Which statements are always true regarding the diagram? Select three options.
m∠5 + m∠3 = m∠4
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
Answers
The statements that are always true regarding the diagram of interior and exterior angles of a triangle include the following:
C. m∠5 + m∠6 =180°.
D. m∠2 + m∠3 = m∠6.
E. m∠2 + m∠3 + m∠5 = 180°.
What is the Linear Pair Postulate?The Linear Pair Postulate states that the measure of two (2) angles would add up to 180° provided that they both form a linear pair. This ultimately implies that, the measure of the sum of two (2) adjacent angles would be equal to 180º when two (2) parallel lines are cut through by a transversal:
m∠5 + m∠6 =180°.
What is the exterior angle property?The exterior angle property can be defined as a theorem which states that the measure of an exterior angle in a triangle is equal in magnitude to the sum of the measures of the two remote or opposite interior angles of that triangle:
m∠2 + m∠3 = m∠6.
In conclusion, the sum of all the angles formed by a triangle is equal to 180º:
m∠2 + m∠3 + m∠5 = 180°,
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Related Questions
There are 4 jars with 24.44 ounces of sauce in EACH it takes 3.5 ounces of sauce to make a pizza how many WHOLE pizzas can be made?
Answers
Answer: 27 pizzas
Step-by-step explanation:
Total ounces available = 4 jars x 24.44 ounces/jar = 97.76 ounces
(97.76 ounces) x (1 pizza/3.5 ounces) = 27.93 pizzas
You can make 27 whole pizzas (the 28th pizza will be short on the sauce)
Use partial quotients to divide 198➗9 show the work
Answers
Hope that helps
Answer:
22
Step-by-step explanation:
how much would it cost to replace all the windows on all the buildings in the united states?
Answers
what was the blackbird doing in the school library\?
Answers
Classify each number below as an integer or not
Answers
Answer:
42 is an integer
92.96 is not an integer
-529.79 is not an integer
-12/4 is an integer
-19/15 is not an integer
It takes a word processor 39 minutes to word process and spell check 6 pages. Find how long it takes her to word
process and spell check 28 pages.
I need the answer
Answers
Answer:6/39=2/13
Step-by-step explanation:the spell check need 2/13 like 1.5sec to check one words
49. $10,000 is invested at an APR of 4% for 10
years.
50. $10,000 is invested at an APR of 5% for 20 years.
51. $15,000 is invested at an APR of 3.2% for 25 years.
52. $3000 is invested at an APR of 4% for 12 years.
53. $5000 is invested at an APR of 3.1% for 12 years.
54. $40,000 is invested at an APR of 8.5% for 30 years.
Answers
The total amount, if $10,000 is invested at an APR of 4% for 10 years is $14000.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
$10,000 is invested at an APR of 4% for 10 years.
Calculate the total amount at the end as shown below:
[tex]A = p + p\times r\times t / 100[/tex]
A = 10000 + 10000 × 4 × 10 / 100
A = 10000 + 4000
A = 14000
Similarly, solve all the questions using this formula.
Therefore, the total amount, if $10,000 is invested at an APR of 4% for 10 years is $14000.
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The complete question is:
$10,000 is invested at an APR of 4% for 10 years. Find the total amount after 10 years.
Vaughn is making 24 candy bags to sell at the school fundraiser. The bags of candy at the store contain 18 pieces of candy each and sell for $3.20 a bag. Vaugh will repackage this candy to include 15 pieces of candy in each bag. How much profit, not including the money he spent on the candy, will Vaugh make if he charges $3.80 per bag.
Answers
The profit that Vaughn would make if he charges $3.80 per bag is $27.20.
What is the profit?The first step is to determine the total pieces of candy that Vaughn plans to sell.
Total pieces of candy = number of pieces in each bag x total number of bags
Total pieces of candy = 24 x 15 = 360
The second step is to determine the total number of bags he has to buy.
Number of bags he is going to buy = total pieces of candy he is going to sell / number of pieces in each bag
Number of bags he is going to buy = 360 / 18 = 20 bags
The third step is to determine the total cost of buying 20 bags
Total cost = number of bags he is going to buy x cost per bag
Total cost = 20 x $3.20
Total cost = $64
The next step is to determine the total revenue from making 24 bags.
Total revenue = price per bag x total number of bags
Total revenue = $3.80 x 24
Total revenue = $91.20
Profit = revenue - cost
$91.20 - $64 = $27.20
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Solve for a. √a-b+c=3 A. a=3+√b-√c B. a=9+b-c C.a=9+√b-√c D. a=3+b-c
Answers
Answer:
a=9+b−c
Step-by-step explanation:
are 25/150, 28/154, or 27 62 equivalent to each other?
