Answers
x = 54
when added, they equal (62 + 54) = 116
Answer:
The correct option is 2.
Step-by-step explanation:
Given information: BC and AD are line segments.
According to the angle sum property, the sum of interior angles of a triangle is 180°.
In triangle DOC,
[tex]\angle C+\angle COD+\angle D=180^{\circ}[/tex]
[tex]y+64^{\circ}+54^{\circ}=180^{\circ}[/tex]
[tex]y+118^{\circ}=180^{\circ}[/tex]
[tex]y=180^{\circ}-118^{\circ}[/tex]
[tex]y=62^{\circ}[/tex]
The value of y is 62°.
If two lines intersect each other then vertical opposite angles are equal.
[tex]\angle COD=\angle AOB=64^{\circ}[/tex]
In triangle AOB,
[tex]\angle A+\angle AOB+\angle B=180^{\circ}[/tex]
[tex]x+64^{\circ}+62^{\circ}=180^{\circ}[/tex]
[tex]x+126^{\circ}=180^{\circ}[/tex]
[tex]x=180^{\circ}-126^{\circ}[/tex]
[tex]x=54^{\circ}[/tex]
The value of x is 54°.
The sum of x and y is
[tex]54^{\circ}+62^{\circ}=116^{\circ}[/tex]
The sum of x and y is 116°. Therefore the correct option is 2.
Related Questions
Quadrilateral ABCD is shown on the grid. Jonah finds the length of the sides of the quadrilateral before finding the perimeter. Which statement is true about the length of the sides of quadrilateral ABCD? Side CD has a length of units. Side BC has a length of units. Side DA has a length of 5 units. Side AB has a length of 6 units.
Answers
The correct option is B. Side BC has a length of √10 units.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that Quadrilateral, ABCD is shown on the grid. Jonah finds the length of the sides of the quadrilateral before finding the perimeter.
The length of side BC will be calculated by using the distance formula:-
D = √ [ ( 3 - 2 )² + 4 - 1 )² ]
D = √ ( 1 + 9 )
D = √10
Therefore, the correct option is B. Side BC has a length of √10 units.
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Using a six-sided die, what is the probability of rolling either a 5 or a 6?
Answers
The probability of rolling either a 5 or a 6 using a six-sided die is 1/3.
What is probability?Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases.
Now it is given that a six-sided die is rolled.
Total Number of outcomes = 6
To get either a 5 or a 6
So, Possible number of outcomes = 2
Since ,
Probability = Possible number of outcomes / Total Number of outcomes
⇒ Probability of rolling either a 5 or a 6 = 2/6
or, Probability of rolling either a 5 or a 6 = 1/3
Thus, the probability of rolling either a 5 or a 6 using a six-sided die is 1/3.
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Kate has some dimes and quarters. if she has 1919 coins worth a total of $2.95, how many of each type of coin does she have?
Answers
If the balance is $1020, the payment is $100, and the interest is 1.5% per month, how much is the unpaid balance?
A) $920.00
B) $933.80
C) $13.80
D) $1,020.00
Answers
Previous balance 1020
Payment 100
Unpaid balance=1020-100=920
So the answer is a
Hope it helps!
a googol is a large number that is the digit one followed by one hundred zeros.if you multiply a googol by 100, how many zeros will that product have
Answers
bill is on the school archery team. the target has a center bull's-eye and two rings around the bull's-eye. the table gives the probabilities of each outcome. what is the probability that bill will get the next arrow in the inner or outer ring?express your answer as a decimal
Answers
Given the table below that gives the probabilities of outcomes.
[tex]\begin{tabular} {|c|c|c|c|c|} \bold{Outcome}&Bull's-eye&Inner ring&Outer ring&Miss\\ \bold{Probability}&0.036&0.297& 0.423&0.244 \end{tabular}[/tex]
The probability that Bill will get the next arrow in the inner or outer ring is given by
P(inner ring) + P(outer ring) = 0.297 + 0.423 = 0.72
Therefore, the probability that Bill will get the next arrow in the inner or outer ring is 0.72
How long does it take for a deposit of $900 to double at 2% compounded continuously?
