Answers
Hi there!
The error in using the diagram to find x in the solving is that they only picked two angles and equated to 180° which is wrong. You'll find out that their final value for x contains a decimal point which should never be in angles.
The above diagram is a revolution (360°) or angle at a point, so all the angles have to be considered and equated to 360° and NOT 180°
Below is the corrected solving.
[tex]13x + 45 + 12x - 40 + 19x + 3 + 6x + 2 = 360[/tex]
(reason: angles at a point = 360°)
Collect like terms, and make x the subject of formula.
[tex]⟹50x + 10 = 360[/tex]
[tex]⟹50x = 360 - 10[/tex]
[tex]⟹50x = 350[/tex]
Now, divide both sides by 50 to find the value of x.
[tex] \frac{50x}{50} = \frac{350}{50} [/tex]
Therefore:
[tex]x = 7[/tex]
Related Questions
When changed to standard form, how many zeros will be after the seven?
1587 x 10^39 = EASY POOINTS
Answers
Answer:
39
Step-by-step explanation:
because the decimal is moved 39 times as shown by calculating the sum
Answer:
Your answer is 39
Hope this helps
**50 POINTS + BRAINLIEST ** Does society/government have any effect on the way scientific theories are shaped. Did that have any role in forming the basis for categorizing something as "living?" Does society/government have any influence in
science today? Please give lots of information as possible it’s supposed to be for a essay :) best answer will receive brainliest
Answers
Answer:
Society helps determine how its resources are deployed to fund scientific work, encouraging some sorts of research and discouraging others. Similarly, scientists are directly influenced by the interests and needs of society and often direct their research towards topics that will serve society.
an independent contractor charges $60 per hour. how many hours did the contractor work to make $42,720
Answers
simplify 6 1 over 3 divide (4 5 over 6 - 3 1 over 5
Answers
Answer:
3.5 maybe?
Step-by-step explanation:
have a nice morning or night
Write an equation for this relationship
Answers
Answer:
y=18.5x
Step-by-step explanation:
get 55.5/3=18.5
y=18.5x
habusbgsbiqnwksisnhsvqjuq
The perimeter of a rectangle is 56 inches. The length is 4 more than twice the width. Write and solve a system to determine the length of the rectangle
Answers
length: x + 4
Equation: 2(x + x + 4) = 56
2(2x + 4) = 56
4x + 8 = 56
4x = 48, x = 12
Width = 12, 12 + 4 = length
Solution: the length is 16 inch
Answer:
56×4=x
so x=224
Step-by-step explanation:
if i am wrong sorry didnt fully understand what you wanted
when the least common multiple of two positive integers is divided by their greatest common divisor, the result is 33. if one integer is 45, what is the smallest possible value of the other integer?
Answers
The smallest value of the other number will be 3 ×5× 11 =165
In the given statement is :
When the least common multiple of two positive integers is divided by their greatest common divisor, the result is 33. If one integer is 45.
To find what is the smallest possible value of the other integer
Now, According to the question
One of the numbers 3 ×3× 5 = 45
The lowest common multiple has to be a multiple of 45 i.e.,
3 ×3× 5 something when LCM is divided by the greatest common divisor
then the answer is 33 = 3 x 11 .
So the other number will have to be a multiple of 11
3 ×3× 5× 11 × ?/ some factor of 4 = 33
(3 ×5) ×3× 11 × 1 /3 × 5 = 33
So if the greatest common divisor is 3× 5 the given number is 3 ×3× 5
Hence, The smallest value of the other number will be 3 ×5× 11 =165
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what is the volume of the rectangular prism HELPPP WILL GIVE BRAINLIEST
Answers
Answer:
1 1/9
Step-by-step explanation:
Wang Hao wants to spend at most \$15$15dollar sign, 15 on dairy products. Each liter of goat milk costs \$2.40$2.40dollar sign, 2, point, 40, and each liter of cow's milk costs \$1.20$1.20dollar sign, 1, point, 20.
