Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle C?
Please explain how you got the answer.
Answers
1. using the property of the inscribed quadrilateral it is possible to make up the system of linear equations:
2.
[tex] \left \{ {{A+C=180} \atop {B+D=180}} \right. \ =\ \textgreater \ \ \left \{ {{2x+3+C=180} \atop {3x+9+2x-4=180}} \right. \ =\ \textgreater \ \ \left \{ {{C=107} \atop {x=35}} \right. [/tex]
answer: 107°
Related Questions
he circle shown below has AB and BC as its tangents: AB and BC are two tangents to a circle which intersect outside the circle at a point B. If the measure of arc AC is 160°, what is the measure of angle ABC? (1 point) 80° 40° 60° 20°
Answers
Angle A & C are each 90 degrees, and we're given that AOC (arc AC) is 160 degrees.
Therefore
angle ABC=360-160-90-90=20 degrees
Answer:
m∠ABC=20°
Step-by-step explanation:
Consider quadrilateral ABCO. The sum of the measures of all interior angles in quadrilateral ABCO is equal to 360°.
Lines BA and BC are tangent to the circle, then the radii OC and OA are perpendicular to the tangent lines BC and BA. Therefore,
m∠BCO=90°;m∠BAO=90°.The measure of the angle AOC is 160° (because the measure of arc AC is 160°). So,
m∠ABC+m∠BCO+m∠BAO+m∠AOC=360°,
m∠ABC=360°-(m∠BCO+m∠BAO+m∠AOC)=360°-(90°+90°+160°)=20°.
I NEED HELP PLEASE??!!!???
Answers
You can use different instruments for measuring capacity. You'll need to choose the most suitable instrument for the task.
You Need to Consider:
What you are measuring: Is it a large or small amount of liquid.
Whether the scale on the instrument goes up high enough, to do this you need to estimate the measurement. For example to measure 1.5 liters you can't use a jug that only measures up to 1 liter.
What measuring instruments you have available
Whether the scale uses the correct units. Older measuring instruments might have this scale in imperial units, fluid ounces (FL oz.).
Whether the scale will give you an accurate enough reading. Are the divisions small enough?
Here are some examples:
1. You can use a medicine cup to measure small amounts of liquid. It has a Capacity of 30 ml.
2. You can use a Jug in the kitchen. It has a Capacity of 1 liter. The jug's scale in metric units (liters and milliters), and imperial units (pints and fluid ounces).
3. You can use the scale on a kettle to measure amount of water you want to boil. It has a Capacity of 1.7 liters.
4. You can use a bucket to measure large amounts of liquid. This one has a capacity of 11 liters.
Hope this Helps!!!!
Six cakes cost 3.60. How much do seven cakes cost
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I say this because if you do 3.6 divided by 6 to find the amount that it costs per one cake... which is $0.60 then do .6x7 and you'll get 4.20
One half of some number
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When you divide a number in half, you usually divide it by 2.
number=n
n/2 <== expression
I hope this helps!
~kaikers
find the value of the combination
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Which ordered pair is identified by the letter "G" on this coordinate grid?
Answers
When we say coordinate pair, we usually express our pair in the form of:
(x, y)
This means the point on the x axis is first, and the point on the y is second in the parenthetical format of coordinates. We know that the x coordinate is the horizontal one, while the y is vertical.
If we start with the x axis, we see that our point, G, is just below the number 2. That means our x coordinate is 2. For the y coordinate, we see that the point is directly lined up with the -3, therefore our y coordinate is -3.
Therefore, our coordinates are (2, -3).
Hope this helps!
Evaluate the expression. 9! − 5!
Answers
Evaluate means just solve it.
9! = 9x8x7x6x5x4x3x2x1 = 362880
5! = 5x4x3x2x1 = 120
362880 - 120 = 362760
There is your answer
This is the product of a number and below it until 1.
In mathematical language
a! = a * (a - 1)!
