Answers
Answer:
5
Step-by-step explanation:
Use the Exterior Angle Theorem.
The E.A.T states that the measurement of an exterior angle is found by adding the two opposite and non-adjacent interior angles.
In this case, the Exterior Angle is 121. The sum can be found by combining 17x - 4 and 8x. Set the equation:
17x - 4 + 8x = 121
First, combine like terms:
17x + 8x - 4 = 121
(17x + 8x) - 4 = 121
(25x) - 4 = 121
Next, Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 4 to both sides of the equation:
25x - 4 (+4) = 121 (+4)
25x = 121 + 4
25x = 125
Next, divide 25 from both sides:
(25x)/25 = (125)/25
x = 125/25
x = 5
5 is your value for x.
~
Related Questions
0.005 is 1/10 of 0.05 true or false
Answers
Answer:
i got 1/2000
Step-by-step explanation:
11. In the figure, AC = 24 and AB = BC. Point D (not shown) is on the line between A and B such that AD = DB.
What does DC equal?
Answers
Answer with step-by-step explanation:
If AD = DB, then D would be the midpoint of AB. If AB = BC, then B would be the midpoint of AC. If so, lets add another point called E. E is the midpoint of BC, which would divide AC into fourths. DC = DB + BE + EC. So, DC is 3/4 of 24, which is 18.
Hope this was helpful!
Ida purchases a variety bag of taffy to share with her friends. The bag contains pieces with the flavors of blueberry, strawberry, and lemon. Ida wants to know how many pieces of each flavor are in the bag. She pulls 25 pieces from the bag at random and records their flavor. Her results are shown in the following table.
A: Given the results of Ida’s experiment, what is the probability that the next piece of taffy she pulls from the bag will be lemon-flavored?
B: If the bag contains a total of 200 pieces of taffy, how many of the pieces are likely lemon-flavored?
Select one answer for question A and one answer for question B.
(Table Below)
Flavor Count
blueberry 8
strawberry 5
lemon 12
Possible Answers:
A: 8/25
A: 12/25
A: 13/25
A: 3/5
B: 96 pieces
B: 40 pieces
B: 64 pieces
B: 100 pieces
Answers
Answer:
A. 12/25
B. 96 pieces
Step-by-step explanation:
A. For this, Ida got 12/25 lemon taffies, therefore the probability is the same.
B. The ratio of lemon to other taffies is 12/25. This means that for every 25 pieces of taffy, 12 of them are lemmon. If you multiply the numerator and denominator by 8, you get 96/200, which says that out of 200 pieces, 96 should be candy.
A crew of highway workers paved1/4 mile in1//6 a hour. If they work at the same rate, how much will they pave in one hour?
Answers
Answer:
1 1/2 mile
Step-by-step explanation:
In 1 hour they pave 6 times more what they paved in 1/6 of an hour.
6 * 1/4 mile = 6/4 mile = 3/2 mile = 1 1/2 mile
List the factors of 48
Answers
-1, -2, -3, -4, -6, -8, -12, -16, -24, and -48
which is an example of a non-renewable resorce?
Answers
Answer: Fossil Fuels such as coal and oil
Step-by-step explanation:
How many solutions are there to the equation below
7(x+2) = 7x-10
Answers
Answer: {No Solution}
Step-by-step explanation:
170% of what is 166?
Answers
Answer:
97.65
Step-by-step explanation:
97.65
Step-by-step explanation
Rectangle A measures 8 inches by 4 inches. Rectangle B is a scaled copy
of Rectangle A and is multiplied by the scale factor 7. What are the
dimensions of Rectangle B?
Answers
It’s pretty easy you just multiply 8 by 7 and 4 by 7.
A fair coin is tossed three times. What is the probability of obtaining one Head and two Tails?(A fair coin is one that is not loaded, so there is an equal chance of it landing Heads up or Tails up.) *
1/4
3/8
5/8
1/3
Answers
Parking on campus is often expensive, and it is tempting to park illegally and take your chances on getting a ticket. From past experience, the probability of getting a ticket is about 0.30 on any given day, and because you always change your parking location, each day's outcome is independent of the previous day's outcome. The probability that you will NOT get a ticket on two days is
Answers
Answer:
P(not getting a ticket for 2 days) = 0.49
Step-by-step explanation:
We are told that the probability of getting a ticket on any given day is 0.3.
