The value of the angle A is; ∠A = 74°.
What is meant by the supplementary angles?The term "supplementary angles" refers to a pair of angles which always add up to 180°. These two angles are termed supplements of one another. In other words, because unless Angle 1 + Angle 2 = 180°, angles 1 and 2 are supplementary. Angles 1 and 2 are referred to as "supplements" in this case.Supplementary angles are classified into two types.supplementary angles adjacentNon-adjacent supplementary anglesFrom the stated question;
∠A = 2X +27 and ∠B = 5X -1.
From the property of supplementary angles;
∠A + ∠B = 180
Put the values;
2X +27 + 5X -1 = 180
On simplification;
7X = 154
X = 22
Put the value of X in ∠A = 2X +27.
∠A = 2 x 22 + 27
∠A = 74°.
Therefore, the measure of the angle A is ∠A = 74°.
To know more about the supplementary angles, here
https://brainly.com/question/12919120
#SPJ9
Graph the result of the following transformation.
f(x) + 6
Step-by-step explanation:
I cannot draw here but f(x) + y simply means everything moves up by 6 units.
the line is parallel to the original line and goes now through the points (0, 4) and (1, 8).
What is the logarithmic form of each equation?
b. 8/27 = (2/3)³
The expression becomes 3log₁₀2-3log₁₀3
Logarithm is a mathematical tool used to make high value calculations simple.
It is the exponent to the power of which a number must be raised to give a certain result.
Some of the important formulas in logarithm are:
logₐb where a is considered as base of the logarithm and b is the argument
is given as nlogab
when base and the argument is same , log is given as 1
logₐbc where a is the base is given as logₐb + logₐc
logₐbc where a is the base is given as logₐb-logₐc
Now it is given to us to find the logarithmic form of 8/27=(2/3)^3
Let us consider the base of the logarithm to be 10
thus log₁₀8/27=log₁₀(2/3)^3
log₁₀8/27=log₁₀(2/3)^3
We know that logₐb can be written as log₂b/log₂a
Hence
log₁₀8/27= 3(log2/3)
log₁₀8/27=3(log2-log3)
log₁₀8/27= 3log2-3log3
Hence the expression becomes 3log2-3log3
For further reference:
brainly.com/question/20785664?referrer=searchResults
#SPJ4
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
The graph shown represents a linear function.
Which of the following equations represents the graph?
A. Y= - 5/3x -5
B. Y= - 5/3 x -3
C. Y= - 3/5x -5
D. Y= - 3/5x -3
Is the equation: x² + y² = 9
a function. Explain.
Answer: x² + y² = 9 is not a function
Step-by-step explanation: In order for an equation to represent a function any single value of x must have at most one corresponding value of y which satisfies the equation. and therefore the equation is not a function.
x^2+y^2=9
if for example x=0
There are two values for y(namely+3 and -3) which satisfy the equation and therefore the equation is not a function
Consider the equation |4x + 20 = 6x. Without calculating how do you know that x=-2 is an
extraneous solution?
Without calculating you would that x=-2 is an extraneous solution because an absolute value inequality usually two possible solutions.
Solution of absolute value inequalities
An absolute value inequality is an expression with absolute functions as well as inequality signs. This type of inequality usually have two solutions.
The given equation
|4x + 20| = 6x
The solution to the absolute value inequality above is calculated as follows;
4x + 20 = 6x ------ (1)
-4x - 20 = 6x ------ (2)
from equation (1) above, the value of x is calculated as follows;
2x = 20
x = 20/2 = 10
from equation (1) above, the value of x is calculated as follows;
-10x = 20
-x = 20/10
-x = 2
x = -2
Thus, without calculating you would that x=-2 is an extraneous solution because an absolute value inequality usually two possible solutions.
Learn more about absolute value inequality here: https://brainly.com/question/20432726
#SPJ1
The equation shown has a missing value. Answer parts a through c.
In linear equation, the missing value is a 16.
According to the statement
We have to find that the value of the linear equation.
