In parallelogram ABCD, m∠A = 24°. What are the measures of angles B, C, and D? Justify. please help
Answers
therefore, another angle is also 24°and the other two are 360-24*2=312. 312/2=156
four angles are 24,24,156,156
a+b+c+d=360°
The opposite angles in the parallelogram are congruent.
a=c
b=d
So if a=24°... and we know a=c, then c=24°.
a=24
c=24
b=?
d=?
a+b+c+d=360°
plug in the data we know
24+b+24+d=360
48+b+d=360
b+d=312
If b+d=312, and we know that they are congruent, then to find their values just divide 312 by 2
312/2=156°
b=156°
d=156°
Related Questions
what is the solution to this equation x-16=-8
Answers
Add 16 on both sides
x=-8+16
And solve; your answer will be
x=8
The solution to the equation x - 16 = -8 is x = 8.
We have,
To solve the equation x - 16 = -8, we want to isolate the variable x on one side of the equation.
First, let's add 16 to both sides of the equation:
x - 16 + 16 = -8 + 16
This simplifies to:
x = 8
Therefore,
The solution to the equation x - 16 = -8 is x = 8.
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Which expression is equivalent to i^233
Answers
divide 233 by 4 to find the remainer: 233÷4=58, remainder is 1
so the result is i
i^233=(i^4)^58×i=1^58×i=i
Answer: the answer is i
Step-by-step explanation:
You may use any word processing program or Web 2.0 tool to present your argument, but you must include the following: A summary of your argument. The summary should begin with the argument statement you chose. In addition, provide at least three reasons why the method you chose is better than the other method and at least three reasons why the other method is not better. This summary can have a lot of opinion in it and should be persuasive and argumentative. A list of at least two resources used. Resources may include interviews with professionals and/or URLs of websites. Remember, you may gather ideas from research, but you must explain the ideas yourself.
Answers
In summary, an effective argumentative essay includes a clear thesis statement followed by logically structured reasons supported by a mix of well-researched evidence and personal knowledge, ensuring a persuasive and objective argument.
Students tasked with creating an argumentative essay must focus on developing a persuasive argument. The essay should begin with a summary of the argument that clearly states the main thesis. Following this, at least three reasons should be provided to support why the adopted approach is superior, using logical and persuasive evidence, such as statistics, expert opinions, and relevant examples. Contrary to this, the reasons why the alternative method is less effective should also be articulated. The Rule of 3 is a strategic approach where the contentions made to support an opinion are outlined in three clear points, enabling a structured and convincing argument to be presented.
To successfully make an argument in a position paper, it is crucial to provide a paragraph for each reason, starting with a clear topic sentence and backed by well-researched evidence. This can include research findings, personal knowledge, and a variety of evidence to ensure the argument is perceived as objective. An informal approach may also be used to frame the debate, maintaining relevance and ensuring engagement with the topic.
Finally, it's vital to use reliable resources to supplement the argument. A combination of research from credible sources and well-prepared reasoning constructs an objective and persuasive document that clearly distinguishes the author's ideas from those presented in the referenced texts.
A hot air balloon descends at a rate of 320 ft per minute for 3 minutes use integers to calculate represent the balloons total change in altitude
Answers
320 (feet per minute) / 1 (minute) = x (feet per minute) / 3 (minutes)
1) Divide: 320/1 = 320.
2) Multiply: 320 x 3= 960.
The balloon that descends at a rate of 320 feet/minute (so, every minute, it descends 320 feet) descends a total of 960 feet in 3 minutes.
The balloon's total change in altitude is -960
Anyone please help solving this maths problems not sure if I did it right. Thanks.
Answers
1/2 is equivalent to 4/8
6/8 is equivalent to 3/4
1/4 is equivalent to 2/8
1/3 is equivalent to 2/6
Anthony ‘s family went out to dinner. They left at the. Time 5:05 pm any they returned home at 6:52p.m
How long was Anthony ‘s family gone
Answers
The bus will leave Norfolk, VA at 6:00 a.m. on Thursday. The distance from Norfolk to New York City is 350 miles. The average speed of the bus is 50 miles per hour. 1.Determine how long it will take the charter bus to arrive in New York City. Represent the distance traveled every hour in a table of values.
