Answer/Step-by-step explanation:
Museum and Worship center => alternate exterior angles (E)
Rationale: they are exterior angles positioned in opposite sides of the transversal
Bank and Day Care => Alternate Interior Angles (A)
Rationale: they are interior angles positioned opposite each other on each side of the transversal
Park and Coffee shop => vertical angles (D)
Rationale: They are angle pairs formed by the interception of two straight lines
Fire Station and Worship Center => linear pair (F)
Rationale: They are angles on a straight line
Community Center and Day Care => consecutive interior angles (B)
They are interior angles that lie in the same side of the transversal
Bank and Museum => Corresponding Angles (C)
Rationale: they have the same matching corners
1. The sum of first n terms of an arithmetic sequence is 3n²+4n
a, what is its first term?
b, write the algebraic form of the sequence.
c, find the 20th term.
Answer:
a. a₁=7, b. a_n=7n+1, c. a₂₀=141Step-by-step explanation:
a.
[tex]a_1=S_1=3\cdot1^2+4\cdot1=3+4=7[/tex]
b.
[tex]a_1+a_2=S_2\\\\a_1+a_1+d=3\cdot2^2+4\cdot2\\\\7+7+d=3\cdot4+8\\\\14+d=12+8\\\\d=6\\\\\\a_n=a_1+d(n-1)\\\\a_n=7+6(n-1)\\\\a_n=7+6n-6\\\\\underline{a_n=7n+1}[/tex]
c.
[tex]a_{20}=7\cdot20+1=141[/tex]
The cube of twice a number.
Answer:
2n^3
Step-by-step explanation:
n^3 represents the cube of the number n; therefore,
"twice the cube of a number" is 2(n^3) or 2n^3
NASA is launching a prove that will travel in a straight line to Saturn and then beyond. Use d to represent the distance from Earth to Saturn, and use q to represent the total distance the probe has traveled. Saturn has not moved relative to the probe.
Step-by-step explanation:
its c because ppl eheueebeuebeue eueeb
20 POINTS FOR YOU !!!
HELP ME PLEASE
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
given: ABCD is a parallelogram
prove: angle 1 is supplementary to angle 3
For a better understanding of the answer provided here, please have a look at the attached diagram.
The diagram has been made as per the information provided in the question.
From the statements in the question we can see that:
[1] is the angle
[2] is Supplementary
[3] is the segment bc
Thus, the above are the words or names that correctly fill in the blanks to complete the proof.
Answer:
See below.
Step-by-step explanation:
Statements: Reasons:
1) ABCD is a parallelogram : Given
2) ∠1≅∠2 : Alternate Interior Angles Are Congruent
3) ∠2+∠3=180 : Angle Addition Postulate
4) ∠1+∠3=180 : Substitution
5) ∠1 is supplementary to ∠3 : Definition of Supplementary Angles
And we're done!
Find the inverse of the one-to-one function.
y = 3x+4
Select all that apply.
Which of the following name an angle in the drawing?
Answer:
ECB
ACB
CDE (if it doesn't matter what order the letters are in)
Step-by-step explanation:
Is this a function? (2,3)(0,4)(5,9)(6,4)
-yes?
-No?
Answer:
yes
Step-by-step explanation:
Donna receives a $100 gift card to MovieStop. Her Blu-ray player is able to play both Blu-rays and DVDS, so she would like to get a combination of both. Each Blu-ray cost $25.99 and DVDs cost $15.99 each. Write an equation modeling the number of Blu-rays, b, and DVDs, d, that Donna can purchase with her gift card.
Answer:
100=25.99b+15.99dStep-by-step explanation:
step one:
let the number of Blu-rays be b and
DVDS be d,
step two:
given that Blu-rays cost $25.99each and
DVDS cost $15.99 each,
we can model the cost of the Blu-rays and DVDS, as
100=25.99b+15.99d
hence the expression for the number of Blu-rays and DVDS, is given as
100=25.99b+15.99d
(e) If f(x+3) = f(x) + f(5) then prove that: f(2)= 0 and f(5) = -f(-1)
Answer:
See below.
Step-by-step explanation:
f(x + 3) = f(x) + f(5) (Given) so:
f(2 + 3) = f(2) + f(5)
and f(2) = f(2 + 3) - f(5)
= f(5) - f(5) = 0.
f(-1) = f(-1 +3) - f(5)
= f(2) - f(5)
= f(-3)
So - f(-1) = f(3)
Also:
f(5) = f(x + 3) - f(x)
= f(x + 3 - x)
= f(3).
