if the two angles are Alternate Interior Angles. then:
\(\begin{gathered} m\angle F=m\angle H \\ \text{Where:} \\ m\angle F=6x+7 \\ m\angle H=9x-14 \\ 6x+7=9x-14 \\ \text{Solving for x:} \\ 7+14=9x-6x \\ 21=3x \\ \frac{21}{3}=x \\ 7=x \\ x=7 \end{gathered}\)So:
\(m\angle F=6x+7=6(7)+7=42+7=49\)what is 2 7/8 as a mixed number
i need the answer asap for a test!
Answer:
23/8
Step-by-step explanation:
15)
136⁰
2
S
?
R
Find the measure of the arc or angle indicated
Answer:
224
Step-by-step explanation:
360.-136.
Expand and simplify x(3x + 5)-5(2x - 1)
PLEASE HELP ME AND ANSWER THIS QUESTION !! I need this for my assessment revision
The simplified expression of x(3x + 5)-5(2x - 1) is 3x² - 5x + 5
How to expand and simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
x(3x + 5)-5(2x - 1)
Open the brackets
So, we have
3x² + 5x - 10x + 5
Evaluate the like terms
So, we have
3x² - 5x + 5
Hence, the simplified expression is 3x² - 5x + 5
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A one-way trolley ticket to Old Town costs 3.50. How much will it cost for Ahyeon and three friends to ride to Old Town and home again?
Answer:
$28
Step-by-step explanation:
Each round trip will be double the price of a one-way trip, so will be ...
2 × $3.50 = $7.00
Diego and his 3 friends will require a total of 4 round-trip tickets for a cost of ...
4 × $7.00 = $28.00
Thirteen less than twice a number is seventeen more than half the number. What is the number?
Answer:
20
Step-by-step explanation:
2x-13 = x/2 +17
add -x/2
2x-x/2-13=x/2-x/2+17
2x-x/2 -13=17
add 13
2x-x/2 -13+13 =17+13
3x/2 = 30
multiply by 2
3x=2*30
divide by 3
x= 60/3
x=20
Answer:
Number is 4
Step-by-step explanation:
Let the number be x
2x - 13 = x/2 + 17
2x - 13 = x + 34/2
2(2x - 13) = x + 34
4x - 26 = x + 34
4x - x = 34 - 26
3x = 12
x = 12/3
x = 4
Need help asap) Judy took $30 with her to spend on popcorn and drinks for herself and her friends at the movie theater. The price for each bag of popcorn was $5. The price of each drink was half the price of a bag of popcorn. ( Questions) A: Sketch the graph that represents the situation and label the intercepts. Use one axis to represent the number of bags of popcorn and the axis to represent the number of drinks. B: Explain your graph. ( Need Help and Will Mark Brainliest).
Answer:
\(the \: porpcon \: intercept, \: p = (0, \: 5) \\ the \: drink \: intercept, \: p = (2.5, \: 0)\)
Step-by-step explanation:
\(let \: the \: price \: of \: each \: popcorn \: be : p \\ let \: the \: price \: of \: each \:drink \: be : d \\ \\ p = 5 \\ d = \frac{5}{2} = 2.5 \\ \\ explanation : \\ the \:p - intercept \: is \: the \: point \: were \: the \: line \: crosses \: the \: p - axis. \\ the \:d - intercept \: is \: the \: point \: were \: the \: line \: crosses \: the \: d - axis. \\ \\ \\ i \: believe \: with \: these \: information \:you \: can \: plot \: clear \: graph \: \)
Enter an algebraic equation for the word sentence. Use x as your variable.
A number increased by 7.9 is 8.5.
The equation is
x+7.9=8.5
solving x would be .6
if my answer helps please mark as brainliest.
2. What is the quotient if you divide 15 1/3 by 18/23
Which location is in the region for plants receiving the
maximum amount of water?
O (-3,-1)
O (-7,1)
O (1,-5)
O (2, 1)
The location which is in the region for plants receiving the maximum amount of water is "(-3,-1)". The Option A is correct.
What determines maximum amount of water reaching a plant?Water flows into the open pore spaces in the soil by gravity, and the size and spacing of the soil particles determine how much water can flow in. Because coarse soils have larger pore spacing at the soil surface, they have a higher infiltration rate than fine soils.
Based on the graph, we observed that the point of location in which is in the region for plants receiving the maximum amount of water is the point (-3,-1). Therefore, we agree that Option A is correct.
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HURRY!!!!!!!!!!!!!!!
The table shows the proportional relationship between the number of tickets required per game at a carnival. Games 4 7 10 Tickets 20 35 50 Determine the constant of proportionality.
Correct answer will get brainiest
Answer:
Therefore, the constant of proportionality for the given proportional relationship is 5.
