Answers
Answer:
q=13
Step-by-step explanation:
(8q-5)°+81°=180° (angles on a str line)
8q-5+81=180
8q=180+5-81
=104
q=104÷8
=13
Using supplementary angle theorem
[tex]\\ \sf\longmapsto 8q-5+81=180[/tex]
[tex]\\ \sf\longmapsto 8q+76=180[/tex]
[tex]\\ \sf\longmapsto 8q=104[/tex]
[tex]\\ \sf\longmapsto q=13[/tex]
Related Questions
Find the number of ways all 9 letters of the word EVERGREEN can be arranged if (i) there are no restrictions, (ii) the first letter is R and the last letter is G, (iii) the Es are all together. Three letters from the 9 letters of the word EVERGREEN are selected. (iv) Find the number of selections which contain no Es and exactly 1 R. (v) Find the number of selections which contain no Es.
Answers
The word EVERGREEN can be arranged in the following manner.
What is Arrangement?The number of possible arrangements or orders for a set of items is known as an arrangement number, also known as a permutation number or just a permutation.
Step 1: When there are no restrictionsThe letter EVERGREEN has 9 letter. So, the total arrangements will be 9!.
But letter 'E', 'R' are repeating 4 times and 2 times respectively.
Thus, total arrangements becomes 9!/(4!×2!) = 7560.
Step 2: When the first letter is R and the last letter is GAs, first and last letter are fixed for R and g respectively.
Thus the total positions left are 7! with 'E', 'R' are repeating 4 times and 2 times respectively.
Thus, total arrangements becomes 7!/(4!×2!) = 105.
Step 3: When the Es are all together. Three letters from the 9 letters of the word EVERGREEN are selected.The total combination for arrangement is 7560.
But when all 4 E's are kept together its gives 4! = 24.
Therefore, the total combination becomes 7560×120 = 181440.
Step 4: When the number of selections which contain no Es and exactly 1 R.As, no E and 1 R is not to be taken which left 5 positions with no repetitions of letter
Thus, the total combination becomes 4! = 24.
Step 5: The number of selections which contain no Es.The total letter left after the removal of all 4 E's is 5 with times repetition of R.
Therefore, the total combination will be 5!/2! = 60.
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Two numbers are in the ratio 7:10 If the larger number is 140,what is the smaller number
Answers
Given that nos. are in ratio 7:10
The larger no. is 140
Let the smaller no. be x
Using ratio and proportion
7 : 10 :: x : 140
⇒10 × x = 140 × 7
[tex]⇒x = \frac{140 \times 7}{10} = 98 \\ [/tex]
- BRAINLIEST ANSWERER
Answer:
[tex] \frac{7}{10 } = \frac{x}{140} [/tex]
[tex] \frac{7 \times 140}{10 \times x} [/tex]
[tex] \frac{980}{10} [/tex]
[tex]98[/tex]
ANSWER IS 98
98 IS THE SMALLEST NUMBERyou have 12 pets and 2 die every 1 and half years how many are left
Answers
Answer; 0 ,2?
Step-by-step explanation:
im not so sure tbh its a lil confusing dont they tell how many years its been?
Write the prime factorization of 185.
Answers
Answer:
5 ⋅ 37
Step-by-step explanation:
185 has factors of 5 and 37.
Answer:
Step-by-step explanation:
All Factors of 185: 1, 5, 37 and 185.
Negative Factors of 185: -1, -5, -37 and -185.
Prime Factors of 185: 5, 37.
Prime Factorization of 185: 5^1× 37^1
Sum of Factors of 185: 228.
Kinetic energy is described as. The answers are elastic. movement. Decreasing energy. Stored energy.
Answers
Answer:
c
Step-by-step explanation:
Help help me help help
Answers
1. A bag contains red apples and yellow apples. The ratio of red apples to yellow apples in the bag is 9 to 4. How many apples are yellow.
Answers
Answer:
?
Step-by-step explanation:
You can’t know that, because you don’t know how many total apples there are.
Kevin has copays of $30 per office visit, $150 emergency room without
hospitalization and $250 for hospitalization. He had to go to a physician's office 5 times
this year and went to the ER once with no hospitalization. His medical bills totaled
$2,826. How much did Kevin save by being insured? Make sure you show your
calculations!
Answers
Answer:
$2526
Step-by-step explanation:
Kevin had copays of 5 × $30 for the office visits and $150 for the ER visit. His total copay was ...
5×$30 +150 = $150 +150 = $300 . . . . amount Kevin paid
If his bills were $2826, his savings were
$2826 -300 = $2526
Kevin saved $2526 by being insured.
Fluffy the bunny ate 1 4 of a carrot in the morning, and he ate some more at night. By the end of the day, he still had 1 3 of the carrot left to eat. How much of the carrot did Fluffy the bunny eat at night?