But f(3) = -f(-1) ( shown above),
So f(5) = -f(-1).
Find the value of x
12x
6x+28
Your answer
Step-by-step explanation:
Hey there!
By looking at the figure, the given "2x" and "6x + 28" are co-interior angle.
So,
2x + 6x + 28 = 180°. ( sum of co-interior angle is 180°)
8x + 28°=180°
8x = 180° - 28°
8x = 152°
[tex]x = \frac{152}{8} [/tex]
X = 19°
Therefore, X = 19°.
Hope it helps...
Answer:
x=19
Step-by-step explanation:
These are same-side interior angles. The Same-Side Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the same side interior angles are supplementary. This means that the sum of the two angles is equal to 180°.
2x+6x+28=180°
8x=180-28
8x=152
x=19
If (14, 25) and 49, -10) are two anchor points on a trend line, then find the equation of the line.
Answer:
14 and 49 10 are anchor points trend line to this question
if your call phone bill was $67.82 and there is a 7.5% late free tax how much will your bill will be
Answer:
$72.91
Step-by-step explanation:
1.) 0.0075 x 67.82= 5.0865
2.) 67.82+5.0865= 72.9065 but I rounded it to 72.91 because with money it doesn't go beyond the hundredths place
the first to answer correctly gets brainliest
Answer: 7.5
Step-by-step explanation:
Help help help ASAP I need help
Answer:
20
Step-by-step explanation:
Plug in 3 everywhere there is a y and solve.
(3)^2+2(3)+5
9+6+5
20
PLEASE HELP I NEED THIS
Michael read 14 books in 26 months. At the same rate, about how many books can he read in 48 months?
Answer:
336/13 books in 48 months
Step-by-step explanation:
14 books : 26 months
first, find how many books he reads in one month (by dividing the given rate by the number of months)
14 books : 26 months
/26 /26
7/13 books : 1 month
now multiply by the number of months that this problem requires
7/13 books : 1 month
*48 *48
336/13 books : 48 months
18 ft 27 ft 37 ft What is the area of this trapezoid? square feet
Answer:
832.5.
Step-by-step explanation:
sorry, but this cannot type fractions, so just take the answer.
Answer:
832.5
Step-by-step explanation:
To find the area of a trapezoid, you need to use the formula (a+b)/2 x h
a = 18 = base
b = 27 = base
h = 37 = height
18 + 27 = 45
45/2= 22.5
37 x 22.5 = 832.5
Calculate the density of benzene if 0.10L has a mass of 36.4g.
Answer:
[tex]d=0.364\ g/cm^3[/tex]
Step-by-step explanation:
It is given that,
Mass of benzene, m = 0.1 L
Mass, m = 36.4 g
We know that, 1 L = 1000 cm³
0.1 L = 100 cm³
The density of an object is equal to its mass divided by its volume. So,
[tex]\rho=\dfrac{m}{V}\\\\=\dfrac{36.4\ g}{100\ cm^3}\\\\=0.364\ g/cm^3[/tex]
So, the density of benzene is [tex]0.364\ g/cm^3[/tex].
Find the slope.
|(3, 2) and (-5,2)
Answer:
Step-by-step explanation:
Given two points
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
, the slope is defined as
XXX
m
=
Δ
y
Δ
x
=
y
2
−
y
1
x
2
−
x
1
Help me pleaseee thank you In advance please explain to me too so i know what to do next time :)
Given m||n, find the value of x.
(8x-27) (7x-4)
Answer:
56ײ-221x+108
Step-by-step explanation:
What is the Slope??????????????????
Answer:
The Slope Is -3
Step-by-step explanation:
Hope This Helps
Plz Mark Brainliest!
Can someone answer this question and make sure they show working out. Will reward brainliest to the best answer.
Answer:
8a²+8a+12b = 8a²+8a+12b
Step-by-step explanation:
first, expand the brackets
4a + 4a + 12a² + 8b + 4b - 4a²
then, collect like terms
8a + 8a² + 12b
then, rearrange
8a² + 8a + 12b
Find the distance between -7, -3 2/3 on a number line.
