Answer:
13 = x
Step-by-step explanation:
Remark
The six exterior angles add up to 360. In fact the exterior angles of any closed convex figure adds up to 360.
You can try this with simple figures. An equalateral triangle has 3 equal exteror angles. They are all 120 degrees 3*120 = 360
A square has 4 exterior angles. All 4 of them are 90 degrees. The sum of them is 90 * 4 = 360
Givens
Angles
3x+ 6,7x - 11, 62, 4x + 7 , 6x-5, 41The Total is 360 degrees
Solution
3x + 6 + 7x - 11 + 62 + 4x + 7 + 6x - 5 + 41 = 360 Combine like terms
20x + 100 = 360 Subtract 100 from both sides
20x = 360 - 100
20x = 260
x = 13
Check
3x + 6 = 457x - 11 = 80 624x + 7 = 596x - 5 = 73 41 Total 360One of the great mysteries of the world is why hotdogs and hotdog buns come in packages of different sizes. Hotdogs come in packs of 8 and buns come in packs of 12 at your local store. What is the least number of each you can buy in order to have an equal number of hotdogs and buns
Answer:
Two packs of buns and three hotdog packages
Step-by-step explanation:
Heya!
[tex] \underline{ \underline{ \text{Question}}} : [/tex] In the given [tex] \triangle[/tex] ABC , AE is the bisector of [tex] \angle[/tex] BAC. If BO [tex] \perp[/tex] AE and BM = MC , prove that OM [tex] \parallel[/tex] AC.
Answer:
this is your answer look it once.
Answer:
this is your answer look it once:
I need help with please
Step-by-step explanation:
1. Formula for simple interest,
[tex]a = p(1 + rt)[/tex]
where
a = Final amount
p = Principal amount
r = annual interest rate
t = time in years
given p = 1250
r = 4.25/100 (r is a raw number, not percentage, so we need to divide 100 here to get the raw number)
t=4
Substitute values into formula to get a.
[tex]a = 1250(1 + (\frac{4.25}{100})(4)) \\ = 1250(1 + 0.17) \\ = 1250(1.17) \\ = 1462.50dollars[/tex]
Let's use the simple interest to calculate Henry's final amount first.
p = 5000
r = 4.2/100
t = 4
[tex]a = 5000(1 + ( \frac{4.2}{100} )(4)) \\ = 5000(1 + 0.168) \\ = 5000(1 .168) \\ = 5840 \: dollars[/tex]
To calculate the interest paid, just use the final amount minus the principal amount
[tex]a - p = 5840 - 5000 \\ = 840dollars[/tex]
Now we will do the exact same method for Ingrid.
p = 5,000
r = 3.9/100
t = 6
[tex]a = 5000(1 + ( \frac{3.9}{100} )(6)) \\ = 5000(1 + 0.234) \\ = 5000(1.234) \\ = 6170 \: dollars[/tex]
[tex]a - p = 6170 - 5000 \\ = 1170dollars[/tex]
Difference in interest between 2 of them =
Interest of Ingrid Loan - Interest of Henry Loan
= 1170 - 840
= $330
What is the area of the octagon, rounded to the nearest square inch? 88 in.2 175 in.2 332 in.2 700 in.2
Answer:C
Step-by-step explanation:332 square in
Answer:
The answer is C, 332 in.2.
Step-by-step explanation:
Just did the unit test on edge. Hope this was able to help, have a good day <3 :)
Use the slope formula to find the missing coordinate.
m = 2, A (_,0), B(5,10)
A.-5
B.0
C.5
The cost of a pair of shoes fell from $66 to $54.
What was the percentage change?
Answer:
18.18%
Step-by-step explanation:
66 - 54 = $12
% change - 12/66 * 100
simplify - 12/66 --> 2/11
2/11 * 100
200/11
18.18%
Find the circumference of the circle.
A circle has diameter 9 centimeters.
9
Answer:
2.86478897565 or 3 (if rounded to the nearest whole number)
Step-by-step explanation:
How we find circumference by using diameter is divide the diameter by pi
SO 9 divide by pi equals 2.86478897565 or 3 (if rounded to the nearest whole number)
Can u mark me as brainlist? :)
HAVE A GREAT DAY!
Solve the equation. u+3=7
Answer: 4
Step-by-step explanation:
u+3=7
u=7-3
u=4
Write an example of a Counter Variable
in python code
Answer:
printf(“%d”, i++);
Step-by-step explanation:
Answer:
count += 1
OR
count = count + 1
Step-by-step explanation:
count = 0
numbers = int(input("Enter a number: "))
while number > 0:
number = number // 10
count +=1
print("Total number of digits", count)
HELP PLEASE 15 POINTS
Angle C, it sounds obvious but they correspond to the angle in the same order as them, as both E and C are in the middle it has to be C.
