The value of x is equal to 16.
What is the variable behind a system formed by two supplementary angles
Let A and B be angles supplementary to each other, two angles are supplementary when the sum of its measures is equal to 180°. Mathematically speaking, the geometric system is represented by the following formula:
(7 · x + 6) + (5 · x - 18) = 180
12 · x - 12 = 180
12 · x = 192
x = 16
The solution to this equation is 16.
RemarkThe statement is incomplete, correct form is shown below:
Let be A and B two angles that are supplementary to each other. The measures are (7 · x + 6)° and (5 · x - 18)°, respectively. Find the value of x.
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When you adjust one number and change another number in the problem to make a computation easier you use ?
To make a computation easier, you adjust one number and alter another number in the problem is called compensation.
What is termed as the compensation strategy?Compensation is a multi-digit addition mental math technique that entails adjusting one of the operand to make the equation simpler to solve.
Some students might choose this strategy over left-to-right addition or even the strategy of splitting up the second number.Compensation is an effective method for making calculations easier to solve. More likely, it encourages learners to think about numbers in a variety of ways.Some examples of compensation are-
For example; 29 + 96We can alter the value of 29 to 30 by adding 1; as it is simpler to sum 30.Then, 30 + 96 = 126Now, the added value is then subtracted from obtained addition.126 - 1 = 125Hence, 29 + 96 = 125Thus, this method is used in solving with simpler form.
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Use the spinner to find following probability. The spinner is spun again if it stops on a line.
P (pointer landing on blue)
The probability that the point of the spinner land on blue is 8.34%.
What is a pie chart?A pie chart is a type of chart that shows data in a circular graph.
We recognise that the pie's total value is always 100%. It is additionally recognized that a circle has a circumference of 360°. As a result, the sum of all the data equals 360°. Depending on these, there seem to be two main pie chart formulas:
We use the following formula to calculate a percentage of the data set: (Frequency ÷ Total Frequency) × 100We use the following formula to convert the data to degrees: (Given Data ÷ Total value of Data) × 360°On complete rotation of circle forms 360 degrees at the centre.
The total percentage of the all the colours is 100%.
Divide the value of blue by 3.6 because 360 degrees /100 percent = 3.6.
The total percentage of blue shown by the pointer of spinner is 30%.
Probability P (pointer landing on blue) = 30/3.6
Probability P (pointer landing on blue) = 8.333... = 8.4 (approx.)
Therefore, the probability that the pointer lands on the blue is 8.4.
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EASY POINTS WILL GIVE BRAINLIST TO BEST ANSWER
Hannah needs to slice the equation for x
7x-11=3
Which would be the first step Hannah could make to slove the equation
View photo!
Answer:
d. add 11 to both sides of the equation
Step-by-step explanation:
7x - 11 = 3
Temperature Conversion
Show how you got your answer please!!
The formula for the temperature in ºC is:
[tex]C = \frac{5}{9}(F - 32)[/tex]
What is the temperature in Fahrenheit, given the temperature in Celsius?As shown in the problem, the rule is as follows:
F(C) = 9C/5 + 32.
We want to find the temperature in Celsius given the Fahrenheit temperature, hence we have to solve for C the above formula, hence:
9C/5 = F - 32
9C = 5(F - 32)
C = 5/9(F - 32).
For better notation I will use Latex, as follows:
[tex]C = \frac{5}{9}(F - 32)[/tex]
The above formula is the formula for the temperature in ºC.
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What is the probability of drawing a blue marble?
answer i cant figure this out
Answer:
I would say it's 8 because if the y=8 so if 8 is there you times it by 2 to get 16 so now you get 2 from x the exponent is 4 so 4x2 is 8 so 16-8=8 if that's wrong it's probable -8 because I haven't done exponents in a long time
the bearing of p from q is 270degree what is the bearing of q from p?
Answer: 302 degrees
Step-by-step explanation:
There are about
3 * 10^11
stars in our galaxy and about 100 billion galaxies in the observable universe. Suppose every galaxy has as many stars as ours. How many stars are in the observable universe? Write in scientific notation.