Answers
Expand
2y (2y + 8 )
Answers
2y x 2y = 4y²
2y x 8 = 16y.
Put it together and you get the answer of:
4y² + 16y.
Hope This Helps You!
Good Luck :)
- Hannah ❤
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{2y(2y + 8)}}\\\\\large\text{DISTRIBUTE \boxed{\text{2y}} WITHIN the PARENTHESES}\\\\\large\boxed{\mathsf{= 2y(2y) + 2y(8)}}\\\\\large\boxed{\mathsf{= 4y^2+ 16y}}\\\\\large\text{You DON'T have any like terms so we cannot do anything to this}\\\large\text{equation.}\\\\\\\huge\boxed{\rm{Therefore, your\ answer \ is: \mathsf{4y^2 +16y}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The total amount of money in a savings account after t years is given by the function A=1000(1.023)^t .
How could this function be rewritten to identify the monthly interest rate?
What is the approximate monthly interest rate?
Drag and drop the choices into the boxes to correctly complete the table. If a value does not match, do not drag it to the table.
Function Monthly interest rate
A = 1000(1 + 0.023)^12t
A = 1000(1.023^12)^t/12
A = 1000(1.023^t/12)^12t
0.23%
0.19%
0.31%
Answers
Answer:
[tex]A=1000(1+\frac{0.023}{12})^{12t}[/tex]
Rate of interest (r) = 0.19% monthly
Step-by-step explanation:
Given: The total amount of money in a saving account after t years.
[tex]A=1000(1.023)^t[/tex]
Formula:
[tex]A=P(1+r)^t[/tex]
Now we compare this formula with with given model.
P=1000
Rate of interest annually (r) = 0.023
Time = t
We need to change into monthly interest
New rate will divide by 12
New time will multiply by 12
[tex]r=\frac{0.023}{12}=0.0019[/tex]
[tex]t=12\times t =12t[/tex]
Function for monthly rate
[tex]A=1000(1+\frac{0.023}{12})^{12t}[/tex]
Rate of interest (r) = 0.19% monthly
[tex]\text{Thus, Function Monthly interest rate: }A=1000(1+\frac{0.023}{12})^{12t}\text{ and Monthly Interest rate }= 0.19\%[/tex]
Tracey paid $170 for an item that was originally priced at $580. What percent of the original price did Tracey pay? Round your answer to two decimal places.
Answers
Let g(x) = 2x and h(x) = x2 + 4. Evaluate (g ∘ h)(3).
A. 16
B. 40
C. 26
D. 36
Answers
The value of (goh)(3) is 26.
What is composition of function?The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)).
given:
g(x) = 2x , h(x) = x²+4
Now,
(goh)(3)
=g(h(3))
=g(9+4)
=g(13)
=2*13
=26
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The letters A, B, C, D, E, F, G, H, I, and J are written on slips of paper and placed in a hat. Two letters are then drawn from the hat. What is the probability that the letters chosen would be only B, C, D, or F?
Answers
Help this is urgent due tomorrow... The lowest price for a play is $15 and the highest ticket price is $45. Write and graph a compound inequality that describes the price of all tickets for the play.
Answers
X= -75/y; X=6
what's the answer & how do u solve this?
Answers
[tex]x = \frac{-75}{y} For x = 6 Well, first replace x by 6 6 = -75/y Cross multiply 6*y = -75 6y = -75 Divide both sides by 6 to find y 6y/6 = -75/6 y= -25/2 Best of luck with your studies! [/tex]
What are the roots of the polynomial equation? 0= x^2 +18x+45
Answers
First factor 45
Second you have (x+3)(x+15)
Third to find you zeros in this form it will be x=-3 and x=-15
Because it would be the opposite pf those numbers in the factored form
Answer:
-15 and -3
Step-by-step explanation:
Which table represents a linear function?