Thus;
P(getting a ticket a day) = 0.3
This means that;
P(not getting a ticket a day) = 1 - 0.3 = 0.7
Now, 0.7 is probability of not getting a ticket for 1 day. Since each day's outcome is independent of the previous day's outcome, it means that for n days, probability of not getting a ticket for n days will be;
P(not getting a ticket for n days) = 0.7ⁿ
For 2 days, its = 0.7² = 0.49
Thus;
P(not getting a ticket for 2 days) = 0.49
Roy made a scale drawing of a neighborhood park. He used the scale 1 millimeter : 9 meters.
The volleyball court is 2 millimeters in the drawing. How long is the actual volleyball court?
Answers
Answer: 18
Step-by-step explanation:
The scale says 1 mm : 9 m, so if the volley ball court is 2 mm then multiply by 9 to get it in meters. It would give you 18 m.
Please help me out! Help me please! This is so important!
The ratio of girls to boys in a primary school is 4:5. If there are 24 girls, how many boys are there? Help!
Answers
Answer:
there are 30 boys
Step-by-step explanation:
If there is 24 girls you divide that by 4 and you get six so that means you multiply with six and you get 30.
A ratio of 4:5 means that for every 4 girls, there are 5 boys.
24 girls / 4 girls = 6
5 * 6 = 30 boys
There are 30 boys if there are 24 girls
1 Five friends went to the movies and each spent $5 on a ticket per movie and $2 on a bag of popcorn. They saw 2 movies. The movies also had a deal of pizza and a large bottle of soda for $12, which they split. How much did each friend pay for the movie trip and pizza?
Answers
Answer:
I think they spent altogether $72
Step-by-step explanation:
Since each person had a ticket, five friends would have $25 worth of tickets. Since they watched 2 movies, you would do 25 times 2 and get 50. Since they all had one bag of popcorn for $2, they would have to pay $10 for the popcorn. And since they had to spend $12 for the pizza and the large bottle of soda, they would've spent $72 altogether for the movie trip and the pizza. Hope this helps! Have a great day!
Z+(z-6)-2=-10
How donI solve this?
Answers
Answer:
z = -1
Step-by-step explanation:
Simplifying
z + (z + -6) + -2 = -10
Reorder the terms:
z + (-6 + z) + -2 = -10
Remove parenthesis around (-6 + z)
z + -6 + z + -2 = -10
Reorder the terms:
-6 + -2 + z + z = -10
Combine like terms: -6 + -2 = -8
-8 + z + z = -10
Combine like terms: z + z = 2z
-8 + 2z = -10
Solving
-8 + 2z = -10
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 2z = -10 + 8
Combine like terms: -8 + 8 = 0
0 + 2z = -10 + 8
2z = -10 + 8
Combine like terms: -10 + 8 = -2
2z = -2
Divide each side by '2'.
z = -1
Simplifying
z = -1
Answer:
z= -1
Step-by-step explanation:
Simplifying
z + (z + -6) + -2 = -10
Reorder the terms:
z + (-6 + z) + -2 = -10
Remove parenthesis around (-6 + z)
z + -6 + z + -2 = -10
Reorder the terms:
-6 + -2 + z + z = -10
Combine like terms: -6 + -2 = -8
-8 + z + z = -10
Combine like terms: z + z = 2z
-8 + 2z = -10
Solving
-8 + 2z = -10
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '8' to each side of the equation.
-8 + 8 + 2z = -10 + 8
Combine like terms: -8 + 8 = 0
0 + 2z = -10 + 8
2z = -10 + 8
Combine like terms: -10 + 8 = -2
2z = -2
Divide each side by '2'.
z = -1
Simplifying
z = -1
What is the value of the product (4 – 2i)(6 + 2i)?
Answers
Answer:
D
Step-by-step explanation:
Edg2020
0.05% of all tax returns filed electronically contain errors, but 20% of all tax returns filed manually contain errors. If 3.3 million tax returns are filed each way, how many more manually filed returns containing errors will there be than electronically filed returns containing errors?
a.
330,825
b.
643,500
c.
321,750
d.
658,350
Answers
Answer: d. 658,350
Step-by-step explanation: A total of 3,300,000 of tax returns are filed.
When filed electronically, 0.05% of all the returns contain errors, which means:
3,300,000 * [tex]\frac{0.05}{100}[/tex] = 1650
When filed manually, 20% contain error:
3,300,000 * 0.2 = 660000
The difference of the number of tax returns that contain error between manually and electronically filed is
660,000 - 1,650 = 658,350
There will be 658,350 tax returns filed manually more than electronically.
The number of manually filed returns containing errors will there be than electronically filed returns containing errors is: d. 658,350.
