Determine if the angles are vertical, complementary, or supplementary, and then solve for x. *
x=5
x=16
x=14
x=45
Answers
Answer:
x = 14
Step-by-step explanation:
___________________________________________________________
FACTS TO KNOW :-
Linear Pair is a pair of adjacent angles on a straight line whose sum is 180°All linear pairs are supplementary angles (because their sum is 180°) but all supplementary angles are not linear pairs.___________________________________________________________
In the question , the given angles are supplementary angles because both (3x)° & (7x + 40)° are adjacent to each other and they are on a straight line.
As they are supplementary angles , their sum will be 180°.
So ,
[tex](3x) + (7x + 40) = 180[/tex]
[tex]=> 3x + 7x + 40 = 180[/tex]
[tex]=> 10x + 40 = 180[/tex]
Substracting 40 from both the sides ,
[tex]=> 10x + 40 - 40 = 180 - 40[/tex]
[tex]=> 10x = 140[/tex]
Dividing both the sides by 10 ,
[tex]=> \frac{10x}{10} = \frac{140}{10}[/tex]
[tex]=> x = 14[/tex]
Related Questions
5 DdMll, 6 UdMll, 8 Cmil, 1 Dmil,
9 Umil, 7 c, 2 d, 3 u.
(valor posicional)
Answers
Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4
The ratio of girls to boys on a soccer team is 2 to 3. If there are 15 boys on the team, how many are girls? Let g = the number of girls on the team. Set up a proportion for this word problem.
Answers
Answer:
3X=15
X=5
2X5= 10
G=10
Step-by-step explanation:
i need the type of properties
Answers
Answers:
Distributive PropertyInverse PropertyIdentity PropertyAssociative PropertyCommutative PropertyMultiplication Property of Zero=========================================================
Explanations:
The distributive property is a*(b+c) = a*b+a*c. We multiply the outer term 'a' by each term inside (b and c), then add up the results. In this specific case, we are multiplying the outer 2 by x and 3. So that's why 2(x+3) = 2x+2*3 = 2x+6. The concept of factoring takes this process in reverse, so we go from 2x+6 to 2(x+3).The inverse property, specifically the additive inverse property, is where we can add any number to its negative counterpart to always get 0. The expression 2+(-2) is the same as 2-2. We can think of it like "we're on the 2nd floor and we go down 2 floors to end up on floor 0". In general, the additive inverse property is x+(-x) = 0, which is the same as -x+x = 0.We can multiply any number by 1, to get the same number. So that's why 1*x = 1x = x. Similarly, x*1 = x as well. This is the multiplicative identity property, often shortened to "identity property".The parenthesis shifted around, so this means we'll use the associative property. In general, that is a+(b+c) = (a+b)+c.We can multiply two numbers in any order. The general format is a*b = b*a. This is the commutative property of multiplication. The version for addition is a+b = b+a.Multiplying 0 by any number leads to 0. So we could have the most complicated expression thought possible, but if we multiply it by 0, then the whole thing goes to 0. At the end of this complicated expression is where the 0 is buried. This idea is useful when it comes to the zero product property where if A*B = 0, then either A = 0 or B = 0 or both are the case.Emma bought 7 notebooks for $8.75. How much would 2 notebooks cost?
Answers
Answer:
$2.50
Step-by-step explanation:
8.75 / 7= 1.25
1.25 * 2 =2.50
A, b birer sayı olmak üzere a. b =12 ise a+b nin en büyük ve en küçük değerini bulunuz?
Answers
Answer:
en büyük 13 en küçük 7 dir
Is the relation a function ?
Answers
how do i solve this problem 1/15+1/6
Answers
Answer:
7/30
Step-by-step explanation:
1/6 = 1x5/6x5
= 5/30
1/15= = 1x2/1x15
=2/30
2/30 + 5/30 = 7/30
Zher and Gabbie are making cookies for the Hospitable Pantry. They only have up to 6 hours to
bake! They can bake 32 chocolate chip cookies in an hour (x), and 20 snickerdoodle cookies in an
hour (y). They need to make at least 150 cookies. Which inequalities represent the situation?
Answers
Answer:
32x3=96. 20x3= 60. 60 + 96=156 if you make 3 hours of chocolate chip and 3 hours snickerdoodles you will have 156 cookies
Find the whole. 60% of what number is 9?
Answers
Answer:
15
Step-by-step explanation:
60% × ? = 9
? =
9 ÷ (60 ÷ 100) =
or
(100 × 9) ÷ 60 =
900 ÷ 60 =
15
How do we check the result?
If 60% × 15 = 9 =>
Divide 9 by 15...