Step-by-step explanation:
To determine the constant of proportionality in the given proportional relationship, we can use the formula:
Constant of Proportionality = Tickets / Games
Let's plug in the values from the table:
For the first set of values (4 games and 20 tickets):
Constant of Proportionality = 20 / 4 = 5
For the second set of values (7 games and 35 tickets):
Constant of Proportionality = 35 / 7 = 5
For the third set of values (10 games and 50 tickets):
Constant of Proportionality = 50 / 10 = 5
In all three cases, the constant of proportionality is equal to 5.
Therefore, the constant of proportionality for the given proportional relationship is 5.
What percent of the students surveyed are seniors who take the bus
Answer:
More infomation.
Step-by-step explanation:
2 1/2 + (345-206) - 3 1/3
Answer:
139 should be the answer
Step-by-step explanation:
HELP PLEASE HELP ME PLEASE
Answer:
I THINK THR ANSWER IS A !
Answer:
1. U should know what the median is the median is the middle.
2. The interquartile range is when u subtract the 1 and 3 meidan.
3. The rang is when u subtract the biggest number from the smalest number.
Step-by-step explanation:
I hope this helped u . If not than please ask me.
When you plug in 8 for m, what problem will you have to solve?
3+m
3+m=8
3+8
Find the Perimeter of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place. 14 3
Answer:
i think that it is 83.94 ft of i am correct
Ms. Mickelson is purchasing some baseball shirts for her son’s baseball team. She will pay $10.50 for each shirt plus a one time fee of $20 for the team logo design. Which table best represents y, the total cost of x number of shirts?
Answer:
D.
Step-by-step explanation: {y1=mx1+b}
x1 l y1
------------------
8 l 104 <------------Answer
12 l 146
l
l
m = 10.5
b = 20
Write 1270 in expanded form using exponents
Step-by-step explanation:
Answer:
\(1.270\) × \(10^{3}\)
I hope this helps!
A pitcher of mocktail contains 8 cups of pineapple juice and 2 cups of orange juice. How many cups of orange juice will be required to make a mocktail with 12 cups of pineapple juice?
Step-by-step explanation:
pineapple juice =8cups
orange juice =2cupspineapple juice =122x12=24
8×12=96
:. 96+24=120
moctail=120
.
A patient has been instructed to drink a gallon of water each day. How many cups does the patient
need to drink?
Thank
Answer:
16 cups a day
Step-by-step explanation:
ABC Computer Company has a AED20, 000,000 factory in Sharjah. During the current year, ABC builds AED2,000,000 worth of computer components. ABC’s costs are labour AED 1,000,000; interest on debt, AED100,000; and taxes, AED200,000. ABC sells all its output to Jumbo LLC Supercomputer. Using ABC’s components, Jumbo builds four supercomputers at a cost of AED800,000 each (AED500,000 worth of components, AED200,000 in labour costs, and AED100,000 in taxes per computer). Jumbo LLC has a AED30,000,000 factory. JUMBO LLC. sells three of the supercomputers for AED1,000,000 each; at year’s end, it has not sold the fourth. The unsold computer is carried on JUMBO LLC’s books as an AED800,000 increase in inventory. a) Calculate the contributions to GDP of these transactions, showing that all three approaches give the same answer. and its explanation
All three approaches yield the same result: AED4,600,000 (Expenditure Approach), AED1,600,000 (Income Approach), and AED1,800,000 (Production Approach). This consistency demonstrates that the three approaches provide equivalent measures of GDP.
To calculate the contributions to GDP of the given transactions, we can use the three approaches: the expenditure approach, income approach, and production approach. Let's calculate the GDP using each approach and demonstrate that they give the same answer.
Expenditure Approach:
GDP is calculated as the sum of all final expenditures. In this case, the final expenditures are the sales of the supercomputers.
GDP = Sales of supercomputers
= (3 * AED1,000,000) + (1 * AED800,000)
= AED3,800,000 + AED800,000
= AED4,600,000
Income Approach:
GDP can also be calculated by summing up all the incomes earned during production. In this case, the incomes include wages, interest, and taxes.
GDP = Wages + Interest + Taxes
= (Labour costs for ABC + Labour costs for Jumbo) + (Interest on debt for ABC) + (Taxes for ABC + Taxes for Jumbo)
= (AED1,000,000 + AED200,000) + AED100,000 + (AED200,000 + AED100,000)
= AED1,200,000 + AED100,000 + AED300,000
= AED1,600,000
Production Approach:
GDP can also be calculated by summing the value added at each stage of production. In this case, the value added is the sales price minus the cost of components purchased.
GDP = Sales price of supercomputers - Cost of components
= (3 * AED1,000,000) + (1 * AED800,000) - (4 * AED500,000)
= AED3,000,000 + AED800,000 - AED2,000,000
= AED1,800,000
As we can see, all three approaches yield the same result: AED4,600,000 (Expenditure Approach), AED1,600,000 (Income Approach), and AED1,800,000 (Production Approach). This consistency demonstrates that the three approaches provide equivalent measures of GDP.