Answers
Answer:
2.40G + 1.20C ≤15
Step-by-step explanation:
The inequality function is
Given that
The cost of goat milk for each liter is $2.40 = G
And, the cost of the cow milk for each liter is $1.20 = C
Now the equation would be
2.40g + 1.20c
Now this must be lower or equal than $15
So, the inequality function would be
2.40G + 1.20C ≤15
hence, the inequality function is 2.40G + 1.20C ≤15
Answer:
2.4G + 1.2C < or = to 15
Step-by-step explanation:
We are given that each liter of goat milk costs $2.40$2.40dollar sign, 2, point, 40, and each liter of cow's milk costs $1.20$1.20dollar sign, 1, point, 20.How can we express the total cost of liters of goat milk and cow's milk that Wang Hao can buy?Hint #22 / 3The cost of GGG liters of goat milk is 2.4G2.4G2, point, 4, G, and the cost of CCC liters of cow's milk is 1.2C1.2C1, point, 2, C. Therefore, the total cost of liters of goat milk and cow's milk that Wang Hao can buy is 2.4G+1.2C2.4G+1.2C2, point, 4, G, plus, 1, point, 2, C.We are also given that Wang Hao wants to spend at most $15$15dollar sign, 15 on dairy products. This means that it is possible for Wang Hao to spend $15$15dollar sign, 15 or any amount less than this. Let's use this condition to create the appropriate inequality.Hint #33 / 3The following inequality represents the number of liters of goat milk and cow's milk Wang Hao can buy on his budget: 2.4G+1.2C≤152.4G+1.2C≤15
JJill begins the summer with $500 in her savings account. Each week, she withdraws $20. Her brother, Sam,starts the summer with $150 in his account. He adds $30 to his account each week. At what week will both Jill and Sam have the same amount in their account.
Answers
Answer:
7th week
Step-by-step explanation:
Let us represent the number of weeks as x
Jill begins the summer with $500 in her savings account. Each week, she withdraws $20.
$500 - $20× x
500 - 20x
Her brother, Sam,starts the summer with $150 in his account. He adds $30 to his account each week.
$150 + $30 × x
150 + 30x
At what week will both Jill and Sam have the same amount in their account?
We solve this be Equating both Equations together
Jill = Sam
500 - 20x = 150 + 30x
Collect like terms
500 - 150 = 30x + 20x
350 = 50x
Divide both sides by 50
50x/50 = 350/50
x = 7 weeks
Therefore, at the 7 week, Jill and sam would have the same amount in their accounts
In the Pythagorean Theorem, the sum of the squares of the legs is equal to the square of the
a. shorter leg
b. longer leg
c. sum of the angles
d. hypotenuse
Answers
Answer: D
Step-by-step explanation:
The sum of the squares of the legs is equal to the square of the hypotenuse .
Write equations for the horizontal and vertical lines passing through the point (-2,-5).
Answers
Answer:
y = -5x = - 2=============================
The horizontal line has same y- coordinate for each x- coordinate, and is parallel to the x-axis so it is:
y = - 5The vertical line has same x- coordinate for each y- coordinate, and is parallel to the y-axis so it is:
x = - 2Refer to graphs.
H E L P PLZZZ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
138
Step-by-step explanation:
just plug in the numbers:
4*6^2 - 36/6
use pemdas
4*36 - 6 = 144-6 = 138
Answer: The answer is 138.
Step-by-step explanation: First, find 6 squared. That is 36. Multiply that by 4 to get 144. After that, find 36 divided by 6. That is 6. Finally, subtract 144 and 6.
please help me! i will give brainlest!
Answers
Answer:
16.5 should be correct because OS is half the length.
If ABCD is a rectangle, BD = 2x + 5 and AC = 7x - 40. Find the value of BE.
Answers
Answer:
AC = 23
BD = 23
Step-by-step explanation:
ABCD is a rectangle,
AC and BD are its diagonals.
Diagonals of a rectangle are congruent.
