Quadrilateral ABCD is inscribed in a circle.
What is the measure of angle A?
Enter your answer in the box.
m∠A=
°
Answers
x + 2 + 3x + 6 = 180
4x + 8 = 180
4x = 172
x = 43
Now solve for A
3(43) + 6 = A
129 + 6 = A
135 = A
The measure of angle A is 135 degrees.
Hope this helps =)
The answer is m∠A= 135°
Related Questions
A theater charges $25 for adults and $15 for children. When the price of a child's ticket increases to $18 next year,the cost for a dance club to attend the theater will increase from $450 to $480. Write and solve a system of equations to find how many adults are in the dance club.
Answers
tickets for adults - 25
tickets for kids - 15
initial cost - 450
increase in tickets for kids to - 18
cost after increase - 480
let x be number of adults and y be number of kids
25x + 15y = 450
25x + 18y = 480
subtraction:
25x + 15y = 450
-25x - 18y = -480
0 - 3y = - 30
y = -30/-3
y = 10
There are 10 kids.
25x + 15y = 450
25x + 15(10) = 450
25x + 150 = 450
25x = 450 - 150
25x = 300
x = 300/25
x = 12
There are 12 adults.
All in all there are 12 adults and 10 kids.
to check:
25x + 15y = 450
25(12) + 15(10) = 450
300 + 150 = 450
450 = 450
25x + 18y = 480
25(12) + 18(10) = 480
300 + 180 = 480
480 = 480
How do you make 3ln2+2ln4 a single logarithm?
Answers
2ln 4 = ln 4² = ln 16
Sum means it is a product:
ln (8 × 16) = ln 128
Or ln (2³×4²)
3ln2 + 2ln4 = ln 2^3 + ln 4^2 = ln 8 + ln 16 = ln 128
Tell whether x and y show direct variation 5y=x
Answers
Direct variation is the relationship between variables such that increase in one variable causes an increase in the other variable and vicevarsa.
In this case, y is directly proportional to x where 5 is a constant
Jorge and Mary are both filling cups with fruit punch in preparation for a party. After 3 minutes, Jorge had 53 cups left to be filled, and after 5 minutes, he had 25 cups left to be filled. Mary’s progress is shown in the table of values below. Assuming that both Jorge and Mary are filling cups at a constant rate, which statement is correct?
Mary’s Cup-Filling Progress
Time (minutes)
0.5
1
1.5
2
2.5
Cups Remaining
99
81
63
45
27
Jorge is filling 14 cups per minute, which is faster than Mary.
Jorge is filling 28 cups per minute, which is faster than Mary.
Mary is filling 18 cups per minute, which is faster than Jorge.
Mary is filling 36 cups per minute, which is faster than Jorge.
Answers
Answer:
Mary is filling 36 cups per minute, which is faster than Jorge.
Step-by-step explanation:
Lets get Jorge's time :
As the rate is constant, we can find the slope to know the number of cups he is filling per minute.
Slope is found using: [tex]\frac{y2-y1}{x2-x1}[/tex]
= [tex]\frac{53-25}{5-3}[/tex]
= [tex]\frac{28}{2}=14[/tex]
From the table lets get Mary's time:
[tex]\frac{99-81}{1-0.5}[/tex]
= [tex]\frac{18}{0.5}=36[/tex]
Another data: [tex]\frac{63-45}{2-1.5}[/tex]
= [tex]\frac{18}{0.5}=36[/tex]
Therefore, we can see that Mary is filling 36 cups in a minute and Jorge is filling 14 cups.
Hence, the correct answer is : Mary is filling 36 cups per minute, which is faster than Jorge.
Answer:
Mary is filling 36 cups per minute, which is faster than Jorge.
Step-by-step explanation:
Given that f(x) = x2 − 3x + 3 and g(x) = the quantity of x minus one, over four , solve for f(g(x)) when x = 5. (1 point)
Answers
f (x) = x ^ 2 - 3x + 3
g (x) = ((x-1) / (4))
We now make the composition of functions:
f (g (x)) = ((x-1) / (4)) ^ 2 - 3 (((x-1) / (4))) + 3
We now evaluate for x = 5:
f (g (5)) = ((5-1) / (4)) ^ 2 - 3 (((5-1) / (4))) + 3
f (g (5)) = 1
Answer:
f (g (5)) = 1
Answer:
The answer is 1
Step-by-step explanation:
△BQH∼△SFN
What is FN ?
Answers
Or 16.81 or 16.8 simplified
Answer:
23.4 in
Step-by-step explanation:
The only side of SFN we know the measurement of is FS, which is 18.2. We see from the similarity statement that FS corresponds to QB, which is 14. This gives us the ratio
14/18.2.