Number of manually filed return:Using this formula
Number of manually filed returns=(Tax returns filed manually contain errors×Tax return)- (Tax returns filed electronically contain errors× Tax return)
Let plug in the formula
Number of manually filed returns=(20%×3.3 million)-(0.05%×3.3 million)
Number of manually filed returns=660,000-1650
Number of manually filed returns=658,350
Inconclusion the number of manually filed returns containing errors will there be than electronically filed returns containing errors is: d. 658,350.
Learn more about number of manually filed returns here:https://brainly.com/question/1799908
Can you please simplify c5 x c
Answers
Answer:
5c^2
Step-by-step explanation:
i think c is a variable so,
5xcxc = 5c^2
my daughter need help but i cant give her help because i dont know the answer myself .
Answers
Answer:
B and D
Step-by-step explanation:
"Sliding": moving a shape without rotating or flipping it.
The shape still looks exactly the same, just in a different place.
Please help me with this problem please ;(
Answers
9514 1404 393
Answer:
-2
Step-by-step explanation:
The average rate of change on the interval [3, 9] is ...
(f(9) -f(3))/(9 -3) = (41 -53)/(9 -3) = -12/6 = -2
What were early village leaders responsible for? Choose four answers.
Ο Making laws
Ο Making punishments
Ο Trading with other villages
Ο Building permanent houses
Ο Maintaining order
Ο Settling disputes
Answers
Answer: is A,B,E,F
Step-by-step explanation:
If this is right pls like and give me 5 star, it would really help. Thank You
Which situation represents a total change in value of 0?
A) You climbed 15 feet up a tree before coming back down 15 feet,
B) You climbed 3,000 feet up a mountain and then climbed down 1,000 feet to camp.
Answers
Answer:
A) You climbed 15 feet up a tree before coming back down 15 feet
Write a rule that represents the function.
(1,1/2),(2,1/4),(3.1/8),(4,1/16),(5,1/32)
Answers
Answer:
Step-by-step explanation:
. cubesi, 20,64. AV 1,6,11,16... Add 5. 1, 2, 4, 8. . Multiply 2. $2,9,28,65... cubes add 1. 31,49,16 ...
need these asap I’m timed
Answers
Answer:
3) 8 x + 2 y + 2
4)38
5)x=2
6)y=3
Answer:
3. 8x - 2y - 2
4. 38
5. x = 2
6. y = 3
please help me with this question
Answers
Answer:
2c^2
Step-by-step explanation:
c3-c1=c2
d2-d2=0
8/4=2
Which of the following is a prime number? A 14 B 2 C 18 D 33
Answers
Answer:
B is a prime number
Step-by-step explanation:
The definition of a prime number is if the number is divisible by itself and one. 14 is divisible by 7, 18 is divisible by 6, and 33 is divisible by 11 and 3...... Only two among all these numbers has 2 factors: It is divisible by one and itself, 2.
Therefore the answer is 2!
In the picture, what is the ratio of the number of circles to the number of squares? Select your answers from the drop-down list.
Answers
Answer:
3/6 ♀️
Step-by-step explanation:
the ratio of ten more than three times a number to the square of the same number is equal to ... Write an expression for the number of circles in the Nth figure.
Answer:
7 circles and 6 squares
Step-by-step explanation:
7 to 6
Multiply: -12y(y - 6) Enter the correct answer.
Answers
(-12y x y) -(-12y x -6)
= 12y^2 +72y
Find 23÷16 . Write in simplest form
Answers
Answer:
1 17 duhhhhhh
Step-by-step explanation:
Answer:
1 1/7
Step-by-step explanation:
How much difference do a couple of weeks make for birth weight? Late‑preterm babies are born with 3434 to 3636 completed weeks of gestation. The distribution of birth weights (in grams) for late‑preterm babies is approximately ????(2750,560).N(2750,560). What is the probability that a randomly chosen late-preterm baby would have a very low birth weight, less than 15001500 grams? (Use technology and enter your answer rounded to four decimal places.)
Answers
Answer:
0.0128
Step-by-step explanation:
(Use technology and enter your answer rounded to four decimal places.)
We apply the z score formula to this question
z = (x-μ)/σ,
where x is the raw score
μ is the population mean
σ is the population standard deviation.
We are given: N(2750,560)
x = 1500 grams, μ = 2750 grams, σ = 560 grams
= z = 1500 - 2750/560
z = -2.23214
Determining the Probabilty value from Z-Table:
P(x < 1500) = P(z = -2.23214)
= 0.012803
Approximately to four decimal places = 0.0128
The probability that a randomly chosen late-preterm baby would have a very low birth weight, less than 1500 grams is 0.0128.
