Answer:
32
Step-by-step explanation:
(3x-4)+(3x-8)=180
6x-12=180
6x=192
X=32
Applying the concept of supplementary angles the value of x we get is 32.
Use the concept of supplementary angles defined as:
The pair of angles known as supplementary angles always add up to 180 degrees. The definition of the term "supplementary" is "something supplied to complete a thing." These two perspectives are therefore referred to be complements of one another.
The given angles are:
Exterior angle = 3x - 4
Interior angle = 3x-8
From the figure, we can see that,
These angles are supplementary angles.
And since we know two angles are supplementary angles then,
Their sum = 180 degrees.
Therefore,
3x - 4 + 3x-8 = 180
6x - 12 = 180
Add 12 both sides are,
6x = 192
Divide by 6 on both sides,
x = 32
Hence,
The value of x is 32.
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What is the arc measure of PQ?
Answer:
47.1
Step-by-step explanation:
l= rø
or, l= 18 × 5π/6
or, l= 15π
l = 47.1
how many hundred billions in the number 432,845,979,484
There are 4 hundred billions in the number 432,845,979,484.
To determine how many hundred billions are in the number 432,845,979,484, we need to consider the place value of the hundred billions digit.
The number 432,845,979,484 has 12 digits, and we count the digits from right to left, starting with the units place. The digit in the hundred billions place is the seventh digit from the right.
Let's break down the number:
4 hundred billions (4 x 100,000,000,000)
3 ten billions (3 x 10,000,000,000)
2 billions (2 x 1,000,000,000)
8 hundred millions (8 x 100,000,000)
4 ten millions (4 x 10,000,000)
5 millions (5 x 1,000,000)
9 hundred thousands (9 x 100,000)
7 ten thousands (7 x 10,000)
9 thousands (9 x 1,000)
4 hundreds (4 x 100)
8 tens (8 x 10)
4 units (4 x 1)
As we can see, there are 4 hundred billions in the number 432,845,979,484.
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Help quick?!!?!?!?!!?!?!,
When creating equations for our word problems, we must remember to...
A. write all equations in slope-intercept form.
B. make sure all equations are in the same form.
C. define all variables.
9514 1404 393
Answer:
C. define all variables
Step-by-step explanation:
Equations for word problems will depend on the problem. Not all of the equations will be linear equations. Even if they are, they are not necessarily easily written in any particular form, or easily solved when they are written in that form. The nature of the equations will depend on the problem.
One thing that must be done in any case is define all variables. It is usually a good idea to define the units of the variable(s) as well. Sometimes problems are posed with numbers in incompatible dimensions, or they may ask for an answer in dimensions different from those used in the given information. In order to avoid confusion and to be sure you have the desired answer, you need to make sure the variables and their dimensions are compatible with the solution process.
Pls help
Due at 5
Plsssss (NO LINKS)
Answer: if it is -7+10 then it is 3
The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she doesn't want to give away free hamburgers to more than 1% of her customers. What number of minutes should the advertisement use
Answer:
The advertisement should use 16 minutes.
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
The manager of a fast-food restaurant determines that the average time that her customers wait for service is 3.5 minutes.
This means that [tex]m = 3.5, \mu = \frac{1}{3.5} = 0.2857[/tex]
What number of minutes should the advertisement use?
The values of x for which:
[tex]P(X > x) = 0.01[/tex]
So
[tex]e^{-\mu x} = 0.01[/tex]
[tex]e^{-0.2857x} = 0.01[/tex]
[tex]\ln{e^{-0.2857x}} = \ln{0.01}[/tex]
[tex]-0.2857x = \ln{0.01}[/tex]
[tex]x = -\frac{\ln{0.01}}{0.2857}[/tex]
[tex]x = 16.12[/tex]
Rounding to the nearest number, the advertisement should use 16 minutes.
Factor out the common factor in -45 + 81n + 90n^2
A: I think it’s 9(−5+9n+10n2)
Step-by-step explanation:
PLS ANSWER QUICK, HELP
Answer:
1/2. gallon.............