Therefore,
AC = BD
7x - 40 = 2x + 5
7x - 2x = 5 + 40
5x = 45
x = 45/5
x = 9
BD = 2x + 5 = 2*9 + 5 = 18 + 5 = 23
AC = 7x - 40 = 7*9 - 40 = 63 - 40 = 23
Two functions are shown below.
f(x) = 3x + 7
g(x) = 2x + 12
What is the value of x where the graphs of f(x) and g(x) intersect?
Answers
Answer:
x=5
Step-by-step explanation:
Ok so put them equal to each other
2x+12=3x+7
subtract 12 from both sides
2x=3x-5
subtract 3x from both sides
-x=-5
divide both sides by -1
x=5
Have a wonderful day/night
Brainliest please.
Jose rented a bike from Maurice's Bikes for $18 plus $5 per hour. If Jose paid a total of $38, how many hours did he rent the bike?
Answers
Answer: 4 hours
Step-by-step explanation:
38- 18 = 20
20 / 5 = 4
Answer:
4 hours
Step-by-step explanation:
If he paid a total of $38 then you first would subtract the $18. You are left with 20. Divide that by the $5 then you get 4
Review: Angle Bisectors
A
Directions: Label the diagram with the
proper congruence markings and known
measurements.
Answers
Answer:
m∠AOC = 15°m∠BOC = 15°Step-by-step explanation:
Given the angle ∠AOB
It is stated that CO is the angle bisector of ∠AOB.
Given that ∠AOB = 30°
As we know that the angle bisector bisects the angle into two equal angles.
Thus, the angle bisector CO bisects the angle ∠AOB into two equal angles, which are:
m∠AOCm∠BOCas
∠AOB = 30°
Thus, the two formed angles i.e m∠AOC and m∠BOC by the angle bisector would be half of the angle bisector as the angle bisector bisects the angle ∠AOB into two equal angles.
Therefore,
m∠AOC = 15°m∠BOC = 15°Question 4 of 9
Trent is building a new L-shaped desk for his room. He wants to make sure it
is large enough to hold all his supplies. The dimensions of the desk, in feet,
are shown in the diagram. What is the area of the desk?
7
311
31
36
A. 45 square feet
B. 33 square feet
O C. 23 square feet
O D. 42 square feet
Answers
Choose the three numbers that the model represents. a model split into 10 equal parts with 8 parts shaded.
Answers
Answer:
4/5 i dont get the question but this is what 8/10 is equal to
Step-by-step explanation:
A shirts price was $32, on 6% mark, what is the new price of the shirt
Answers
Answer:
19.20
Step-by-step explanation:
.6 is 6%. X 32
Answer:
I think about 4.84 cent
can someone please help me with this problem :)
Answers
Answer:
42
Step-by-step explanation:
f(x)= -x2-5x+36
f(-3)= -(-3)2-5(-3)+36
= -(9)-5(-3)+36
= -9+15+36
=6+36
=42
What is the reciprocal of 7/18
Answers
Answer:
18/7
Step-by-step explanation:
x=reciprocal of 7/18
7/18 * x = 1 ==> the product of the reciprocal of a number and the number itself is one since the product of the numerator and the product of the denominator would be the same.
7x/18=1
7x/18 * 18=1*18
7x=18
7x/7=18/7
x=18/7
I need you’re helpppppppppp
Answers
S-2
2 3 4 5
A) y--x-2
C) y = 2x - 2
B) y=-2x - 2
D) y=-2x - 1
Answers
Answer:
gmj5
Step-by-step explanation:
t5y6
what is the slope of y-14=-8(x+2)?
Answers
Answer:
slope: -8
Explanation:
[tex]\sf slope\:intercept\:form:y = mx+ b[/tex]
where:
m = slopeb = y-interceptHere equation:
⇒ y - 14 = -8(x + 2)
rewrite:
⇒ y = -8x - 16 + 14
simplify
⇒ y = -8x - 2
Here, the slope is -8 and y-intercept is -2.
simplify 6(2x + 4) – 2x + 15 – y
Please help me on this one I'm tripping on it.