Answers
Answer:
She ate 5/12 of carrot hope it's help
Azad wants to Buy a book he has 25,000 dinars which is 9000 dinars less than she needs does the book cost 34,000 Dinars or 16,000 dinars
Answers
Answer: 34,000 Dinars
Step-by-step explanation: As 25,000 + 9000 is 34,000
Can somebody answer this for me?
Answers
standard equation: y-y1 = m(x-x1)
point given: (6,3)
slope given: 5/3
equation: y-3 = 5/3(x-6)
choice b
Given: passes though (6,3) and m=(5/3).
Ok so we know that y = mx + b is the equation of a line and we have m and we can find b via substitution.
y = mx + b
3 = (5/3)(6) + b
3 - (5/3)(6) = b
b = -7
Great now we know b so we can construct the rest of the linear function.
y = f(x) = (5/3)(x) - 7
You can always check the answer by plugging 6 into the x variable.
f(6) = (5/3)(6) - 7 = 3
(6,3) checks out.
Enter values to write the function that matches the graph shown.
Answers
Answer:
Step-by-step explanation:
The curve crosses the x axis (has zeros) at -1 and -4
Therefore it has factors of (x + 1) and (x + 4) and possibly a constant factor C
y = C(x + 1)(x + 4)
plug in the known y intercept
16 = C(0 + 1)(0 + 4)
16 = 4C
C = 4
as they are looking for two factors and one is give as (x + 1), the other must be C(x + 4) = 4(x + 4) = 4x + 16
Suppose that $50,000 is invested at 9% interest. Find the amount of money in the account after 8 years if the interest is compounded annually.
Answers
Answer:
50,000(1+0.09)^8
50000(1.99256)
A=99,628.13
A man is 32 years older than his son ten year ago he was three times as old as his son was then find the present age of each?
Answers
Answer:
son 26 age
Father 58 age .........
The fourthgrade students are taking a field trip and need to rent minivans Each minivan will to 8 people There are 135 people going on the trip. How many people will not be able to go if they only rent 16 minivans?
(A) 6 people
(B) 7 people
(C) 8 people
(D) 9 people
Answers
Use set builder notation to write the set E= {1, 3, 9, 27}
PLEASE NO SPAMMING I NEED AN ANSWER NOW
Answers
Answer:
E = { x | x = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3 }Step-by-step explanation:
Given set:
E = {1, 3, 9, 27}We observe that:
1 = 3⁰, 3 = 3¹, 9 = 3², 27 = 3³Each term can be shown as 3ⁿ, where n is natural number between 0 and 3.
Set builder notation:
E = { x | x = 3ⁿ, n ∈ N, and 0 ≤ n ≤ 3 }Here let's observe
1=3^03=3^19=3^227=3^3So set builder form:-
[tex]\\ \sf\longmapsto E=\{x|x=3^n,n\in N,0\leqslant n\leqslant 3\}[/tex]
What is 2346 to the power of 3?
Answers
Answer:
12911717736
Step-by-step explanation:
"236" to the power of 3 is the same thing as multiply 236 by itself 3 times.
236 · 236 · 236 55696 · 236 12911717736Therefore, the answer is 12911717736.
Answer:
12911717736
Step-by-step explanation:
You're basically multiplying 2346 by itself 3 times which is why you get 12911717736
Find the median salary of nurses in Illinois : $72500, $52000 , $88500 , $73300 , $112000
Answers
Answer:
the correct answer is $74,560 but since that's not declared go with 73300
A study found that 85% of sports business executives surveyed believed that sponsor development of ________ in new venues will be a benefit of top-tier sponsorships in coming years.
Answers
They estimate that their current fridge (older) which they got for free cost them $19 a month in electricity charges to operate
Answers
Answer:
That's an expensive a ss refrigerator It's time to choose an energy star refrigerator that's only going to cost them about $2.90 per month. in about 32 months paying $19 a month they would have paid for an energy star refrigerator. if they keep that same refrigerator they would be buying a brand new refrigerator every 32 months. spending the 600 dollars now for a new refrigerator would save them $16.10 per month. The savings would pay for that same refrigerator in about 38 months.
Activity 1: Directions: Convert the following to the indicated unit of measures. 1. 4 gal. = _________quarts 2. 1,400 feet = ______miles 3. 16 hours = _______ min 4. 16 cups = ______pints 5. 1.6 miles = _______ yards
Answers
The conversion of the following values to their desired units are as follows:
4 gal = 16 quarts1400 feet = 0.2651516 miles 16 hours = 960 mins16 cups = 8 pints1.6 miles = 2816 yardsThe dimension analysis shows the relation of different physical quantities by converting them from one unit to another.