The number of stars in 100 billion galaxies in scientific notation is
3 x [tex]10^{22}[/tex].
What is scientific notation?Scientific Notation is the expression of a number in the form a x [tex]10^{b}[/tex]. where a is an integer such that 1 ≤ |a| < 10 and b is an integer too.
We have,
Number of stars in our galaxy = 3 x [tex]10^{11}[/tex]
Number of galaxies in the observable universe = 100 billion.
1 billion = 1,000,000,000 = [tex]10^{9}[/tex]
Number of stars in 100 billion galaxies:
= 3 x [tex]10^{11}[/tex] x 100 x [tex]10^{9}[/tex]
= 3 x [tex]10^{11 + 2 + 9}[/tex]
= 3 x [tex]10^{22}[/tex]
Thus the number of stars in 100 billion galaxies in scientific notation is
3 x [tex]10^{22}[/tex].
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5.
Solve 0 = 4+ q.
9=0
Which statement shows the correct justification for the step used to solve the
equation?
O Add 0 to each side.
O Add 4 to each side.
O Subtract 0 from each side.
Subtract 4 from each side.
Answer:
subtract 4from each side
a₁ is the first term of a sequence, r is a common ratio, and d is a common difference. Write the first five terms. a₁=2, r=-2
The first five terms of a geometric sequence with first term 2 and common ratio (-2) are 2, -4, 8, -16, 32
The given parameters:
a₁ = 2, r = -2
r is the common ratio, hence, the given sequence is a geometric sequence.
In a geometric sequence, the formula for the nth term is given by:
a(n) = a(1) . rⁿ⁻¹
We can also find the terms using recursive formula. The nth term of a geometric sequence is equal to the (n-1)th term times the common ratio, r. Mathematically,
a(n) = a(n -1) . r
Let us start from n = 1
a(1) = 2 (given)
a(2) = a(1) . r = 2 . (-2) = -4
a(3) = a(2) . r = -4 . (-2) = 8
a(4) = a(3) . r = 8 . (-2) = -16
a(5) = a(4) . r = -16 . (-2) = 32
Thus, the first five terms are 2, -4, 8, -16, 32
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6−3+4x+1= no solution one
solution
Answer:
The answer is 4x+(any number other than 4)
Step-by-step explanation:
If there are no solutions, then the equation will be equal to 4x + (any number other than 4).
Examples: 4x + 1, 4x + 2, 4x + 3
what's the slope-intercept form of the equation of (-5, -2) and (5, 4
The equation of the line in slope-intercept form is y + 2 = (5 / 3) · (x + 5).
What is the equation of the a in slop-intercept form?
Linear equations are first order polynomials whose slope-intercept form is introduced below:
y - y₁ = m · (x - x₁) (1)
Where:
(x₁, y₁) - Coordinates of a point lying on the line.m - Slopex - Independent variabley - Dependent variableAnd the slope of the line is determined by the secant line formula:
m = Δy / Δx (2)
Now we proceed to determine the equation of the line in slope-intercept form:
m = [5 - (-5)] / [4 - (- 2)]
m = 10 / 6
m = 5 / 3
y + 2 = (5 / 3) · (x + 5)
The equation of the line in slope-intercept form is y + 2 = (5 / 3) · (x + 5).
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Find the Missing Angle *
Answer:
53degree
82+45=127
We know
There is 180 degree in the angle
For the missing value
180-127= 53
Answer:
Answer is in the attached screenshot! :)
Step-by-step explanation:
Please let me know if you have any questions! :)
d. What is the sum of the first ten terms of any Fibonacci-like sequence?
The sum of the first ten terms of any Fibonacci-like sequence is 88.
How to find the sum of the first ten terms of any Fibonacci-like sequence?The Fibonacci numbers, sometimes known as Fn in mathematics, are a series. Each number in the Fibonacci sequence is composed of the sum of the two numbers before it. Typically, the sequence begins with 0 and 1.
means
0+1 = 1
1+1 = 2
1+2 = 3
2+3 = 5,like this.
The Fibonacci sequence includes the numbers 0, 1, 1, 2, 3, 5, 8, 13, 21 and so on.