Select the correct answer. 1 -23 1-4 What is the result of the operation 2 O A. 6 -10 -2 -16 4 6 -2 R 5 8 6 _4 Ос. 16 -4 6 4 2 6 -10 2 -16 4 -4 -28
9514 1404 393
Answer:
D
Step-by-step explanation:
Choices A and D agree in all but one term: row 2 column 3 is (-2)(3) = -6. The term with the correct sign is only found in choice D.
In Joe's fish tank, there are 7 goldfish and 12 snails. How does the ratio 12:19 describe Joe's fish tank?
Answer:
honestly this was the only thing i was ever good at in math.
its kinda fun cuz its like puzzle solving.
Answer:
The ratio represents they are 12 snails for every 19 sea creatures in Joe's tank.
Step-by-step explanation:
In total, there are 19 sea creatures in the tank. And since there are 12 snails in the tank, the ratio represents that there are 12 snails for every 19 sea creatures in Joe's tank.
Please like and mark brainliest!
Hope it helps!
9, 14, 12,17,15, 20,18
what is the rule for the following pattern?
The population of a city decreases by 4% per year. If this year's population is 171,000, what will next year's population be, to the nearest individual?
Please need help thank you
Answer:
12 miles
Step-by-step explanation:
Area=length*width
To find the length using the area, do area/width.
96/8=12
In the diagram below, what is the approximate length of the mirror arc AB?
Answer:
D) 15.7 cm
Step-by-step explanation:
radius = 10 cm
diameter = 10 x 2 = 20 cm
circumference = 20 x 3.14 = 62.8 cm
(90°/360°)(62.8) = 15.7 cm
Help please question in the picture
Answer:
81 m²
Step-by-step explanation:
The area of the figure = area of the rectangle + area of the triangle
= Length*Width + ½*base*height
Length = 10 m
Width = 6 m
base = 6 m
height = 7 m
Thus:
Area = 10*6 + ½*6*7
Area = 60 + 21 = 81 m²
Choose all lengths that are equal to
6 feet 12 inches.
Answer:
Can you show a picture? Or like tell us the options?
Students in an environmental science class raised money to buy plants for a community garden. The students raised money by selling regular cupcakes for $2.00 each and gluten-free cupcakes for $3.00 each. The number of regular cupcakes sold was determined to be 2 times the number of gluten-free cupcakes sold. If a total $350 was raised through cupcake sales over a three-week period, how many cupcakes were sold altogether
Answer:
50 gluten-free cupcakes and 100 regular cupcakes.
Step-by-step explanation:
Let's define the variables:
R = number of regular cupcakes sold
G = number of gluten-free cupcakes sold
The total amount of money raised then is:
M = R*$2.00 + G*$3.00
We also know that:
The number of regular cupcakes sold was 2 times the number of gluten-free cupcakes sold.
then:
R = 2*G
And we also know that the amount of money raised is $350
Then we have the equations:
R = 2*G
R*$2.00 + G*$3.00 = $350
We can replace the first equation into the second one, so we have only one variable:
(2*G)*$2.00 + G*$3.00 = $350
Now we can solve this for G.
G*$4.00 + G*$3.00 = $350
G*$7.00 = $350
G = $350/$7.00 = 50
G = 50
50 gluten-free cupcakes where sold.
And using the equation:
R = 2*G = 2*50 = 100
We can conclude that 100 regular cupcakes were sold.
Solve for y
X+y=6
X=4
Simplify your answer as much as possible
Will give Brainliest
Do the following conditions make a unique triangle, more than one triangle or no triangle possible
Answer:
No triangle possible
Step-by-step explanation:
The one side is to short to make a triangle
A farmer is worried that a recent salmonella outbreak may have come from the carrots on his farm. He wants to test the carrots at the farm, but it will ruin the crop if he tests all of them.
a. If the farm has 10,000 carrots growing, describe a method that would
produce a random sample of 10 plants.
b. Why would a random sample be useful in this situation?
Answer: for b. Step-by-step explanation: The random sample would show multiple outcomes of the carrot growth and the combinations, i believe
5a. Solve the equation. 4x = 32
Answer:
x=8
Step-by-step explanation:
have a good day
Answer:
x=8
Step-by-step explanation:
divide both sides of the by equation by 4
4x÷4=32÷4
x=32÷4
x=8
Find the sum of 3/4 and 5/10 pls
Answer:
Is it 1.25
I hope the helps!
