The value of the angles in the triangle is as follows:
x = 3∠B = 70°∠C = 50°How to angle in a triangle?The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
Therefore,
120 = ∠B + ∠C
∠B = 22x + 4
∠C = 15x + 5
120 = 22x + 4 + 15x + 5
120 = 22x + 15x + 4 + 5
120 - 9 = 37x
111 = 37x
divide both sides by 37
111 / 37 = x
x = 3
∠B = 22(3) + 4 = 66 + 4 = 70°
∠C = 15(3) + 5 = 45 + 5 = 50°
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Answer:
x = 3
b = 70
c = 50
Step-by-step explanation:
Find X:
= 3
(22x + 4) + (15x + 5) = 120
22x + 15x = 37
4 + 5 = 9
+9 -9= 0
120 - 9 = 111
111 / 37x = x = 3
Find the measure of angle B:
70
22x + 4
22(3) + 4
22 multiplied by 3 = 66
66 + 4 = 70
Find the measure of angle C:
50
15x + 5
15 (3) + 5
15 times 3 = 45
45 + 5 = 50
Whole worksheet is in the PDF :)
Compute the derivatives of the Michaelis Menten kinetics
V=Kx/kn + x
where K and kn are constants.
We get the derivative of the function V = K x / k n + x as d v / d x = k / k n + 1.
We are given a function:
V = K x / k n + x
where K and k n are constants.
We need to find its derivative with respect to x
Derivative refers the rate of change of a function with respect to a variable.
Now differentiating with respect to x , we get that:
d V / d x = k / k n ( 1 ) + ( 1 )
d v / d x = k / k n + 1
Therefore, we get the derivative of the function V = K x / k n + x as d v / d x = k / k n + 1.
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Please help!
Multiply.
[−135⋅(−6)]⋅(−334)⋅10
What is the product?
Multiply
(−135⋅−6)⋅(−334)⋅10.
=
−2705400
Answer: im gonna add the answers for the whole test
Filomena applies the commutative property to the product
answer:(7/15)⋅(30)⋅(−11)
Which equation applies the associative property of multiplication?
Answer: (−9/4⋅3/2)⋅(6/3⋅5/7)=−9/4⋅(3/2⋅6/3)⋅5/7
Multiply by applying the commutative and/or associative property
(3/10)(−3.2)(−100)
What is the product?
Answer:96
Multiply.
[−3⋅9/15]⋅[(−0.1)⋅(−28)]
What is the product?
Answer: -5.4
Multiply.
[−135⋅(−6)]⋅(−334)⋅10
What is the product?
Answer: -360
Step-by-step explanation:
just finished the test and failed so I have the answers
Dr. Grumman got his first job in 1990. In that year, the government took out 7.45% of each income for Social Security and Medicare, until a person made $51,300. If Dr. Grumman earned$31,340 in 1990, how much did he pay to Social Security and Medicare?
The amount paid for Social Security and Medicare will be $2335.
How to calculate the value?The government took out 7.45% of each income for Social Security and Medicare and Dr. Grumman earned $31,340 in 1990.
Therefore, the amount paid for Social Security and Medicare will be:
= Medicare percentage × Total income
= 7.45% × $31340
= 0.0745 × $31340
= $2335
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Ruben is driving along a highway that passes through Barstow. His distance d, in miles, from Barstow is given by the equation
d = |210 − 60t|,
where t is the time, in hours, since the start of his trip and
0 ≤ t ≤ 5.
When will Ruben be exactly 90 miles from Barstow?
Answer:
after 2 hours, andafter 5 hoursStep-by-step explanation:
Given that Ruben's distance from Barstow is d = |210 -60t|, you want to know the time t when he is exactly 90 miles from Barstow.
SetupThe absolute value will be 90 when the argument of the function is either -90 or +90.