Answers
Answer:
10x + 39 - y
Step-by-step explanation:
Answer:
10x - y +39
Step-by-step explanation:
The accompanying data are 45 commute times to work in minutes for workers of age 16 or older in chicago. Construct a frequency distribution. Use a class width of minutes and begin with a lower class limit of minutes. Do the data amounts appear to have a normal distribution? examine the data and identify anything appearing to be unique. Loading. Click the icon to view the commute times. Question content area bottom part 1 construct the frequency distribution. Commute time (minutes) frequency 15 10 16 31 18 32 47 11 48 63 5 64 79 0 80 95 1
Answers
The frequency distribution of the commute time in minutes is:
Commute time Frequency
1 - 15 10
16 - 30 18
31 - 45 11
46 - 60 5
61 - 75 0
76 - 90 1
How to construct the frequency distribution?The distribution of the commute time in minutes is given as
Commute time (minutes) frequency
60 15 35 30 15 45 10 15 15 30 30 30 45 30 20 20 15 45 60 15 30 30 60 30 45 30 12 45 20 10 45 45 35 60 20 20 30 4 80 45 30 60 45 25 30
From the question, we have:
Frequency = 45
Minimum lower class limit = 1
Class width = 15 minutes
This means that the class intervals are
1 - 15, 16 - 30, 31 - 45, 46 - 50.......
When the distribution of the commute time in minutes is sorted into the class intervals, we have:
1 - 15: 15 15 10 15 15 15 15 12 10 4
16 - 30: 30 30 30 30 30 20 20 30 30 30 30 20 20 20 30 30 25 30
31 - 45: 45 35 45 45 45 45 45 45 45 35 45
46 - 60: 60 60 60 60 60
61 - 75:
76 - 90: 80
Determine the frequencies
1 - 15: 10
16 - 30: 18
31 - 45: 11
46 - 60: 5
61 - 75: 0
76 - 90: 1
Hence, the frequency distribution of the commute time in minutes is:
Commute time Frequency
1 - 15 10
16 - 30 18
31 - 45 11
46 - 60 5
61 - 75 0
76 - 90 1
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In ΔHIJ, the measure of ∠J=90°, the measure of ∠H=71°, and JH = 2 feet. Find the length of IJ to the nearest tenth of a foot.
Answers
Answer:
IJ is 5.8 ft
Step-by-step explanation:
Here, we want to calculate the length of IJ
to Find IJ, we need the appropriate trigonometric ratio
The trigonometric ratio to use in this case is the one that connects the opposite and the adjacent
from the question, IJ is the opposite
This is the side facing the given angle
HI is the hypotenuse which is the side facing the right-angle
HJ is the third side which is the adjacent
Mathematically;
That is the Tan
Tan 71 = IJ/2
IJ = 2 Tan 71
IJ = 5.8
Tyrone had $17,000 to invest. He invested part of that amount at 2.5% annual interest for one year and the other part at 6.5% annual interest for one year. The amount of interest earned for both investments was $550. Let x represent the amount of money invested in the first account and y represent the amount of money invested in the second account. Which system of equations best represents the situation?
Answers
Answer:
The system of equations best represents the situation
x + y = 17,000.... Equation 1
0.025x + 0.065y = 550... Equation 2
Step-by-step explanation:
Let
x represent the amount of money invested in the first account and
y represent the amount of money invested in the second account.
We are told that:
Tyrone had $17,000 to invest.
Hence,
x + y = $17,000
x + y = 17,000..... Equation 1
We also known that:
He invested part of that amount at 2.5% annual interest for one year and the other part at 6.5% annual interest for one year. The amount of interest earned for both investments was $550
The formula for Interest =
Principal(Amount invested) × Rate × Time.
Hence:
25% × x + 6.5% × y = 550
0.025x + 0.065y = 550... Equation 2
The system of equations best represents the situation
x + y = 17,000.... Equation 1
0.025x + 0.065y = 550... Equation 2