Answer:
C
Step-by-step explanation:
ΔDEF ≅ ΔBCA
It's asking which one is similar to ∠E
∠E ≅ ∠C
estimate the percent of the number 7% of 501
Answer:
35.7
Step-by-step explanation:
I typed percentage calculator, find a calculator, calculate it, find 35.7♀️
A restaurant has many vistors over the weekend.4/9 of the visitors are adults. If there were 380 adults, how many visitors were children? Answer
Answer:
475 children
Step-by-step explanation:
A restaurant has many vistors over the weekend.4/9 of the visitors are adults. If there were 380 adults, how many visitors were children? Answer
Step 1
We find the total number of visitors the restaurant had over the weekend. This is calculated as:
Let the total number of visitors = x
4/9 × Total number of visitors = 380 Adults
4/9 × x = 380
4x/9 = 380
Cross Multiply
4x = 9 × 380
x = 9 × 380/4
x = 855 visitors.
Step 2
The number of visitors that were children is calculated as:
Total number of visitors - Number of Adults
= 855 visitors - 380 Adults
= 475 children
Write the number below as a fraction in its simplest form 0.˙49˙9 (more clearer picture is attached here)
Answer:
499/999
Step-by-step explanation:
The decimal number written is:
0.499...
Such that these 3 decimals are repeated as:
0.499499499...
Let's define this number as k
k = 0.499...
Let's multiply this number by 1000 (the same number of zeros as important decimals after the decimal point)
we get:
1000*k = (1000)*(0.499...) = 499.499...
Now we can subtract the original number k, so we get:
1000*k - k = 499.499... - 0.499...
In this way, we remove the part after the decimal point:
1000*k - k = 499.499... - 0.499...
(1000 - 1)*k = 499
999*k = 499
Now we can divide both sides by 999
(999*k)/999 = 499/999
k = 499/999
The fraction notation of our number is 499/999 (and this is the simplest form)
What is the slop and the y-intercept on the graph?
Answer:
Slope= 2 ; y intercept= 4
Step-by-step explanation:
Slope: (y2 - y1)/(x2-x1) where x and y indicate the coordinates of two points
Slope = (4-0)/(0-(-2) = 4/2 = 2
y intercept is where the line intercepts the y axis: it happens in (0;4)
Answer:
y intercept is 4 and slope is 2
Step-by-step explanation:
identify all the numbered angles that are congruent to the given angle.
Answer:
1, 4, and 7
Step-by-step explanation:
1, 7, 4
Opposite angles are congruent
Question 7: The ratio of M's to A's cat is 5:7. Meg's cat weighs 20 kg. How
much more does Anne's cat weigh?
A) 28 kg
B) 2 kg
C) 8 kg
D) 9.3 kg
Answer: C
Step-by-step explanation: The ratio shows that Anne's cat is 2kg heavier, but Meg's cat weighs 20kg which is 4 times what the ratio shows the weight is, so the difference of the weight is also 4 times greater, which is 8kg!
The value of weight of Anne's cat will be 28 kg. Then the correct option is A.
What is the ratio?The utilization of two or more additional numbers that compares is known as the ratio.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The ratio of M's to A's cat is 5:7. Meg's cat weighs 20 kg.
Let 'x' be the weight of Anne's cat. Then the equation is given as,
5 / 7 = 20 / x
Simplify the equation, then we have
5 / 7 = 20 / x
1 / 7 = 4 / x
x = 28 kg
The value of weight of Anne's cat will be 28 kg. Then the correct option is A.
More about the ratio link is given below.
https://brainly.com/question/13419413
#SPJ2
6th grade math help me pleaseee
Answer:
a or theiraanatheira or theirthey'rethereAnswer:
1 A 2 A 3 an 4 A 5 Their 6 a, Their 7 they'er 8 there
Step-by-step explanation:
At the base of a pyramid, a surveyor determines that the angle of elevation to the top is °. At a point meters from the base, the angle of elevation to the top is °.