The question resolves to two equations:
210 -60t = -90210 -60t = 90SolutionThese two-step linear equations can be solved in the usual way:
-60t = -300 . . . . subtract 210-60t = -120Then ...
t = -300/-60 = 5 . . . . divide by the coefficient of tt = -120/-60 = 2Ruben is 90 miles from Barstow after driving 2 hours, and again after driving 5 hours.
A map is drawn to a scale of 28 miles per inch.
inches: 0.5 miles: 14
inches: 1 mile 28
inches: 1.5 miles 42
The British imperial and American customary systems of measurement both use the inch as their standard unit of length (symbolized as in or ′′). It is equivalent to 1/36 of a yard or 1/ 12 of a foot. The term inch, which is often used to translate comparable units in other measurement systems and is derived from the Roman uncia ("twelfth"), is generally considered to refer to the breadth of the human thumb.
Since the international yard was adopted in the 1950s and 1960s, standards for the precise length of an inch have varied, but the inch is now based on the metric system and is defined as precisely 25.4 mm.
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The school band is having a car wash to raise money. Their goal is to collect $150. So far they have earned $10 each from three families and $5 each from fifteen families. How much more money do they have to earn to reach their goal?
(13 + 7 ^ 2 / 7)/(9 - 20/4 - 16)
Answer:
-5/3
Step-by-step explanation:
= (13+7*7/7)/(9-20/4-16)
= (13+7)/(9-5-16)
= 20/(-12)
= -5/3
What is chicken nugget please
Answer: chicken
Step-by-step explanation: a chicken nugget is a very roasted chicken in certain part of the body to make a chicken nugget and then ya got yourself a chicken nugget.
To rent a certain meeting room, a college charges a reservation fee of $47 and an additional fee of $5.70 per hour. The history club wants to spend at most
$75.50 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answer:
to be honest i don't know :^
Please help!! its appreciateddd hurry plssss
Using translation concepts, the graph of g(x) is given at the end of the answer.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
Function f(x) is a concave up parabola with vertex at (1, -5). For the translation g(x) = f(x + 2), we have that the function is shifted two units left, as:
g(x) = f(x + 2) = (x + 2 - 1)² - 5 = (x + 1)² - 5.
Which is a concave up parabola with vertex at (-1, -5), and the graph is given at the end of the question.
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Answer: 15
Step-by-step explanation:
its 15 because 1+1 is 2 which is equal to 2 and u h... plus 10 is 12. 12+3 is 15. the answer is 15 because I like that number and iI'm typing random stuff right now, wondering if you'll log in to brai.nly again one day and just see this du mb message. anyway hi kin !
feb 23, 2023 :)
Which of the following are exterior angles? Check all that apply.
2
46
0₂1
5
A. 25
B. 26
F. 22
C. 23
☐ D. 24
OE. 21
Answer:
2, 5, 6, and 3 or A B C and F
Step-by-step explanation:
The exterior angles are ∠2, ∠3, ∠5 and ∠6.
What are exterior angles?Angles that are found outside or external to any geometric shape are called exterior angles.
They are also sometimes known as external angles or turning angle.
An exterior angle is made by extending one of the lines of the shape beyond the point of intersection.
Given is a figure, we need to find which of angles in the figure are exterior angles,
So, according to the definition of exterior angles,
The exterior angles are :-
∠2, ∠3, ∠5 and ∠6, because they are outside the figure as well as they are formed by the point of intersections.
Hence, the exterior angles are ∠2, ∠3, ∠5 and ∠6.
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Which of the following is considered to have two dimensions?
Answer: objects that are flat plane figures that have two dimensions; length and width.
example: squares, circles, rectangles, and triangles are examples of two-dimensional objects.
Step-by-step explanation:
whats a equivalent expression for the square root of 13 x the square root of 13
Answer:
[tex]2(13^{2})[/tex]
Step-by-step explanation:
[tex]13^2 + 13^2 = 13^2[/tex] x [tex]2 = 2(13^2)[/tex]
We can check the work.
