Hey there!
x + 19 + 7x + 9 = 180°
1x + 19 + 7x + 9 = 180°
8x + 28 = 180°
SUBTRACT 28 to BOTH SIDES
8x + 28 - 28 = 180° - 28
SIMPLIFY IT!
8x = 180 - 28
8x = 152
DIVIDE 8 to BOTH SIDES
8x/8 = 152/8
SIMPLIFY IT!
x = 152/8
x = 19
Therefore, your answer should be:
x = 19
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Please help me i don get it please show your work I will give brainyleast
Answer:
81.1 in
Step-by-step explanation:
To find the surface area of a triangular prism:
Find the base area and the remaining 3 rectangles and add them all together.
1.5*2=3 (base of the shape)
2*13=26
1.5*13=19.6
2.5*13=32.5
3+26+19.6+32.5=81.1
What is the probability of choosing a gray button not replacing it and choosing gray again?
answer:
the probability of choosing a gray button is 3/5
after putting it back the probability remains the same, so 3/5 for both answers
Answer:
[tex]\sf \dfrac{3}{10}[/tex] = 0.3 - 30%
Step-by-step explanation:
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Given:
Grey buttons = 3White buttons = 2Total buttons = 5[tex]\sf P(gray) = \dfrac35[/tex]
If the button is not replaced, there are now:
Grey buttons = 3 - 1 = 2White buttons = 2Total buttons = 5 - 1 = 4[tex]\sf P(gray) = \dfrac24=\dfrac12[/tex]
Therefore,
[tex]\sf P(gray)\:AND\:P(gray)= \dfrac35 \times \dfrac12=\dfrac{3}{10}[/tex]
need help finding x
Answer:
The answer is X equals 12
Step-by-step explanation:
I hope you get it right!
Please help! Will mark brainlyest.
Answer:
8
Step-by-step explanation:
5 - (-3) is like adding 5 + 3 which is 8
Please give me brainlist
Answer:
8
Step-by-step explanation:
Phoebe is concerned that it the error is not fixed, her pay increase wll be less in future
years than it is supposed to be. If Phoebe continues
to work al the company and receives.
an increase of $0.75 per hour instead of a 5% increase. what will be the difference in her
hourly pay in 5 years? Show vour work.
The difference in the pay rate of Phoebe in 5 years will be $11850
How to calculate the pay?Your information is incomplete. Therefore, an overview will be given. Let's assume that the pay rate is $20000. When there is a 5% increase, the new pay rate will be:
= $20000 + (5% × $20000)
= $20000 + $1000
= $21000
When there is $0.75 increase per hour, the new pay rate on 5 years will be:
= (0.75 × 43800)
= $32850
The difference will be:
= $32850 - $21000
= $11850
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Subtract these polynomials.
(x^2 + 5x + 2) - (5x^2 - x - 2)
Answer:
-4x^2 + 6x +4
Step-by-step explanation:
Answer:
=x^2+5x+2+−1(5x^2−x−2)
=x^2+5x+2+−1(5x^2)+−1(−x)+(−1)(−2)
=x^2+5x+2+−5x^2+x+2
=x^2+5x+2+−5x^2+x+2
=(x^2+−5x^2)+(5x+x)+(2+2)
=−4x^2+6x+4
The triangular base of the given prism has an interior angle with a measure of 80° and an interior angle with a measure of 55°. What is the measure of the unknown angle?
A. 45°
B. 65°
C. 75°
D. 85°
Answer:
A. 45°
Step-by-step explanation:
When we are given two measurements of interior angles we add both of those angles together.
Also know that a triangle equals 180 degrees
So when we write out this expression [tex]80+55+x=180[/tex]
[tex]135+x=180\\-135=-135\\x=45[/tex]
Hope this helps
1/4x + 1 + 3/4x - 2/3 - 1/2x =
Answer:
1/2x + 1/3
Step-by-step explanation:
1/2x + 1/3
Hoy Many times as great as 10% is 100% answer
Answer: 100% is 10 times as great as 10%
Step-by-step explanation: 10 * 10 = 100 or 100 divided by 10 equals 10. Have a nice day~
Answer:
um.....10
Step-by-step explanation:
100% (1) ÷ 10% (0.10) = 10
[tex]Hope[/tex] [tex]this[/tex] [tex]helps![/tex] [tex]Have[/tex] [tex]a[/tex] [tex]great[/tex] [tex]day![/tex] [tex]:)[/tex]
The local fighter fighters collect toys to distribute a various give-away events they have 4569 toys and will sponsor 129 giveaway events. how many toys can they each give away at each event? how many toys if any, will be left over?