Answers
The fractions 25/150, 28/154, or 27/62 aren't equivalent.
What is a fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In order to know if they're equivalent fractions, we can convert them to percentage. This will be:
25/150 × 100 = 16.7%
28/154 × 100 = 18.2%
27/62 × 100 = 43.5%
In this case they're not equivalent.
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Find log0.81 rounded to the nearest tenth.
Answers
The value of the logarithm of 0.81 for logarithm properties is equal to - 0.1.
How to determine the value of a logarithm
Herein we must use logarithm properties to simplify a given logarithm and solve the resulting expression. The properties to be used in this question are described below:
㏒ (a / b) = ㏒ a - ㏒ b
㏒ aᵇ = b · ㏒ a
First, write the logarithmic equation:
㏒ 0.81
㏒ 81 / 100
Second, use the logarithmic property for a division:
㏒ 81 - ㏒ 100
Third, use the logarithmic property for a power:
㏒ 3⁴ - ㏒ 10²
4 · ㏒ 3 - 2 · ㏒ 10
4 · ㏒ 3 - 2
4 · 0.477 - 2
- 0.092
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Course Grade You were 6 points shy of a B in yo
394. How many points were possible in the course?
mathematics course. Your point total for the course was
(Assume that you needed 80% of the course total for a B.)
Answers
The point total possible for the given course is equal to 500.
What is a Percent?
A ratio whose second term is 100 is known as a percent. Parts per hundred are used in percentages. The mathematical representation of percent is %.The percent formula is given as, [tex]x=p \times b[/tex], where b is the base number, x is the number being compared to b, and p is the percent in decimal form.In the question, it is given that you were 6 points shy of a B and the current total points you have is 394.
So, the total number of points you require for a B is calculated as,
[tex]394+6=400[/tex]
So, the value of x is 400.
It is given that you need 80% of the course total for a B.
[tex]\implies p=\frac{80}{100}\\ \implies p=0.8[/tex]
Here, we have to find the base number (b).
We have, x = 80% of b
[tex]\implies x=0.8 \times b\\\implies 400= 0.8 \times b\\\implies x=\frac{400}{0.8}[/tex]
Simplifying, we get
[tex]x=500[/tex]
Therefore, 500 points were possible in the course.
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76°
59°
What does m/1 =?
Answers
Answer:
45º
Step-by-step explanation:
Gabriel is 10 years younger than mikhail. The sum of their ages is 88. What is mikhail's age
Answers
Answer:
Mikhail is 49 years old.
Step-by-step explanation:
39+49=88
NO LINKS!! Fredrico's Bank will you decide how often your interest will be computed, but with certain restrictions. Read the following options. What is the best deal after one year? Justify your answer.
Answers
Compounded quarterly; annual interest rate is 7.875%
========================================================
Explanation:
Let's say we are depositing P = 100 dollars, and we leave it in the account for a timespan of t = 1 year.
This will apply for options A through E.
-------------------
If we go with option A, then we would have n = 1 and r = 0.08
Use the compound interest formula to get the following:
A = P*(1+r/n)^(n*t)
A = 100*(1+0.08/1)^(1*1)
A = 108
We'll have $108 dollars in the account at the end of 1 year if we go with option A. The amount of interest only is A-P = 108-100 = 8 dollars.
-------------------
For option B, we have: n = 4 and r = 0.07875
A = P*(1+r/n)^(n*t)
A = 100*(1+0.07875/4)^(4*1)
A = 108.110625948487
A = 108.11
So far option B is slightly better since you've earned an extra $0.11, aka 11 cents.
-------------------
For option C, we have: n = 4 and r = 0.07875
A = P*(1+r/n)^(n*t)
A = 100*(1+0.0775/12)^(12*1)
A = 108.031299777277
A = 108.03
This amount is less compared to the $108.11 with option B. Therefore, option B is still the best so far.
-------------------
For option D, we have: n = 52 and r = 0.07625
A = P*(1+r/n)^(n*t)
A = 100*(1+0.07625/52)^(52*1)
A = 107.917207523206
A = 107.92
This is worse compared to option C.
Option B is still the best so far.
-------------------
For option E, we have: n = 365 and r = 0.075
A = P*(1+r/n)^(n*t)
A = 100*(1+0.075/365)^(365*1)
A = 107.787584644
A = 107.79
---------------------
Here's a table comparing the balance after 1 year for options A through E. Those balances all have a starting point of $100 as the deposit.
