Answers
The value of z in this convex polygon is equal to 66°
What is a polygon?A polygon can be defined as a two-dimensional geometric shape that comprises straight line segments and a finite number of sides.
Note: The number of sides (n) of a pentagon is 5.
In Geometry, the sum of all the interior angles of a polygon with "n" sides is given by this formula:
Interior angle = 180 × (n - 2)
Interior angle = 180 × (5 - 2)
Interior angle = 180 × 3
Interior angle = 540°.
Now, we can determine the value of z as follows:
(180° - 2z) + (180° - z) + 130° + 108° + 140° = 540°
3z - 378° = 540° - 360°
3z = 378° - 180°
3z = 198°
z = 198°/3
z = 66°
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Related Questions
(3.8 x 10^8)(6.9 x 10^5)
Answers
2.622e+14
OR
262200000000000x^2
Answer:
2.622e+14
Step-by-step explanation:
10^8=100000000
100000000x3.8=380000000
10^5=100000
100000x6.9= 690000
380000000x690000= 2.622e+14
what is one halve times four times five
Answers
Answer:
10
Step-by-step explanation:
A coffee company wants a new flavor of Cajun coffee. How many pounds of coffee worth $9 a pound should be added to 30 pounds of coffee worth $3 a pound to get a mixture worth
$4 a pound?
To get a mixture worth $4 a pound, pounds of coffee should be added.
(Type an integer, proper fraction, or mixed number)
Answers
The measures of the angles of a triangle are shown in the figure below. Find the
measure of the smallest angle.
(6x+3)°
(2x+7)°
Answers
The smallest angle of the right triangle is 27 degrees.
How to find the angle of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees.
The sum of angles in a triangle is 180 degrees.
Therefore, the measure of the smallest angle in the triangle can be found as follows:
90 + 6x + 3 + 2x + 7 = 180
combine like terms
90 + 6x + 3 + 2x + 7 = 180
6x + 2x + 90 + 3 + 7 = 180
8x + 90 + 10 = 180
8x + 100 = 180
subtract 100 from both sides of the equation
8x + 100 = 180
8x + 100 - 100 = 180 - 100
8x = 80
divide both sides by 8
8x / 8 = 80 / 8
x = 10
angle 1 = 6(10) + 3 = 60 + 3 = 63°
angle 2 = 2(10) + 7 = 20 + 7 = 27°
Therefore,
smallest angle of the triangle = 27 degrees.
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solve for y 3y=78 Simplify your answer as much as possible.
Answers
Answer:
y=26
Step-by-step explanation:
3y=78
3 x 26 = 78
y = 26
Choose the equation that represents the line that passes through the point (2, 6) and has a slope of -5.
A) y = -5x + 2
B) y = -5x - 6
C) y = -5x - 4
D) y = -5x + 16
Answers
Answer:
option d
Step-by-step explanation:
y=mx+c
6= -5*2+c
c=6+10
c=16
How will the area of a square change if its side becomes twice as long; 3 times as
long; 10 times as long; n times as long?
Answers
area increase by ( n squared.)
Step-by-step explanation:
consider a square whose sides are 3 by 3.Its area will be 9. if its length becomes twice as long,i.e 6 by 6 ,the area is 36.The ratio between the areas is 1:4 ,hence does the area.In short ,its area increases by 4 times.
What is 34% of 50 please help
Answers
Answer: 17
Step-by-step explanation: 34x50/100 = 17
Answer:
17
Step-by-step explanation:
you type on your calculater
34 divided by 100 multiply by 50
then that will equivalate to 17
All the integers from -16 to -6
Answers
Answer:
-7 -8 -9 -10 -11 -12 -13 -14 -15
Step-by-step explanation: Integers are just numbers that are not fractions or decimals so like any number
hope it help!
how do I set this up and how do I know what am I looking for
Answers
We have to calculate the number of seconds for the flare to return to the sea.
We have an initial vertical speed of 448 ft/s.
The only force acting on the flare is gravity.
Then, we can model the heigth in function of time using the equation:
[tex]h(t)=h_0+v_yt-\frac{g}{2}t^2[/tex]where h0 = 0 ft, vy = 448 ft/s and g = 32 ft/s².
Then, we can replace and calculate t for h(t) = 0, that is the time it took the flare to come back to the initial height (that is 0 ft):
[tex]\begin{gathered} h(t)=0 \\ h_0+v_yt-\frac{g}{2}t^2=0 \\ 0+448t-\frac{32}{2}t^2=0 \\ 448t=16t^2 \\ 448=16t \\ t=\frac{448}{16} \\ t=28 \end{gathered}[/tex]Answer: it will take 28 seconds for the flare to return to the sea [Third option].