Answers
A table would look something like this:
0 1 2 3 4 5 6 7
0 50 100 150 200 250 300 350
Hope you can read it and this helps
Is y = 0 the asymptote of all functions of the form f(x) = ab^x? Explain your reasoning.
Answers
Final answer:
No, y = 0 is not the asymptote of all functions of the form f(x) = ab^x. The y = 0 line is called the x-axis and is only an asymptote for certain functions. Functions of the form f(x) = ab^x do not have y = 0 as an asymptote.
Explanation:
No, y = 0 is not the asymptote of all functions of the form f(x) = ab^x. The y = 0 line is called the x-axis and is only an asymptote for certain functions. In order for a function to have y = 0 as an asymptote, the limit of the function as x approaches infinity or negative infinity would need to be 0. For example, the function f(x) = 1/x has y = 0 as an asymptote because as x approaches infinity or negative infinity, the function approaches 0. However, functions of the form f(x) = ab^x do not have y = 0 as an asymptote because as x approaches infinity or negative infinity, the value of the function either approaches infinity or approaches 0, depending on the values of a and b.
Rachel opened a savings account 6 years ago. The account earns 8% interest, compounded monthly. If the current balance is $1,000.00, how much did she deposit initially?
Answers
how do you solve each absolute value by graphing
Answers
I like to subtract one side of the equation from the other, so the solutions are where the graph crosses the x-axis (the resulting function value is zero).
It can be useful to find the "turning point" of each absolute value expression (where its value is zero) and graph that and some points on either side.
i don’t know how to do this. can someone please help me :)
Answers
.. surface area = 2*(end area) +(lateral area)
.. = 2*(π*r^2) +(2π*r*h)
.. = 2π*r*(r +h)
.. = 2*3.14*(8 in)*(8 in +8 in)
.. = 3.14*256 in^2
.. ≈ 803.8 in^2
The 3rd selection is appropriate.
A cube has a surface area of 486 square meters. What is the volume of the cube.
Answers
a=486/6=81
s=sqrt(81)=9
v=9^3=729
the volume of the cube is 729cm^3
aequals486/6=81
sequalssqrt(81)=9
vequals9^3=729
the volume of the cube is 729cm^3
Melanie eats 1.5 pounds of cereal each week. Which model below best represents the number of pounds of cereal she eats in .5 weeks?
Answers
We have then:
x: number of weeks
y: amount of cereal that Melanie eats
We now write the function that models the problem:
[tex]y = 1.5x [/tex]
Then, for 5 weeks we have:
[tex]y = 1.5 (5) y = 7.5 pounds[/tex]
Answer:
A model that best represents the number of pounds of cereal she eats is:
[tex]y = 1.5x [/tex]
For 5 weeks we have:
[tex]y = 7.5 pounds[/tex]
What is the b in 8b=5.6
Answers
Explanation: Since we are doing multiplication (8 * b) we would now do the inverse operation which is dividing. First, it's 5.6 divided by itself so we can cross that out, then 8 divided by 5.6 = .7
If we put 8 * .7 in a calculator, sure enough, it comes out as 5.6
8n+3n-n+3n+5n I need help with this
Answers
This problem is simply about combining like terms. Like terms in this scenario is anything with a similar or different coefficient and the same variable. Here, we see that everything is a like term, because they all have n as their variable.
When we have this situation, we can simply add or subtract the number like normal, and keep that n there. We have:
8n + 3n - n + 3n + 5n =
11n - n + 3n + 5n
Let's think about how to subtract that n. When we have 11n, we have n + n + n... 11 times. That's why multiplication is repeated additon. If we subtract one n, we take one n out to get 10n. We have:
10n + 3n + 5n = 13n + 5n =
18n
Hope this helps!
Write a story problem to represent 5 divided by 1/4
Answers
Hope this helps!
The problem can be seen below, we will see that the quotient between the given numbers is 20.
How to write the problem?Here we want to divide 5 by 1/4.
An example of this can be: Assume that you have $5, and you want to buy pieces of wood (to make little houses for birds) such that each piece costs $(1/4).
How many pieces can you buy?
To solve this, we need to take the quotient between 5 and (1/4), this gives:
[tex]\frac{5}{1/4} = 20[/tex]
You can buy 20 pieces.