So, For this purpose, we know that the
The definition of a linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
From the given information:
It is given that:
The equation shown includes a missing value.
-2(2x - ?) + 1 = 17 - 4x
Applying the distributive property:
-4x + ? + 1 = 17 - 4x
? + 1 = 17
There aren't any values that the equation has only 1 solution or unique solutions.
For no solution the missing value are often anything except 16
? + 1 = 17
? = 17 - 1
? = 16
Thus, there aren't any values that the equation has just one solution for no solution the missing value are often anything except 16.
So,In linear equation, the missing value is a 16.
Learn more about linear equation here
https://brainly.com/question/4074386
Disclaimer: This question was incomplete. Please find the full content below.
Question:
The equation shown has a missing value. -2(2x-?)+1=17-4x. For what missing value(s), if any, does the equation have exactly one solution?For what missing value(s), if any does the equation have no solution?
#SPJ9
Factor each expression.
5 x²+6 x+1
Answer:(5x+1)(x+1)
Step-by-step explanation:
Factor 5x2+6x+1
5x2+6x+1
=(5x+1)(x+1)
hope its correct by my correction
Write a polynomial function with rational coefficients and the given roots.
-i, 4 i
The polynomial function is x²- 3xi + 4
What are polynomial functions ?In mathematics, polynomial function can be defined as the equation which consist of coefficient, variables and exponents. A polynomial equation has positive numbers as their exponent which is also known as its degree. All the equations such as quadratic equation, cubic equation which has non negative number as their powers are part of polynomial equation.
Types of polynomial equations :
Monomial equationBinomial equationCubic EquationsLinear PolynomialQuadratic PolynomialSome examples of polynomial equation are :
2x+53x = 93x² + 5x+19(x-3)³According to question,
roots are -i , 4i
Thus the factors are :
(x - (-i) ) ( x - (4i) )
=> ( x + i )( x - 4i )
=> x²- 4xi + xi - 4i²
=> x²- 3xi + 4 ( as i² = -1)
Thus polynomial function for given roots is x²- 3xi + 4
To know more about polynomial functions, visit:
brainly.com/question/17822016
#SPJ4
In the proof below, determine which reason should go in each line.
Given: 5x+4)= 6x-5
Prove: x = 25
I don't know the answer
Answer:
21
Step-by-step explanation:
→ Substitute in the values
3³ + 11 × 2 - ( 4 × 7 )
→ Simplify
27 + 22 - 28
→ Evaluate
21
5+5/3-3/2 giải hộ mình với cảm ơn bạn nhiều
Answer:
5.16666666,...
Step-by-step explanation:
5 + (5/3) - (3/2)
5 + 1.66666666667 - 1.5
5 + 0.16666666666
5.16666666666,...
Nhân chia trc cộng trừ sau
Answer:
31/6 ( or 5 1/6)
Step-by-step explanation:
5 + 5/3 - 3/2 =
5 + 1/6 =
31/6
prove that triangles abc and def are congruent
Answer:
Below.
Step-by-step explanation:
In Δ ABC m < B = 180 - (50+70) = 60 degrees.
in Δ DEF m < D = 180- ( 60 + 70) = 50 degrees.
BC = DE ( both are 10 cm).
m < A = m < F ( both 70 and directly opposite BC and DE)
m < C = m < D (corresponding angles and both = 50 degree)
Therefore, Δ's ABC and DEF are congruent by AAS.
Write a compound inequality for the graph shown below.
Use x for your variable.
Check the picture below.
11. Reflected over the x-axis, 2 units left and down 5 units. what is the equation?
Answer: its (2,5) or (2,-5)
Step-by-step explanation:
basically it depends on the location like for example: if a dot is in the Q4 area which is (-x,-y) or Q3 is (-x,y) and Q2 is (x,-y) and Q1 is (x,y) so yeah hope it helps
A four-foot tree was planted. It will grow 2.5 feet each year. The relationships between x, the number of years since the tree has been planted, and y, the projected height of the tree is a linear relationship.
