Answers
Answer:
x = 30
Step-by-step explanation:
Given is an irregular pentagon.
The sum of the exterior angles of an irregular polygon equals 360 degrees.
Therefore,
x° + 2x° + 2x° + 4x° + 3x° = 360°
12x° = 360°
12x = 360
x = 360/12
x = 30
Related Questions
State whether the triangles are similar. If so, write a similarity statement and the postulate or theorem you used. The diagram is not drawn to scale.
Answers
Givn : OK = 3, OJ = 30, KN = 1, JM = 3
ON=OK+KN=3+1=4
OM=OJ+JM=30+10=40
In triangles OKJ & ONM,
OKOJ=330=110
ONOM=440=110
Angle O is common in both the triangles.
Two sides are in same proportion and the included angle is common (SAS) . Hence both the triangles are similar.
That means KJNM=110 or the two sides are parallel.
Hence ˆK=ˆN,ˆJ=ˆM corresponding angles.
Two sides in each triangle that are proportional to each other, and a corresponding included angle in both triangles that are congruent, both triangles are similar.
The similarity statement is: [tex]\triangle NOM \sim \triangle KOJ[/tex]Theorem: Side-Angle-Side Similarity Theorem (SAS)Recall:
Two triangles can be proven to be similar by the SAS Similarity Theorem, if they both have two pairs of corresponding side lengths that are proportional to each other and also have a corresponding included angle that is congruent to each other.
Using the image given, let's determine if two of the given side lengths of each triangle are proportional to each other.
Given:
OJ = 30OM = 30 + 10 = 40OK = 3ON = 3 + 1 = 4Thus:[tex]\frac{OM}{OJ} = \frac{ON}{OK}[/tex]
Substitute[tex]\frac{40}{30} = \frac{4}{3}[/tex] (proportional)
Also, <NOM and <KOJ are congruent to each other (included angles).
Therefore, since we have two sides in each triangle that are proportional to each other, and a corresponding included angle in both triangles that are congruent, both triangles are similar.
The similarity statement is: [tex]\triangle NOM \sim \triangle KOJ[/tex]
Theorem: Side-Angle-Side Similarity Theorem (SAS)
Learn more here:
https://brainly.com/question/11361067
Can somebody please help me
Answers
Answer:
given :
y= 3x,
-3x-y = -24.
now just substitute the values
since y = 3x,
-3x-3x = -24
How many miles did Jayne travel in 4 hours
Answers
Answer:
20
Step-by-step explanation:
PLEASE HURRY! Which image shows the correct position of M (-4,3) I REALLY NEED HELP!!!!
Answers
Answer:
I can't see all the options but just go horizontally to the left 4 then vertically 3 up
.Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A triangle has 2 congruent sides. The angle between the 2 congruent sides is labeled x. The angles opposite of the 2 congruent sides each measure 65 degrees.
Find the measure of x in the triangle. Show all your work.
Answers
Answer:
Sum of all angles of a triangle is 180
so we can have our equation as-
65+65+x=180
x=180-130
x=50
Hope it helps
What should be done first to simplify: 16 ÷ 8 • 4 ÷ 8 • 2
Answers
Answer:
16/8-4/8*2=2
Step-by-step explanation:
first solve 3/4 x 4 using repeated addition
Then, solve 4 x 3/4 using multiplication and division..
Hint: the answer should be the same for both.
Will give brainliest and 5 stars with thanks when two answers are there,
because I need 2 answers for brainliest. So please help asap!!!
Answers
Answer:
The answer is 3
Step-by-step explanation:
3/4x4 =3
4 x 3/4 = 3
All you are doing is reducing the numbers with the greatest common factor which is the number 4.
A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of 23$. Option B is a commission rate of 4% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?
Answers
Step-by-step explanation:
A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of 23$. Option B is a commission rate of 4% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of 23$. Option B is a commission rate of 4% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?A salesperson works 40 hours per week at a job where she has two options for being paid. Option A is an hourly wage of 23$. Option B is a commission rate of 4% on weekly sales. How much does she need to sell this week to earn the same amount with the two options?Answer:
Your answer is
She needs to sell products of 23000$ to earn the same amount
Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.
