Value of x is 66°.
Define angle.Based on measurement, there are many kinds of angles in geometry. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation. A geometrical shape called an angle is created by connecting two rays at their termini. In most cases, an angle is expressed in degrees.
Given Data
A rectangular sheet of paper is folded at the corner.
Right triangles characterize both the folded-over region and its void. In the bottom left corner, there is a right angle that is marked at 33 degrees. Thus,
180-(33+90)
= 180-123
= 57° is what is left.
The angles in the triangle that has been folded over are the same.
To the left of x, there are two angles that meet at a straight angle. The sum of all right angles is 180 degrees. The 57° measure is shared by the two angles that make up the straight angle with x. This results in:
180-(57+57)
= 180-114
= 66°
Value of x is 66°.
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the sum of an integer and five times the next consecutive odd integer is -32. Find the value of the lesser integer
The value of the lesser integer is a = -7
How to find the value of the lesser integer?
Let an integer be = a
Let the next consecutive odd integer (b) = a+2
a + 5( b) = -32
a +5(a+2)= -32
a+ 5a +10 = - 32
6a = -32 -10
6a = -42
a = - 42 /6
a = - 7
The integer a = -7
The next consecutive odd integer (b) = a+2
= -7 + 2
b = -5
So, the value of the lesser integer is a = -7
What is an integer?
The integers are the smallest group and ring of natural numbers. In algebraic number theory, the integers are occasionally designated as rational integers to distinguish them from the algebraic integers, which are more broadly defined. Zero, a positive natural number, or an unsigned negative integer are all examples of integers. The corresponding positive numbers' additive inverses are the negative numbers.To learn more about integers, refer:
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Help please guys thanks
From the figure of the triangle, the length of LK is calculated to be 10
How to calculate the length of LK from the triangleThe knowledge used here is that of similar triangles.
In similar triangles the sizes of the triangles are not equal however the ratio of the sizes are equal
The formula for the similar triangle used here is:
JR / JL = SR / LK
from the given figure
JL = 2JR, SR = 5
plugging the values into the equation gives
JR / 2JR = 5 / LK
1 / 2 = 5 / LK
LK = 10
The length of KL = 10 units
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Zad 26 str55 kl 8matematyka proszę jak najszybciej
Help with please question
The most appropriate choice for parallelogram will be given by
[tex]\Delta ABD \cong \Delta CDB[/tex] has been proved
What is a parallelogram?
Parallelogram is a quadrilateral in which each pair of opposite sides are parallel and equal.
There are different properties of parallelogram-
Opposite sides of a parallelogram are equal
Opposite angles of a parallelogram are equal
Diagonals of a parallelogram bisect each other
Here,
AD || BC [Definition of Parallelogram]
[tex]\angle ADB \cong \angle CBD[/tex] [Alternate interior angle theorem]
AB || CD [Definition of Parallelogram]
[tex]\angle ABD \cong \angle CDB[/tex] [Alternate interior angle theorem]
[tex]DB \cong DB[/tex] [DB is the common side]
[tex]\Delta ABD \cong \Delta CDB[/tex] [ASA axiom]
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--HELP FAST!!! -BRAINLY-
Click ALL the boxes for which each number is classified.
a: −3 3/4 - Integer or Rational Number
b 7/9 - Integer or Rational Number
c -0.75 - Integer or Rational Number
d 3 - Integer or Rational Number
e -3 - Integer or Rational Number
f 2.25 - Integer or Rational Number
- Integer | Rational Number..
HELP FAST!!!
Each number should be classified as follows:
−3 3/4: rational number.7/9: rational number.-0.75: rational number.3: integer and rational number.-3: integer and rational number.2.25: rational number.The types of numbers.In Mathematics, there are six (6) common types of numbers and these include the following:
Natural (counting) numbers.Real numbersIntegersWhole numbersRational numbersIrrational numbersWhat is a rational number?A rational number simply refers to a type of number which consist of integers, fractions, terminating or repeating decimals such as -3, 3, 1/2, -3 3/4, etc.
Additionally, an integer is a whole number that may either be positive, negative, or zero such as, -3, -2, -1, 0, 1, 2, 3, 4 etc.
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A motorcyclist drives 10 miles in the first hour and in each hour after that, drives 6 miles more than the previous hour. in what hour of driving will the motorcyclist cross the 400-mile mark? \
Answer: I think you could just take 10 and multiply it by a number then keep adding 6.