Write an equation to represent this relationship.
The relation between these two variables can be represented by the linear equation:
y = 4ft + 2.5ft*x
How to write an equation that represents this relationship?We know that the original height of the tree was 4 ft, and it grows 2.5 feet each year.
Then if we define the variables:
y = height.
x = number of years.
The relation between these two variables can be represented by the linear equation:
y = 4ft + 2.5ft*x
This linear equation relates the height of the tree as a function of the number of years since it was planted.
Learn more about linear equations:
https://brainly.com/question/1884491
#SPJ1
Answer:
y = 4ft + 2.5ft*x
Step-by-step explanation:
A hose fills a tank at a rate of 24 gallons per minute.
What is the rate in quarts per second?
Enter your answer in the box.
Answer:
1.6 qt/s
Step-by-step explanation:
You want the fill rate of 24 gal/min converted to quarts per second.
Units conversionTo convert units, multiply by a factor that has units you want and cancels units you don't want. The numerator value and the denominator value of the conversion factor should be equal:
4 qt = 1 gal
1 min = 60 s
Your conversion is ...
[tex]\dfrac{24\text{ gal}}{\text{min}}=\dfrac{24\text{ gal}}{\text{min}}\times\dfrac{4\text{ qt}}{1\text{ gal}}\times\dfrac{1\text{ min}}{60\text{ s}}=\dfrac{24\cdot4}{60}\,\dfrac{\text{qt}}{\text{s}}=\boxed{1.6\text{ qt/s}}[/tex]
What is the constant of proportionality in the equation 70t = m?
Answer:
Step-by-step explanation:
The constant of proportionality is 70.
x^4 +36+8x^2
Factorize it
Answer:
^{4}+36+8x^{2}
x^{4}+8x^{2}+36
Step-by-step explanation:
Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.
i hope this helped
Triangle PQR, with vertices P(-9,-7), Q(-4,-8), and R(-5,-5), is drawn on the
coordinate grid below.
-10
P
R
-3
T
ch
9
5
9
-10
What is the area in square units of triangle POR2
Answer:7
Step-by-step explanation:
Triangle fits inside of a rectangle (A=15).
If the rectangle is drawn around the triangle, three other right triangles are formed outside of it. Find the area of each right triangle (4, 1.5, and 2.5), add those together, and subtract from the area of the rectangle.
(15 - 8 = 7)
Show work please and thank you.
Step-by-step explanation:
2 things to remember :
the sum of all angles in a triangle is ashtrays 180°.
the sum of all angles around a point on one side of a line is also always 180° (because that represents a half-circle).
let's call the 3rd angle in the triangle "innerQ".
so,
180 = (4x + 13) + 19 + innerQ
180 = (7x + 2) + innerQ
as innerQ is also the supplementary angle of 7x + 2.
because of that, we can now say
(4x + 13) + 19 + innerQ = (7x + 2) + innerQ
4x + 13 + 19 = 7x + 2
4x + 32 = 7x + 2
30 = 3x
x = 10
so, the angle S = 4×10 + 13 = 40 + 13 = 53°
Let g(x)=3 x+2 and f(x)= x-2 / 3 . Find each value.
g(f(-4))
The value for g(f(-4)) = -4
What are the domain of the function g(f(-4))?