[tex]13^2 +13^2= 169 + 169 = 338\\\\\\2(13^2)= 2(169)= 338[/tex]
Penelope has two kittens. Dot weighs 3.83 pounds, and Dash
weighs 3.805 pounds. Which kitten weighs more?
Fill in the place-value chart with the weights of the two kittens.
Then explain how you can use the chart to solve the problem.
The table shows how long it takes for Building
Brothers to build and renovate homes. If the
company has been renovating homes for
16 years, how many homes has it renovated? Renovate a house: 8 months
Since Building Brothers have been renovating homes for 16 years, the number of homes renovated is 24.
How is the number of homes determined?We can use mathematical operations of addition, subtraction, division, and/or multiplication to determine the missing value.
The first effort is converting 16 years into months. The product is divided by 8 months to arrive at the quotient of 24 homes that were renovated within 16 years.
Data and Calculations:Time period = 16 years
Time spent to renovate a house = 8 months
12 months = 1 year
Total number of months spent = 192 months (16 x 12)
The number of renovations = 24 (192/8)
Thus, Building Brothers have renovated 24 homes within 16 years.
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Hailey signed up for a streaming music service that costs $12 per month. The service allows Hailey to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $1 per song. How much total money would Hailey have to pay in a month in which she downloaded 15 songs? How much would she have to pay if she downloaded ss songs?
12 x (-2/3) =
A. 1/8
B. -8
C. 8
D. -1/8
Answer:
B.-8
= 12 * (-2/3)
= -24/3
= -8
5. A car. travels 220 miles in 4 hours. What is
the constant of proportionality that relates y,
the total number of miles, to x, the number of
hours?
k =
the car is traveling at 55 mph
find the perimeter or circumference and area of each figure if each unit on the graph measure 1 centimeter. round answers to the nearest tenets, if necessary
The circumference of the circle = 17.8 units
The area of the circle = 25.1 square unit
Given,
the points are A(2,3) and B(4,1)
Formula to get the circumference of a circle = 2πr
Where r = radius of the circle
Radius of the given circle = Distance between the points A(2, 3) and
B(4, 1)
r = √(2 - 4)² + (3 -1)²
r = √(-2)² + (2)²
r = √4+4
r = √8
r = √2(4)
r = 2√2
Therefore the circumference is = 2π(2√2)
= 17.77
≈ 17.8 units
Area of the circle = πr²
= π(2√2)²
= 8π
= 25.13
≈ 25.1 square unit
Hence we get the circumference and area of the circle as 17.8 units and 25.1 square unit respectively.
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CAN SOMEONE PLEASE ANSWER WITH THE STEPS??
-5 2/3 · 3 3/4
simplified answer pls
Answer:
[tex]-21\frac{1}{4}[/tex]
Step-by-step explanation:
First you need to get them into improper fractions. To do that multiply the whole number by the bottom number, and then add the top number:
[tex]-5\frac{2}{3} = -\frac{17}{3} \\3\frac{3}{4} = \frac{15}{4}[/tex]
Next, multiply the numerators (top numbers) by the denominators (bottom numbers)
[tex]-\frac{255}{12}[/tex]
Next just fix it and make it a mixed number. Just divide -255 by 12
The answer is -21.25
Just make that into a fraction and you are finished
Finn completed 27 situps. Ellen completed 9 situps. Finn completed n more situps than Ellen. How would you determine this?
Answer: finn did 18 more situps than ellen
Step-by-step explanation:
Solve the equation for x.
27
(14 − 28x) = 20
Answer:
27 times (14 and 28)
378-756=20
-378=20
Put it (-378) on the other side
Your answer: 398
Thank you,daintyswordRachel bought 7 pounds of
grapes at $1.34 per pound, and
6 pounds of kiwi at $2.87 per
pound. How much did Rachelork
spend on the fruit?
It takes you 53 seconds to walk from the first (ground) floor of a building to the third floor. How long will it take you to walk from the first floor to the sixth floor (at the same pace, assuming all floors have the same height)?