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Marta bought new fish for her home aquarium. She bought 3 guppies and 2 platies for a total of $13.95. Hank also bought guppies and platies for his aquarium. He bought 3 guppies and 4 platies for a total of $18.33. Find the price of a guppy and the price of a platy.
Answers
The price of a guppy and the price of a platy are $3.19 and $2.19 respectively.
What is equation?A formula known as an equation uses the equals sign to denote the equality of two expressions. Equation: A declaration that two expressions with variables or integers are equal.
Given:
Marta bought 3 guppies and 2 platies for a total of $13.95,
Hank bought 3 guppies and 4 platies for a total of $18.33,
Write the equation of the above statements as shown below,
3g + 2p = 13.95
3g + 4p = 18.33
Here, g is the price of guppies and p is the price of platies,
Solve the above equation by elimination as shown below,
3g + 2p - (3g + 4p) = 13.95 - 18.33 (Subtract equation from each other)
3g + 2p - 3g - 4p = -4.38
- 2p = -4.38
p = 4.38 / 2
p = $2.19 and,
3g = 18.33 - 4 × 2.19
3g = 9.57
g = 9.57 / 3
g = $3.19
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What is the value of x in this number sentence?
32 = 17 + x
Answers
32 - 17 = x
15 = x
To find our answer, the value of x, we only have to substract 17 from both sides. This gives us the following
15 = x
x = 15
So the value of x in this number sentence is 15
A rectangular prism has a length of 112 meters, a width of 3 meters, and a height of 512 meters.
Enter the volume of the prism as a mixed number in simplest form in the box.
Answers
Answer:
[tex]Volume=24\frac{3}{4}m^3[/tex]
Step-by-step explanation:
The volume of a rectangular prism is calculated using the formula;
[tex]Volume=l \times w\times h[/tex]
where [tex]l=1\frac{1}{2}m[/tex] is the length, [tex]w=3m[/tex], is the width and [tex]h=5\frac{1}{2} m[/tex] is the height of the rectangular prism.
We substitute all these values into the formula to obtain
[tex]Volume=1\frac{1}{2} \times 3\times 5\frac{1}{2}[/tex]
Convert to improper fractions to get;
[tex]Volume=\frac{3}{2}\times 3\times \frac{11}{2}[/tex]
[tex]Volume=\frac{99}{4}[/tex]
[tex]Volume=24\frac{3}{4}m^3[/tex]
The cost of a television is $429.99 after sales tax is added. If the sales tax is 7.5%, what was the cost of the television before sales tax was added? (A) $377.74 (B) $389.46 (C) $397.74 (D) $399.99 (E) $459.27
Answers
The original cost of the television before a 7.5% sales tax was added, which made the total $429.99, is optionD. $399.99.
The question is asking to find the original cost of a television before sales tax was added. Given that the final cost after including the 7.5% sales tax is $429.99, we need to find the price before this tax was applied. To calculate this, we first convert the percentage to a decimal, which is 0.075, and then create an equation to represent the relationship between the original price (let's call it x) and the total cost with tax. The equation would be x + 0.075x = $429.99. This is equivalent to 1.075x = $429.99. Solving for x gives us the original price of the TV before tax.
To solve for x, we would divide both sides by 1.075, which is the combined total of the original price and the tax. x = $429.99 / 1.075. This calculation gives us the original price of the TV, which turns out to be $399.99, which is option (D).
A rectangle has a perimeter of 48 feet and a length of 14 ft which equation can you solve to find the width
Answers
Answer: 2n + 28 = 48
Step-by-step explanation: Got it right on TTM
What is 6x – 8 = 4 written as a system?
A. y = 6x – 8
y = –4
B. y = 6x – 8
y = 4
C. y = –6x + 8
y = 4
Answers
y = 6x - 8
y = 4
which is the second option
Explanation:
The general form of a linear system is:
y = mx + c
The given equation is:
4 = 6x - 8
Comparing the given equation with the general form, we will find that:
The system is:
y = 6x - 8
y = 4
Hope this helps :)
6x – 8 = 4 written as a system y = 6x – 8, y = 4. So, option B) is correct.
An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given,
6x-8=4
For A) Given system
y = 6x – 8.....................1
y = –4.....................2
Substituting y=-4 in eq 1
-4=6x – 8
6x – 8=-4, which is not the same as the given equation.