Answers
Hope this helps! :)
Answer:
C: 1 -2
2 -10
3 -18
4 -26
Step-by-step explanation:
how because its me i'm always right
Which choices are equivalent to the quotient below? Check all that apply √75/√15 A. 5 B. √25/√5 C. 15/3 D. √5 E. √3 F. √15/√3
Answers
Answer:
sqrt15/3, sqrt 5, sqrt 25/5
Step-by-step explanation:
aye pex
Four hundred people were asked whether gun laws should be more stringent. three hundred said "yes," and 100 said "no." the point estimate of the proportion in the population who will respond "no" is
a. 75
b. 0.75
c. 0.5
d. 0.25
Answers
p(A)=favourable outcomes/total outcomes
p(A)=100/400
= 1/4 or 0.25
Therefore, the probability a person will respond with a no is 0.25.
Hope I helped :)
The proportion in the population who will respond "no" is 0.25
what is probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Given:
Total people surveyed= 400
people say 'yes'= 300
people say 'no' = 100
Now, proportion in the population who will respond "no" is
= 100/400
=1/40
= 0.25
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When the mean, median, and mode are not in the same place, the distribution is:?
Answers
When the mean, median, and mode are not located at the same point, the distribution is skewed, either to the left (negatively skewed) or to the right (positively skewed).
Explanation:When the mean, median, and mode are not in the same place, the distribution is known to be skewed. If the mean is less than the median, which is often less than the mode, the distribution is skewed to the left (or negatively skewed). Conversely, if the mode is less than the median, which is less than the mean, the distribution is skewed to the right (or positively skewed). Skewness indicates that the data is not symmetrically distributed and reflects the direction of the tail where the values trail off more.
In symmetrical distributions, the mean, median, and mode are all located at the same point, typically at the center of the distribution. However, when the values are not symmetrical, it indicates a skew. For example, in a data set with the values 4, 5, 6, 6, 6, 7, 7, 7, 7, 8, the distribution is not symmetrical since it is skewed to the left, with a higher frequency of higher values.
Thus, understanding the relationship among the mean, median, and mode helps in recognizing the type of distribution and in making inferences about the data set.
Use this graph of g to find g(7)
Answers
Which of the following are NOT sufficient to prove that a quadrilateral is a parallelogram? I. Two pairs of opposite angles congruent. II. A pair of adjacent angles are supplementary. III. Both pairs of opposite sides are congruent. IV. A pair of opposite angles congruent and a pair of opposite sides congruent. V. Both pairs of opposite sides are parallel. VI. A pair of opposite sides parallel and the other pair of opposite sides congruent. VII. One pair of opposite sides are both parallel and congruent. VIII. The diagonals bisect each other. A. IV and VII only B. II, VI, and VII only C. II and VI only D. II, IV, and VII only
Answers
A pair of adjacent angles being supplementary, a pair of opposite angles congruent and a pair of opposite sides congruent, and one pair of opposite sides being both parallel and congruent are not sufficient conditions on their own to prove that a quadrilateral is a parallelogram.
Among the given statements concerning the characteristics that are sufficient to prove a quadrilateral is a parallelogram, the following are NOT sufficient on their own:
A pair of adjacent angles are supplementary (statement II).
A pair of opposite angles congruent and a pair of opposite sides congruent (statement IV).
One pair of opposite sides are both parallel and congruent (statement VII).
While having a pair of adjacent angles that are supplementary is common in parallelograms, it alone does not guarantee that a quadrilateral is a parallelogram, as many quadrilateral types can have supplementary adjacent angles. Similarly, having just one pair of opposite angles and one pair of opposite sides congruent doesn't necessarily make a quadrilateral a parallelogram, as these characteristics could describe a kite or other quadrilaterals as well. The condition of one pair of opposite sides being both parallel and congruent, although a property of parallelograms, is not by itself a conclusive proof, as there may need to be additional information to rule out other shapes like rectangles.
Correct Answer: B. II, VI, and VII only
What is the value of x?
A. 56
B. 78
C. 12
D. 24
Answers
1) The last angle (the one without the X, equals 24 degrees)
2) 180 - 24 = 156
3) 156/2 = x
x = 78
hope this helps
2x = 156
x = 78
answer
B. 78
The final balance in an account that has a monthly fee and automatic monthly deposits is given by the expression. The initial account balance is $1200.
150x−4.99x+1200
What does the expression 150x−4.99x represent?
a.the final balance
b.the monthly balance change
c.the initial balance
d.the monthly fee total
i got b
Answers
Above answer is correct, I took the test.
answer: the monthly balance change
Simplify sec(arcsec 1/2).
