Answers
5) x = 8
6) z = 49°
Step-by-step explanation:Hi there !
5)
we have opposite angles =>
5x = 2x + 24
5x - 2x = 24
3x = 24
x = 24 : 3
x = 8
6)
The sum of the three interior angles in a triangle is always 180° !
x = 180° - (28° + 39°)
= 180° - 67°
= 113°
x ; y = supplementary angles =>
x + y = 180° =>
y = 180° - x
= 180° - 113°
= 67°
z = 180° - (64° + 67°)
= 180° - 131°
= 49°
Good luck !
Related Questions
Five friends share three pizzas that cost $12.75 each. How much does each friend pay?
Answers
Answer:
each friend paid $7.65
Step-by-step explanation:
(3*12.75)/5
38.25/5
7.65
Answer:
2.25
Step-by-step explanation:
Lines b and a are intersected by line f. At the intersection of lines f and b, the bottom left angle is angle 4 and the bottom right angle is angle 3. At the intersection of lines f and a, the uppercase right angle is angle 1 and the bottom left angle is angle 2. Which set of equations is enough information to prove that lines a and b are parallel lines cut by transversal f? m∠4 = 110° and m∠3 = 70° m∠1 = 110° and m∠2 = 110° m∠1 = 110° and m∠3 = 70° m∠2 = 110° and m∠3 = 110°
Answers
Answer:
m∠1 = 110° and m∠3 = 70°
Step-by-step explanation:
The angles at the intersection of a transversal and parallel lines are supplementary angles.
The true statement is: [tex]\mathbf{\angle 1 = 110^o}[/tex] and [tex]\mathbf{\angle 3= 70}[/tex]
From the complete question, we have:
[tex]\mathbf{\angle 1 = 110^o}[/tex]Angle 1 is supplementary to angle 3This means that:
[tex]\mathbf{\angle 1 + \angle 3= 180^o}[/tex]
Substitute [tex]\mathbf{\angle 1 = 110^o}[/tex]
[tex]\mathbf{110 + \angle 3= 180^o}[/tex]
Subtract 110 from both sides
[tex]\mathbf{\angle 3= 180 - 110}[/tex]
[tex]\mathbf{\angle 3= 70}[/tex]
Hence, the true statement is: [tex]\mathbf{\angle 1 = 110^o}[/tex] and [tex]\mathbf{\angle 3= 70}[/tex]
Read more about parallel lines and transversal at:
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35=-5/8x solve for x
Answers
By going through the problem, we can find that the answer is that x=-56.
EDIT: if i'm being honest i just used a calculator to do this lol
try web2.0calc.com, its what i use
What is the solution to the equation 1/4x+2=-5/8x-5
O X=-8
O x=-7
O X= 7
O X=8
Answers
Answer:
x = -8
Step-by-step explanation:
1/4x+2=-5/8x-5
Add 5/8 x to each side
1/4x + 5/8 x+2=-5/8x + 5/8x-5
1/4x + 5/8x +2 = -5
Subtract 2 from each side
1/4x + 5/8x +2-2 = -5-2
1/4x + 5/8x = -7
Get a common denominator of 8
1/4 *2/2 x + 5/8x = -7
2/8x + 5/8x = -7
7/8x = -7
Multiply each side by 8/7
8/7 * 7/8x = -7*8/7
x = -8
Bob uses a 20 foot ladder to paint a section of his house that is 16 feet high.
-
16 ft
Ladder
20 ft
80
Ground
Select all equations that can be used to solve for 0.
sin 0
12
20
cos
12
20
12
tan 8 =
20
O sin e
16
20
cos e
16
20
Answers
Answer:
Option (2) and Option (4)
Step-by-step explanation:
From the picture attached,
Length of ladder AC = 20 feet
Height of the highest point of the ladder from ground AB = 16 ft
By Pythagoras theorem,
AC² = BC² + AB²
BC² = AC² - AB²
BC = [tex]\sqrt{(20)^2-(16)^2}[/tex]
= [tex]\sqrt{400-256}[/tex]
= [tex]\sqrt{144}[/tex]
= 12
Now, Sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}=\frac{\text{AB}}{\text{AC}}[/tex]
= [tex]\frac{16}{20}[/tex]
Cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}=\frac{\text{BC}}{\text{AC}}[/tex]
= [tex]\frac{12}{20}[/tex]
tanθ = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}=\frac{\text{AB}}{\text{BC}}[/tex]
= [tex]\frac{16}{12}[/tex]
Therefore, Option (2) and Option (4) are the correct options.
