mi/h, and the train averaged 80 mi/h. the entire trip took 9 1 2 h. how long did wendy spend on the train?
Answers
and therefore, she took (580-x) mi by train, thus the time taken with train was (580-x)/80 hours.
Hence, x/40 +(580-x)/80 = 9.5 hours
80(x/40) +80 (580-x)/80 = (9.5)80
= 2x + 580-x = 760
x= 760-580
x = 180
Thus the train covered a distance of (580-x) =580-180 = 400
Hence, Wendy took 400/80 = 5 hours on the train
Find all the zeros of x^3-5x^2-x+5
Answers
The zeros are x = -1, +1, +5.
___
A graphing calculator confirms this.
Find the probability that the student is male or a nursing major.
Answers
The table below shows the number of male and female students enrolled in nursing at a particular university for a recent semester. (a) y Find the probability that a randomly selected student is male or a nursing major.
see the attached table
a) the probability that a randomly selected student is male, or a nursing major
total students=[1151+2409]=3560
total male=[98+1053]=1151
P (selected student is male)=1151/3560=0.3233
total nursing mayor=[98+741]=839
P (selected student is nursing major)=839/3560=0.2357
P(selected student is male, or a nursing major)=0.3233+0.2357=0.5590
the answer is 0.5590 (55.90%)
The probability that a student is male or a nursing major is expressed by the formula P(M OR N) = P(M) + P(N) - P(M AND N), which requires actual data to calculate.
Explanation:To find the probability that a student is male or a nursing major, we can use the principle of addition in probabilities. Let's denote P(M) as the probability that a student is male, P(N) as the probability that a student is a nursing major, and P(M AND N) as the probability that a student is both male and a nursing major. The formula for the probability of either event occurring is given by P(M OR N) = P(M) + P(N) - P(M AND N). We need actual data to calculate these probabilities.
Since we don't have the actual probabilities, we can only provide the symbolic representation of the required probability as P(M OR N). However, if the events of being male and majoring in nursing are mutually exclusive (which in reality, they are not), the probability would simplify to just the sum of the two individual probabilities, P(M) + P(N).
which best describes a number that cannot be irrational
Answers
Answer:
All numbers that can be made by dividing two integers cannot be irrational.Step-by-step explanation:
Irrational numbers are real number that cannot be expressed as the quotient between two integers, remember that integers are whole numbers, that is, they don't have a fractional part.
So, all numbers that can be made by dividing two integers cannot be irrational.
For example, number 3/2 is not an irrational number, because it can be expressed as the divison of two integers.
Anybody have the answer to this?
Answers
one leg is 2.4 in
the other leg is 7.4/2=3.7 in (radius)
the hypotenuse is
c^2=a^2+b^2
c^2=5.76+13.69=19.45
c=sqrt 19.45=4.41 in
-(-(-)(-)(-10x))=-5 solve for x
Answers
We need to cancel out the negatives, so we need to simplify this.
To make things a bit easier for you, we can begin by counting out how many negatives we have. After counting, you should have a negative number count of 5. However, one of the negatives is apart of (-10x) so we'll have 4 negatives and then an extra negative in with 10x.
Remember that "-" could also be looked at as "-1."
So, if we break this down into smaller parts and substitute "-" into "-1," then this'll look like this :
-1 × -1 × -1 × -1 × (-10x) = -5
Remember that a negative times a negative is always a positive.
So, since there are four negatives, then you just multiply it all together.
This results in 1 × (-10x) = -5
Simplify.
-10x = -5
Now, you simply divide both sides by -10.
-10x ÷ -10 = -5 ÷ -10
Simplify.
x = 1/2
~Hope I helped!~
A scientist wants to find the radius, in feet, of this hemispherical dome. He found that the surface area of the entire sphere containing the dome is 294 square feet. Which equation could he use to find the dome's radius?
A. r2=294 square feet ÷ 4π
B. r2=294 square feet ÷ 2π
C. r2=294 square feet ÷ π
D.r2=588 square feet ÷ 4π
Answers
A = 4 * π * r ^ 2
Where,
r: radius of the sphere.
Substituting the values we have:
294 = 4 * π * r ^ 2
We cleared the radio:
r ^ 2 = (294) / (4 * π)
Answer:
An equation that I could use to find the dome's radius is:
A. r2 = 294 square feet ÷ 4π
Answer:
A. r2 = 294 square feet ÷ 4π
Help me please!!!!!!!!!!!!
Answers
The 2nd selection is appropriate.
what is the constant of variation for the quadratic variation of x |2|3|4|5|6| fx |28|63|112|175|252|
Answers
You can find k using only the first point.
28 = k*2^2
7 = k
The constant of variation is 7.
Write an equation in point-slope form of the line having the given slope that contains the given point. m=56m=56m (30,12)
Answers
We have a point (30, 12) and a slope of 56.