... And see if we get as a result: 60%
Find the value of x.
5xº
55°
O A. 7
B. 25
C. 18
O D. 11
Answers
Answer:
the answer for this would be D. 11
Se all of the expressions that are equivalent to 2k +2+k+3+ 2k.
Answers
Answer:
5k+5
Step-by-step explanation:
Combine Like Terms:
=2k+2+k+3+2k
=(2k+k+2k)+(2+3)
=5k+5
Need help getting a equation that you distribute that will equal x=6
Answers
16 - 10 = 6
x = 6
Answer:
x+6=10-4+6
x=6+6-6
x=6
Factor the expression d2-8d +16
Answers
Factor out the 2:
d x 2 -8d+16 —> 2(d-4d+8)
Collect like terms:
2(-3d+8)
thank you in advance
Answers
Answer:
the answer is option (b)
Answer:
First option: y= -4/3x + 7
Step-by-step explanation:
It's perpendicular
If five times the square of a certain positive number is
decreased by twice the number, the result is 16. Find the
number [Only an algebraic solution will be accepted.]
Answers
Answer:
5 bud i think it this but i might be wrong
Rob is saving to buy a new MP3 player. For every $14 he earns babysitting, he saves $7. On Saturday, Rob
earned $84 babysitting. How much money did he save?
If he earned $84, how much money did he save
Answers
Answer:
$42
Step-by-step explanation:
7/14=1/2 so he saved 1/2 of 84
What 5+10
15
12
19
5
Answers
Answer:
15
just add 10 plus 5
Estimate the average rate of change from x=2 to x=5
Answers
Answer:
5x3x2y
Step-by-step explanation:
The average rate of change for the graph is 4/3 from x = 2 to x = 5.
What is Lagrange mean value theorem?Lagrange mean value theorem states that, if a function f is continuous over the closed interval [a, b] and differentiable over the open interval (a, b), then there must be at least one point c in the interval (a, b) where the slope of the tangent at the point c is equal to the slope of the tangent through the curve's endpoints, resulting in the expression f'(c) = {F(b) -F(a)}/(b-a)
According to the given graph,
At point x = 2,
F(2) = 3
At point x = 5,
F(5) = 7
Since the formula for the average rate of change of the function between x = a and x = b is,
The average rate of change = {F(b) -F(a)}/(b-a)
Here a = 2, b = 5 and F(2) = 3, F(5) = 7
Substitute the values in the formula,
So the average rate of change = (7 - 3)/(5 - 2) = 4/3.
Hence, the average rate of change of the function is 4/3.
Learn more about the Lagrange mean value theorem here:
https://brainly.com/question/13264870
#SPJ2
Use the discriminant to determine the number of real solutions to the quadratic equation.
6a2−11a+9=0
What is the number of real solutions?
Select the correct answer below:
0
1
2
Answers
Answer:
0
Step-by-step explanation:
Use discramnt formula
[tex]b {}^{2} - 4ac[/tex]
Where 6 is a, 11 is b and 9 is c
[tex]11 {}^{2} - 4(6)(9) [/tex]
[tex]121 - 216 = - 95[/tex]
Since the discramnt is negative, there are no real solutions and it will only produce imaginary solutions
Seventy-five percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircraft that are discovered, 70% have an emergency locator, whereas 89% of the aircraft not discovered do not have such a locator. Suppose a light aircraft has disappeared. (Round your answers to three decimal places.) (a) If it has an emergency locator, what is the probability that it will not be discovered
Answers
Answer:
0.05 = 5% probability that it will not be discovered
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Has an emergency locator
Event B: Not discovered
Probability of having an emergency locator:
70% of 75%(discovered).
100 - 89 = 11% of 100 - 75 = 25%(not discovered). So
[tex]P(A) = 0.7*0.75 + 0.11*0.25 = 0.5525[/tex]
Intersection of events A and B
Having an emergency locator and not discovered, so 11% of 25%
[tex]P(A \cap B) = 0.11*0.25 = 0.0275[/tex]
What is the probability that it will not be discovered?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0275}{0.5525} = 0.05[/tex]
0.05 = 5% probability that it will not be discovered
Andrew filled a bucket with 7/10 of a gallon of water. A few minutes later, he realized only
2/5 of a gallon of water remained. How much water had leaked out of the bucket?
Answers
Answer:
5/5
Step-by-step explanation:
7/10=2/5
7/10-2/5=5/5
Answer:
3/10 gallons of water leaked out.
Step-by-step explanation:
7/10 = .70 gallon
2/5 = .40 gallon
.70 - .40 = .30
A box will be built with square base and an open top. Material for the base costs $8 square foot, while material for the side's costs $2 per square foot. Find the dimension of the box of maximum volume that can be built for $2400.