HELP ME PLEASEEEEE, DUE IN A FEW MINUTES!
Step-by-step explanation: 130
[tex]g(n) = 3n + 1[/tex]
[tex]h(n) = 4n + 3[/tex]
[tex](goh) (n)= g(h(n))[/tex]
[tex] = g(4n + 3) = 3(4n + 3) + 1[/tex]
[tex] = 12n + 9 + 1 = 12n + 10[/tex]
Therfore
[tex](gof)(n) = 12n + 10[/tex]
Now
[tex](gof)(10) = 12(10) + 10 = 120 + 10 = 130[/tex]
[tex](gof)(10) = 130[/tex]
I hope it helped you
Step-by-step explanation:
g(n) × h(n)
=(3n+1)(4n+3)
= 12n² +9n +4n +3
= 12n² +13n + 3
then sub 10 in place of n
12n² +13n + 3
= 12(10)²+13(10)+3
=1200+130+3
=1333
The regular tax to be paid with any purchase is 8%. How much tax did Anthony pay if he bought school supplies worth ₱5 000?
Answer:
400
Step-by-step explanation:
8% of 5000 is 400. Math:
5000 x 0.08 = 400
What is the percent of the silo that is filled with corn at 10 hours. Use the picture bellow to get the answer.
Answer:
90.93%
Step-by-step explanation:
It is clear that the table is a linear function. That is, every hour, the amount of corn increases by the same amount. You can find the slope of the linear function by using the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
In your case, the number comes out to be 825. So the number of corn will be 825*10 = 8250 cu ft.
Now, we know that the volume is area times height. So if the area is pi * r * r, then the volume of the shape is 2888*pi.
Therefore, the answer is 8250/2888*pi or 90.93%.
pizzzzzzzzzzzzzzzzzzzzzzz help pizzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help
Answer:
1. The sum of the score is 667
2. ???
3. for her to have 95 on her last score the sum would be 762
4. ???
Step-by-step explanation:
1 = add all eight scores to get the sum
3 = add 95 to the sum of the eight scores
I NEED HELP WITH THIS
Answer:
Step-by-step explanation:
a) 147
b)147
c) 152
d)65
Answer:
a) mean = 147
b) median = 147
c) mode = 152
d) range = 65
Step-by-step explanation:
firsly let’s arrange the numbers of the set in ascending order:
117 , 119 , 138 , 142 , 152 , 152 , 174 , 182
a)
[tex]Mean = \frac{117+119+138+142+152+152+174+182}{8} =\frac{1176}{8} =147[/tex]
b) the median is the average of the two middle numbers :
[tex]117,119,138, \frac{142,152}{} , 152,174,182[/tex]
[tex]median=\frac{142+152}{2}= 147[/tex]
c) the modal height is 152 because 152 is the value that appears most frequently (2 times) in our set
d) the range of a set is the difference between the highest and lowest numbers :
Then
the range = 182-117 = 65
A group photograph of a family of six (4children and their parents)is to be taken.if the parents must occupy the two middle seats.then the number of different arrangements is
Answer:
Let's find the number of arrangements with mother and father together, say N & then subtract it from total number of arrangements.
Total arrangements = 6! = 720.
Now, as mother & father are together, let's treat mother and father as a single person. Now, there're 5 persons.
Number of arrangements in this way = 5! = 120.
But mother and father can change their places in 2! = 2 ways.
N = 120 × 2 = 240.
Ans. = 720-240 = 480.
Step-by-step explanation:
Barnabas Price. Answer question attached. No reasoning required. Brainliest for first to answer correctly. Barnabas Price.
Y = 2.9
Or
X= 2.9, y= - 0.9
Hope this helps!
To approximate the length of a marsh, a surveyor walks x=420 meters from point A to point B,then turns 75 degrees and walks 220 meters to point C (see figure). Approximate the length AC of the marsh. (Round your answer to one decimal place. )
Applying the law of cosine, b² = a² + c² - 2ac(cos B), the length of AC of the marsh, to one decimal place, is: 522.1 meters
What is the Law of Cosine?The Law of Cosine is given as, b² = a² + c² - 2ac(cos B).
