The measure of ∠AKG is 133°.
What is m∠AKD?
Enter your answer in the box.
m∠AKD =
To find m∠AKD, subtract the measure of ∠AKG from 180 degrees.
Explanation:To find the measure of ∠AKD, we need to use the fact that the sum of the measures of angles in a triangle is 180 degrees. Since we know that ∠AKG is 133 degrees, we can subtract this from 180 to find the remaining angle.
180 - 133 = 47 degrees
Therefore, m∠AKD = 47 degrees.
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Sawyer’s mom paid $1.50 for a 3/4 pound box of cereal. How much is that per pound?
A.$1.50
B.$1.75
C.$2.00
D.$2.50
Use the premises and conclusion to answer the questions.
Premises:
If a quadrilateral has two pairs of parallel sides, then it is a parallelogram.
If a quadrilateral is a parallelogram, then its opposite angles are congruent.
Conclusion:
If a quadrilateral has two pairs of parallel sides, then its opposite angles are congruent.
Which statement best describes this argument?
The argument is valid by the law of syllogism.
The argument is invalid because the conclusion does not follow the premises.
The argument is valid by the law of detachment.
The argument is invalid because the premises are not true.
Answer:
The argument is valid by the law of syllogism.
Step-by-step explanation:
The law of syllogism is also called the law of transitivity. It is based on the transitive property, which states "if a = b and b = c, then a = c."
In our problem, our statement a would be "A quadrilateral has two pairs of parallel sides". Our statement b would be "It is a parallelogram." Our statement c would be "Its opposite angles are congruent."
That would make "if a = b"
"If a quadrilateral has two pairs of parallel sides it is a parallelogram."
Then "b = c" would be
"If a quadrilateral is a parallelogram, its opposite angles are congruent."
"a = c" would then be
"If a quadrilateral has two pairs of parallel sides its opposite angles are congruent."
This is the conclusion we were given, so this is the law of syllogism.
A total of 231 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?
Final answer:
To determine the number of adult tickets sold for the school play, an equation was set up using algebra with x representing adult tickets, which turned out to be 77 after solving the equation x + 2x = 231.
Explanation:
The student has asked to find out how many adult tickets were sold when a total of 231 tickets were sold for a school play, with the number of student tickets being two times the number of adult tickets. To solve this, we can use algebraic methods and set up an equation.
Let x be the number of adult tickets sold, then the number of student tickets sold would be 2x. Given that the total number of tickets is 231, we can write the equation as:
x + 2x = 231
Simplifying, we get:
3x = 231
Dividing both sides by 3, we find that:
x = 77
Therefore, 77 adult tickets were sold.
Roni and Allie are mowing the grass at the soccer field. Roni has a riding lawn mower and can mow the field in 30 minutes. Allie is pushing a lawn mower and can mow the field in 75 minutes.
If Roni and Allie work together to mow the field, what part of the field would Roni mow?
A. about 0.52 of the field
B. about 0.64 of the field
C. about 0.71 of the field
D. about 0.87 of the field
Answer: C. about 0.71 of the field
Step-by-step explanation:
Since, Roni can mow the field in 30 minutes.
Thus, the work done by Roni in one day = 1/30
And, Allie can mow the field in 75 minutes.
Thus, the work done by Allie in one day = 1/75
⇒ The total work done by Roni and Allie in one day when they worked simultaneously,
= [tex]\frac{1}{30} + \frac{1}{75}[/tex]
= [tex]\frac{5}{150} + \frac{2}{150}[/tex]
= [tex]\frac{7}{150}[/tex]
[tex]\implies \text{The part of work done by Roni} = \frac{\text{the work done by her in one day}}{\text{Total work they done in one day}}[/tex]
[tex]= \frac{1/30}{7/150}[/tex]
[tex]= \frac{5}{7}=0.714285714\approx 0.71[/tex]
⇒ Option C is correct.
what is the solution of x^2+x-6≤0?
Which figures are polygons? Figure A has 6 sides all made of line segments. figure b is a regular hexagon. it has 6 sides made all of segments. Figure c is shaped iike a long semicircle. the bottom is a segment. The top part is curved. Figure D has 7 sides which are all segments.
Answer:
A,B,D
Step-by-step explanation:
i go to k-12 and the answer is correct
Why does the limit as x approaches zero for the function f(x)=sin(π/x) not exist?
limx→0 sin(π/x)
Which of the symbols does not make the following statement true?
|-1| ___ |1|
>
≤
≥
In a pet store the number of fish is 120 more than three times the number of reptiles. If the pet store has 210 fish, how many reptiles does it have? Write a two step equation to model the scenario. Then solve the question.
Answer:
110
Step-by-step explanation:
Make a table for a function whose graph has a y-intercept of 4 and a slope of 2/3.
assume f(x)=4x+8 and g(x)=5. what is the value of (golf)(-1)
idk what is it, show work plz?
∠A and ∠B are vertical angles with m∠A=x and m∠B=3x−60 . What is m∠A ? Enter your answer in the box.
we know that
Vertical angles are congruent angles opposite each other where two lines cross
so
in this problem
m∠A=m∠B
so
substitute the values
[tex]x=3x-60\\3x-x=60\\2x=60\\x=60/2\\x=30\°[/tex]
therefore
the answer is
The measure of angle A is [tex]30\°[/tex]
Please help me with this!!!