So,
5! = 5 * 4 * 3 * 2 * 1 = 120
9! = 9 * 8 * 7 * 6 * 5 *4 *3 * 2 *1 = 326 880
Therefore 9! - 5! = 326 880 - 120 = 326 760
From a group of 10 candidates, a committee of 4 people is selected. In how many different ways can the committee be selected?
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A circle has a diameter of 9 inches. What is the approximate ratio of the circumference of the circle to its diameter?
A) 22/7
B)7/22
C)1/2
D)2/1
Answers
Selection A.
By what percent will a fraction increase if its numerator is decreased by 30% and its denominator is decreased by 50%?
Answers
If the numerator is decreased by 30% and its denominator is decreased by 50%
the new fraction becomes (0.7x/0.5y)=1.4(x/y)
The increase=(1.4-1)*100=0.4*100=40%
40 percent of a fraction increase if its numerator is decreased by 30% and its denominator is decreased by 50%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, numerator is decreased by 30% and its denominator is decreased by 50%.
Let x/y be the original fraction.
Then, the new fraction is (x-30% of x)/(y-50% of y)
= 0.7x/0.5y
Now, difference = 0.7x/0.5y-x/y
= 0.7x/0.5y - 0.5x/0.5y
= 0.2x/0.5y
Percentage increase = 0.2x/0.5y ÷ x/y
= 0.2/0.5 ×100
= 40%
Therefore, 40 percent of a fraction increase if its numerator is decreased by 30% and its denominator is decreased by 50%.
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The salesman has observed that many students are looking for cars that cost less
than $5,000. If he decides to also deal in cars that cost less than $5,000 and projects selling 200 of them over the next 10 years, how will the distribution be affected?
Answers
Introducing vehicles costing less than $5,000 will alter the supply curve by adding a new segment for lower-priced cars, likely leading to an increase in the quantity supplied for this market segment. This reflects market segmentation and aligns with the demand for cheaper vehicles.
The introduction of cars less than $5,000 into the salesman's inventory may affect the distribution of car sales. When discussing economic models, a supply curve (such as curve So) indicates the quantity of goods that sellers are willing to supply at various prices. According to the scenario provided, Point J on the supply curve So shows that if the price is $20,000, the quantity supplied will be 18 million cars. However, if the price drops to below $5,000, this will most likely introduce a new segment on the supply curve, as the current supply data relates to higher-priced vehicles.
Introducing lower-cost cars will attract a different consumer base, often overlooked in premium markets. This could lead to an increase in the quantity supplied of cheaper cars, as the demand for this segment is likely to be different from premium cars. If the projection of selling 200 cars in 10 years holds true, it will introduce a new point on the supply curve, which will represent cars at a lower price point and possibly a higher quantity compared to the original supply curve for higher-priced cars.
It cannot be determined from the given information whether the overall effect will pull market equilibrium towards the lower end, but it introduces the concept of market segmentation where different products and prices can co-exist, catering to different consumer needs and preferences.
Identify the percent of change as increase or decrease then find the percent of change round to the nearest tenth of a percent (if necessary)
1. 6 yards to 36 yards
2. 6 hits to 3 hits
3. 120 meals to 52 meals
4. 35 words to 115 words
Answers
Here is the first answer:
The answer is "16.6 or 17%".
Reason:
636 x 100% = 16.6666666667%
Here is your second answer:
The answer is "50%".
Reason:
36 x 100% = 50%
Here is your third answer:
The answer is "43.3 or 43%".
Reason:
52120 x 100% = 43.3333333333%
Here is your fourth answer:
The answer is "328.5 or 329%".
Reason:
11535 x 100% = 328.5714285714%
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit
The area of a triangular block is 25 square inches. If the base of the triangle is twice the height, how long are the base and the height of the triangle?
Answers
So here we have
25 = 1/2 * b * h
b = 2h so
25 = 1/2 * 2h * h
25 = h^2
h = 5
Answer : height = 5 inches and the base = 10 inches.
