there are two types of angles i want you to note.
1. complimentary angle
2. supplementary angle
complimentary angles are two angles that are equal to 90 degrees
sumplimentary angles are two or more angles that are equal to 180 degrees
in this case, the angles are not compliementary because they're above 90 degrees
noticed how i added an extra x?
well, the sum of supplimentary angles is equal to 180 degree (that's established already)
note: angles on a straight line is equal to 180 degree. i had to complete the line in this case so as to find the total angles on that straight line which are x , (x - 12) and 62 degrees respectively
now we can go straight to find x
\(\begin{gathered} x+(x-12)+62=180^0 \\ (\text{angles on a straight line = 180)} \\ x+x-12+62=180 \\ 2x+50=180 \\ 2x=180-50 \\ 2x=130 \\ \frac{2x}{2}=\frac{130}{2} \\ x=65^0 \end{gathered}\)now that we know x = 65, we can find
what is the algebraic expression of the price of a video game system plus 9% sales tax
EXPLANATION:
Given;
We are given the price of a video game system plus a 9% sales tax.
Required;
We are required to find an algebraic expression to represent the above condition.
Step-by-step solution;
The price is yet unknown. Therefore let the price be represented by x.
Also the sales tax is given as 9% which in decimal would be 0.09, that is;
\(9\%=\frac{9}{100}=0.09\)The price plus the sales tax therefore would be;
\(\begin{gathered} Price=x \\ Sales\text{ }tax=0.09\times x \\ Sales\text{ }tax=0.09x \end{gathered}\)\(Price+sales\text{ }tax=x+0.09x\)ANSWER:
\(x+0.09x\)What is the likelihood
that all 21 students in a class share the same birthday? Explain.
Quick please!
Answer:
it is not likey bc inless the class have over 2 mil ppl in it itis doouptfull
Step-by-step explanation:
7. What is the ratio of the interior angles of a pentagon and a decagon?
Answer:
A pentagon has 5 sides.
Sum of the interior angles = ( n - 2) x 180
Sum of the interior angles = ( 5 - 2) x 180
Sum of the interior angles = 540°
STEP 2: Find one interior angle:
one interior angle = 540 ÷ 5 = 108°
STEP 3: Find the sum of interior angles of a decagon
A decagon has 10 sides
Sum of the interior angles = ( n - 2) x 180
Sum of the interior angles = ( 10 - 2) x 180
Sum of the interior angles = 1440°
STEP 4: Find one interior angle:
one interior angle = 1440 ÷ 10 = 144°
STEP 5: Find the ratio:
Pentagon : Decagon = 108 : 144
Simplify:
Pentagon : Decagon = 3 : 4
Answer: The ratio is 3 : 4
Reflect Pre Image coordinates over the x and then the y axis
Answer:
(0,-3)=y axis
(-6,3)=y axis
(0,9)= x-axis
Use the given categorical data to construct the relative frequency distribution. Natural births randomly selected from four hospitals in a highly populated region occurred on the days of the week (in the order of Monday through Sunday) with the frequencies 53, 63, 68, 58, 61, 43, 54. Does it appear that such births occur on the days of the week with equal frequency?
Answer: Yes
Step-by-step explanation:
See explanations in the attached document
A body of 60000g is moved through a distance of 8m. Calculate the work done. [take g=10m/s^2]
Answer:
8m=10m
Step-by-step explanation:
What is greater 6ft or 300cm
I think it; 300cm is greater.
Why; 300 cm make 9 ft.
9 ft > 6 ft
300cm is greater than 6 ft.
What is unit conversion?Unit conversion is a multi-step procedure that includes rounding, selecting the appropriate number of significant digits, and multiplying or dividing by a numerical factor.
For this problem, we need to do a unit conversion between ft and cm. since,
1 ft = 30.48 cm
6 ft = 182.88 cm.
Therefore 300cm is greater than 6 ft.
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6) 1,1,3,8,19, 41
a) 60
b) 81
c) 90
d) 101
Analogias
The next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term. None of the option is correct.
To find the pattern in the sequence 1, 1, 3, 8, 19, 41, we can examine the differences between consecutive terms:
1 1 3 8 19 41
0 2 5 11 22
Looking at the differences, we can observe that each subsequent difference is obtained by adding consecutive odd numbers: 2, 3, 4, 5, etc. This suggests that the original sequence may be related to square numbers.
Let's check if the differences between consecutive terms are square numbers:
2 = 1²
5 = 2² + 1²
11 = 3² + 2²
22 = 4² + 3²
Based on this pattern, we can make a reasonable assumption that the next difference should be 5² + 4² = 41 + 16 = 57. Adding this difference to the last term of the sequence (41), we get the next term:
41 + 57 = 98
Therefore, the next term in the sequence is 98. None of the given options (60, 81, 90, 101) match the expected next term.