Step-by-step explanation:
There are 36 green, 22 white, 30 purple and 14 blue gumballs in the gumball machine. Jon wants to get a white or green gumball.
What is the probability of getting a green gumball?
What is the probability of getting a white gumball?
What is the probability that she will get a white or green gumball?
Answer: Look below
Step-by-step explanation:
1. Number of green gumballs/ The total amount of gumballs
= 36/102 = 18/51 = 6/17
2. Same formula: 22/102 = 11/51
3. (Green gumballs+ White gumballs) / total
= ( 36 + 22) / 102
= 58/102
= 29/51
1.8(b-5.3)-4.2=5.8(b-2.3) help me please
The solution to the equation given as 1.8(b-5.3)-4.2=5.8(b-2.3) is b = -0.1
How to determine the solution to the equationFrom the question, the equation is given as
1.8(b-5.3)-4.2=5.8(b-2.3)
Rewrite the equation properly
This is represented as follows
1.8(b - 5.3) - 4.2 = 5.8(b - 2.3)
Open the brackets in the above equation
So, we have
1.8b - 9.54 - 4.2 = 5.8b - 13.34
Collect the like terms in the equation
So, we have
1.8b - 5.8b = 9.54 + 4.2 - 13.34
Evaluate the like terms in the equation
So, we have
-4b = 0.4
Divide by -4
b = -0.1
Hence, the solution is b = -0.1
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The solution to the equation 1.8(b-5.3)-4.2=5.8(b-2.3) will be; b = -0.1
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have been given an equation as;
1.8(b-5.3)-4.2=5.8(b-2.3)
Rewrite the equation properly as follows;
1.8(b - 5.3) - 4.2 = 5.8(b - 2.3)
Open the brackets in the equation, we have
1.8b - 9.54 - 4.2 = 5.8b - 13.34
Now Collect the like terms in the equation
1.8b - 5.8b = 9.54 + 4.2 - 13.34
Evaluate the like terms in the equation;
-4b = 0.4
Now Divide by -4
b = -0.1
Hence, the solution is; b = -0.1
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suppose there is a 1.2 F drop in the temperature for every thousand feet that an airplane climbs into the sky . if the temperature on the ground is 61.7 F what will be the temperature when the plane reaches an altitude or 2,000 ft
When the plane reaches an altitude of 2,000 ft temperature will be 59.3F
What is altitude?The height of a thing above the surface of a planet or natural satellite, like the sea or land is known as altitude.A distance measurement between a reference datum and a point or object, typically in the vertical or "up" direction, is known as altitude, height, or depth.
Although the term "altitude" is frequently used to refer to a location's height above sea level, the term "elevation" is frequently preferred in the context of geography. The term "depth" often refers to vertical distance measurements taken in the "down" direction.
For every 1000 ft there is a drop of 1.2 Fahrenheit
∴ for 2000ft drop in temperature of 2×1.2=2.4F
Also the temperature on the ground is 61.7F
The temperature when the plane reaches 2,000 ft will be
61.7-2.4 = 59.3F
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Without solving for x, how can you show that x=2 is a solution to 2x+3=3x+1?
We minus 3 on both sides, we get :
2x = 3x - 2
We have the equation : 3x - x = 2x, or 2x = 3x - x, and this holds true.
Since x corresponds to 2 in the first equation, x = 2 is a solution
Jimmy is buying balloons and party hats for his little sister’s birthday party. The party store charges $1.50 for each bag of balloons and $6.00 for each package of hats. Which of the following equations could be used to determine different combinations of b bags of balloons and h packages of party hats that he could buy for a total of $24 A.) b+h=24
B.) (1.50+6.00)(b+h)=24
C.) 1.50b+6.00h=24
D.) 6.00b+1.50h=24
Please provide how you did it so I can understand
Answer:
The answer is C.
Step-by-step explanation:
Since the party store charges $1.50 for each bag of balloons, the total price depends on how many bags of balloons Jimmy purchases. So to represent that amount we use the variable given, b. To represent that we can do 1.50b. If we substitute any positive number for b it could look something like this:
(1.50)(1) or 1.50 × 2.
In addition to this, they also sell packages for $6.00 each. We do the same as with the balloons and use the variable h to represent the number of packages Jimmy buys.
We already know that he spends $24 in total but we do not know how many of each item he bought. So we would represent the unit rate price × the variable (or the unknown number of items) of the balloons + the unit rate price and the unknown number of the party hats.