Dylan made his credit card payment at noon on the payment due date. According to Consumer Protection Law, how much time does the bank have to credit the payment to his account?
Answers
Answer:
Step-by-step explanation:
The transaction time is 24 hours or one business day.
Dylan made his credit card payment at noon on the payment due date. According to Consumer Protection Law, how much time does the bank have to credit the payment to his account? So, it is the same day/date or within 24 hours.
Final answer:
Banks are typically required to credit card payments to the customer's account by the end of the business day on which the payment was made, according to Consumer Protection Law. This ensures consumers are not unfairly charged late fees if payments are made on the due date.
Explanation:
The question concerns the timeframe within which a bank is required to credit a payment to a customer's account, according to Consumer Protection Law. If Dylan made his credit card payment at noon on the payment due date, the bank is typically required to credit the payment to his account by the end of that business day.
This requirement ensures that consumers are not unfairly penalized with late fees if they make their payment on the due date. It's essential for consumers to understand the specific policies of their credit card issuer and the relevant consumer protection laws to avoid any unnecessary charges. Timely payments are crucial for maintaining good credit health and avoiding additional fees.
round the following number to the nearest hundredth which one of the numbers is in the hundreds place and does it go up or down I don't know which number is the hundredths place
Answers
Here is a quick order of place value:
Thousands
Hundreds
Tens
Units
(Decimal point)
Tenths
Hundredths
Thosandths
What's the radius of a circle with an area of 64 square feet?
Answers
Answer:
4.51
Step-by-step explanation:
Genna can build a cabinet in 4 hours. Claude can build a cabinet in only 3 hours. Which of the following can be used to determine the amount of time it would take for Genna and Claude to build a cabinet together? (2 point
Answers
it is really
answer: 7 hours
Find the absolute maximum and minimum values of f on the set
d. f(x, y) = 9 + xy − x − 2y, d is the closed triangular region with vertices (1, 0), (5, 0), and (1, 4)
Answers
[tex]\implies\begin{cases}f_x=y-1=0\implies y=1\\f_y=x-2=0\implies x=2\end{cases}[/tex]
which tells you that the only critical point of [tex]f(x,y)[/tex] occurs at (2, 1), which does lie within the region [tex]D[/tex]. At this point, we get [tex]f(2,1)=7[/tex].
Next we check along the boundaries of [tex]D[/tex]. They are the lines [tex]x=1[/tex] with [tex]0\le y\le4[/tex], [tex]y=0[/tex] with [tex]1\le x\le5[/tex], and [tex]y=5-x[/tex] with [tex]1\le x\le5[/tex].
If [tex]x=1[/tex], then [tex]f(1,y)=8-y[/tex], which is monotonically decreasing and must therefore attain its maximum at [tex]y=0[/tex] and minimum at [tex]y=4[/tex]. We get [tex]f(1,0)=8[/tex] and [tex]f(1,4)=4[/tex].
If [tex]y=0[/tex], then [tex]f(x,0)=9-x[/tex], which is also monotonically decreasing and attains its maximum at [tex]x=1[/tex] and minimum at [tex]x=5[/tex]. We get [tex]f(1,0)=8[/tex] and [tex]f(5,0)=4[/tex].
If [tex]y=5-x[/tex], then [tex]f(x,5-x)=g(x)=-x^2+6x-1[/tex]. We have [tex]g'(x)=-2x+6=0\implies x=3[/tex], which suggests an extremum occurs at (3, 2). We get [tex]f(3,2)=8[/tex].
So [tex]f(x,y)[/tex] has a minimum value of 4 at (1, 4) and (5, 0), and a maximum value of 8 at (1, 0) and (3, 2).
For the function f(x, y) = 9 + xy - x - 2y in the triangular region, the maximum value is 9 at point (1,0), and the minimum value is 1 at point (1,4). The critical point does not lie within the triangle region.