I need that urgently.
Help&EXPLAIN
Don’t use for points or I’ll take it back and report
Answers
Answer:
its 136
Step-by-step explanation:
we know that all angles add to 180. 46+90+x=180. Isolate the varaible x must equal 44. We know that straight lines equal to 180. 180-44 equals to 136
What is the quotient? (9b2 – 3b) ÷ b
9b – 3
9b3 – 3b2
6b
9b2 – 3
Answers
Answer:
the answer is
9b²-3b
Step-by-step explanation:
9b-3
Answer: 9b-3
Step-by-step explanation:
Alexandra needs to rent a car while on vacation. The rental company charges $17.95, plus 15 cents for each mile driven. If Alexandra only has $50 to spend on the car rental, what is the maximum number of miles she can drive?
Answers
Answer: 213 2/3 miles
Step-by-step explanation:
first we need to set up an equation to solve
let your equation be in y=mx+b form since we are using a rate
Since this is a word problem, dissect it and match each part with a variable in the slope-intercept equation
y = Budget
m = rate
x = how many miles she can go -- the unknown variable
b = the initial fee
Your equation should be: 50 = 0.15x + 17.95
We want to soIve for x now so first get rid of the coefficient not attached to it
To do this, you do the inverse function of addition, which is subtraction
Subtract 17.95 from both sides
Your new equation will be: 32.05 = 0.15x
0.15 is still attached to x, so we want to do the inverse function of multiplication, which is division
divide both sides by 0.15
Your final answer: 213 2/3 miles
Geometry Help!
Please only answer if you know the answer. Look at the image below to answer the question.
Be sure to show all of your work and explain your thinking.
I posted 3 of these, so if you understand it, please go and check them out.
If you do not know the answer use the comment section, don't answer my question with a comment. Thanks, Good Luck!
Answers
Answer:
x = 8.8Step-by-step explanation:
To solve this you need the Law of sines
sin A / a = sin B / b = sin C / ca, b, c are the sides opposite to angles A, B and C respectively
Applied to the given triangle we have one side given, the opposite angle to be found.
sin 28 / x = sin (180 - 28 - 126) / 8.2sin 28 / x = sin 26 / 8.2x = 8.2 sin 28 / sin 26x = 8.8 (rounded)Calcula.a) 0,4 : 0,84 b) 0,7 : 1,4 c) 0,8 : 1,25d) 2 : 5,4 e) 3,2 : 8,36 f ) 3,654 : 6,3
Answers
Answer:
a) [tex]\frac{10}{21}[/tex]
b) [tex]\frac{1}{2}[/tex]
c) [tex]\frac{16}{25}[/tex]
d) [tex]\frac{10}{27}[/tex]
e) [tex]\frac{80}{209}[/tex]
f) [tex]\frac{29}{50}[/tex]
Step-by-step explanation:
Ratio means to divide in simple terms, therefore you divide each value by the other.
Question 6 of 10
If f (x)
(3+x)
(x-3)
what is f(a+ 2)?
A.
3+ f(a+2)
f(a)-1
B.
(5+ a)
(a - 1
(3 + a)+2
(a-3)
Answers
Answer:
♥️♥️♥️
3434
Step-by-step explanation:
sana makatulong
PLEASE HELP!