Sum = 0 + 1 + 1 + 2 + 3 + 5 + 8 + 13 + 21 + 34 = 88 is what we get when we add up the numbers in the series.
The first ten Fibonacci numbers sum is 88.
Hence, The sum of the first ten terms of any Fibonacci-like sequence is 88.
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solve 3(2x-5)=9(10-x)
Answer:
x=7
Step-by-step explanation:
Each triangle shown below is a right triangle.
Answer:
Yes, Triangle A
Step-by-step explanation:
Perpendicular legs of the triangle A are equal in measure (each 4 units)-> Triangle A is an isosceles right triangle.Service
Restaurant
Florist
Cab Fare
Dog
Groomer
Cost Gratuity Tax
$40
18%
$94
$32
12%
20%
8.5%
12%
0%
$62 26% 5.75%
Approximate the amount of tip for the florist by
rounding the cost and the percent gratuity to the
nearest ten.
$
Based on the percent gratuity to the florist and the cost being rounded to the nearest ten, the amount of the tip is $9
What is the tip?When the cost for the florist is rounded to the nearest 10, it goes from $94 to $90.
When the percentage gratuity is rounded to the nearest ten, it goes from 12% to 10%.
The approximate tip is:
= 10% x 90
= $9
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Which is not a pair of congruent angels in the diagram below
The angles D and F are not congruent angles.
According to the statement
We have to find that the not a pair of congruent angles.
So, For this purpose, we know that the
Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other. The type of angles does not make any difference in the congruence of angles
From the given information:
In this diagram we have to given the four angles which are E,F,G,D.
And out of these angles
The angles E and G are the congruent angles and the angles D and F are not congruent because according to the definition these angles are not follow the conditions of the congruent angles.
So, The angles D and F are not congruent angles.
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F(x)=|x|+5; horizontal shrink of factor 3
the horizontally shrunk function by a scale factor K = 3 is modeled by:
g(x) = |3*x| + 5
How to apply a horizontal shrink to a function?
For any function f(x), we define a horizontal shrink or compression by a scale factor K as:
g(x) = f(K*x)
In this case the function is:
f(x) = |x| + 5
And the scale factor is K = 3.
Then we can write the compression as:
g(x) = f(3*x)
Replacing the actual function we will get:
g(x) = f(3*x) = |3*x| + 5
Then the horizontally shrunk function by a scale factor K = 3 is modeled by:
g(x) = |3*x| + 5
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I need to find the angle measure and am not sure how to
Answer:
angle TEA = 58 (which is 29 times 2) degrees
angle TEF = 37 (which is 74 divided by two 2) degrees
Step-by-step explanation:
The angle bisector divides a given angle into two equal parts
Brainliest, please explain how you got your answer, thank you
Multiply. What is the value of the first partial product?
26 × 107
Which of the following expressions are equivalent to (z+0)+y+0?
Choose all answers that apply:
A
z+y
® 1+0+ (y+0)
B
None of the above
The algebraic expression (z+0)+y+0 is equivalent to (z+y) by the identity property of addition.
An algebraic expression is a simple and random combination of constants and variables .
An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number).
The identity property of addition states that when a constant number is added to zero the value of the expression remains the same.
Since the absolute value of 0 is nothing so adding or subtracting zero from a constant does not change the value of the constant.
I.e, g+0=0 here the value of g does not change.
Given (z+0)+y+0
We know from the identity property of addition:
z+0=z and y+0=y
Therefore the value of the expression is (z+y) .
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What are the numbers 1.9, 5/4,-1.2 , and √3 in order from greatest to least?
1.9 > √3 > 5/4 > -1.2 are in the order from no. greatest to least.
1.9 > √3 = 1.732 > 5/4 = 1.25 > -1.2
How to solve an equation?To solve linear equations, utilize the steps that are provided below.