The equation that should be used is option 2 and option 4.
Calculation of the equation:Since
Length of ladder AC = 20 feet
Height of the highest point of the ladder from ground AB = 16 ft
So here we apply the Pythagoras theorem,
AC² = BC² + AB²
BC² = AC² - AB²
So,
[tex]BC = \sqrt{(20)^2 - (16)^22}\\\\ = \sqrt{400 - 256}\\\\ = \sqrt{144}[/tex]
= 12
Now
Sin θ = 16\20
Cos θ = 12\20
tan θ = 16 \12
hence, The equation that should be used is option 2 and option 4.
Learn more about an equation here: https://brainly.com/question/2611493
What is this?
Multiply.
14.3 X 6.2
Answers
Answer:
88.66
Step-by-step explanation:
14.3 * 6.2
88.66
I have a question attached pls help
Answers
Answer:
10.35oz
Step-by-step explanation:
Cuz if you do the math 16 times 14 equals 224 and 15.5 times 10 equals 155 so if you minus 155 from 224 then you have 69 square inches which you multiply by 0.15 which thus gets you the answer 10.35
you can paint 4 boxes in 30 minutes. at this rate, how many boxes can you paint in 5 hours?
Answers
The reason for this is because 30 minutes Is half a hour. So you would multiply 4 boxes in 30 minutes by 2 to make it a full hour. So now we know he/she can do 8 boxes a hour. Now we have need to know how many boxes he can do in 5 hours. So we know they can do 8 boxes a hour. Then we will multiply the 8 boxes by 5 for the 5 hours. Then we get our answer of 40 boxes. I hope this help
Compute the largest n for which 2^n is a divisor of 80!
Answers
Answer:
The largest n for which [tex]2^{n}[/tex] is a divison of 80 is 4.
Step-by-step explanation:
Numbers can be composited, that is, a product of prime numbers, or primer numbers themselves. A entire number is a divisor of another entire number if result is an entire number.
As first step we need to decompose 80 as a product of prime numbers, whose procedure is presented below:
1) [tex]80[/tex] Given
2) [tex]40\times 2[/tex] Definition of multiplication.
3) [tex]20\times 2\times 2[/tex] Definition of multiplication.
4) [tex]10\times 2\times 2\times 2[/tex] Definition of multiplication.
5) [tex]5\times 2\times 2\times 2\times 2[/tex] Definition of multiplication.
6) [tex]5\times 2^{4}[/tex] Definition of power/Result.
In a nutshell, the largest n for which [tex]2^{n}[/tex] is a divison of 80 is 4.
A professor of management has heard that seven students in his class of 49 have landed an internship for the summer. Suppose he runs into two of his students in the corridor. a. Find the probability that neither of these students has landed an internship. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.) b. Find the probability that both of these students have landed an internship. (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
Answers
Answer:
Total = 0.7321 (Approx)
Probability that both got internship = 0.0179 (Approx)
Step-by-step explanation:
1. First student not get internship = (49-7) / 49
First student not get internship = 42 / 49
Second student not get internship = (42-1) / (49-1)
Second student not get internship = 41 / 48
Total = [42 / 49][41 / 48]
Total = 0.7321 (Approx)
2. Probability that both got internship = 7C2/49C2
Probability that both got internship = (7)(6)/(49)(48)
Probability that both got internship = 0.0179 (Approx)
One month also rented 5 movies and 3 video games for a total of $31 the next month he rented 7 movies and 9 video games for a total of $71 find the rental cost for each movie and each video game
Answers
Answer:
V = 5.75, M = 0.45
Step-by-step explanation:
5M + 3V = 31
7M + 9V = 71
5M = 31 - 3V
M = (31 - 3V) / 5
7((31 - 3V) / 5) + 9V = 71
(217 - 21V)/5 + 9V = 71
43.4 - 4.2V + 9V = 71
4.8V = 27.6
V = 5.75
5M + 3(5.75) = 31
5M = 2.25
M = 0.45
You borrow 529$ from your parents to buy a mountain bike. Your parents are not charging you interest, but they want to be repaid as soon as possible. You can afford to repay them $20 per week. How long will it take you to repay your parents
Answers
Explanation: 529 divided by 20 = 26.45
Write an expression for “four less than six times a number m”
Need answer ASAP 10 due 5 min
Answers
Answer:
4-6x
Step-by-step explanation:
let the number be =x
4-6x
The mathematical expression is,
⇒ 6m - 4
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The algebraic expression is,
“four less than six times a number m”
Now,
Since, The algebraic expression is,
“four less than six times a number m”
Hence, We can formulate the mathematical expression as;
⇒ 6 × m - 4
⇒ 6m - 4
Thus, The mathematical expression is,
⇒ 6m - 4
Learn more about the mathematical expression visit:
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please help me asap
Answers
Answer:
1/125
-5.06 is less than -5.6
-1 3/4 is less than 3/4
2 3/4 is less than 2 4/6
Sorry my handwriting is so bad!!