How much is 1/3 of Rs.30 ? _
Answers
Answer:
[tex]\frac{1}{3}\ of\ Rs.30 = Rs.10[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{3}\ of\ Rs.30[/tex]
Required
Solve
of means *. So, we have:
[tex]\frac{1}{3}\ of\ Rs.30 = \frac{1}{3}\ *\ Rs.30[/tex]
[tex]\frac{1}{3}\ of\ Rs.30 = \frac{1\ *\ Rs.30}{3}[/tex]
[tex]\frac{1}{3}\ of\ Rs.30 = \frac{Rs.30}{3}[/tex]
[tex]\frac{1}{3}\ of\ Rs.30 = Rs.10[/tex]
Question Help In 2005, it took 20.29 currency units to equal the value of 1 currency unit in 1917. In 1990, it took only 13.10 currency units to equal the value of 1 currency unit in 1917 The amount it takes to equal the value of 1 currency unit in 1917 can be estimated by the linear function V given by V(x) = 0.4925x + 13.7485 where x is the number of years since 1990 Thus, V(11) gives the amount it took in 2001 to equal the value of 1 currency unit in 1917. Complete parts (a) and (b) below a) Use this function to predict the amount it will take in 2011 and in 2019 to equal the value of 1 currency unit in 1917
Answers
Answer:
The amount it took in 2011 to equal the value of 1 currency unit in 1917 was of 24.091 currency units.
The amount it took in 2019 to equal the value of 1 currency unit in 1917 was of 28.031 currency units.
Step-by-step explanation:
The value needed to equal the value of 1 currency unit in 1917, in x years after 1990, is given by:
[tex]V(x) = 0.4925x + 13.7485[/tex]
a) Use this function to predict the amount it will take in 2011 and in 2019 to equal the value of 1 currency unit in 1917
2011 is 2011 - 1990 = 21 years after 1990, so we have to find V(21).
[tex]V(21) = 0.4925*21 + 13.7485 = 24.091[/tex]
The amount it took in 2011 to equal the value of 1 currency unit in 1917 was of 24.091 currency units.
2019 - 1990 = 29, so we also to find V(29).
[tex]V(29) = 0.4925*29 + 13.7485 = 28.031[/tex]
The amount it took in 2019 to equal the value of 1 currency unit in 1917 was of 28.031 currency units.
2) (EFO8MA12) Se 250 gramas de azeitonas custam 4,60.qual será o preço de de quilo de
azeitona?
a) R$ 9,20
b) R$ 10,60
c) R$ 12,80
d) R$ 13,80
Answers
Answer:
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Which property is used to rewrite the expression?
2(x - y) + x - 2 = 2x - 2y + x - 2
associative
distributive
commutative
O multiplicative identity
Answers
Answer:
it is a distributive property
3(x — 2) — 4 (2x + 5) = 24
Answers
Answer:
-10
Step-by-step explanation:
3x-6-8x-20=24
-5x-26=24
-5x=50
x=-10
What is the x value in the figure
Answers
9514 1404 393
Answer:
x = 9y = 12Step-by-step explanation:
The angle marked 5x° is one of two acute angles in an isosceles right triangle, so is 45°.
5x° = 45°
x = 9 . . . . . . . divide by 5°
__
The side lengths are equal, so ...
7y -9 = 5y +15
2y = 24 . . . . . . . . add 9-5y
y = 12 . . . . . . . . . .divide by 2
Considering the expression x/2 + y2. Which statements are true?Mark all that apply.
A.When x=4 and y=9,the value of the expression is 37.
B.When x=12 and y= -5,the value of the expression is 61
C.When x=6 and y=7,the value of the expression is 61
D.When x=8 and y= -10, the value of the expression is 104
Plz give me a step by step explanation
Answers
Answer:
D. 8/2 +(-10)² = 104
Step-by-step explanation:
To find which statements are true, evaluate the expression for the given variable values. You do this by putting the numbers in place of the respective variables, then doing the arithmetic.
The respective expression values are ...
A 83 ≠ 37 . . . . (4/2) +9² = 2 +81 = 83
B 31 ≠ 61
C 52 ≠ 61
D 104 =104 . . . . true statement
__
I find it less tedious to write a function into a calculator or spreadsheet and let it do the repetitive math. Examples of the calculation are shown above.
Which expression is equivalent to -9(-2g - 4)+8
Answers
Answer:
10g
Step-by-step explanation:
add 8g,4g and -2g to get 10g
add 2 and -2 to receive 0
the simplified expression would be 10g
Answer: 18g+44
Step-by-step explanation:
(18g+36)+8
18g +44
2/3 X 12 for simplest form
Answers
Answer:
yufcyiciygciykgc, nbhgcv
Step-by-step explanation:
98yfgouyfuchkgcbvkhgcihdiytdiytditdytdiytdityghvhgcxdfsrtyuhkjbhcgfdxzsaewrsdxfhgyujkhjmnb cvngfjkhji
Answer:
2/3 x 12 = 8/x
8x
Write an equation. Let x be the unknown number.