[tex]\begin{array}{|c|c|} \cline{1-2}\text{Option} & \text{Balance after 1 year}\\\cline{1-2}A & \$108\\\cline{1-2}\boldsymbol{B} & \boldsymbol{\$108.11}\\\cline{1-2}C & \$108.03\\\cline{1-2}D & \$107.92\\\cline{1-2}E & \$107.79\\\cline{1-2}\end{array}[/tex]
Option B is the best choice earning the most ($108.11) if you deposit $100.
There's nothing special about the $100, so feel free to change it to something else to try other starting deposits. You'll find that option B will still provide the highest return.
Answer:
B
Step-by-step explanation:
Compound Interest Formula
[tex]\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}[/tex]
where:
A = final amountP = principal amountr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedUse the Compound Interest Formula with the given values for each option to calculate a final equation where A equals a multiple of P.
The option with the greatest coefficient of P is the account which yields the highest interest after one year, and is therefore the best deal.
Option AGiven:
r = 8% = 0.08n = 1 (annually)t = 1 yearSubstitute the given values into the formula:
[tex]\implies \sf A=P\left(1+\dfrac{0.08}{1}\right)^1[/tex]
[tex]\implies \sf A=1.08P[/tex]
Option BGiven:
r = 7.875% = 0.07875n = 4 (quarterly)t = 1 yearSubstitute the given values into the formula:
[tex]\implies \sf A=P\left(1+\dfrac{0.07875}{4}\right)^{4 \cdot 1}[/tex]
[tex]\implies \sf A=P\left(1.0196875)^4[/tex]
[tex]\implies \sf A=1.081106259P[/tex]
Option CGiven:
r = 7.75% = 0.0775n = 12 (monthly)t = 1 yearSubstitute the given values into the formula:
[tex]\implies \sf A=P\left(1+\dfrac{0.0775}{12}\right)^{12\cdot 1}[/tex]
[tex]\implies \sf A=P\left(1.006458333\right)^{12}[/tex]
[tex]\implies \sf A=1.080312998P[/tex]
Option DGiven:
r = 7.625% = 0.07625n = 52 (weekly)t = 1 yearSubstitute the given values into the formula:
[tex]\implies \sf A=P\left(1+\dfrac{0.0765}{52}\right)^{52\cdot 1}[/tex]
[tex]\implies \sf A=P\left(1.001471154\right)^{52}[/tex]
[tex]\implies \sf A=1.079441506P[/tex]
Option EGiven:
r = 7.5% = 0.075n = 365 (daily)t = 1 yearSubstitute the given values into the formula:
[tex]\implies \sf A=P\left(1+\dfrac{0.075}{365}\right)^{365\cdot 1}[/tex]
[tex]\implies \sf A=P\left(1.000205479\right)^{365}[/tex]
[tex]\implies \sf A=1.077875846P[/tex]
Summary[tex]\begin{array}{|c|l|}\cline{1-2} \sf Answer\;Option & \sf Coefficient\;of\;P\\\cline{1-2} A & 1.08\\\cline{1-2} B & 1.081106259\\\cline{1-2} C & 1.080312998\\\cline{1-2} D & 1.079441506\\\cline{1-2} E & 1.077875846\\\cline{1-2} \end{array}[/tex]
Therefore, the option with the greatest coefficient of P and therefore the best deal is option B.
Can someone help me with this problem?
Answers
Answer:
$33
Step-by-step explanation:
l=prt = 30 × 0.05 × 2=3
total save = 30+ 3= 33
What is the ratio of shaded to unshaded squares in the grid below?
Group of answer choices
3/5
5/8
1/3
Answers
Answer:
1/3
Step-by-step explanation:
shaded is 10 and unshaded is 15
so the answer is 1/3 because
5 can be multiplied both sides
5 times 3 is 15
5 times 1 is 5
So both sides can be multiplied by 5
Answer: alt account
Step-by-step explanation:
The human heart circulates from 770,000 to 1,600,000 gallons of blood through a person's body every year. Write a compound inequality to represent the number of gallons of blood that the heart circulates through the body in one day. x
Answers
The amount of blood that the human heart circulates every year is represented by the following compound inequality: 770,000 < x < 1,600,000, where x is in gallons of blood.
What is the compound inequality relative to the case?
Herein we must determine the compound inequality, that is, a simultaneous inequality of the form a < x < b, where a and b are the limits of the inequality. According to the statement, the human heart circulates every year at least 770,000 gallons of blood and at most 1,600,000 gallons of blood. Then, the compound inequality that represents the situation is:
770,000 < x < 1,600,000, where x is in gallons of blood.