Answers
The height and side of the box for the maximum volume are 20 feet and 10 feet respectively.
What is area?Area is the amount of space occupied by a two-dimensional figure.
How to calculate the area of square?The area of square is the product of the length of each side with itself.
[tex]A = a^{2}[/tex]
Where,
A is the area of square
a is the length of the side of square
What is volume?Volume is the measure of the capacity that an object holds.
Formula for the volume of cuboidvolume = length × breadth × height
According to the given question
We have
A box with the open top and square base.
Let x be the side of the box. And h be the height of the box
Also, the cost of material for the base is $8 and for side is $2 per square foot.
The total cost of material for the box is $2400
⇒[tex]8x^{2} + 4(2xh) = 2400[/tex]
⇒ [tex]8x^{2} + 8xh = 2400\\[/tex]
⇒[tex]x^{2} + xh = 300[/tex]
⇒ [tex]h = \frac{300-x^{2} }{x}[/tex]
Therefore,
volume of the box
[tex]= x^{2} h[/tex]
= [tex]x^{2} \frac{3000-x^{2} }{x}[/tex]
= [tex]x(300-x^{2} )[/tex]
= [tex]300x - x^{3}[/tex]
for the maximum volume,[tex]\frac{d}{dx}(v)=0[/tex]
⇒ [tex]300 - 3x^{2} =0[/tex]
⇒[tex]300 = 3x^{2}[/tex]
⇒ [tex]x^{2} =100[/tex]
⇒ x = ± 10
⇒ x= 10 feet (x = -10 not possible)
So, h = [tex]\frac{300-100}{10} = 20feet[/tex]
Hence, the height and side of the box for the maximum volume are 20 feet and 10 feet respectively.
Learn more about volume here:
https://brainly.com/question/1578538
#SPJ2
find the result when you subtract (5y+9z)to(4y-7z)
A. -y-16z
B.-y+16z
C.9y+2z
D.9y-2z
Answers
What does decreased mean in math?
Answers
Answer:
becoming less or fewer; diminishing. Mathematics. (of a function) having the property that for any two points in the domain such that one is larger than the other, the image of the larger point is less than or equal to the image of the smaller point; nonincreasing.
Step-by-step explanation:
BRAINLIST PLEASE!
Meaning of decreased in math is, get smaller in size, number or quantity.
We have to given that,
To defined decreased mean in math.
We know that,
We use minus sign to denote subtract, decreased by, take away, etc.
For example, Minus sign also means how much is one value more than the other value.
Hence, Meaning of decreased in math is, get smaller in size, number or quantity.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ6
The ratio of purple squares to green squares on a game board is 3 to 5. How many green squares are there
if there are 21 purple squares?
А:8
B:29
С:35
D:42
Hurry please
Answers
Answer:
C :35
Step-by-step explanation:
3to5 purple to green
times each side by 7 or add the same number repeatedly
Which graph best represents the equation x + 5y = 25?
A.
B.
C.
D.
Answers
Answer:
b
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Jefferson’s class was studying sunflowers. They learned that sunflowers are able to make their own food. Which parts of a sunflower collect most of the sunlight needed to make food?
Answers
Brady used 2/3 gallon of yellow paint and 1/6 gallon of white paint to paint his dresser. How many gallons of paint did Brady use?
A
3/7 gallon
B
3/4 gallon
C
5/6 gallon
D
11/12 gallon
Answers
Just add!
A movie theater has a seating capacity of 289. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2106, How many children, students, and adults attended?
Answers
Answer:
Number of children in theater = 94
Number of students = 46
Number of adults in theater= 47
Step-by-step explanation:
Total seating capacity in the theater = 187
Let us assume the number of students in the theater = m
and assume the number of children in the theater = 2k
So, the number of adults in theater = Half of number of children = 2k/2 = k
⇒ Number of ( Adults + Children + students) = 187
⇒ k + 2k + m = 187, or 3k + m = 187
Step-by-step explanation:
4. A movie-streaming service offers 12 children's movies. This is 15% of the
total number of movies offered. How many movies does the streaming
service offer? *
Answers
Answer:
80
Step-by-step explanation:
12 is 15% of 80.
80 movies does the streaming service offer.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
A movie-streaming service offers 12 children's movies.
This is 15% of the total number of movies offered.
let the total number of movies offered be x.
So, 15% of x= 12
15/100 x = 12
x= 1200/15
x= 80
Thus, there were total 80 movies.
Learn more about Algebra here:
https://brainly.com/question/24875240
#SPJ2