Explanation:To find the absolute maximum and minimum values of the multivariate function f(x, y) = 9 + xy − x − 2y on the triangular region with vertices (1, 0), (5, 0), and (1, 4), we first locate the critical points within the region by solving the system of first order partial derivative equations.
∂f/∂x = y - 1 = 0, which means y = 1∂f/∂y = x - 2 = 0, which means x = 2
Notice that (2,1) is not in the triangle region, so there's no critical point in the interior of the triangle. The maximum and minimum must occur somewhere on the boundary, i.e., the lines connecting (1, 0), (5, 0), and (1, 4).
After using these points in the function, we get the following:
F(1,0) = 9F(5,0) = 4F(1,4) = 1
The maximum value is 9 when (x,y) are (1,0) and the minimum value is 1 when (x,y) are (1,4).
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4 minus the product of one and a number x
Answers
find the surface area
Answers
2(8)+2(1/2 14)+8
16+ 2(7)+8
16+14+8
38 sq. ft.
What integer is equivalent to 9 3/2
Answers
[tex]\bf \stackrel{mixed}{9\frac{3}{2}}\implies \cfrac{9\cdot 2+3}{2}\implies \stackrel{improper}{\cfrac{21}{2}}\implies 10.5 \ne \mathbb{Z}[/tex]
an integer is a "whole" number, with no decimals.
Hattie jumps rope 57 times in 3 minutes. If Hattie jumps at a constant speed, how many times does she jump per minute?
Answers
57/3 = 19 jumps per minute
Answer: Hattie Can jump 57 times in 3 minutes so therefore she jumps 19 times per minute. Because if do 57/3 it would give you 19.
Hope this helped!
On a softball field, home plate is 43 feet from the pitcher’s mound. A ball is hit at an angle of 27° east of the pitcher’s mound. The ball travels 162 feet before it is caught by an outfielder. Law of cosines: a2 = b2 + c2 – 2bccos(A) Rounded to the nearest foot, the outfielder must throw the ball feet to return it to the pitcher.
Answers
Answer:
The outfielder must throw the ball 125 feet to return it to the pitcher.
Step-by-step explanation:
It is given that On a softball field, home plate is 43 feet from the pitcher’s mound. A ball is hit at an angle of 27° east of the pitcher’s mound. The ball travels 162 feet before it is caught by an outfielder.
Now, applying the law of cosines,
[tex]a^2=b^2+c^2-2bccosA[/tex],
Putting b=43, c=162 and A=27°, we have
[tex]a^2=(43)^2+(162)^2-2(43)(162)cos27^{\circ}[/tex]
[tex]a^2=1849+26244-12413.4[/tex]
[tex]a^2=15679.6[/tex]
[tex]a=125.21[/tex]
[tex]a[/tex]≈[tex]125 feet[/tex]
Thus, the outfielder must throw the ball 125 feet to return it to the pitcher.
if a/4 = b/7, what is the value of a-b/b ?
Answers
1. to simplify given expression (a-b)/b:
[tex] \frac{a-b}{b}= \frac{a}{b}-1;[/tex]
2. to rewrite given expression a/4=b/7:
[tex] \frac{a}{b} = \frac{4}{7};[/tex]
3. to substitute a/b into the simplified expression:
[tex] \frac{a}{b} -1= \frac{4}{7} -1=- \frac{3}{7};[/tex]
answer: -3/7
George does not like the fact that his neighborhood makes it mandatory to pay a yearly fee to use the pool. He conducts a survey of all the neighborhood families to help support his case that the yearly fee should be voluntary. The survey asks questions about pool usage and financial statistics of the families. Is this a valid survey? Why or why not?
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The distribution of the baggage weights for passengers using a particular airline has a mean of 19.4 lbs and a standard deviation of 5.3 lbs. what is the probability that for (a random sample of) 100 passengers … the total luggage weight is less than 2,100 lbs?