1.50b + 6.00h = 24.
Please let me know if you need additional help!
How many solutions can be found for the equation 4x = 4x?
a Zero
b One
c Two
d Infinitely many
Answer:
I think its infinitely many because:
4x=4x
x=4x\4
x=x
Kaleb had 65 songs on his mp3 player if he deleted 20 songs what is the ratio of songs he kept to songs he deleted
Answer:
Step-by-step explanation:
1.First find the left songs after delete:
65-20= 45 kept
2.Now find deleted: 20 deleted
3.Ratio to kept to deleted= 45:20
4.Simplify: 9:4
Please help me!!!! i'm desperate!!!!!
Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table:
Roll Points
Same number on both dice +3
Different numbers, with an even sum +1
An odd sum -2
At the end of ten rounds, the person with the highest number of points wins.
In the first three rounds, Xander had the following rolls. Write an addition expression that can be used to find his point total at the end of the three rounds.
Answer:
3 + (-2) + (-2), or 3-2-2
Step-by-step explanation:
5, 5 1, 2, 6, 3
the ages of students at a university are normally distributed with a mean of 23. what percentage of the student body is at most 23 years old?
By the concept of mean ,50% of the student body is at most 23 years old.
What is mean?In mathematics, particularly in statistics, there are various kinds of means. Each mean is used to summarize a certain set of data, frequently to help determine the overall significance of a particular data set. Two easy steps can be used to determine the mean, or average, of a set of data: Add up all of the values to get the sum. Divide the total by the total number of values in the data collection. A data set's mean (average) is determined by summing all of the numbers in the set, then dividing by the total number of values in the set. When a data collection is ranked from least to greatest, the median is the midpoint number. The number that appears most frequently in a set of data is called the mode.
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Help me!
It is due tonight!
9 is a coefficient of u in mathematical expression.
What does a math expression mean?
A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Any one of the following mathematical operations can be used.What does an example of a math expression mean?
Mathematical expressions are sentences having a minimum of two numbers or variables, at least one arithmetic operation, and a mathematical concept. Let's examine the writing of expressions. The other number is x, and a number is 6 greater than half of it. In a mathematical expression, the sentence is represented as x/2 + 6.= 7 ( 9u + 2 ) ( 1 + 3 )
In this expression statement 1 is correct and statement 2,3,4,5,6 are false.
9u, 9 is a coefficient of u.
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If the measure of ZCBD is equal to (5x)° and
the measure of ZDBE is 40°, write an equation
involving x. Then solve it.
=[
+
X =
The value of x in the angle ∠BCE is 10 so the measure of ∠BCE is 50°.
What are angles?An angle is a figure in Euclidean geometry made up of two rays that share a common endpoint and are referred to as the angle's sides and vertex, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles. Based on the measurement, there are different kinds of angles in geometry. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation.So, the value of x will be:
∠BCE = 5x° and ∠ECD = 40°, and we can see in the diagram that the ∠BCD = 90°.Then, the equation formed will be:
∠BCE + ∠ECD = ∠BCD 5x° + 40° = 90°5x° = 90 - 405x° = 50x = 50/5x = 10So, ∠BCE = 5x° ⇒ 5(10) = 50°.
Therefore, the value of x in the angle ∠BCE is 10 so the measure of ∠BCE is 50°.
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The correct question is given below:
If the measure of ∠BCE is 5x° and the measure of ∠ECD is 40°, write an equation involving x and find the value of x.
Geometry-
given:
line BD is perpendicular to line AC
D is the midpoint of line AC
Prove: Triangle ABD is congruent to triangle CBD
Triangle ABD is congruent to triangle CBD
Congruent triangles: What are they?
Congruent triangles are triangles that are precisely the same size and shape. The word congruent has the sign. When the three sides and three angles of one triangle match the same dimensions as the three sides and three angles of another triangle, two triangles are said to be congruent.
Given, BD perpendicular AC
Angle ADB = Angle CDB = 90
Therefore, angle ABD = angle CDB = 90
AB = CB
BD = BD
Hence, Triangle ABD is congruent triangle CBD
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The Ramirez family just bought crates of eggs, and each crate had eggs. The family already had eggs in their refrigerator. How many eggs do they have now?
Answer:
The Ramirez family has 36 eggs
Given:
BD bisects
BD bisects
Prove: triangle DAB is congruent to triangle DCB
By SAS rule, triangle DAB is congruent to triangle DCB
Define congruency.If two shapes are similar in size and shape, they are congruent. We can also state that if two shapes are congruent, then their mirror images are identical. If and only if two angles have equal measurements, they are said to be congruent. If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.