Answer:
[tex]\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}[/tex]
Step-by-step explanation:
Incomplete question:
[tex]\angle CBD = 53^\circ[/tex]
[tex]\angle CAB = 35^\circ[/tex]
[tex]AB = 75[/tex]
See attachment for complete question
Required
Determine the equation to find x
First, is to complete the angles of the triangle (ABC and ACB)
[tex]\angle ABC + \angle CBD = 180[/tex] --- angle on a straight line
[tex]\angle ABC + 53= 180[/tex]
Collect like terms
[tex]\angle ABC =- 53+ 180[/tex]
[tex]\angle ABC =127^\circ[/tex]
[tex]\angle ABC + \angle ACB + \angle CAB = 180[/tex] --- angles in a triangle
[tex]\angle ACB + 127 + 35 = 180[/tex]
Collect like terms
[tex]\angle ACB =- 127 - 35 + 180[/tex]
[tex]\angle ACB =18[/tex]
Apply sine rule
[tex]\frac{\sin A}{a} = \frac{\sin B}{b}[/tex]
In this case:
[tex]\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}[/tex]
This gives:
[tex]\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}[/tex]
Step-by-step explanation:
sin18
∘
)
=
x
(sin35
∘
)
Step-by-step explanation:
Incomplete question:
\angle CBD = 53^\circ∠CBD=53
∘
\angle CAB = 35^\circ∠CAB=35
∘
AB = 75AB=75
See attachment for complete question
Required
Determine the equation to find x
First, is to complete the angles of the triangle (ABC and ACB)
\angle ABC + \angle CBD = 180∠ABC+∠CBD=180 --- angle on a straight line
\angle ABC + 53= 180∠ABC+53=180
Collect like terms
\angle ABC =- 53+ 180∠ABC=−53+180
\angle ABC =127^\circ∠ABC=127
∘
\angle ABC + \angle ACB + \angle CAB = 180∠ABC+∠ACB+∠CAB=180 --- angles in a triangle
\angle ACB + 127 + 35 = 180∠ACB+127+35=180
Collect like terms
\angle ACB =- 127 - 35 + 180∠ACB=−127−35+180
\angle ACB =18∠ACB=18
Apply sine rule
\frac{\sin A}{a} = \frac{\sin B}{b}
a
sinA
=
b
sinB
In this case:
\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}
AB
sinACB
=
x
sinCAB
This gives:
\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}
75
(sin18
∘
)
=
x
(sin35
∘
)
1. If AD = 25, then BC =
2. If AB = 30, then DC =
Answer:
1. BC=25
2. DC=30
Step-by-step explanation:
In a parallelogram, pairs of opposite sides are always equal. The side opposite of AD is BC, so if AD=25, BC=25. Likewise, if side AB=30, side DC=30. Of course, this is assuming the shape is a parallelogram. If it is not, there is no way of determining the side lengths.
lmk if im wrong, hope this helps :)
Match each correlation coefficient to the appropriate scatter plot. The line in each scatter plot is the least squares regression line. fo1 80- 52 504 40 3 30 24 19 18- 12 12 22 300 316 19 54 18 5 18 UN 30 18 54 60
Could someone help me out with this
Hey! It's me again! You told me to answer this, so I will deliver ☺
Answer:
15/21
Step-by-step Explanation:
Because 1/3 and 2/7 do not have the same denominator, we will have to multiply them to get one that they'll both share.
In this case, you multiply both denominators, 3 and 7, to get 21.
We do the same with the numerators, but in a different way.
We're gonna multiply the numerators by the OTHER fractions' denominators this time. So, we do this:
1 x 7 = 7
2 x 3 = 6
We end up getting these fractions:
7/21
6/21
And now, we just subtract 6 from 21, to get 15.
And you get 15/21.
I hope I helped you, and a "Brainliest" is always appreciated! ☺
There are 12 donuts in a dozen. You are allowed to eat 2. How many different combinations of donuts could
you eat?
Answer:
Step-by-step explanation:
Can someone answer quick I really need help.
Gary can raise his credit score by ________.
A
never borrowing money
B
keeping his debt above 30% of his credit card limit
C
cutting up his credit card
D
paying his bills on time
Answer:
B keeping his debt above 30% of his credit card limit.
Can someone help ASAP ill give you good rating
Answer: radius is is 12.
Step-by-step explanation:
Explanation: A circle with equation of the form x2+y2=r2 will have radius r=√144=12 .
Sorry, I'm not sure on the bottom part
We know,
The general equation for circle is –
[tex] { \boxed{\bf{\rm \red {(x \: - \: a)² \: + \: (y \: - \: b)² \: = \: r²}}}} [/tex]
[tex] \bf (a, \: b) \: = \: center \: coordinates [/tex]
[tex] \bf r \: = \: radius [/tex]
[tex] \bf a \: = \: 0 \: , \: b \: = \: 0 \: , \: r \: = \sqrt{144} \: = \: 12 [/tex]
[tex] \bf Center \: coordinates \: = \: (0, \: 0) [/tex] [Answer]
[tex] \bf Radius \: = \: 12 [/tex] [Answer]
__________________________________________________
NOTE – Refer the above attachment.
__________________________________________________
b. Canada had about
as many total medals as Australia
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: The united states has the most metals out of all of the countries.
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
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This scatter plot show the relationship between the temperature and amount of sales at a store. The line of best fit is shown on the graph.
a. The y-intercept of the estimated line of best fit is at (0,b). Enter the approximate value of b. Round your estimate to the nearest whole number.
b. Enter the approximate slope of the estimated line of best fit in the second box.
Answer:
a) b ≈ 100
b) m ≈ 30
Step-by-step explanation:
A little help thank u have a nice day :)
Write the number two and a half million in figures?
Answer:
2,500,000
Step-by-step explanation:
here's the answer
have a great day or night
In circle P with MLNRQ =60, find the mLNPQ