According to the standard conversion rates:
1 gallon (gal) = 4 quarts1 foot = 0.000189394 mile1 hour = 60 minutes1 cup = 0.5 pints1 mile = 1760 yards∴
1.4 gallons will be:
= (4 gal × 4 quarts)/1 gal
= 16 quarts
2.
1400 feet will be:
= (1400 foot × 0.000189394 miles)/ 1 foot
= 0.2651516 miles
3.16 hours will be:
= (16 hours × 60 mins)/ 1 hour
= 960 mins
4.
16 cups will be:
= (16 cups × 0.5 pints)/1 cup
= 8 pints
5.1.6 miles will be:
= (1.6 miles × 1760 yards)/ 1 mile
= 2816 yards
Learn more about conversion rates here:
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Evaluate x? - x + 8 for x = -2.
=
Answers
Answer:
tan
(
x
)
,
x
=
−
π
3
x
+
2
y
+
z
x
+
y
+
z
,
x
=
2
,
y
=
3
,
z
=
1
csc
(
x
)
,
x
=
π
Answer:
6
Step-by-step explanation:
X+8 first substitute x
-2+8 solve
=6
Look at UVZ and WVZ in the image below.
Which of the following is the best description for this pair of angles?
A) supplementary
B) acute
C) straight
D) complementary
Answers
Answer:
A Supplementery
Step-by-step explanation:
they show on usa test prep
The best description for the given pair of angles is supplementary as shown in the figure. which is the correct answer would be an option (A).
What are supplementary angles?Supplementary angles are two angles that add up to 180 degrees. In other words, if you have two angles and you add their measures together, the sum will be 180 degrees if the angles are supplementary.
For example, consider the following pair of angles:
Angle A measures 80 degrees.
Angle B measures 100 degrees.
The sum of the measures of these two angles is 80 + 100 = 180 degrees, so angle A and angle B are supplementary angles.
As per the given figure, we have two angles UVZ and WVZ
As indicated in the image, the best description for the given pair of angles is supplementary.
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There are 10 board members on the Community Arts Council. In how many ways can a president and treasurer be chosen
Answers
Answer:
45
Step-by-step explanation:
This is a combination question: how many ways can you pick 2 people from a group of 10?
Using the notation C(10, 2) for the number of combinations of 10 things chosen 2 at a time...
[tex]C(10, 2)=\frac{10!}{2!(10-2)!}=\frac{10!}{2!\cdot 8!}=\frac{10\cdot 9}{2\cdot 1}=45[/tex]
what is 2x-4y=12 x-3y=10
Answers
Answer:
(x,y) = (5/21, -50/21)
Step-by-step explanation:
You have a summer job that pays time and a half for overtime. That means if you work more than 40
hours in a week, your hourly wage for the extra hours is 1.5 times your rate of $12 per hour.
Write a piecewise function describing your weekly pay, P, in terms of the number of hours worked, h.
How much will you get payed if you work 47 hours?
Answers
Answer:
$522
Step-by-step explanation:
Suppose that Y and Z are points on the number line.
If YZ=8 and Z lies at 5, where could Y be located?
If there is more than one location, separate them with commas.
Location(s) of Y :
Answers
9514 1404 393
Answer:
-3, 13
Step-by-step explanation:
8 units to the left of 5 on the number line is 5-8 = -3.
8 units to the right of 5 on the number line is 5+8 = 13.
The possible locations of Y are -3 or 13.
Saima mixes jam, sugar and soft cheese in the ratio 4:1:16 She uses 32 oz of soft cheese. Saima knows that 1 oz is 28.3 grams.
How many grams of jam does Saima need?
Answers
Step-by-step explanation:
jam : sugar : cheese = 4 : 1 : 16
that means she uses 4 times more jam than sugar, and 16 times more cheese than sugar (and therefore 4 times more cheese than jam).
so, now we know, she uses 32 oz of cheese.
that is (as we just determined) 4 times more than jam.
therefore, she uses
32/4 = 8 oz of jam.
1 oz = 28.3 grams
so, 8 oz are
8 × 28.3 = 226.4 grams
The sum of two numbers is 15 and the difference is 4. Let the two numbers be x and y.
Write down a pair of simultaneous equations involving x and y. Solve the equations.
Answers
Answer:
x=9.5 and y=5.5
Step-by-step explanation:
x+y=15
x-y=4
add
2x=19
x=9.5
y=15-9.5
y=5.5
x=9.5 and y=5.5
True or False?
The graph of the exponential function f(x) = a*, a>0, a #1, has no x-intercept.
Answers
Answer:
sorry! unfortunately I don't know the answer
MAke me brainleist please
Hope it helps