So we write [tex]y-12=56(x-30)[/tex]. And we're done.
What is the domain of the graphed function?
A) y ≥ 4
B) x ≥ -2
C) y ≥ -2
D) x ≤ -2
Answers
Bacteria triples every hour. How much bacteria will there be after two days if they started with 13,000 bacteria.
Answers
Now we take the one hours worth 39,000 • 48 (hours in two days) = 1,872,000
Hope this helps!
The sides of a square are 5^2/5. What is the area of the square?
A. 5^4/5 square inches
B. 5^4/25 square inches
C. 25^4/5 square inches
D. 25^4/25 square inches
Answers
A=(s)(s)
A=s²
"A" is the area of the square.
"s" is the lenght of the side of the square.
2. So, the lenght of the side given in the problem is 5^2/5 inches (s=5^2/5 inches). Therefore, you only have to substitute this value into the formula A=s².
3. Then, you obtain:
A=s²
A=(5^2/5 inches)²
A=5^4/5 inches²
What is the area of the square?
The answer is: A. 5^4/5 square inches.
Cycle paths inc, makes bicycles,tricycles,and unicycles. last week they made 88 more bicycles than unicycles, and 5 times as many tricycles as unicycles. if they made 40 more bicycles than tricycles, how many unicycles did they make
Answers
x = bicycles
y = tricycles
z = unicycles
We write the following system of equations:
x = 88 + z
y = 5z
x = 40 + y
We solve the equation system for z:
1) x = 40 + y
2) y = 5z
3) x = 88 + z
Substituting x and y in equation 1:
88 + z = 40 + 5z
We cleared z:
4z = 88-40
z = 48/4
z = 12
Answer:
They did make 12 unicycles
3.6m by 1.8 m wall How many 6 cm by 6 cm pictures could fit on the wall?
Answers
(1.8*100)/6=30
60*30=1800
there are 1800 pictures could fit on the wall.
Answer:
1800 pictures could fit on the wall.
Step-by-step explanation:
If the area of a space is given as A and this space is to be filled by pictures of area A' then number of pictures will be = [tex]\frac{A}{A'}[/tex]
Now we know area of wall is A and area of picture is A'.
Length and width of wall = 3.6×1.8 m
So area of the wall A = 3.6×1.8 = 6.48 m²
Dimensions of one picture = 6×6 cm Or 0.06×0.06 m
So are of one picture A' = 0.0036 m²
Therefore, Number of pictures on the wall = [tex]\frac{A}{A'}[/tex] = [tex]\frac{6.48}{0.0036}=1800[/tex]
Number of pictures required to cover the wall = 1800
If the area of the trapezoid is 2.52 cm 2, what is the height? A 0.45 cm B 0.9 cm
C 2.1 cm D 2.2 cm
Answers
Answer:
0.9cm
Step-by-step explanation:
That was the answer on my assignment.
Jennifer had $30 to spend on herself. She spent 1\5 of the money on a sandwich, 1\6 for a ticket to a musuem, and 1\2 of it on a book. How much money does she have left over?
Answers
Ticket- 5
Book- 15
6+5+15 = 26
30-26 = 4
Answer = $4
I need the answer to the blank questions
Answers
n 12 part a)
actual distance-------------> 124 miles
map distance----------------> 4 cms
scale factor of the map =124 miles/4 cms=31 miles/cm
n 12 part b)
map distance=21 cms
actual distance?
[actual distance]=[map distance]*factor scale-----------> 21*(31)=651 miles
n 13)
we know that
(13.5/9)=(x/8)--------------> x=(13.5/9)*8-----------> x=12 units
n14)
we have that
x/26=(32-x)/18-----------> 18x=832-26x--------> x=18.91 units
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle B?
Enter your answer in the box.
m∠B=
°
Answers
7x° = 180°-19°
7x° = 161°
x = 23°
m∠B = 6(23) + 19
= 157°
Answer:
∠B=157°
Step-by-step explanation:
It is given that Quadrilateral ABCD is inscribed in the circle.
Also, we know that if the Quadrilateral ABCD is inscribed in the circle, then the opposite angles of the quadrilateral are supplementary by the property of circles. Then,
∠B+∠D=180°
⇒[tex]x+6x+19=180[/tex]
⇒[tex]7x+19=180[/tex]
⇒[tex]7x=161[/tex]
⇒[tex]x=23^{{\circ}}[/tex]
Thus, the value of ∠B=6x+19=6(23)+19=138+19=157°.
"there are 362 first-grade students in park elementary school. if there are 34 more girls than boys, how many girls are there"
Answers
you subtract 34 from 362 which is 328
you then divide 328 by 2 which is 164
next you add 34 to 164 which gives you 198 which is the number of girls