Given:
g(x) = 3 x+2 and f(x)= x-2 / 3
Take, f(x) = x-2 / 3
substitute x = -4 into the function f(x). Then:
f(-4) = (-4)-2/ 3
f( -4) = -6/3
f( -4) = -2
Now, the next step is to substitute f(-4) into the function g(x)
g(x) = 3 x+2
g(f( x)) = 3 x+2
g(f(-4)) = 3(-2) +2
g(f(-4) = -6+2
g(f(-4) = -4
To learn more about domain, visit
brainly.com/question/14517703
#SPJ4
Yall I'm really struggling can you help me out
The quotient 49/109 ÷ 28/37 represents a quotient expression. This is because 49/109 is the dividend and the number 28/37 is the divisor. The quotient of 49/109 ÷ 28/37 is 259/436
How to complete the blanks?The quotient expression is given as
49/109 ÷ 28/37
The above expression is a quotient expression such that
Dividend = 49/109 Divisor = 28/37To calculate the quotient, we start by rewriting the expression as a product
So, we have:
49/109 ÷ 28/37 = 49/109 * 37/28
Divide 49 and 28 by 7
So, we have
49/109 ÷ 28/37 = 7/109 * 37/4
Multiply the numerator and the denominator
So, we have
49/109 ÷ 28/37 = 259/436
Hence, the complete statement is
The quotient 49/109 ÷ 28/37 represents a quotient expression. This is because 49/109 is the dividend and the number 28/37 is the divisor. The quotient of 49/109 ÷ 28/37 is 259/436
Read more about quotient expression at
https://brainly.com/question/629998
#SPJ1
You are given that f(x)=x²+4 and g(x)=3 x-1 .
c. What is the domain of your answer to part (b)?
The required domain of g ( x ) = 3 x - 1 is R ( real nos . ) .
Given : g ( x ) = 3 x - 1
To find : Domain of function
Domain : The set of all possible values of input variable ( x in this case ) is called the domain of the function .
Calculating domain :
g ( x ) = 3 x - 1
Since , it is a polynomial function with degree 1 , therefore it's domain will be real nos .
Hence , domain of g ( x ) = 3 x - 1 is R .
To learn more on domain and range follow link :
https://brainly.com/question/2264373
#SPJ4
17. Callie's cat lost 41/2 pounds before having
surgery. Two weeks after having surgery, her
cat gained 2 7/8 pounds. What was the total
change in weight of Callie's cat?
The total change in the weight of Callie's cat will be - 1 5/8 pounds.
Callie's cat lost weight = 4 1/2 pounds
Lost = 9 / 2 pounds
Cat gained the weight = 2 7/8 pounds
Gained = 23 / 8 pounds
Net change = - 9 / 2 pounds + 23 / 8 pounds
= - 36 / 8 pounds + 23 / 8 pounds
= - 13 / 8 pounds
= - 1 5/8 pounds
She lost the net weight of 1 5/8 pounds.
Therefore, the total change in the weight of Callie's cat will be - 1 5/8 pounds.
Learn more about gain here:
https://brainly.com/question/25896797
#SPJ9
Solve each inequality using a table.
(Hint: For more accurate results, set ΔTbl=0.001 .)
5(3)x ≤ 2
After solving the given inequality the answer is x∈(-∞, 2/15].
What precisely do we mean by inequality?In mathematics, an inequality is a relationship that arises from a non-equal comparison of two numbers or other mathematical expressions.It is most commonly used on a number line to compare the sizes of two numbers.So,
Given: 5(3)x ≤ 2Then,
5(3)x≤215x≤2x∈(-∞, 2/15]Therefore, after solving the given inequality the answer is x∈(-∞, 2/15].
Know more about inequality here:
brainly.com/question/24372553
#SPJ4
eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. of the aircraft that are discovered, 65% have an emergency locator, whereas 82% of the aircraft not discovered do not have such a locator. suppose a light aircraft has disappeared. (round your answers to three decimal places.)
PLEASE HELP ASAP!!!
Will give 15 points!!
Jack cleans windows for extra income. He charges $3.00 for a main floor window and $5.00 for a second-story window. How much will he earn if he cleans a house with 7 main floor windows and 6 second-story windows?
Answer:
51
Step-by-step explanation:
$3 time 7 = $21
$5 time 6 =30
21+30 = $51
pleaseeee help
round to the nearest decimal point
Answer:
the answer is 43.1
Step-by-step explanation:
because i searched it up
Identify the horizontal asymptote of f(x) = 4 x over 7.
y = 0
y = 4 over 7
y = 7 over 4
No horizontal asymptote
Answer:
Step-by-step explanation:
This is a straight line with positive gradient 4/7
There is no horizontal asymptote.