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write an equation of the line in slope-intercept form where slope equals 1/4 and y-intercept equals 0, - 5
Answer:
\(y=\frac{1}{4}x-5\)
Step-by-step explanation:
Write an equation of the line in slope-intercept form where slope equals 1/4 and y-intercept equals 0, - 5
Slope-intercept form: y = mx + b
m = slope
b = y-intercept (when x = 0)
Ex:
y = 5x + 2
m = 5b = (0, 2)For our problem:
\(y=\frac{1}{4}x-5\)
m = \(\frac{1}{4}\)b = (0, -5)Hope this helps!
9. At a scouts' camp. there is sufficient food to last 72 scouts for 6 days. If 18 scouts do not turn up for the camp, how much longer can the food last for the other scouts?
Answer:
9 54 divided by 9 = 6 72 - 18 = 54
Step-by-step explanation:
exactly 12 times as many females as males attended which learning activity?? mathh
Select the correct answer. Maria donates a fixed amount, a, to a charity each month. If she donates $300 in 12 months, what is the equation for a? A. a + 300 = 12 B. a × 300 = 12 C. a × 12 = 300 D. a + 12 = 300 E. a + 32 = 100
Answer: C
she donates a for 12 months, the 12 in the a * 12=300. the a is the fixed amount, meaning she will donate a 12 times in a year.
The law of conservation of matter states that matter is neither created or 33 points
destroyed. Therefore, matter on Earth is not lost or gained, it only
changes form. The elements that compose the biomolecules of any
organism have been recycled millions of times. This brief food web
represents the flow of energy and carbon is a grassland ecosystem
Note: (1) The label g/m2 represents g/m2. When the grasshopper dies,
how much carbon matter will be available to the decomposers in the
food web?
Cellular Respiration
Shrew
A. 10 g/m2
B. 55 g/m2
C. 65 g/m2
D. 110 g/m
Answer:
B)65 g/m2
Step-by-step explanation:
I did it on usa test prep
Answer:
C
Step-by-step explanation:
I did it on USATestPrep
Each volleyball set costs $63.74.
Which equation represents the cost, c, of n sets?
The equation that represents the cost, c, of n sets is c = 63.74n
Which equation represents the cost, c, of n sets?from the question, we have the following parameters that can be used in our computation:
Each volleyball set costs $63.74.
Let the total number of sets be n
So we have
Cost of n = 63.74 * n
This gives
c = 63.74n
Hence, the equation is c = 63.74n
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A number line going from 1 to 13. 1 dot is above 1. 3 dots are above 2. 1 dot is above 3. 3 dots are above 4. 1 dot is above 5. 0 dots are above the remaining numbers. If a new data point at 12 is added to the graph, which will be true? The mean will increase, and the median will stay the same. The median will increase, and the mean will stay the same. The mean will increase more than the median, but both will increase. The median will increase more than the mean, but both will increase.
Answer:
Answer: C) The mean will increase more than the median, but both will increase.
Step-by-step explanation:
I got it right on the test review.
Answer:
just took the test the answer is C)
Step-by-step explanation:
A) Find the linear approximation to the function f(x) = ln(x) near a = 1.
B) Then use the linear approximation found to estimate ln(0.97).
C) Lastly is the answer you found in b an underestimate or an overestimate?
The linear approximation found to estimate ln(0.97) is 9.1%.
What is linear approximation?The definition of a linear approximation of a function is simply utilising a line to approximate the value of the function at a point. We recall the idea of the tangent line as soon as we see a curve (of a function) and a point on it. The value of the function at any point that is very close to the provided point can be roughly determined using the equation of the tangent line if the equation of the tangent line is found at the supplied point.
The given function is f(x) = ln(x).
We start by finding the equation of the tangent line at x=1 to the graph of y=lnx.
f(1)=ln(1)=0
We know the derivative of f(x) will be f'(x)=1/x
f'(1)=1/1=1
Therefore, the equation of the tangent is:y−y1=m(x−x1)
y−0=1(x−1)
y=x−1
An approximation for ln(1.19) would be y=1.19−1=0.19
The actual value, obtained using a calculator, would be 0.174. This means the percent error is (0.19−0.174)/0.174 ×100
= 9.1%
Therefore, the linear approximation found to estimate ln(0.97) is 9.1%.
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How much interest will $1,200 earn over 10 years with 5% interest compounded annually
Answer:
$1,954
Step-by-step explanation:
You can buy 20 pens for $8 or 30 pens for $10. Which is the better deal?
Answer: It would be the first one (20 pens for 8$)
Step-by-step explanation: If you divide 20 by 8 then each pencil will be 2.50$. However if you divide 30 by 10 it will be 3 dollars for each pencil so the first deal will be better since you spend less money.