4 765 173
Round the number to the nearest 1000
Answers
Answer:
4765000
Step-by-step explanation:
You set your entertainment budget to $100 per month. Eating out costs $35, movies cost $15, and concerts cost $60. Can you eat out, go to a movie, and go to a concert in the same month, while staying within your budget?
Answers
Answer:
no you will be $10 over budget
Step-by-step explanation:
start with $100
take away $35 for eating out = $65
take away $15 for movies = $50
then take away $60 for concerts
that means you willl be over $10
Answer:
it's 28.899 because it's more tan 1200
Find RS
QR = 11
RS = 3x
the one of the bottom that is the same length as the top is 7x-1
Answers
Answer:
RS = 9
X = 3
Step-by-step explanation:
Because QS = QR + RS
QR = 11
RS = 3x
QS = 7x -1
So ...
11 + 3x = 7x - 1
+1
12 + 3x = 7x
-3x
12 = 4x
/ 4
x = 3
3(3) = 9
RS is 9
17. In AGHI, m/G = (10x +9)°,
m/H = (3x + 13)°, and m/I = (x + 4)°. What
is the value of x?
Answers
The value of x in the triangle that we are to solve is 11
How to solve for the value of xwe have the sum of angles that are in a triangle to be = 180
such that we have to sum all of the triangles that we have here
10x + 9 + 3x + 13 + x + 4 = 180
we have to take the like terms
10x + 3x + x + 9 + 13 + 4 = 180
14x + 26 = 180
14x = 180 - 26
14x = 154
divide through by 14
x = 154 / 14
= 11
Therefore the value of x is 11
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The price of an item has been reduced by $3.27 the original price was $48.92 what is the price now
HELPPPPP PLEASE
Answers
Answer:
$45.65
Step-by-step explanation:
$48.92 - $3.27 = $45.65
a right rectangular prism is packed with cubes of side length 1/6 inch. if the prism is packed with 12 cubes along the length, 3 cubes along the width, and 2 cubes along the height, what is the volume of the prism?
Answers
The volume of the right rectangular prism= 1/3 cubic inches
In this question, we have been given a right rectangular prism is packed with cubes of side length 1/6 inch.
We need to find the volume of the rectangular prism if the prism is packed with 12 cubes along the length, 3 cubes along the width, and 2 cubes along the height.
The length of the rectangular prism would be,
l = 12 × 1/6
l = 2 inches
The width of the rectangular prism would be,
w = 3 × 1/6
w = 1/2 inches
The height of the rectangular prism would be,
h = 2 × 1/6
h = 1/3 inches
so, the volume of the rectangular prism would be,
V = l × w × h
V = 2 × 1/2 × 1/3
V = 1/3 cubic inches
Therefore, the volume of the rectangular prism = 1/3 cubic inches
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Please help due tonight.
Answers
Answer:
A
Step-by-step explanation:
A train travels at 75 miles per hour. What equation that compares the time (t) with the distance (d)?
d = 75t
t = 75d
t = d + 75
d = t + 75
Answers
The domain is time (t) and the range is distance (d).
d is dependant on 75(t).… meaning: a train covers a certain amount of ground (distance =d) depending on the hour.
If a scale of a map is 1:10000 what will be the length on this map of a road which is 5 km long?
Answers
Step-by-step explanation:
1:10000
means we are using the same metric on the map and in reality.
just 1 unit in the map corresponds to 10000 units in reality.
so, e.g. 1 cm on the map = 10000 cm in reality.
1 m = 100 cm
so, 10000 cm = 100 m.
therefore, 1 cm on the map = 100 m in reality.
but we need 5 km = 5000 m.
that is 50 times 100 m in reality or 1 cm on the map.
so, the length on the map is 50 cm.
Ron Fortini received a 5.20% merit increase and
a 2.75% cost-of-living increase after his quarterly review.
His new weekly salary was $968.80. What was his weekly
salary prior to the increases?
Answers
A salary is the amount of money that an employee receives from their employer each month, particularly if they work in a profession like education, law, or medical
His weekly salary prior to the increases is $897.45.
How to find his salary prior?An employee's pay is the amount of money that they are given each month by their employer, particularly if they work in an occupation like education, law, or medicine.
For instance, the lawyer received a big salary.
Given,
Ron Fortini received a 5.20% merit increase
2.75% cost-of-living increase
His new weekly salary is $968.80.
Solution:
Let's take his initial salary as x.
The total increase in Ron's salary = 5.20%+2.75% = 7.95%
i.e.,
107.95% * x = $968.80
107.95/100*x = 968.80
x = 968.80 * 100/107.95
x = 897.45
His weekly salary prior to the increases is $897.45.
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One batch of cookies requires 1 3/4 cups of flour. How much flour would you need for 2/3 of a batch
Answers
The amount of flour needed for 2/3 of a batch of cookies is [tex]1\frac{1}{6}[/tex].