To the nearest tenth, find the perimeter of ∆ABC with vertices A(2,4), B(-2,1) and C(2,1). Show your work.
PLEASE HELP ME IN THESE TWO QUESTIONS ASAP! AND YES, I AM GOING TO MARK YOU AS THE BRAINLIEST ANSWER!!!!!
Standard form of 5y=35+10x
Answer:
[tex]5y - 10x - 35 = 0[/tex]
Step-by-step explanation:
The standard way to write a linear relationship between the x and y variables is through a homogeneous equation as a combination of the x and y variables with real coefficients. The form is given by the expression:
[tex]ax + by + c = 0[/tex]
The equation [tex]5y = 35 + 10x[/tex] can be written in standard form if terms are transposed, obtaining [tex]5y - 10x - 35 = 0[/tex]
What's the greatest common factor of 45,9,63
Answer:
GCF = 9
Step-by-step explanation:
Bob did one random math fact on the first day, two random math facts on the second day, three random math facts on the third day, and so on. On which day will he do his 97th random math fact?
it will be on the 14th day.
See attached picture:
Answer:
on the 14th day
Step-by-step explanation:
Sue has 18 sweets. tony has 18 sweets.sue gives tony x sweets. Sue then eats 5 sweets. Tony then eats half of his sweets. Write expressions for the number of sweets sue and tony have now
The expressions for the number of sweet Sue and Tony have are 13 - x and
18 + x / 2 respectively
Sue has 18 sweet.
Tony has 18 sweet.
Sue gives Tony x sweet . Sue sweet will be
18 - xSue then eats 5 sweets then his sweet will be
18 - 5 - x = 13 - xTony collected x sweet from Sue. His sweet will be
18 + xTony ate half of his sweets . His remaining sweet will be
18 + x / 2The expression for Sue sweets is : 13 - x
The expression for Tony sweets is : 18 + x / 2
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Expressions for the number of sweets sue and tony have now :
Sue: 13 - x sweets
Tony: (3/2)x + 18 sweets
Here are the expressions for the number of sweets Sue and Tony have now:
Sue: 18 - x - 5 = 13 - x
Tony: 18 + x - (1/2)x = (3/2)x + 18
Here's a breakdown of the calculations:
Sue's sweets:
Sue starts with 18 sweets.
She gives Tony x sweets.
She then eats 5 of her sweets.
Therefore, Sue now has 18 - x - 5 sweets, which can be simplified to 13 - x.
Tony's sweets:
Tony starts with 18 sweets.
Sue gives him x sweets.
He then eats half of his sweets.
Since Tony eats half of his sweets, he is left with (1/2) of his sweets. Therefore, Tony now has 18 + x - (1/2)x sweets, which can be simplified to (3/2)x + 18.
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275 mm = _____ cm
954 g = _____ kg
1mm = 0.1cm
275 * 0.1 = 27.5 cm
1 g = 0.001 kg
954 x 0.001 = 0.954 kg
Which conversion factors can be used to multiply to 4 km/min to get meters per hour?
Select each correct answer.
A. 1 h60min
B. 1000 m1 km
C. 1 km1000 m
D. 60min1 h
Answer: the answer is B and D
how i know i took a test and it said thes are the anwer
hope this helps you out you a lot
The iq scores of the five members of the duluth family are 100, 82, 104, 96, and 118. for this distribution of scores, the range is:
Final answer:
The range of the IQ scores (100, 82, 104, 96, and 118) for the Duluth family is calculated by subtracting the lowest score from the highest (118 - 82), resulting in a range of 36 points.
Explanation:
The IQ scores of the five members of the Duluth family are 100, 82, 104, 96, and 118. To find the range of this distribution of scores, you first identify the highest and lowest scores in the set. The highest IQ score is 118, and the lowest is 82. The range is the difference between the highest and lowest scores, so:
Range = Highest score - Lowest score
Range = 118 - 82
Range = 36
Therefore, the range of the distribution of IQ scores for the Duluth family is 36 points.
In 2003, the population of an african country was about 12 million people, which is 3 million more than 2 times the population in 1950. enter and solve an equation to find the approximate population p (in millions) in 1950. an equation is . the approximate population in 1950 was million people.
Answer:
3 million
Step-by-step explanation:
A football team lost 5 yards on one play and gained 12 yards on the next play. write a sum of integers to find the overall change in field position. explain your answer
Miguel received a $50 gift card to the bookstore. he would like to buy 3 books that cost$ 15.75 each including tax. he estmates that he cannot bey all three book because each book cost about $20, and all three book would cost $60 .is his estimate resonable?explain your reasoning.
How to find the other endpoint with the given endpoint and midpoint?
Write an equation of an ellipse with vertices of (-3, 0) and (3, 0), and co-vertices (0, -5) and (0, 5). Graph the ellipse.
This graph is the answer:
The equation of a parabola is given.y=1/8x^2+4x+20 What are the coordinates of the focus of the parabola?
sharon drives 3 miles to every 2 miles driven by steve how far does sharon drive if the journey is 250 miles