From the similarity statement, we see that FN corresponds to QH; this gives us the ratio
18/x
Together this gives us the proportion
14/18.2 = 18/x
Cross multiplying gives us
14(x) = 18.2(18)
14x = 327.6
Divide each side by 14:
14x/14 = 327.6/14
x = 23.4
What is the exact value of the trigonometric expression in simplest form? 2 cos(3π/4)−4 sin(7π/6)
Answers
What is the exact value of the trigonometric expression in simplest form? 2 cos(3π/4)−4 sin(7π/6)
[tex] 2 cos(\frac{3\pi}{4})-4sin(\frac{7\pi}{6}) [/tex]
Let us find the value of cos([tex] \frac{3\pi}{4} [/tex]) and [tex] sin(\frac{7\pi}{6} ) [/tex]
[tex] cos(\frac{3\pi}{4} )=cos(\pi -\frac{\pi}{4} ) [/tex]
The angle [tex] \pi -\frac{\pi}{4} [/tex] lies in second quadrant.
So, [tex] cos(\frac{3\pi}{4} )=-cos(\frac{\pi}{4} ) =-\frac{1}{\sqrt{2}} [/tex]
[tex] So, cos(\frac{3\pi}{4} )=-\frac{1}{\sqrt{2}} [/tex]
Now, Let us find the value of [tex] sin(\frac{7\pi}{6} ) [/tex]
[tex] sin(\frac{7\pi}{6} ) =sin(\pi +\frac{\pi}{6} )=-sin(\frac{\pi}{6} ) =\frac{-1}{2} [/tex]
[tex] sin(\frac{7\pi}{6} ) =\frac{-1}{2} [/tex]
[tex] 2 cos(\frac{3\pi}{4})-4sin(\frac{7\pi}{6}) [/tex]=2*[tex] \frac{-1}{\sqrt{2}} [/tex]-4*[tex] \frac{-1}{2} [/tex]
=[tex] \frac{-2}{\sqrt{2}} +\frac{4}{2} [/tex]
=[tex] \frac{-2\sqrt{2}}{2} +\frac{4}{2} [/tex]
=[tex] \frac{-1\sqrt{2}}{1} +\frac{2}{1} [/tex]
=[tex] -\sqrt{2} +2 [/tex]
=[tex] 2-\sqrt{2} [/tex]
[tex] 2 cos(\frac{3\pi}{4})-4sin(\frac{7\pi}{6})=2-\sqrt{2} [/tex]
Find the retail price of a backpack that has a wholesale price of $25 and is marked up 40%. Multiply $25 and 40% in decimal form to find the markup amount. 25(0.40) = $10 Add the wholesale price to the markup amount. What is the selling price? $10 $15 $35 $65
Answers
Answer:
35 35 35 35
Step-by-step explanation:
it 35
OUCH MY BRAIN IS HURTING AFTER TRYING TO SOLVE THIS QUESTION
Answers
The 3rd selection is appropriate.
the length of a rectangular prism is 4 feet, and the width is 3 feet. The volume of the prism is 9 cubic feet. In inches, what is the height of the prism?
A) 6 inches
B) 8 inches
C) 9 inches
D) 10 inches
Answers
9 = 4(3)(h)
9 = 12h
Now we cancel the 12 by dividing:
9/12 = 12h/12
3/4 = h
However, this is in feet. We must convert to inches:
3/4 (12) = 3/4(12/1) = 36/4 = 9 inches.
Answer:
C 9 inches
Step-by-step explanation:
A triangle has an area of 30 cm². The base and height are scaled by a factor of 4.
What is the area of the resulting triangle?
Enter your answer in the box.
Answers
b--------------> the base of triangle
h--------------> the height of triangle
Area A1=b*h/2--------------- > 30 cm²
if the base and height are scaled by a factor of 4
we have that
b=4b
h=4h
A2=(4b)*(4h)/2--------> 16(b*h/2)=16A1
A2=16A1---------> 16*30=480 cm²
the area of resulting triangle is 480 cm² (16 times the original area)
Answer:
480cm². Verified by correct test results.
8j -k+148j−k+148, j, minus, k, plus, 14 when j=0.25j=0.25j, equals, 0, point, 25 and k=1k=1
Answers
.. 8j -k +14
for (j, k) = (0.25, 1).
Put the numbers where the letters are. If you cannot do the math, let your calculator do it.
.. 8*0.25 -1 +14
.. = 2 -1 +14
.. = 1 +14
.. = 15
The value of the expression is 15 at (j, k) = (0.25, 1).
Answer:
15. It was right for me, not sure for anyone else
Step-by-step explanation:
PLEASE HELP!!
is it right??