The time it takes to walk from the first floor to the sixth floor is 132.5 seconds.
What is a division?The division is a process of splitting a specific amount into equal parts.
We have,
To walk from the first floor to the third floor it takes 53 seconds.
From the first floor to the third floor there are two floors.
So we can say that the number of seconds it takes to walk to one floor is 53/2 assuming that each floor has the same height.
We have,
= 53 / 2
= 26.5 seconds
There are 5 floors from the first floor to the sixth floor.
So the time it takes to walk from the first floor to the sixth floor is:
= 26.5 x 5
= 132.5 seconds
We can also say that,
132.5 seconds = 2.20 minutes = 2 minutes 12 seconds
Thus the time it takes to walk from the first floor to the sixth floor is132.5 seconds.
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Use
x
for your variable
The sum of a number increased by nine and the number decreased by two.
The answer is [tex](x+9)+(x-2)[/tex] .
A variable is a symbol used to represent a number in an expression or equation. The value of this number is subject to change. An algebraic expression in mathematics is an expression that consists of variables and constants and algebraic operations (addition, subtraction, etc.). Expressions are made up of concepts.We have given two statements one is " number increased by nine "
Let the number be x .
Mathematically , first statement is represented by
x + 9
Second statement is " number decreased by two "
Mathematically , second statement is represented by
x - 2
According to the question
Sum of first and second statement = [tex](x+9)+(x-2)[/tex]
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1. Rosa was hiking near the Dead Sea. She began her hike at an elevation of -600 feet and ended the hike at 92 feet. What was the change in her elevation
Change in Rosa's elevation from starting to end of her hike is 692 feet.
What is elevation in a hike?
Elevation is the height of hiker above the sea level at any point of the hike.
At the starting of the hike , Rosa was at an elevation of = -600feet
At the ending of the hike, Rosa is at an elevation of = 92 feet
Change in elevation = final elevation - initial elevation
= 92-(-600) = 692 feet
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a company charges $80 per day plus $0.30 per mile for truck rentals. If Greg rents a truck for 3 days and drives 200 miles, how much will the company charge?
a rectangle has a length of 5^3 units and a width of 5^2 units what is the area of the rectangle.
Answer:
Area = 3,125 units squared
Step-by-step explanation:
5^3= 5 x 5 x5 = 125
5^2= 5 x 5 = 25
Area = L x W = 125 x 25 = 3,125 ^2
Marcus keeps a record of the money he has in his checking account. In January he wrote checks totaling $45. In February he made a deposit of $100. In March he did not deposit any money nor did he write any checks. Use integers to describe each month's activity in the account.
Marcus' account's activity is shown using integers in the table given below.
What are integers?An integer is the number zero (0), a positive natural number (1, 2, 3, etc.), or a negative integer with a minus sign (1, 2, 3, etc.). The negative numbers are the additive inverses of the corresponding positive numbers. The set of integers is frequently denoted by a Z in mathematical notation.Then,
In January Marcus wrote checks totaling $45.In February he made a deposit of $100.In March he did not deposit any money nor did he write any checks.So, the activity of Marcus account's using integers is shown in the table below.
Therefore, Marcus' account's activity is shown using integers in the table given below.
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Plot the intercepts to graph the equation.
9x−4y=−36
Graph it
For the line 9x−4y=−36 we have:
x-intercept (-4, 0)
y-intercept (0, 9)
The graph of the line can be seen below.
How to graph the linear equation?Here we have the linear equation:
9x - 4y = -36
First, the x-intercept is what we get when y = 0, then:
9x - 4*0 = -36
9x = - 36
x = -36/9 = -4
Then we have the point (-4, 0)
And the y-intercept is what we get when evaluate the variable x = 0, so:
9*0 - 4*y = -36
y = -36/-4 = 9
Then we have the point (0, 9)
Now just graph these two points, and connect them with a line, you will get the graph below.
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