Remove parentheses from each side of the equation and combine similar terms to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The common denominator can be multiplied by each side of the equation to eliminate fractions.Lets take an example of solve z for 7z – (3z – 4) = 12
Here is no multiplication or division, so this will be easy to solve
⇒ 7z – (3z – 4) = 12
⇒ 7z – 3z + 4 = 12
⇒ 4z = 12 – 4
⇒ 4z = 8
⇒ z = 8/4
⇒ z = 2
See, that was so simple, using the mentioned methods, every linear equation can be solved easily.
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Phillip has an 78% average on 4 tests. What does he need on his next test to raise his average to 82%?
Answer:
Below in bold.
Step-by-step explanation:
His total marks for the 4 tests
= 4*78
= 312,
For an average of 82% over 5 tests the total will have to be
82*5 = 410.
So, he needs to score 410 - 312
= 98% in his last test.
help me please please
Answer:
It would be at the coordinates 4,5
Step-by-step explanation:
Read the problem. Identify what you need to know. Then use the information in the problem to solve. Show your work.
Write an equation of the line containing the points (2,4) and (0,-2) .
The equation of line which contains points (2,4) and (0,-2) will be y = 3x - 2.
It is given that a line contains points (2,4) and (0,-2).
We have to find out the equation of the line.
What is the equation of line in slope intercept form ?
The equation of line in slope intercept form is y = mx + c , where m is the slope and c is the y-intercept.
As per the question ;
Line contains points (2,4) and (0,-2)
We know that slope intercept form of line is ;
y = mx + c
∴ (2,4) and (0,-2) must satisfy the equation because the line contains them.
So ,
For x = 2 and y = 4 ;
the equation y = mx + c becomes ;
4 = 2m + c ------ ------ ------ ---- (1)
Also ;
For x = 0 and y = -2 ;
the equation y = mx + c becomes ;
-2 = 0 + c
or
c = -2
Put the value of c in equation 1 ;
i.e.,
4 = 2m - 2
2m = 6
or
m = 3
So ,
the equation of line which contains points (2,4) and (0,-2) will be ;
y = (3 × x) - 2
y = 3x -2
Thus , the equation of line which contains points (2,4) and (0,-2) will be y = 3x - 2.
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Which expressions are equivalent to 7^-2 x 7^6
Step-by-step explanation:
first find the answer of 7^2 and swap it then it will be 1 over 49 multiply with 1 over 7^6
What is the average speed of an
automobile trip of 275 miles that
began at 7:30 in the morning and
ended at 12:30 in the afternoon
Answer:
0.916...miles per hour
Step-by-step explanation:
speed = distance/ time
12:30 - 7:30 = 5hours
275/ 5x60
275/300
=0.9166666667 miles per hour
( you can round this depending on whether it's to the nearest mile or 3 sf or something)
hope this works :)
A weathervane is used to indicate the direction of the wind. If the vane is pointing northeast and rotates 270° , what is the new wind direction?
A weathervane is used to indicate the direction of the wind. If the vane is pointing northeast and rotates 270° southeast is the new wind direction.
A direction of 270 degrees would indicate a wind blowing in from the west.How can a weathervane be used to detect wind?
An arrow and a tail make up the weathervane. The arrow points in the direction of where the wind is coming from, and the tail fin catches the wind. A north wind is present if the arrow on the weathervane is pointing toward the north.What does a weathervane with a wind vane display?
A device used to indicate the direction of the wind is a wind vane, weather vane, or weathercock. It is frequently utilized as an architectural adornment at a building's highest point. The Old English word fana, which means "flag," is where the word vane originates.Learn more about weathervane
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Use the table to determine whether the relationship is proportional.
If so, write an equation for the relationship. represents.
The equation of the proportional relationship in the table attached below is: y = 40x.
How to Determine the Equation of a Proportional Relationship?Equation of a proportional relation is modelled as, y = kx. k = y/x, using any pairs of values for a given table. If the table is represents a proportional relationship, y/x for every pair of values would be the same.
Distance in miles = y
Time in hours = x
k = y/x = 80/2 = 120/3 = 160/4 = 40.
The relation represented by the table is proportional because y/x is the same for all pairs of values.
Substitute k = 40 into y = kx
y = 40x.
Thus, the equation of the proportional relationship in the table attached below is: y = 40x.
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