How does the digit 5 in the number 357 compare with the digit 5 in the number 465?
A) The digit 5 in the number 357 represents 1/10 as much as the digit 5 in the number 465.
B) The digit 5 in the number 357 represents 10 times as much as it represents in the number 465.
C)The digit 5 in the number 357 represents 100 times as much as it represents in the number 465.
D)The digit 5 in the number 357 represents the same amount as it represents in the number 465.
Answers
Answer:
Option B.
Step-by-step explanation:
In this problem, we need to compare digit 5 in the number 357 with the digit 5 in the number 465.
In 357, 5 is on the tens place while in 465 5 is in the ones place.
Place value of 5 in 357 is 50 and in 465 is 5 only.
For comparison, divide 50 by 5. So,
50/5 = 10
It means that the digit 5 in the number 357 represents 10 times as much as it represents in the number 465.
XYZ, Inc. manufactures the same product in two of their plants, a Northern facility and a Southern facility. Customers who purchase from XYZ, Inc. are encouraged to return their products if they are defective. The probability that a customer returns his/her purchased product given that it was manufactured in the Southern facility is 0.15. The Southern facility produces 40% of the products. It has been recorded that 8% of the customers return their product. What is the probability that a product has been manufactured in the Southern facility if it has been returned to XYZ, Inc.
Answers
Answer: = 0.75
Step-by-step explanation:
given that;
P ( returned product / southern fac.) = 0.15
probability of being manufactured in Southern facility P(S) = 40% = 0.40
so probability of being manufactured in norther facility P(N) = 0.60
probability of product being returned =P(R) =0.08
therefore P(RnS) = P(S) * P(R|S)
= 0.40 * 0.15
= 0.06
so now the probability that a product has been manufactured in the Southern facility if it has been returned to XYZ
= P(S|R) = P(RnS)/P(R)
= 0.06 /0.08
= 0.75
please help me asap
Answers
Answer:
-.51, .1/2, .42, 11/20
Answer:
-.51
-1/2
.42
11/20
The square root of 281961?
Answers
Answer:
531
Step-by-step explanation:
Answer:
531
Step-by-step explanation:
531 x 531 = 281961
A group of veterinarians at a major veterinary hospital was interested in investigating a possible link between enteroliths (stones that form in the colon of horses) and diet. They decided to conduct a survey of the feeding practices for horses admitted to the veterinary hospital. To obtain a random sample of the 5000 horses that had been admitted to the hospital over the last 10 years, the veterinarians sequentially assigned numbers (starting with 0001) to the horses, in order of admittance. They then picked a random starting point and decided to sample every hundredth horse to get a random sample of 50 horses. This procedure corresponds to:
Answers
Answer:
Systematic Sampling
Step-by-step explanation:
The procedure corresponds to systematic sampling because Systematic sampling is a method of probability sampling whereby sample members from a larger population are selected in order of a random starting point but in a fixed, periodic interval.
Now, in the question we are told that they picked a random starting point and decided to sample every hundredth horse to get a random sample of 50 horses. Since random starting point in corresponds to Systematic Sampling.