Answer:
3 and 1/3 because 7 minus 3 and 1/3 equals 3 2/3 or you could also do 3+3=6 and 2/3+1/3=1 and 1+6=7
The distance between -7 and -3 2/3 on the number line is 3 1/3
How to determine the distance between the numbers?The numbers are given as:
-7 and -3 2/3
Calculate the absolute difference between both numbers
d = |-7 + 3 2/3|
Evaluate the difference
d = | 3 1/3|
Evaluate the absolute value expression
d = 3 1/3
Hence, the distance between -7 and -3 2/3 on the number line is 3 1/3
Read more about number lines at:
https://brainly.com/question/4727909
BRAINLIEST ANSWER (please do it right)
Producing a musical cost $88,000 plus $5,900 per performance. One sold-out performance earns $7,500 in revenue. If every performance sells out, how many performances are needed to break even? ( solving and writing Mulit-step equation question)
Answer:
55 performances
Step-by-step explanation:
The first equation will be the total cost. The total cost has $88,000 already and then $5,900 is added with each performance. So the equation would be 88,000+5,900x because x will represent the number of performances.
y = 88,000 + 5,900x
The next equation will be how much the performances earn. If they earn $7,500 with each performance then the equation will be 7,500x, with x representing the number of performances
y = 7,500x
Now set the equations equal to each other and solve for x
7,500x = 88,000 + 5,900x
1,600x = 88,000
x = 55
They need to have 55 performances for the cost and the revenue to break even.
Please help asap!!! URGENT!!!
Answer:
b = 8√3 mm, a = 16 mm, x = 5 ft, y = 5√2 ft.
Step-by-step explanation:
With 30° 60° 90° triangles, one side will be a number, the other leg will be that number multiplied by √3, and the hypotenuse will be 2 times that original number.
So in this case:
The original leg's length is 8 mm. Side b will be that 8 times √3.
So, b = 8√3 mm.
Side a will be 8 times 2.
So, a = 16 mm.
With 45° 45° 90° triangles, the two legs will be the same length, and the hypotenuse will be that number times √2.
So in this case:
The original leg's length is 5 ft. Side x will be that same length.
So, x = 5 ft.
Side y will be 5 times √2.
So, y = 5√2 ft.
Answer:
b = 8√3 mm, a = 16 mm, x = 5 ft, y = 5√2 ft.
Step-by-step explanation:
With 30° 60° 90° triangles, one side will be a number, the other leg will be that number multiplied by √3, and the hypotenuse will be 2 times that original number.
So in this case:
The original leg's length is 8 mm. Side b will be that 8 times √3.
So, b = 8√3 mm.
Side a will be 8 times 2.
So, a = 16 mm.
With 45° 45° 90° triangles, the two legs will be the same length, and the hypotenuse will be that number times √2.
So in this case:
The original leg's length is 5 ft. Side x will be that same length.
So, x = 5 ft.
Side y will be 5 times √2.
So, y = 5√2 ft.
Slope of 4/5 help please
Answer:
I dont understand
Step-by-step explanation:
TEST SCORE Alberto got thirty-five out of forty questions correct on his geography test. To determine the
percentage of the questions he got correct, multiply the quotient of thirty-five and forty by one hundred.
Write a numerical expression to describe the percentage of the questions that Alberto got correct on his
geography test.
35/40 ×100 is a numerical expression to describe the percentage of the questions that Alberto got correct on his geography test.
Given that, Alberto got thirty-five out of forty questions correct on his geography test.
We need to determine the
percentage of the questions he got correct, and multiply the quotient of thirty-five and forty by one hundred.
How to calculate the percentage?The following formula is a common strategy to calculate a percentage:
Determine the total amount of what you want to find a percentage. Divide the number to determine the percentage. Multiply the value by 100.Now, 35/40 ×100=87.5%
Therefore, 35/40 ×100 is a numerical expression to describe the percentage of the questions that Alberto got correct on his geography test.
To learn more about a percentage visit:
https://brainly.com/question/13450942.
#SPJ2
Somebody help me please
find the slope of the line
A salt-water tank needs to contain 5 gallons of water for each 1-inch fish. If Ian has a 30-gallon tank, predict how many inch-long fish he can have.
Answer: 6 one inch fish
Step-by-step explanation: he needs to have 5 gallons of water for every one-inch fish. 6 x 5 is 30