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Determine which integer in the solution set will make the equation true. 4p + 12 = 16 S: {−1, 1, 3, 4} −1 1 3 4
Answers
Answer: The correct integer is 2.
Step-by-step explanation:
4s − 14 = −6
4(2) − 14 = −6
8 - 14 = -6
-6 = -6 .np it was tough but here! brainliest pls ?
[(1 1/4 - 3/4) · (- 2/3) ³] ÷ (-4)
What is the value of the expression
Answers
Answer:
Step-by-step explanation:
1 1/4-3/4=5/4-3/4=(5-3)/4=2/4=1/2
(-2/3)3=-8/27
kay learned that the average snail moves about .013 meters per second . How many centimeters per second does a snail move?
Answers
Answer: 1.3 centimeters
Step-by-step explanation:
.013 x 100 = 1.3
Who would win the race, (Camila or gabriela) Please help, on edge of failing ngl. !!
Answers
Answer:
Camilla will win.
Step-by-step explanation:
Camilla's rate = 12
Gabriella's rate = 10
find two integers whose sum 14 is and product is 45
Answers
Answer:
3 and 9
Step-by-step explanation:
The factors of 45 are 1, 3, 5, 9, 15, 4.
3x9=45
3+9=14
3x9=14 no problem
Help please i need to find what mHJ is
Answers
Answer: 72 for HJ.
Step-by-step explanation:
The ratio x:y is equal to is 2 : 5, and y is 80% of z. Write an equation to represent the proportional relationship between x and z.
Answers
Answer:
z = 3.125 * x
Step-by-step explanation:
since y is 80 percent of z, we can represent it in the form of a ratio as 80:100.
Simplify it down: 80:100 = 8:10 = 4:5
therefore x:y = 2:5
and y:z = 4:5
"y" is common in both of these ratios. Therefore we now have to make the value of Y same in both of the ratios. Therefore we find the least common multiple of both the y values which is 5 and 4. It is 20.
Now we make the value of y in both the ratios 20. So we need to multiply 5 in 2:5 by 4. Since we multiplied one of the values by 4 we have to multiply the other one as well (2*4). Now our new ratio for x:y is 8:20. Do the same for the other ratio. the other ratio is 4:5. the y value here is 4. 4 needs to be multiplied by 5 to become 20. Therefore multiply 4 by 5 and multiply 5 by 4. our new ratio for y:z is 20:25
As you can see both the y values are similar now.
x:y = 8:20
y:x = 20:25
therefore we can now write x:y:z as 8:20:25
that also means that x:z is now 8:25.
Now we know that when x is 8 z is 25. in this case. 8 and 25 are directly proportional.
therefore we can write an equation as
25 = k*8
k = 25/8
k = 3.125
therefore z = 3.125 * x
HELP!! 30 POINTS!!
What is the correlation of the data shown?
0
1
-0.5
-1
Answers
The correlation of the data shown on the graph is 0
How to determine the correlation?In this question, the graph represents the given parameter
From the graph, we have the following observations
The x values is on the horizontal axisThe y values is on the vertical axisAs the x values increase, the y values do not follow a patternWhen the change (increase) in the x values causes a random change (increment) in the y values, then the correlation is 0
From the list of options, we have
-1, -0.5 and 1 are not zero i.e. 0
This means that the correlation is (a) 0
Hence, the correlation of the data is 1
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16 divide 1 2 The one and two is a fraction together
Answers
Answer:
It's 32.
Step-by-step explanation:
Multiply 16 x 2 = 32.
I hope this helps.
Given the function y = -5x +4, what is the range of the function if the domain is {-2, 0,5}
Answers
Answer:
range is { - 21, 4 , 14 }
Step-by-step explanation:
the domain gives the value of x , the input
the range is the corresponding values of y, the output
substitute values of x from the domain into the function
x = - 2 : y = - 5(- 2) + 4 = 10 + 4 = 14
x = 0 : y = - 5(0) + 4 = 0 + 4 = 4
x = 5 : y = - 5(5) + 4 = - 25 + 4 = - 21
then range is { - 21, 4 , 14 }
Question
What is the slope of the line on the graph?
-2
Enter your answer in the box.
Answers
Answer:
Step-by-step explanation:
Used (0,0) and (-2,4)
(4-0)/(-2-0)= m
m= 4/-2 = -2
What are the solutions for the system of equations???
Answers
Answer:
(0, 1) and (-3, -2)
Step-by-step explanation:
The solutions are the points of intersection of the two graphs.
We can read the points off the graph.
Answer: (0, 1) and (-3, -2)