Hence, none of the given options accurately continue the pattern of the sequence. It's important to note that patterns in sequences can sometimes have multiple possible interpretations, and it's always essential to consider alternative patterns or extend the sequence further to confirm the pattern.
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Select all that apply
Answer: integer and rational
Step-by-step explanation:
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Laura is 3 ft tall how tall is Laura in inches
Solve 4.62 + (−12.3).
Answer:
= - 7.68 I hope this helped you.
Select the correct answer.
If no denominator equals zero, which expression is equivalent to 15/x-6 + 7/x+6?
A.
OB.
OC.
OD.
22 +132
²36
22-48
236
22
C.36
22 +48
²36
The expression in the options which is equivalent to the given expression is D. (22x + 48) / (x² - 36).
Given expression is,
[15 / (x - 6)] + [7 / (x + 6)]
Cross multiplying the two fractional expressions,
= [15 (x + 6) + 7 (x - 6)] / [(x - 6) (x + 6)]
= [15x + 90 + 7x - 42] / [x² - 6²]
= (22x + 48) / (x² - 36)
Hence the equivalent expression is D.
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Người ta thống kê được rằng mỗi chuyến bay có chừng 0,5% hành khách bị mất hành lí và giá trị trung bình mà khách đòi bồi thường cho mỗi hành lí bị mất là 1 triệu đồng. Một dịch vụ muốn tăng thêm giá vé để bù đắp cho số chi phí này.Vậy nên tăng thêm giá mỗi vé là bao nhiêu ?
Answer:
tăng lên 5.000 nghìn đồng
Step-by-step explanation:
mỗi chuyến bay có 0.5% hành khách mất hành lí
mỗi người đòi bồi thường 1.000.000 đồng
do đó vẽ mỗi người tăng lên :0.5%×1.000.000=5.000
Darnell is ordering food for a party. He can get 2 pizzas and 8 sandwiches for $65 or 5 pizzas and 3
sandwiches for $77.50. What would be the total cost of 1 pizza and 1 sandwich?
Select one:
O A $5.00
OB. $12.50
OC. $14.50
OD. $17.50
Answer:
Its OD
Step-by-step explanation:
I hope this helps :)
Why should I probably get my first credit card from the same institution that has my checking and/or savings account?Because building a relationship with a financial institution makes good OA sense You should not. You should get your first card at one of those really cool OB. student websites. A better idea is to pick your credit card company based on which gift I like Oc the best. OD Because local institutions offer better gifts
I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.
What is a credit card?The credit card is a type of card that could be used to pay for utilities. The credit card is a thin plastic card that is issued by a person's financial institution and is recognized for financial transaction.
However, the credit car should be used with caution so that a person do not accumulate a lot of debt on the credit card that could lead to the bankruptcy of the individual that is using the cards in question.
Now, I probably get my first credit card from the same institution that has my checking and/or savings account because that is the right thing to do.
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Find the lateral surface area of
the following cylinder:
r = 5 cm
5 cm
LSA= [ ? ]n cm?
Leave your answer in terms of T.
Enter the number that goes in the green box.
Answer:
50π cm²
Step-by-step explanation:
Lateral surface area of a cylinder is the area surrounding curved surface of the cylinder
Thus:
Lateral surface area of the cylinder = 2πrh
Where,
r = 5 cm
h = 5 cm
Plug in the values
Lateral Surface Area = 2*π*5*5
= 50π cm²
15. Construct Arguments Maggie said that
she could add 8 to both sides of any
equation and the expressions on both sides
of the equation would still be equal. Do you
agree? Explain.
Answer:
I do not agree because if there is an equation like 7+8 the answers would not be equal. They can only be equal if you add 8 to each side of the same number. For example, 7+7 with 8 added on both sides would be equal. But Maggie says that it can be equal for any equation. Therefore, Maggie is wrong.
Step-by-step explanation:
YOU SPIN THE SPINNER ONCE 7 5 6 WHAT IS THE P(FACTOR OF 20)
Answer:5
Step-by-step explanation:
I need some help with this
Help Quickly! Which survey would you expect to have fair results regarding attitudes about carnivals?
A. Do you like going to carnivals?
B. Do you like going to exciting carnivals?
C. Do you like traveling across town to go to carnivals?
D. Do you like going to noisy, overpriced carnivals?
Question A is the survey that you expect to have fair results regarding attitudes about carnivals
How to get the best survey questionThis survey question is the most neutral and fair among the options provided. It doesn't include any leading or biased language that may influence the respondent's answer.
Option B uses the adjective "exciting," which could lead people to think positively about carnivals.
Option C brings in the unrelated factor of "traveling across town," which could negatively influence the response based on travel preference rather than attitude towards carnivals. Option D uses negative descriptors "noisy" and "overpriced," which could lead people to think negatively about carnivals.
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Find the difference of 2/3 and 3/5.