Subtract four times a number from 14 is negative 3.
Answers
4x - 14= -3
hope this helps! (:
Answer:
14 - 4x = -3
Step-by-step explanation:
Hope this helps. B)
Does anyone know what this is!? Or have got this question too please help me:(
Answers
NEED HELP QUICK!!
A rectangle is graphed on the coordinate grid.
On a coordinate plane, side p has points (1, 4) and (3, 6), side q has points (3, 6) and (6, 3), side r has points (4, 1) and (6, 3), and side s has points (4, 1) and (1, 4).
Which represents the equation of the side that is parallel to side s?
y = negative x + 9
y = negative x minus 3
y = x + 9
y = x minus 3
Answers
Answer:
Y = negative x + 9
Step-by-step explanation:
Find the equation of the line for side S-
m= 4-1/1-4 = 3/-3 = -1
The Gradient is -1
Since parallel lines share the same gradient, it should be either of the first two options.
We can see side Q shares the same gradient: 3-6/6-3= -1
Find the equation of the line of side Q-
y-y1= m(x-x1)
y-6= -1(x-3)
y-6=-x+3
y= -x+9
Answer:
a
Step-by-step explanation:
can anyone help me out ?
Answers
no se pero de seguro alguien más te ayudará
You would like to have $41,000 in 5 years for the down payment on a new house
following college graduation by making deposits at the end of every three months in
an annuity that pays 4.25% compounded quarterly. How much should you deposit at
the end of every three months? How much of the $41,000 comes from deposits and
how much comes from interest?
Answers
Answer:
a. You are looking for an annuity that will give $41,000 in 5 years with a quarterly compounding rate of 4.25%.
Convert periods and interest to quarterly rate.
Period = 5 * 4 = 20 quarters
Interest = 4.25 / 4 = 1.0625%
41,000 = Annuity * ( [ 1 + i ] ^n - 1 )/i
41,000 = Annuity * ( [ 1 + 1.0625%]²⁰ - 1) / 1.0625%
41,000 = Annuity * 22.1534596596
Annuity = 41,000 / 22.1534596596
= $1,851
b. There were 20 payments of $1,851 made which totals:
= 1,851 * 20
Cash from deposits = $37,020
Cash from interest = 41,000 - 37,020 = $3,980
Shaneen has $30 to spend on CDs that each cost $10. She wants to calculate n, the number of CDs she can buy with her $30. Which inequality represents the maximum number of CDs she can buy?
Answers
Answer:
[tex]10n \le 30[/tex]
[tex]n \le 3[/tex]
Step-by-step explanation:
Given
[tex]Total = \$30[/tex]
[tex]Cost (each) = \$10[/tex]
Required
Determine the inequality
Assume she wants to buy n CDs.
If 1 CD costs $10, then n CDs costs 10n.
So, the inequality is:
[tex]10n \le 30[/tex]
We used [tex]\le[/tex] because the amount she wants to spend cannot exceed 30
Divide both sides by 10, to solve for n
[tex]n \le 3[/tex]
The graph below shows carters weight each week since he started his diet write an equation for the line of best fit
Answers
Answer:
ŷ = -1.618X + 215.636
191
Step-by-step explanation:
From the graph:
The data below could be obtained to produce the best fit line :
Week, x :
0
1
2
3
4
5
6
7
8
9
10
Weight :
216
214
213
210
210
207
206
202
203
202
200
Using a linear regression calculator. The best fit line obtained is :
ŷ = -1.618X + 215.636 ; which shows decrease in weight has the number of weeks grow.
Carters weight 15 Weeks into his diet :
X = 15
ŷ = -1.618(15) + 215.636
= 191.366
= 191 (nearest whole number)