From the diagram given, we have the following:
B = 180 - 75 = 105°b = AC (length of the marsh)a = 220 mc = 420 mPlug in the values into the law of cosine formula:
b² = 220² + 420² - 2(220)(420)(cos 105)
b² = 272,629.8
b = √272,629.8
b = 522.1 meters. (Length of AC of the marsh)
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Use the segmants tanget to a circle theorem to find perimeter of JLNQ
Answer: 28
Step-by-step explanation:
Write an expression that is equivalent to 16 + 56 using the product of the greatest common factor and a sum. ____ • ( 2 + ____ )
Answer:
Factors of 56: 1, 2, 4, 7, 8, 14, 28 and 56
Prime Factorization of 56: 56 = 23 × 7
Step-by-step explanation:
What is the line of the slope shown below
Answer:
3
Step-by-step explanation:
[tex]\frac{-3-6}{2--1}=\frac{-9}{3}=3[/tex]A store charges a restocking fee for any returned item based upon the item price. An item priced at $200 has a fee of $12. An item priced at $150 has a fee of $9.
What percentage of the item is a restocking fee?
Divide the restocking fee by the price of the item:
12/200 = 0.06
9/150 = 0.06
Multiply by 100 to get the percent:
0.06 x 100 = 6%
Answer: 6%
If the sum of a number and six is doubled, the result is two less than the number. Find the number.
X =
Answer:
-14
Step-by-step explanation:
let the number= X
from the statement,
(X+6)×2 = X - 2
open bracket
2X +12 = X- 2
2X-X = -2-12
X = -14
I need help quick with sampling methods
0.67 divided by 10 help someone
Answer:
0.067
Step-by-step explanation:
We just move 0.67's decimal point to the right by one since we are dividing by 10.
0.67 / 10 = 0.067
Sure hope this helps you :)
Give (✿◕‿◕✿)
how would i find the volume ?
Answer:
4900
Step-by-step explanation:
You multiply lengthxwidthxheight, all the given dimensions to get (25x14x14) 4900
Figure ABcD is a parallelogram. If point C lies on the line x=2, what is the y-value of point C?
The value of y in point C is 0. So, C is located at (2, 0) in the Cartesian plane.
Given that a parallelogram ABCD is shown in the Cartesian plane.
The points are:
A = (-1, 2)
B = (2, 3)
C = (2, y)
D = (-1, -1)
We are asked to find the value of y in the point C.
To find the value of y in point C, we can use the fact that the slope of line AB is equal to the slope of line DC, and the slope of line BC is equal to the slope of line DA.
The slope of a line passing through two points (x₁, y₁) and (x₂, y₂) is given by:
slope = (y₂ - y₁) / (x₂ - x₁)
Let's calculate the slope of line AB and DC:
Slope of AB = (3 - 2) / (2 - (-1))
= 1 / 3
∴ Slope of DC = 1 / 3.
So,
1/3 = (y+1) / (2+1)
1/3 = (y + 1) / 3
y + 1 = 1
y = 0
Hence, we get the value of y in point C is 0.
[Note:- you can simply look at the graph and can determine the location of the point C]
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[tex] - 5 = a - 3[/tex]
I need help with this problem
[tex]~~-5=a-3\\\\\implies a =-5+3\\\\\implies a = -2[/tex]
What is the first part of the second step to prove that Sn 1 + 2 + 4 +. + 2n - 1 = 2n - 1? a. Show that Sn is valid for n = k c. Assume that Sn is valid for n = k b. Verify that Sn is valid for n = 1 d. Prove that Sn is valid for n = k + 1
The first part of the second step to prove the sequence is to prove that Sn is valid for n = k + 1, Option D is correct.
What is geometric sequence?Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.
The sum of geometric sequence is given as,
[tex]s_n=\dfrac{r^n-1}{r-1}[/tex]
Here, a is the first term of the sequence, n is total terms and r is the common ratio.
The given equation which need to be proved is,
[tex]S_n= 1 + 2 + 4 +. ...+ 2n - 1 = 2n - 1[/tex]
This can be proved by induction method. This can be done by induction method with two steps:
Prove n=0, without getting any data of other cases.If the data or problem is given then assume n=k. For the given case is also true for n=k+1. Thus, in second step prove that Sn is vaild for n=k+1.Thus, the first part of the second step to prove the sequence is to prove that Sn is valid for n = k + 1, Option D is correct.
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A farmer is planting a circular garden with a radius of 32 feet and needs to know the area to determine how many plants to purchase.
What is the area of the garden?
Use 3.14 for π.
Enter your answer, as a decimal, in the box.
Answer:
3215.36 ft^2.
Step-by-step explanation:
Area = 3.14 * r^2
= 3.14 * 32^2
= 3215.36 ft^2.