Answers
Answer:
0.9987
Step-by-step explanation:
Given that X, The distribution of the baggage weights for passengers using a particular airline has a mean of 19.4 lbs and a standard deviation of 5.3 lbs.
For a sample of size 100, we have
n=100
Hence std deviation of sample = [tex]\frac{SD}{\sqrt{n} } =0.53[/tex]
To find the probability that X>2100/100 lbs
=P(X<21[tex]\frac{21-19.4}{0.53} =3.019[/tex]) =P(Z<3.019)
=0.5+0.4987
0.9987
if an object is shot with an initial velocity , vo, in feet per second(ft/s) the velocity, v, in ft/s is given by the formula v=v0 -32t, where t is time in seconds. find the initial velocity of an object if the velocity after 3 seconds is 31 ft/s
Answers
To find the initial velocity, we rearrange the given velocity equation to solve for the initial velocity, then substitute the given values. The initial velocity is found to be 127 ft/s.
Explanation:The given formula for velocity is v = v0 - 32t, where 'v' is the velocity at a certain time 't', and 'v0' is the initial velocity. In this case, we're given that v is 31 ft/s after 3 seconds. To find the initial velocity 'v0', you need to rearrange the equation to solve for 'v0'. This gives:
v0 = v + 32t
Substituting the given values into the rearranged equation gives:
v0 = 31ft/s + 32(3s)
This simplifies to:
v0 = 31ft/s + 96ft/s = 127ft/s
So the initial velocity of the object is 127 ft/s.
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One number is 4 less than twice a second number. find a pair of such numbers so that their product is as small as possible.
Answers
We have then:
x: unknown number.
First number: 2x - 4
Second number: x
The product of the numbers is:
[tex] y = x (2x-4) [/tex]
Rewriting:
[tex] y = 2x ^ 2-4x [/tex]
Deriving the equation we have:
[tex] y '= 4x-4 [/tex]
We equal zero and clear x:
[tex] 4x - 4 = 0 x = 4/4 x = 1[/tex]
Then, the first number is:
[tex] 2x - 4 = 2 (1) - 4 = 2 - 4 = - 2 [/tex]
Answer:
First number: -2
Second number: 1
Answer:
Numbers are -2 and 1.
Step-by-step explanation:
Let x be the second number,
⇒ First number = 4 less than twice a second number
= 2 × Second number - 4
= 2x - 4
Thus, the product of first and second number is,
[tex]f(x) = x(2x-4)[/tex]
[tex]\implies f(x) = 2x^2 - 4x[/tex]
Differentiating with respect to x,
[tex]f'(x) = 4x -4[/tex]
Again differentiating with respect to x,
[tex]f''(x) = 4[/tex]
Now, for maximum or minimum,
[tex]f'(x)=0[/tex]
[tex]\implies 4x - 4 = 0\implies 4x = 4\implies x = 1[/tex]
Since, for x = 1, f''(x) = Positive,
Therefore, the function f(x) is minimum for x = 1,
⇒ The product is smallest for x = 1,
Hence, the second number = x = 1,
And, first number = 2x - 4 = 2 - 4 = -2
Suppose P(E) = 0.3. Find P(not E). Suppose P(not E) = 65%. Find P(E).
What is the relationship between E and not E?
Answers
1. rule: P(E)+P(not E)=1.
2. according to the rule above
P(not E)=1-P(E)=1-0.3=0.7;
P(E)=1-P(not E)=(100-65)%=35%.
Of the computer games Lynne owns, 5-12 are sport games and 3-12 are educational. What fraction of the games are either sport games or educational games?
Answers
5/12 + 3/12= 8/12 or 2/3 are one or the other.
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
We have that:
Lynne owns 12 games.
Of those
5 are sports games
3 are educational
What fraction of the games are either sport games or educational games?
[tex]f = \frac{5}{12} + \frac{3}{12} = \frac{8}{12} = \frac{2}{3}[/tex]