For B) Given system
y = 6x – 8.....................3
y = 4.....................4
Substituting y=4 in eq 3
4=6x – 8
6x – 8=4, which is the same as the given equation.
For C) Given system
y = -6x +8.....................5
y = 4.....................6
Substituting y=4 in eq 5
4=-6x + 8
-6x +8=4, which is the same as the given equation.
Thus, 6x – 8 = 4 written as a system y = 6x – 8, y = 4. So, option B) is correct.
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What is the domain of the square root function graphed below?
Answers
From the graph, we see the least value of x is 3. x can be any value greater than or equal to 3.
The domain is
[tex] x \ge 3 [/tex]
Answer:
x greater than or equal to 3
Step-by-step explanation:
got it right on quiz
Thomas wrote the equation y equals 3x + 3/4 when Sandra her equation they discovered that her equation had all the same Solutions at Thomas's equation which equation could be Sandra's
Answers
Write an inequality to represent this situation: Nina wants to take at least $15 to the movies. How did you decide which inequality symbol to use?
Answers
Your doctor told you to eat 25 grams of fiber each day.
You had 4 grams of fiber for breakfast.
What percent of the 25 grams of fiber have you eaten so far?
Answers
what is between 3/8 in a number line
Answers
There are 2 different equalities that I'm not sure which one you want.
so the first one would be
[tex]3 \leqslant x \leqslant 8[/tex]
x is just the variable I chose for this. Now this inequality means that both 3 and 8 are solutions to the problem. x represent all the little numbers in between so to test your answers just plugin the number you're testing in for x. Since 3 is the lowest number it will have a less than or equal to (in this case) sign and 8 is the greatest so that's why the open/greater side is facing the 8. It reads 3 is less than or equal to x and x is less than or equal to 8.
If you meant all number in between 3 and 8 not include either of those numbers than the inequality would be
[tex]3 < x < 8[/tex]
In this case all the numbers between 3 and 8 are solutions but 3 and 8 will not be solutions. the line under the symbol means it includes the number which come before or after it. The inequality reads 3 is less than x which is less than 8. You can also plugin in an answer to test it in place of x.
If you have any questions or it turns out you meant somthing else please tell me and I'll be happy to help, sorry if this isn't what you meant in the question.
To see how costly it would be for other people to complete a similar cycling tour, you decide to work out two averages and compare.
Group A
Person 1: $500
Person 2: $600
Person 3: $900
Person 4: $450
The average amount spent by members of cycle group A was $
Group B
Person 1: $700
Person 2: $500
Person 3: $680
Person 4: $500
The average amount spent by members of cycle group B was $
Answers
Consider the expression 4n3 + 3n2 + 2n + 1. What is the coefficient of n2?
Answers
hope it helps
Answer:
Coefficient of n² is 3.
Step-by-step explanation:
Given : 4n³ + 3n² + 2n + 1.
To find : What is the coefficient of n².
Solution : We have given 4n³ + 3n² + 2n + 1.
Coefficient : A numerical or constant quantity placed before and multiplying the variable in an algebraic expression
Example : 4 in 4x² .
In 4n³ + 3n² + 2n + 1.
Coefficient of n² is 3.
Therefore, Coefficient of n² is 3.
Jessie set up a lemonade stand for three days. On Saturday she sold 10 and 2/3 gallons of lemonade. On Sunday she sold 3 and 1/3 gallons mor3 than she sold on Saturday. On Monday she sold 2 and 2/3 gallons less than she sold on Sunday. How many gallons of lemonade did jessie sell on Monday
Answers
Jessie set up a lemonade stand for three days.
On Saturday she sold 10 and 2/3 gallons of lemonade = 10+2/3 = 32/3 gallons
On Sunday she sold 3 and 1/3 gallons more than she sold on Saturday
Lemonade sold on Sunday = 32/3 + 3 and 1/3 gallons
= 32/3 + 10/3 = 42/3 gallons = 14 gallons
On Monday she sold 2 and 2/3 gallons less than she sold on Sunday
Lemonade sold on Monday = 14 - 2 and 2/3 gallons
= 42/3 - 8/3 = 34/3 gallons
Therefore, Jessica sold 11 and 1/3 gallons of lemonade on Monday