Answers
which pair of ratios form a true proportion
a) 1/2=6/10
b) 6/8=5/20
c) 3/5=6/10
d) 3/9=7/80
Answers
I'd say your answer would most likely be Option C
Because you can multiply the [tex] \frac{3}{5} [/tex] by [tex]2[/tex] (numerator and denominator by [tex]2[/tex] ) to get the fraction [tex] \frac{6}{10} [/tex]
[tex] \frac{3(2)}{5(2)} = 2(3) = 6 = 5(2)= 10 = \frac{6}{10} [/tex]
Good luck on your assignment and enjoy your day!
~[tex]LoveYourselfFirst:)[/tex]
which statement best describes the function below?
f(x)=2x^2-3x+1
A.It is a one-to-one function.
B.It fails the vertical line function.
C.It is a many-to-one function.
D.It is not a function.
Answers
f(x)=2x^2-3x+1
the graph of the function is attached with the answer
As we can see that equation is quadratic and its graph is a parabola facing upward.
As we can see it passes the Vertical line test
As it passes the Vertical line test , So it is a function
And two values of x has one value of y
So it is a many to one function.
Express 8.12 as a mixed number.
Answers
Let's keep our goal in mind. A mixed number is a whole number and a fraction together. SInce we already have our whole number, 8, we need to make .12 a fraction.
If we look at .12, we see that that 12 is in the hundredths place. When you go to whole numbers, you have tens, hundreds, and so on. When you go to fractions, it goes tenths, hundredths and so on.
That means that since the 12 is in the hundredths, it's 12 hundredths, or 12/100.
That means our mixed number is 8 12/100
Hope this helps
If BE is parallel to CD, the. The value of x is:
A. 10
B. 6
C. 9
Answers
x/15 = 12/(12+8) = 3/5
x = 15*3/5
x = 9
When a standard six sided die is rolled, what is the probability of getting a 9?
Answers
1.66666666667 rounded to the tenth
Answers
The tenth place is where the first 6 is, so:
1.666666666667=
1.7 because 6>5
I hope this helps!
~kaikers
So, the number after the tenths place is a 6 which is greater than 5, so you would round up.
So, your answer would be 1.7
Which stem-and-leaf plot represents the data 80, 81, 91, 92, 66, 55, 54, 30, 55, 79, 78?
Answers
30,54,55,55,66,78,79,80,81,91,92
Here the minimum value is 30 and maximum is 92.
Total counts=11
Now plot the data.
Stem | Leaf
3 | 0
5 | 4 5 5
6 | 6
7 | 8 9
8 | 0 1
9 | 1 2
This is the required stem leaf plot.
Answer:The answer is below Hope this help and tthanjs for answer please like and vote excellent thanks and have a good day.
Step-by-step explanation
3 0
4
5 455
6 6
7 89
8 01 9 12This is the first part of a three-part problem. express $18\sqrt 8$ in the form $a\sqrt b$, where $a$ and $b$ are integers and $b$ is as small as possible.
Answers
Answer:
[tex]18\sqrt{8}=36\sqrt{2}[/tex]
Where a=36 and b=2 with b is small.
Step-by-step explanation:
Given problem [tex]18\sqrt{8}[/tex]
We have to write the given problem in form of [tex]a\sqrt{b}[/tex], where a and b are integers and b is as small as possible.
Consider the given problem [tex]18\sqrt{8}[/tex]
8 can be written in factored form as 2 × 2 × 2
Substitute, in given problem, we have
[tex]18\sqrt{8}=18\sqrt{2 \times 2\times 2}[/tex]
This can be written as,
[tex]18\sqrt{2 \times 2\times 2}=18(\sqrt{4}\sqrt{2})[/tex]
We know [tex]\sqrt{4}=2[/tex] , thus,
[tex]18(\sqrt{4}\sqrt{2})=18\cdot 2\sqrt{2}=36\sqrt{2}[/tex]
Thus,[tex]18\sqrt{8}=36\sqrt{2}[/tex]
Where a=36 and b=2 with b is small.
Which set does not contain –3?
Answers
Since a set of whole numbers wouldn't be able to include any negative numbers, your answer would be your fourth option.
Hope this helped you out! :-)
the set of all whole numbers
CD←→ is tangent to circle A at point B.
What is the measure of ∠ABD?
45º
60º
90º
180º
Answers
The measure [tex]\angle ABD[/tex] is C. [tex]90^{\circ}[/tex]
Given,CD is tangent to the circle A at point B.
We have to find the measure of [tex]\angle[/tex][tex]ABD[/tex].
Tangent:We know that,
Tangent to a circle is the line that touches the circle at only one point. There can be only one tangent on a point to circle. The Tangent makes an angle of [tex]90^{\circ}[/tex] with the radius of the circle at the point of contact.Hence [tex]\angle ABD[/tex] is [tex]90^{\circ}[/tex].The correct option is C. [tex]90^{\circ}[/tex]
For more details about tangent, follow the link:
https://brainly.com/question/1503247
A baker used the equation y = kx to find how many cupcakes he needs to fill 22 identical boxes. He found that he would need 176 cupcakes. How many cupcakes fit into each box?
Answers
A cylindrical container holding sugar has a height of 15 inches and a diameter of 4 inches. Which of the following is the closest to the volume of the sugar container?
A.
707 cubic inches
B.
94 cubic inches
C.
754 cubic inches
D.
188 cubic inches
Answers
say pi=3.14
h=15
d/2=r=4/2=2
so
v=(15)(3.14)(2)^2
v=(15)(3.14)(4)
v=(60)(3.14)
v=188.4
so answer is D
Using the formula V = πr²h, the volume of the cylinder is calculated as 188.4954 cubic inches, which can be rounded to 188 cubic inches, corresponding to answer choice D.
To calculate the volume of the cylindrical container holding sugar, we can use the formula for the volume of a cylinder, which is V = πr²h. Here, π is a constant (approximately 3.14159), r is the radius of the cylinder, and h is the height of the cylinder.
The diameter of the container is given as 4 inches, so the radius (r) is half of the diameter, which is 2 inches. The height (h) is given as 15 inches. Plugging these values into the volume formula, we get:
V = π(2 inches)²(15 inches)
= π(4 square inches)(15 inches)
= 60π cubic inches
Using 3.14159 as the value for π, the volume calculates to:
V = 60 * 3.14159 cubic inches = 188.4954 cubic inches
So, the closest estimate to the volume of the sugar container would be 188 cubic inches, which corresponds to answer choice D.
You want to draw an enlargement of a design that is printed on a card that is 4 in. by 5 in. You will be drawing this design on a piece of paper that is 8one half in. by 11 in. What are the dimensions of the largest complete enlargement you can make?
Answers
Answer:
The dimensions are
[tex]8\frac{1}{2}\ in[/tex]
[tex]10\frac{5}{8}\ in[/tex]
Step-by-step explanation:
we know that
If two figures are similar, then the scale factor is the ratio of its corresponding sides
step 1
Divide [tex]8\frac{1}{2}[/tex] by [tex]4[/tex]
[tex]8\frac{1}{2}=\frac{8*2+1}{2}=\frac{17}{2}\ in[/tex]
so
[tex]\frac{17}{2}/4=2.125[/tex]
step 2
Divide [tex]11[/tex] by [tex]5[/tex]
so
[tex]\frac{11}{5}=2.2[/tex]
step 3
Find the largest complete enlargement
The scale factor is the smaller of the two previous values
so
The scale factor is [tex]2.125[/tex]
The dimensions are
[tex]4*2.125=8.5=8\frac{1}{2}\ in[/tex]
[tex]5*2.125=10.625=10\frac{5}{8}\ in[/tex]
Answer:
8 1/2 in. by 10 5/8 in.
Step-by-step explanation:
What is the future value of $1,600 in 17 years assuming an interest rate of 10 percent compounded semiannually?
Answers
F--------------------> future value
P--------------------> present value
r --------------------> interest rate per year
m ------------------ > number of compounding periods per year
t --------------------> time in years.
we know that
P=$1,600
t=17 years
m=2
r=10%------> 0.10
F=P(1+i)^n
where
i=r/m ---------> 0.10/2=0.05
and
n=m*t------------> 2*17=34
F=1600*(1+0.05)^34=8405.36
the answer is $8405.36
6 cards are drawn from a standard deck without replacement how many different 6 card hands are possible if the drawing is done without replacement
Answers
14658134400 / 720
20358520
An initial deposit of $5325 was made into an account that compounds interest semi-annually. No other deposits were made. At the end of 13 years, the balance in the account had doubled. Find the interest rate on this account.
Answers
Formula: Where: r = n[(A/P)^1/nt - 1]
Noah was asked to find the median of the following numbers.
115, 109, 117, 136, 127, 131
Noah’s work is shown below.
109, 115, 117, 127, 131, 136
mc006-1.jpg
What error, if any, did Noah make?
A)He forgot to put the numbers in order first.
B)He crossed off the high/low number pairs incorrectly.
C)He left out a number when putting the numbers in order.
D)He did not make any error.
Answers
1. he makes the numbers in order
2. he didn't cross off the high/low number pairs incorrectly
3. he didn't leave out a number