Given data
BD bisects ∠ABC
BD bisects ∠ADC
In ,Triangle DAB and triangle DCB
DA = DC (Given)
∠DAB=∠DCB (BD bisects ∠ABC)
DB = DB (Common Value)
Thus,
△DAB≅△DCB (SAS rule)
By SAS rule, triangle DAB is congruent to triangle DCB
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5. The box plot represents the distribution of the number of children in 30 different
familes.
After further examination, the value of 12 is removed for having been recorded in
error. The box plot represents the distribution of the same data set, but with the
maximum, 12, removed.
The median is 2 children for both plots.
a. Explain why the median remains the same when 12 was removed from the data
set.
b. When 12 is removed from the data set, does mean remain the same? Explain
your reasoning
It should be noted that the median remains the same because removing an extreme value from a data set will not have much effect on the median.
What is meant by Statistical data?Statistical data established on the minimum, first quartile, median, third quartile, and maximum exist shown graphically in a box plot.
The box plot represents the number of kids in 30 distinct households in accordance with the families, and the value of 12 is subtracted for inaccuracy.
Therefore, if there exist two kids in the median for both plots when 12 stood eliminated from the data set, it remained unchanged.
In conclusion, the median stays exact because removing an extreme value from a data set will not have much effect on the median.
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in a marathon race (42.195 km), the winner’s time is 2 hours, 13 minutes, and 9 seconds, while the second-place time is 2 hours, 26 minutes, and 6 seconds.shifow,removedb8d80da1d80dbeab33a3b645b3904854d9277daeadeae8d9774eb5c43aba0e6aremoved
in a marathon race (42.195 km), the winner’s time is 2 hours, 13 minutes, and 9 seconds, while the second-place time is 2 hours, 26 minutes, and 6 seconds . The distance is 2.664 km.
D = distance of marathon = 42.195 km = 42195 m
tw = time taken by winner = 2 h 17 min = 2 (60) + 17 = 137 min = 137 (60) = 8220 sec
Vw = speed of winner
speed of winner is given as
Vw = D /tw = 42195/8220
ts = time taken by second place = 2 h 26 min 14 sec = 2 (60)(60) + (26)(60) + 14 = 8774 s
Vs = speed of second place
speed of second place is given as
Vs = D /ts = 42195/8774
distance of the second place holder from the finish line is given as
D' = Vs (ts - tw)
D' = (42195/8774 )(8774 - 8220)
D' = 2664.24 m
D'= 2.664 km
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is it possible to have a series of true conditional statements that lead to a false conclusion? explain.
Answer:
Step-by-step explanation:
I think not because if a series of true conditional statements then it won't lead to a false conclusion
The telephone company purchased 95 yards of wire for $1,235 in September. They plan on making a purchase of 285 yards in October. How much will the October purchase cost?
285 yards of wire purchased in October will cost $3705.
We will use unitary method for calculation.
The cost of one yard of wire = total cost ÷ length of wire × unit length
Cost of one yard of wire = 1235 ÷ 95 × 1
Performing division on Right Hand Side of the equation
Cost of one yard of wire = $13
Now calculating the cost for purchase of 285 yards of wire in October.
Cost of wire in October = 285 × 13
Performing multiplication on Right Hand Side of the equation
Cost of wire in October = $3705
Thus, the cost of purchase in October is $3705.
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HELP PLEASEEEEE
What is 2+2
3
4
9
6
Answer: um 4
Step-by-step explanation: use your fingers lol
In AJKL, m/J = (8x + 6)°, mZK = (2x + 2)°, and m≤L = (4x + 4)°. Find
m/L.
The angel L in the triangle JKL is measured as 52 degree.
What is triangle?
A triangle in geometry is a three-sided polygon with three edges and three vertices. The fact that a triangle's internal angles add up to 180 degrees is its most crucial characteristic. This characteristic is known as the triangle's angle sum property.
Given in the question,
∠J = (8x+6)°
∠K = (2x+2)°
∠L = (4x+4)°
We know that, the sum of the all angles in triangle is 180°
So, in triangle JKL
∠J + ∠K + ∠L = 180
Putting the values from the question. we get,
(8x+6) + (2x+2) + (4x+4) = 180
14x + 12 = 180
(180 - 12)/14 = x
x = 12
Putting the value of x in given value of angle L.