Answer:
1/15
Step-by-step explanation:
2/3*5/5 - 3/5*3/3( we are multiplying and dividing by the same number in order to get the same denominator. as 5/5 = 1 and 3/3= 1)
2/3*5/5 - 3/5*3/3
= 10/15-9/15
= 1/15
PLEASE HELP ME WORTH ALOT OF POINTS
what is the solution to the equation:
5(n - 1/10) = 1/2
a. n= 13/5
b. n= 3/25
c. n= 0
d. n= 1/5
\( \sf \longrightarrow \: 5 \bigg( \: n - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{n}{1} - \frac{1}{10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10 \times n - 1 \times 1}{1 \times 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: 5 \bigg( \: \frac{10n - 1}{ 10} \bigg) = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: \frac{50n - 5}{ 10} = \frac{1}{2} \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =1(10) \\ \)
\( \sf \longrightarrow \: \: 2(50n - 5) =10 \\ \)
\( \sf \longrightarrow \: \: 100n - 10=10 \\ \)
\( \sf \longrightarrow \: \: 100n =10 + 10\\ \)
\( \sf \longrightarrow \: \: 100n =20\\ \)
\( \sf \longrightarrow \: \:n = \frac{2 \cancel{0}}{10 \cancel{0}} \\ \)
\( \sf \longrightarrow \: \:n = \frac{1}{5} \\ \)
Answer:-
Answer:- D) n = ⅕ ✅To solve the equation \(\sf 5(n - \frac{1}{10}) = \frac{1}{2} \\\) for \(\sf n \\\), we can follow these steps:
Step 1: Distribute the 5 on the left side:
\(\sf 5n - \frac{1}{2} = \frac{1}{2} \\\)
Step 2: Add \(\sf \frac{1}{2} \\\) to both sides of the equation:
\(\sf 5n = \frac{1}{2} + \frac{1}{2} \\\)
\(\sf 5n = 1 \\\)
Step 3: Divide both sides of the equation by 5 to isolate \(\sf n \\\):
\(\sf \frac{5n}{5} = \frac{1}{5} \\\)
\(\sf n = \frac{1}{5} \\\)
Therefore, the solution to the equation \(\sf 5(n - \frac{1}{10})\ = \frac{1}{2} \\\) is \(\sf n = \frac{1}{5} \\\), which corresponds to option (d).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
m ∠ � = ( � + 21 ) ∘ ∠A=(x+21) ∘ and m ∠ � = ( 4 � − 30 ) ∘ ∠B=(4x−30) ∘ , then find the measure of ∠ � ∠B.
The measure of angle B is given as follows:
m < B = 49.2º.
What are complementary angles?Two angles are said to be complementary angles when the sum of their measures is of 90º.
The measures are given as follows:
m < A = (x + 21)ºm < B = (4x - 30)º.As the angles are complementary, the value of x is obtained as follows:
x + 21 + 4x - 30 = 90
5x - 9 = 90
5x = 99
x = 19.8.
Hence the measure of angle B is obtained as follows:
m < B = 4 x 19.8 - 30
m < B = 49.2º.
Missing InformationThe measures are given as follows:
m < A = (x + 21)ºm < B = (4x - 30)º.The angles are complementary, and it asks for the measure of angle B.
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help pls pls pls pls pls pls pls pls
can someone help me with this please
here is the picture
Considering the transformations, the values of A, B and C are given as follows:
A = 9.B = -4.C = 2.What is a translation?A translation happens when either a figure or a function are moved horizontally or vertically.
The four translation rules for functions are given as follows:
Left a units: f(x + a).Right a units: f(x - a).Up a units: f(x) + a.Down a units: f(x) - a.For a vertical stretch by a factor of a, the function is multiplied by the factor a, that is, a x f(x). (9f(x) in the case of this problem).
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log 16^4=x The answer is 1/2 but I don't know how to solve. Please help me
Answer:
\(x = \frac{1}{2} \)
The step by step explanation is attached to the answer.
hope this helps
brainliest appreciated
good luck! have a nice day!
Put these numbers in order from least to greatest.
-1/4
2/40
-16
9/25
Answer:
(-1/4)(-16)(2/40)(9/25)Step-by-step explanation:
The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.
The temperature at the bottom of the mountain is 50.9 °C.
Let's work through the given information step by step to find the temperature at the bottom of the mountain.
The temperature in the hotel is 21 °C.
The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.
Let's denote the temperature at the top of the mountain as T_top.
So, the temperature in the hotel can be expressed as T_top + 26.7 °C.
The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.
Let's denote the temperature at the bottom of the mountain as T_bottom.
So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.
Now, let's combine the information we have:
T_top + 26.7 °C = T_bottom - 3.2 °C
To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:
T_bottom = T_top + 26.7 °C + 3.2 °C
T_bottom = T_top + 29.9 °C
Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:
T_bottom = 21 °C + 29.9 °C
T_bottom = 50.9 °C
Therefore, the temperature at the bottom of the mountain is 50.9 °C.
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