What are fractions?An element of a whole is a fraction. The number is represented as a quotient in mathematics, where the numerator and denominator are divided.p/q is a common way to represent fractions. They are divided into three categories: proper fractions, improper fractions, and mixed fractions depending on the numerator and the denominator.Given:
Amount of flour required for one batch of cookies = [tex]1\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex]
Amount of flour needed for 2/3 of a batch of cookies = [tex]\frac{2}{3} * \frac{7}{4}[/tex] = [tex]\frac{7}{6}[/tex] = [tex]1\frac{1}{6}[/tex]
Therefore, the amount of flour required for 2/3 of a batch of cookies is [tex]1\frac{1}{6}[/tex].
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It costs a flat fee of $100 to rent a water taxi, plus $15 per hour the water taxi is rented.
a. Circle any key words that can help you model this situation as a function!
b. Define your input variable, x:
15
c. Write a function, f(x), to model this scenario:
d. Find f(3). What does this value represent, in context?
e. What is the predicted cost of the water taxi, if you rent it for four hours? Express this
value in function notation.
Answers
Answer:
the answer is *a sorry if wrong
What is the quotient of 9,750 divided by 15? 65 650 975 6,500
Answers
Answer:
Step-by-step explanation:
The answer is 650 if you use long division you get 6 to make 90 drop the 7 then it is 75 15 goes into 75 5 times then add a zero for the last digit there for making 650. I also checked my work by multiplying 15X650 and I got 9,750.
An ice cream truck driver sold 2,812 popsicles and 2,265 ice cream bars in one month. he had 422 treats left over. how many treats did he have to start with? 4,499 total treats 5,500 total treats 5,499 total treats 4,500 total treats
Answers
Answer: 5499
Step-by-step explanation:
2812 + 2265 + 422 = 5499
MATHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH
Answers
Answer:
Y=136
Step-by-step explanation:
50 POINTSSS! PLEASE HELP ONLY ONE MATH PROBLEMM! I WILL ALSO GIVE BRAINLIEST
Answers
Answer:
the discrete and cont is 2-4 or 3-4
domain should be 3
range thats ezzzzz thats 3,4
function, umm bud your on your own for that :D
Step-by-step explanation:
What is 23/90 simplified
Answers
Answer:
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 23 and 90 is 1
Divide both the numerator and denominator by the GCD
23 ÷ 1
90 ÷ 1
Reduced fraction:
23
90
Therefore, 23/90 simplified to lowest terms is 23/90.
Answer:
Step-by-step explanation:
it is not possible to simplify 23/90, the numerator and denominator can only be divided by 1 and it remains 23/90
Its urgent please help with all 6!!!
Answers
Using the segment addition postulate and the properties of equality, the value of n is determined as explained below.
What is the Segment Addition Postulate?The segment addition postulate states that if points X, Z, and Y are collinear and lie on a straight line, then the sum of the lengths of XZ and ZY would be equal to the length of XY.
Using the segment addition postulate and other properties of equality, the value of n in the image is determined as explained below:
XY = 42 Given
XZ + ZY = XY a. segment addition postulate
3(n + 4) + 3n = 42 b. substitution
3n + 12 + 3n = 42 c. distributive property
6n + 12 = 42 d. Combine like terms
6n = 30 e. subtraction property of equality
n = 5 f. division property of equality
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After completing the fraction division 5 divided by five-thirds, Miko used the multiplication shown to check her work.
3 times five-thirds = StartFraction 3 Over 1 EndFraction times five-thirds = StartFraction 15 Over 3 EndFraction or 5
Which is the most accurate description of Miko’s work?
A.Miko found the correct quotient and checked her work using multiplication correctly.
B.Miko found the correct quotient but checked her work using multiplication incorrectly.
C.Miko found an incorrect quotient but checked her work using multiplication correctly.
D.Miko found an incorrect quotient and checked her work using multiplication incorrectly.
Answers
The accurate description of Miko’s work is that D. Miko found an incorrect quotient and checked her work using multiplication incorrectly.
How to calculate the expression?From the information, Miko wants to complete the fraction division 5 divided by five-thirds.
This will be illustrated as:
= 5 ÷ 5/3.
= 5 × 3/5
= 3
From the information, the multiplication that was done to check the answer was:
= 3 × 5/3
= 5..
It should be noted that the quotient and the multiplication are wrong. Therefore, the correct option is D.
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PLEASE HELP !!!! WILL MAKE BRAIN MASTER
Answers
Answer:
13/ The Y-intercept is 4.95 b/c we know that m is the x, so we just need to plug in 0 for it and we will get the Y-intercept as 4.95.
14/ I don't know how to attach the graph
15/ $11.95
c= 0.05(140) + 4.95 = $11.95