Answer:
5/4 or decimal- 1.25
Step-by-step explanation:
3/4+5/10
=3/4+5/10
=3/4+1/2
=3/4+2/4
=3+2/4
=5/4
Question 6 of 10 What is the slope of the line that contains the points (-2, 2) and (3, 4)? O A. 01N B. 5 C. 5 2 D. 2 SUBMIT
Answer:
I don't know what those answer choices are but the answer should be: [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
4-2 = 2
3 - (-2) = 5
Put the y values over the x
[tex]\frac{2}{5}[/tex]
The function f(x) models the value of imported goods into the United States, and the function g(x) models the value of exported
goods from the United States, where x is the number of years since 1990.
Which statements are correct?
A) g(x) appears to be a linear function
B) f(x) appears to be an exponential function
C)Exports increase more quickly around the year 2041
D) Exports eventually exceed imports from the united States
E) A quantity increasing exponentially eventually exceeds a quantity
increasing linearly
Answer:
C, D, E
Step-by-step explanation:
I did the USATESTPREP
CONVERT THE PERCENTAGES FRACTION 120%
Answer:
[tex]\frac{6}{5}[/tex]
Step-by-step explanation:
Answer:
6/5
Step-by-step explanation:
Its 6/5..
1 = 20%
Please give brainliest
In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Fatoumata sets up a website where players
can buy and sell these costumes online. Information about the number of people who
visited the website and the number of costumes purchased in a single day is listed
below.
126 visitors purchased no costume.
228 visitors purchased exactly one costume.
34 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
exactly one costume as a decimal to the nearest hundredth.
Mk
Answer: 0.59
Step-by-step explanation:
The probability that the next person will purchase exactly one costume is 0.59.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of visitors = 126+228+34 = 388
Total number of visitors who purchased exactly one costume = 228
The probability = 228/388 = 0.587 ≈ 0.59
Thus, the probability that the next person will purchase exactly one costume is 0.59.
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Simplify. 6 to the power of 2+3 to the power of 2.
Thanks!
Answer:
45
Step-by-step explanation:
6 to the power of 2 + 3 to the power of 2
6² + 3²
(6 × 6) + (3 × 3)
36 + 9
45
please help mark brainliest ( no attachments please)
Answer:
I think 3 hours
Answer:
2/6 in 2 hours
Step-by-step explanation:
Can anyone help me please:)
Evaluate the expressions below.
14x + 2 and 2(7x + 1)
x = 10
Answer:
142
Step-by-step explanation:
14x+2
(14)(10)+2
=142
2(7x+1)
2((7)(10)+1)
=142
hope this helped! :]
Original scale: 1 inch = 8 feet. A parallelogram with a side length of 24 feet. A larger parallelogram with a side length of 72 feet.
Noah planned a parallelogram-shaped sidewalk to lead from the street to the front door of his house. He realized the walkway was too short and he needs to change the length to 72 feet. He wrote a ratio to find the change in the scale factor.
24 ft
72 ft
=
The change in the scale factor is
✔ 1/3
.
The change of scale means that 1 inch represented
✔ 8
feet, but now 1 inch represents
✔ 24
feet.
Answer:
The change in the scale factor is
✔ 1/3
The change of scale means that 1 inch represented
✔ 8
feet, but now 1 inch represents
✔ 24
feet.
Step-by-step explanation:
If you have a rectangle or square, each of the angles measures 90°. If you have a parallelogram or rhombus, the opposite angles are the same and the consecutive angles are supplementary. For other types of quadrilaterals you may need to add the given angles and then subtract from 360°.
[Also Pic with proof]
The change in the scale factor is
1/3.
The change of scale means that 1 inch represented 8 feet, but now 1 inch represents 24 feet.
If you have a rectangle or rectangular, each of the angles measures 90°. if you have a parallelogram or rhombus, the opposite angles are the same and the consecutive angles are supplementary. For different types of quadrilaterals, you can want to feature the given angles and then subtract from 360°.
What is the scale factor?The scale factor is a degree for similar figures, who appear the same but have distinctive scales or measures. Assume, the circle looks similar however they might have various radii. The scale factor states the scale by the way which a determined is larger or smaller than the original figure.
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