∠L = 4x+4
∠L = 4(12)+4
∠L = 48 + 4
∠L = 52°
Hence the angle L is measured as 52 degrees.
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shannon wants to start saving for her retierment her goal is to save 350000 if she depends 250000 into an account that pays 2.04% interest compounded monthly approximately how long will it take for her money to grow to her desired amount round your answer to the nearest tenth of a year
Shannon will take time 16.5 years to have $350000
What is Compound Interest ?
Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit. Reinvesting interest, or adding it to the lent capital rather than paying it out or seeking repayment from the borrower, results in interest being received on the principal amount plus previously collected interest in the next period.
Formula used,
A=P(1+r/n)^nt
A = ending amount
P = principal amount(beginning amount)
n = time period
r = rate of interest
Given,
A = $350000
p = $250000
r = 2.04% or 0.0204
n = 12 months
Now, put these values in given formula
350000 = 250000(1 + 0.0204/12)^12t
= 250000 * 1.0017^12t
350000/250000 = 1.0017^12t
1.4 = 1.0017^12t
Take log on both the sides,
㏑(1.0017^12t) = ㏑(1.4)
12t * ㏑(1.0017) = ㏑(1.4)
12t * 0.0017 = 0.3365
t = 0.3365 / 0.0204
t = 16.5 years
Therefore, Shannon will take time 16.5 years to have $350000
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18. pls help will mark brainliest
Part a: Graph 1 : A and B are 6 and 8 respectively.
Part b: Graph 2 : A and B are 8 and 12 respectively.
What is the equation of the line?The standard form of a line equation is ax + by + c = 0. The coefficients are a and b, the variables are x and y, and the constant term is c. It is a one-degree equation with variables x and y. The coordinates of a point on the line defined in the coordinate plane are represented by the values of x and y.For the given question;
The equation of line in the standard form is given as;
Ax + By = C, where C = 24
Part a: Graph 1.
Locate two points lying on the line.
(4, 0) and (0, 3)
Put the value in equation at (x, y) and solve the equation,
Ax + By = C
4A + 0B = 24
A = 24/4
A = 6
And, 0A + 3B = 24
B = 24/3
B = 8
Thus, A and B are 6 and 8 respectively.
Part b: Graph 2.
Locate two points lying on the line.
(3, 0) and (0, 2)
Put the value in equation at (x, y) and solve the equation,
Ax + By = C
3A + 0B = 24
A = 24/3
A = 8
And, 0A + 2B = 24
B = 24/2
B = 12
Thus, A and B are 8 and 12 respectively.
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What is the value of this expression when c = -4 and d = 10? (c²³ +ď²)
The value of the given expression [tex]\frac{1}{4}(c^{3}+d^{2} )[/tex], when c = -4 and d = 10 is 9
The expression is
[tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]
The expressions is the mathematical statements that have a minimum of two terms containing numbers or variables, connected by an operator in between. The operator maybe addition, subtraction, division or multiplication.
The expression is
[tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]
The values are
c = -4
d = 10
Substitute the values in the expression
[tex]\frac{1}{4}((-4)^{3}+10^{2})[/tex] = 1/4(-64+100)
Do the arithmetic operation in bracket
= (1/4)×36
Multiply the numbers
= 36/4
Divide the numbers
= 9
Hence, the value of the given expression [tex]\frac{1}{4}(c^{3}+d^{2} )[/tex], when c = -4 and d = 10 is 9
The complete question is
What is the value of this expression when c = -4 and d = 10?
[tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]
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Jon used a gift card to pay for an $17 shirt.The remaining balance on the card is $31.Write and solve an equation that representsthis.
Answer
The initial amount on Jon's giftcard is $48.
Explanation
Let the initial amount on Jon's gift card be x dollars.
Jon pays $17 for a shirt using the gift card and the remaining balance was $31.
That is, the equation representing this is
x - 17 = 31
To solve this, we add 17 to both sides
x - 17 + 17 = 31 + 17
x = 48 dollars
The initial amount on Jon's giftcard is $48.
Hope this Helps!!!
Good evening,
Answer: x-17=31 is the equation you're looking for meanwhile its result is x=48
Explanations: Jon spent $18 after having $31 on the card so they're spending money off the card, therefore the equation you're loooking for is x-17=31. In order to solve it add 17 to the other side of the equation such as:
x-17=31 ; x=31+17 ; x=48