A. undefined
B. -1/2
C. 1/2
D. 2
Answers
[tex]\bf likewise\qquad \begin{cases} cos(~~cos^{-1}(whatever)~~)\implies whatever\\ sin(~~sin^{-1}(whatever)~~)\implies whatever\\ tan(~~tan^{-1}(whatever)~~)\implies whatever\\ cot(~~cot^{-1}(whatever)~~)\implies whatever\\ sec(~~sec^{-1}(whatever)~~)\implies whatever\\ csc(~~csc^{-1}(whatever)~~)\implies whatever \end{cases}[/tex]
so, surely you know what that is then.
Explain how to use the grid method for multiplying binomials
Answers
1. Identify all the terms in the expression:
x, 1, x, 2
2. Align the terms in a grid-like fashion according to their binomials:
x 1
x
2
3. Now, multiply all the terms together (ex. x × x is x²)
x 1
x x² 1x
2 2x 2
4. Put all products in decreasing order:
x²+1x+2x+2
5. Combine Like Terms (CLT):
x² + 3x + 2
Therefore, the answer is x² + 3x + 2. As you can see, the grid method is figuratively long, and the FOIL method is definitely recommended. Hope this helped!
The price of 9-volt batteries is increasing according to the function below, where t is years after January 1, 1980. During what year will the price reach $5.00
Answers
In 1994, it will the price reach $5.00.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We are given with the equation as,
⇒ [tex]p(t) = 1.1 e^{0.047t}[/tex]
where p represents the price, t represents the time in years. price varies exponentially with time.
Now, If p is 5 dollars in the future,
Then, We can formulate;
5 = [tex]1.1 e^{0.047t}[/tex]
ln 4.54 = 0.047 t
0.657 = 0.047 t
t = 13.97
t = 14 years
t = 14 years or year 1994.
Thus, In 1994, it will the price reach $5.00.
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HELP PLEASE SOMEONE ASAP
Some steps to construct an angle MNT congruent to angle PQR are listed below. Step 3 is not listed: Step 1: Use a compass to draw an arc from point Q which intersects the side PQ at point A and the side QR at point B. Step 2: Draw a segment NT and use the same width of the compass to draw an arc from point N which intersects the segment NT at a point X. Step 3: Step 4: Join points N and Y using a straightedge. Which statement describes step 3 correctly?
A.  Maintaining the same width of the compass as BQ, draw an arc from point X such that it intersects the arc drawn from N in a point Y. 
B. Use the same width of the compass as the width of NX, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
C.  Use the same width of the compass as AQ, and draw an arc from point X which intersects the arc drawn from N in a point Y. 
D. Maintaining the same width of the compass as AB, draw an arc from point X such that it
Answers
Jill Hartman earns $750 per week plus 3% of sales in excess of $6,500. If Jill sells $25,000 in the first week, her earnings are:
Answers
The earnings of Jill Hartman for the week is A = $1,305
Given data ,
To calculate Jill's earnings for the first week, we need to determine the amount of sales in excess of $6,500 and then calculate her additional earnings based on that amount.
Sales in excess of $6,500 = Total sales - $6,500 = $25,000 - $6,500 = $18,500
Now we can calculate Jill's additional earnings based on the sales in excess of $6,500:
Additional earnings = 3% of sales in excess of $6,500 = 0.03 * $18,500
Additional earnings = $555
Finally, we can calculate Jill's total earnings for the first week by adding her base salary to her additional earnings:
Total earnings = Base salary + Additional earnings = $750 + $555
Total earnings = $1,305
Hence , Jill's earnings for the first week, with sales of $25,000, are $1,305
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Question 3 e and f are sets of real numbers defined as follows.
Answers
Which equations represent hyperbolas?
A) 2x2 + 16x + 2y2 + 14y − 9 = 0
B) 2x2 + 4x − 5y2 − 10y + 57 = 0
C) -x2 + 5x − 7y2 + 2y − 81 = 0 d) x − 2y2 + 4y + 15 = 0
E ) -x2 + 12x + 3y2 + 7y + 11 = 0
Answers
Answer:
D
Step-by-step explanation: