The four angles of a quadrilateral are 30°, 60°, 150°, and 120° if the four vertices of an inscribed quadrilateral divide a circle in the ratio 1:2:5:4.
What is quadrilateral?It is defined as the four-sided polygon in geometry having four edges and four corners.
We have the four vertices of an inscribed quadrilateral divide a circle in the ratio:
1:2:5:4
Let the sides of the quadrilateral be x, 2x, 5x, 4x.
We know the sum of all angles of quadrilateral = 360°
x+2x+5x+4x=360
12x = 360
First angle, x = 30°
Seconds angle, 2x = 2×30 ⇒ 60°
Third angle, 5x = 5×30 ⇒ 150°
Fourth angle, 4x = 4×30 ⇒ 120°
Thus, the four angles of a quadrilateral are 30°, 60°, 150°, and 120°
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The four angles of a quadrilateral are 30°, 60°, 150°, and 120°
Step-by-step explanation:
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
44 286 ft²
Step-by-step explanation:
4 686.144+3 600+36 000
=44 286.144
f(x)=-3x-23
g(x)=3x+25
I need points X and y
I will give brainly
Answer:
refer to this image here:
hope this helps :)
We will use graphical way to solve it
y=-3x-23y=3x+25Graph it
Solution is
(-8,1)Does the graph shows a proportional relationship
Answer:
no
Step-by-step explanation:
a proportional relationship when graphed always is a straight line that goes through the origin (0,0)
The graph shown, shows a straight line but the line doesn't go through the origin therefore the graph does not show a proportional relationship.
Note that the origin is where the x and y axis cross , or the bottom right corner of the graph in this case
The population of a town is expected to grow by 6% each year.
In 2017 the population was 27,000.
What will the be population in 2018?
Answer:
28620
Step-by-step explanation:
→ Find the multiplier
( 100 + 6 ) ÷ 100 = 1.06
→ Multiply by the original amount
27000 × 1.06 = 28620
2. The temperature at the North Pole is 30°F and is expected to drop 5°F per hour for the next
several hours. Write an equation that represents the relationship between temperature and
time. Explain what information your numbers and variables represent.
The answer is F(t)=30-5t
What are linear equations?Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.
Given here: The temperature at the North Pole is 30°F and is expected to drop 5°F per hour for the next several hours.
let the time in hours be t and F(t) be the temperature after t hours then we have the following equation:
F(t)=30-5t
Hence, The answer is F(t)=30-5t
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PLEASE HELP 20 POINTS!
which statement is true of this graphed function?
A. this function is an even function because it is symmetric about the Y axis
B. this function is an even function because it is symmetric about the origin
C. dysfunction is an odd function because it is symmetric about the origin
D. dysfunction is an odd function because it is symmetric about the Y axis
Answer:
OPTION C
Step-by-step explanation:
This function is odd function because it is symmetric about the origin
Note:This graph also represents the graph of tanx
I hope it helped you
Answer:
Step-by-step explanation:
5. A bottle contains 2 liters of juice. How many milliliters of juice is that?
Answer:
The answer would be 2000
Step-by-step explanation:
Knowing that there are 1000 milliliters in 1 liter, you can multiply that by 2 to get 2000. I hope this helps! :)
Can someone please help me. ILL GIVE BRAINLIEST TO THE RIGHT ANSWER!!
Which quantity is proportional to 40⁄8?
Check all that are true.
10⁄5
120⁄36
20⁄4
5⁄1
120⁄24
Answer:
Step-by-step explanation:
10/5: not part of the answer. This gives 2. The original ratio gives 5.
120 / 36 is not part of the answer. This gives 3 1/3 which is not 5
20/4 true This gives 55/1 true. This gives 5120/24 true. This gives 5The last 3 are the only ones you should choose.
One of the legs of a right triangle measures 13 cm and its hypotenuse measures 17 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
To find the lengths of a right triangle, we can use what is called Pythagorean Theorem: a^2 + b^2 = c^2, where a and b are the legs of the triangle and c is the hypotenuse.
13^2 + b^2 = 17^2
169 + b^2 = 289
b^2 = 120
b = 11.0 cm
The length of the other leg of the triangle is 11.0 cm (rounded).
Hope this helps!
The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.
What is the Pythagoras theorem?The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.
[tex]a^2 + b^2 = c^2[/tex]
Given that One of the legs of a right triangle measures 13 cm and its hypotenuse measures 17 cm.
To find the lengths of a right triangle, we can use Pythagorean Theorem:
[tex]a^2 + b^2 = c^2[/tex],
where; a and b are the legs of the triangle and c is the hypotenuse.
[tex]13^2 + b^2 = 17^2\\169 + b^2 = 289\\b^2 = 120[/tex]
b = 11.0 cm
Therefore, The length of the other leg of the triangle is 11.0 cm rounded to the nearest tenth.
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Which of the following expressions is equal to =
Answer:
4th option
Step-by-step explanation:
Remember the Quotient Rule:
[tex]\frac{x^{m} }{x^{n} } =x^{m-n}[/tex]
6-2 = 4
So it is the last option
Imma need some help here QwQ.
A farmer has a total of 7825 beet plants. He wants to plant 40 beet plants in each
row.
He does the following work in long division:
Answer:
A. The farmer plants 195 rows of beets and has 25 beet plants left over
Step-by-step explanation:
The quotient 195 is the number of full rows the farmer can make. That takes up 195*40 = 7800 plants so far. Then there's an extra 25 left over because 7825-7800 = 25 that can't make up an extra full row.
Tim drew a triangle with one angle of measure 40 degrees and the other 70 degrees. Which triangle did Tim draw?
Answer:
Isocoles (I can't spell)
Step-by-step explanation:
180-70=110. 110-40=70.
Two angles are 70
Time drew the isosceles triangle because the two angles are equal.
Given that,
Tim drew a triangle with one angle of measure 40 degrees and the other 70 degrees. which triangle Tim drew is to be determined.
A triangle with two sides and two congruent angles is called an isosceles triangle.
Here,
Let one of the angles be x
Sum of angles = 180
40 + 70 + x = 180
x = 70
As two of the angle become equal the triangle becomes an isosceles triangle.
Thus, Time drew the isosceles triangle because the two angles are equal.
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3.873... express in p/q form
Expression Expanded Evaluated[tex]-6^{5} \\(-2)^{3} \\-3^{4}\\(-1)^{5}[/tex]
"7 * 4
the * is times
Step-by-step explanation:
that's it in expanded form"
Expanding the expressions:
1)
⇒ (-6)⁵
⇒ (-6)(-6)(-6)(-6)(-6)
⇒ -7776
2)
⇒ (-2)³
⇒ (-2)(-2)(-2)
⇒ (4)(-2)
⇒ -8
3)
⇒ (-3)⁴
⇒ (-3)(-3)(-3)(-3)
⇒ (9)(9)
⇒ 81
4)
⇒ (-1)⁵
⇒ (-1)(-1)(-1)(-1)(-1)
⇒ -1
PLS HELP In circle A, secant EC and tangent BC intersect at point C. mЕВ = 171° and mBD 83°. What is mBCD?
Enter your answer in the box.
Answer:
∠ BCD = 44°
Step-by-step explanation:
the secant- tangent angle BCD is half the difference of the intercepted arcs, so
∠ BCD = [tex]\frac{1}{2}[/tex] (EB - BD) = [tex]\frac{1}{2}[/tex] (171 - 83)° = [tex]\frac{1}{2}[/tex] × 88° = 44°
describe how to simplify the he expression 3^-6/3^-4
Answer:
by using bodmas rule
to solve this problem
Step-by-step explanation:
=3^-6/3^-4
=3-2-4
=-3
Performing a Rotation in the Coordinate Plane
Fill in the missing numbers to make each rotation true
Figure WXYZ is rotated 90° clockwise around the
origin to form figure W'X'Y'Z'.
Answer:
W: (-4,5) W' -> (5,4)
X: (-1,4) X' -> (4,1)
Y: (-6,1) Y' -> (1,6)
Z: (-8,3) Z' -> (3,8)
Step-by-step explanation:
Let me give you a quick brief of how to master rotations!!
You need to understand the formula and positioning rules
The formulas shall be given by teachers or looked up!
*** BUT THE SHAPE POSITIONING RULES MATTER!!
-If the shape was in quadrant 2 which is where it is right now then a 90 degree turn clockwise would result in the shape being on quadrant 1, 180 quad 4, 270: quad 3, and 360 would be the original quad which is 2.
The formula for clockwise for this one is that you need to flip the (x,y) to (y,x)
The shape should be on quadrant 1 which is the one on the top right of the coordinate plane!
They want you to graph it by W'X'Y'Z
The ' is prime which is the new position/coordinate
W: (-4,5) W' -> (5,4)
X: (-1,4) X' -> (4,1)
Y: (-6,1) Y' -> (1,6)
Z: (-8,3) Z' -> (3,8)
That is the rotation 90 degrees clockwise coordinates!!
***REMEMBER EACH ROTATION RULE HAS A DIFFERENT FORMULA!!**
Counterclockwise is pretty similar but the opposite direction with different rules!
**POSITION OF THE SHAPE IS THE MOST IMPORTANT!!!**
1.What is the theoretical probability of popping a striped balloon?
2.What is the experimental probability of not popping a polka dot balloon?
18 solid balloons, 5 polka dot balloons and 17 striped balloons
The probability of popping a balloon is the likelihood of the balloon
The theoretical probability of popping a stripped balloon is 1/3The experimental probability of not popping a polka dot is 0.875How to determine the probability?The given parameters are:
Solid balloons = 18Polka dots = 5Stripped balloons = 17There are three balloons.
So, the theoretical probability of popping a stripped balloon is:
P = 1/3
The experimental probability of not popping a polka dot is calculated as:
P = 1 - P(Polka dot)
This gives
P = 1 - 5/40
Evaluate
P = 0.875
Hence, the experimental probability of not popping a polka dot is 0.875
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Given point a = -7 and point b = 15, find the distance from point a to b. *
a. 8
b. -22
c. 22
and the solution would be appreciated
Answer:
c
Step-by-step explanation:
the distance between a to b is
| 15 - (- 7) | = | 15 + 7 | = | 22 | = 22
or
| - 7 - 15 | = | - 22 | = 22
 Find the length of the third side. If necessary, write in simplest radical form.
IMAGE DOWN BELOW!
SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER
Answer:
c = √5
using pythagoras theorem:
a² + b² = c²2² + 1² = c²c² = 4 + 1c = √5Answer:
2.236 or root 5
Step-by-step explanation:
The pythagorean theorem states that a^2+b^2=c^2.To use it for this question, we know the lengths of both a and b. (It doesn't matter which is which). 2^2+1^2=4+1=5. Root five is about 2.236
Q. what is the volume?
answer choices
A. 72
B. 27
C. 1.5
D. 272
Answer:
[tex]\boxed{\sf{B.\quad 27}}[/tex]Step-by-step explanation:
Use a volume formula.
Volume formula:
[tex]\Longrightarrow:\sf{V=L*W*H}[/tex]
Length: 3Width: 3Height: 3Multiply.
[tex]\sf{3*3*3=\boxed{\sf{27}}[/tex]
Therefore, the volume is 27, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
pls answer its important
Answer:
i dunno'
Step-by-step explanatio i dont know how to explain diss this
Carly has five times as many markers as camden together they have 30 markers how many markers does carly have how many markers does camden have
Answer:
carly=25 camden=5
Step-by-step explanation:
carly:camden= 5:1
5+1=6
30/6=5
carly= 5x5=25
camden=5x1=5
Help?? Thanks if you do
Answer:
l = 6[tex]a^{4}[/tex] + 2a - 1
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = lw ( l is the length and w the width )
given A = 18[tex]a^{5}[/tex] + 6a² - 3a and w = 3a , then
3aw = 18[tex]a^{5}[/tex] + 6a² - 3a ( divide each term by 3a )
w = [tex]\frac{18a^{5} }{3a}[/tex] + [tex]\frac{6a^2}{3a}[/tex] - [tex]\frac{3a}{3a}[/tex] = 6[tex]a^{4}[/tex] + 2a - 1
a motorboat travels a distance of one pier to another pier in 4 hrs and the way back in 5 hrs. What is the speed of the boat in still water if it travels 70 km with the current in 3.5 hrs?
let's recall that d = rt, namely distance = rate * time.
d = distance from one pier to another
c = speed of the current
b = speed of the boat
now, let's notice something, on the way over the boat travelled "d" kilometers in 4 hrs, and back the same "d" kilometers in 5 hours.
when going with the current, the boat is not really going at "b" km/s, is really going faster, at "b + c" km/s, because the current is adding to it.
now, when going against the current, the boat is not really going "b" fast, is really going slower, at "b - c", because the current is subtracting from it.
from the above, we can conclude that the 4hrs trip was with the current, since it took less time, and the 5hrs trip was against the current, and we also know that the boat does 70 km with the current in 3.5 hrs, ok hmmm let's put all that in a table.
[tex]\begin{array}{lcccl} &\stackrel{km}{distance}&\stackrel{km/h}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{on the way over}&d&b+c&4\\ \textit{on the way back}&d&b-c&5\\\cline{1-4} \textit{we also know}&70&b+c&3.5 \end{array}~\hfill \begin{cases} d=(b+c)4\\\\ d = (b-c)5 \end{cases} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{(b+c)4~~ = ~~(b-c)5}\implies 4b+4c=5b-5c \\\\\\ 4c=b-5c\implies \boxed{9c=b} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{we know that}}{70~~ = ~~(b+c)3.5}\implies 70=(b+c)\cfrac{7}{2}\implies \stackrel{\textit{substituting "b"}}{70=(9c+c)\cfrac{7}{2}} \\\\\\ 70=10c\cdot \cfrac{7}{2}\implies 70=\cfrac{70c}{2}\implies 140=70c\implies \cfrac{140}{70}=c\implies \blacktriangleright 2=c \blacktriangleleft \\\\\\ \stackrel{\textit{the speed of the boat in still water is then}}{9c=b\implies 9(2)=b}\implies \blacktriangleright 18=b\blacktriangleleft[/tex]
Adam wishes to have $19,000 available in 18 years to purchase a new car for his son as a gift for his high school graduation. To accomplish this goal, how much should Adam invest now in a CD that pays 1.92% interest compounded semiannually? Adam should invest $ NOW. (Round to the nearest cent as needed.)
The amount of money Adam should save now in order to accomplish his goal is $13,470.30.
How much should Adam save now?In order to determine the amount Adam should save now, the present valaue of $19,000 has to be determined. Present value is the sum of discounted cash flows.
Present value = future value / (1 + interest)^time
Interest = 1.92/2 = 0.96%
Time = 18 x 2 = 36
$19,000 / (1.0096^36) = $13,470.30
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Solve the system of equations below. 4x+1=16 2x+30= - 2
Answer:
D. (5, 4)
Step-by-step explanation:
4x + y = 16 -----> y = 16 - 4x
2x + 3y = -2
Substitute to find x
2x + 3(16 - 4x) = -2
2x + 48 - 12x = -2
-10x = -50
x = 5
Substitute to find y
4(5) + y = 16
20 + y = 16
y = 4
Final solution: (5, 4)
Hope this helps!
6 times the sum of a number and 2
Answer:
6 times means 6 multiplied by
The sum of a number and 2 means x + 2
x = number
(2+x) × 6
A science test was given to boys and girls from three different schools. Rudolph, a junior researcher, wants to analyze the difference in the variability of the mean scores among the three schools. The appropriate statistical test would be the
The appropraite statistical test that would be used to measure the difference in the variability of the mean scores among the three schools is mean absolute deviation.
What is the mean absolute deviation?
Mean absolute deviation is the average of the absolute difference between the data set and its mean. Mean absolute deviation is used to measure spread.
MAD = [tex]\frac{1}{n}[/tex]∑ l x - m(x) l
Where:
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