Another reason why it's a systematic sampling is because they sampled every hundredth horse and therefore not all the samples were considered.
CAN SOMEONE HELP ME PLEASE (ASAP)
Answers
Answer:
what do you need help with
Step-by-step explanation:
For which function is 3 NOT an element of the range?
Answers
Answer:
B: y = -(-x)^2
Step-by-step explanation:
The y value will always be negative and therefor it can never be 3
The solution is Option B.
The function with equation y = - ( -x )² will not have a range of 3 because the function always returns a negative value
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
Let the equation be y = -2x + 4
when x = 1/2
y = -2 ( 1/2 ) + 4
y = -1 + 4
y = 3
So , the value of y = 3
b)
Let the equation be y = - ( - x )²
For all the values of x , the value of y will be negative
So , the value of y ≠ 3
c)
Let the equation be y = x⁵
when x = 3^ (1/5)
y = ( 3^ (1/5) )⁵
y = 3
So , the value of y = 3
d)
Let the equation be y = 3
The value of y = 3
Hence , the equation y = - ( - x )² will not have a range of 3
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The value of √ 8 is between which two integers?
a. 2 and 3
b. 3 and 4
c. 7 and 9
d. 49 amd 81
Answers
I know because sqrt(8) is between 2 and 3.
Consider the figure below.
Find the value of x.
Answers
Answer:
x = 5
Step-by-step explanation:
When two straight lines intersect, four angles are formed. The angles that are directly opposite of each other are equal. Since the angles are equal set the values equal to each other and solve for x.
5x - 5 = 2x + 10
5x - 5 - 2x = 2x + 10 - 2x
3x - 5 = 10
3x - 5 + 5 = 10 + 5
3x = 15
3x/3 = 15/3
x = 5
Jack had 3.5870 units of rice. How many units of rice did he have to
the nearest hundredth?
label optional
i need help right away
Answers
Answer:
3.59
Step-by-step explanation:
3 is a whole number, 5 is in the tenths place, 8 is in the hundreths place, and 7 is in the thousandths place. Eventhough 8 is in the tenths place, we have to apply a certain rule to get the exact answer. if the number in the next place (the thousandths place so 7) is greater than 5, add 1 to the tenths place number, but if the number is less than 5, leave it as it is. The 8 will round to 9 because 7 is greater than 5.
Consider the diagram below.
Answers
Answer:
<a = 61
<b + <c = 90
carlita made 2 kinds of lemonade for her friends to enjoy at a fall celebration. After the celebration, she had 6.8 liters of pink lemonade left over and 10.2 liters of yellow lemonade left. About how many more liters of yellow lemonade were leftover to the nearest liter
Answers
Answer:
17 liters of pink lemonade
Which expression represents the distance between 1.8 and 9.4 on the number line?
Answers
Answer:
the distance between 1.8 & 9.4=9.2
One hundred clothing stores go out of business. This will
the supply of clothes at each price level.
A. increase
B. decrease
Answers
Answer:
A increase, because less stores means more people going to the other ones, which means more money for the owners, which means if they raise the proces, people still need cloths sothey will still buy
Step-by-step explanation:
PLEASEE HELP FASTT Water flowed out of a tank at a steady rate. A total of 18 and one-half gallons flowed out of the tank in 4 and one-fourth hours. Which expression determines the quantity of water leaving the tank per hour?
StartFraction 17 over 4 EndFraction divided by StartFraction 36 over 2 EndFraction
StartFraction 36 over 2 EndFraction divided by StartFraction 17 over 4 EndFraction
StartFraction 17 over 4 EndFraction divided by StartFraction 37 over 2 EndFraction
StartFraction 37 over 2 EndFraction divided by StartFraction 17 over 4 EndFraction
Answers
Answer:
The answer would be D, 37/2 divided by 17/4
Explanation:
I did the test.
Answer: The answer would be D, 37/2 divided by 17/4
Step-by-step explanation:
Yes I admit I did copy and paste the answer above I did this because other people would copy it and would not give credit. Credit Goes to raydenhallstar
Which figure represents the image of parallelogram LMNP after a reflection across the line y = x?
Answers
Answer: C
Step-by-step explanation:
Answer:
Figure C
Step-by-step explanation:
