Answer:
m∠ABD = 126°
Step-by-step explanation:
if both angles make a linear pair then their sum equals to 180°
you can solve for x
m∠ABD + m∠CBD = 180
6x-12 + x+31= 180
7x + 19 = 180
7x = 161
x=23; now solve for
m∠ABD = 6x - 12 = 6(23) - 12 = 126°
The required measure of m ABD is 23.
What are linear pair of angle?In geometry, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other.
Now it is given that,
m ABD = 6x - 12 and m CBD = x + 31
Since, ABD and CBD form a linear pair
m ABD + m CBD = 180°
6x - 12 + x + 31 = 180°
7x + 19 = 180°
⇒ 7x = 180° - 19
⇒ 7x = 161
⇒ x = 161/7
⇒ x = 23
Thus, the required measure of m ABD is 23.
To learn more about linear pair :
https://brainly.com/question/24576134
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If f(x) = 2x + 1, what is f(x) when x = 3?
a)1
b)7
c)13
d)19
Answer:
7
Step-by-step explanation:
part B is the correct answer
Answer:
B) 7
Step-by-step explanation:
f(x)=2(3)+1
2(3)=6
6+1=7
y = 3x = 2
=
- x + 6
What is the exact value of Tangent (StartFraction pi Over 12 EndFraction)
Answer:
a
Step-by-step explanation:
just did it and got right
The required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.
These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operation.
Let,
= [tex]tan(\pi /12) = tan((3-2)\pi /12)[/tex]
[tex]= tan[(3\pi -2\pi )/12]\\=tan(3\pi /2-2\pi /12)\\=tan(\pi /4-\pi /6)\\=\frac{tan(\pi/4)-tan(\pi/6)}{1+tan(\pi/4)tan(\pi/6)}[/tex]
= [tex]\frac{1-1/\sqrt{3} }{1+1*1/\sqrt{3} } \\[/tex]
[tex]=\frac{(\sqrt{3}-1)/\sqrt{3}}{(\sqrt{3}+1))/\sqrt{3}}[/tex]
[tex]=\frac{(\sqrt{3}-1)}{(\sqrt{3}+1)}\\=\frac{(\sqrt{3}-1)(\sqrt{3}+1)}{(\sqrt{3}+1)(\sqrt{3}+1)}\\=\frac{(3-2\sqrt{3}+1)}{(3-1)}\\\\=\frac{(4-2\sqrt{3})}{(2)}\\={(2-\sqrt{3})}\\[/tex]
Thus, the required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.
Learn more about trigonometry equations here:
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I have a radius of 35ft, what is the diameter ?
I have a radius of 15 mm, what is the diameter ?
Answer:
r=35ft, d=70ft. when r=15 mm, d=30mm
Step-by-step explanation:
Radius is half of diameter
2nd try again please help
Answer:
0.8
Step-by-step explanation:
25.4-23.8=1.6
25.4+1.6=27
For two cycles, the increase is 1.6. So, divide that by two to get 0.8. Hope this helps!
Answer:
0.8
Step-by-step explanation:
Each increase is 1.6 apart. Because they're going by two cycles just divide that by two and you get 0.8
proteins are important to the body because they
Answer:
Proteins are important because it improves your immune system.
Step-by-step explanation:
It's a short answer, but I hope it helps loll.
What is the equation linear function in point-slope form M=-1/5 and f(0)=7
Answer:
y-7= -1/5x
Step-by-step explanation:
general formula (y-y1)= m(x-x1)
m is the slope and in this case m=-1/5
(x1, y1) is a point on thhe line in this case is (0, 7) because f(x)=y
substitute your given in the equation
(y-7) = -1/5(x-0)
y-7= -1/5x
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What is the coefficient of the fourth term in this expression?
m3+2kn2+mn2+6k2n
Raise to the power:
[tex](-2abx)^{4}[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]( { - 2abx})^{4} = ({ - 2})^{4} \times ( {a})^{4} \times ({b})^{4} \times ({x})^{4} = \\ [/tex]
[tex]16 {a}^{4} {b}^{4} {x}^{4} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Which number is equivalent to the fraction ?
Answer:
15/7 = 2.14 or 2 1/7
Hope This Helps!
Answer:
2 1/7
Step-by-step explanation:
15/7 is an improper fraction, in the picture, I have shown you the steps to make a proper fraction to improper
A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees
Answer:
0.9962
Step-by-step explanation:
The objective of this question is to determine the proportion of average city temperature that is lower than that of Singapore.
Suppose X is a random variable that follows a normal distribution:
Then;
[tex]X \sim N ( \mu = 20.66, \sigma = 2)[/tex]
[tex]P(X< 26) = P \bigg ( Z < \dfrac{26 - 20.66}{2} \bigg)[/tex]
[tex]P(X< 26) = P \bigg ( Z < \dfrac{5.34}{2} \bigg)[/tex]
[tex]P(X< 26) = P \bigg ( Z < 2.67\bigg)[/tex]
From the z tables;
P(X< 26) = 0.9962
Thus, there is 0.9962 proportion of average city temperature are lower than that of Singapore.
Answer:
0.9962
Step-by-step explanation:
A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees
What proportion of average city temperatures are lower than that of Singapore?
Solution:
The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = 20.66, σ = $2
For the average temperature of Singapore of 26°, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{26-20.66}{2} =2.67[/tex]
From the normal distribution table, P(x < 26) = P(z < 2.67) = 0.9962
Simplify the expression
1/5v+3/10v
[tex]\frac15v+\frac3{10}v=\frac2{10}v+\frac3{10}v=\frac5{10}v=\frac12v[/tex]
Mike purchases a $22,000 car and plans to pay back the loan by making monthly payments over the course of 5 years. The interest rate is 3%. Compute Mike’s monthly payments using the amortization formula.
$383.09
$395.32
$427.91
$442.63
Which of these describes the system of linear equations below?
3x-2y=7
6x-4y=14
a) the system has no solutions.
b) the system has infinitely many solutions.
c) the ration of the-coordinate to the y-coordinate of the only solution is 2 : 1.
d) the difference between the x-coordinate and y-coordinate of the only solution is one.
Given:
The system of equations is
[tex]3x-2y=7[/tex]
[tex]6x-4y=14[/tex]
To find:
The correct statement for the given system of equations.
Solution:
On comparing the given equations and general form of linear equation, i.e., [tex]ax+by+c=0[/tex], we get
[tex]a_1=3,b_1=-2,c_1=-7[/tex]
[tex]a_2=6,b_2=-4,c_2=-14[/tex]
Here,
[tex]\dfrac{a_1}{a_2}=\dfrac{3}{6}=\dfrac{1}{2}[/tex]
[tex]\dfrac{b_1}{b_2}=\dfrac{-2}{-4}=\dfrac{1}{2}[/tex]
[tex]\dfrac{c_1}{c_2}=\dfrac{-7}{-14}=\dfrac{1}{2}[/tex]
Since, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex], therefore, the two equations are equivalent and the system has infinitely many solutions.
Hence, the correct option is b.
A question on a test asks students to find the speed at which a car travels. The graph shows a proportional relationship between the distance traveled in miles and time in hours. Billy incorrectly says that the speed of the car is 1/60 mile per hour. What is the speed of the car? What error might Billy have made?
Answer:
Step-by-step explanation:
Since, speed of a car = [tex]\frac{\text{Distance traveled}}{\text{Time taken}}[/tex]
From the graph attached,
A point (1, 60) lies on the line shown in graph.
At this point speed of the car = [tex]\frac{\triangle y}{\triangle x}[/tex]
[tex]=\frac{60-0}{1-0}[/tex]
= 60 miles per hour
But Billy says the speed of the car is [tex]\frac{1}{60}[/tex] miles per hour.
So the error in the Billy's answer is that he has used the wrong formula to calculate the speed.
(As per Billy, speed = [tex]\frac{\text{Time taken}}{\text{Distance covered}}[/tex])
PLZZZZ HELPPPP THIS IS TIMED!!!
Are the two figures below similar?
A No, the sides are not proportional.
B Yes, the sides are proportional.
C Yes, the sides are congruent.
D No, the sides are not congruent.
Answer:
C. C Yes, the sides are congruent.
Tony's recipe for soup calls for 11/4 teaspoons of salt. He wants to use 1/2 that
amount. How much salt will he use?
Answer:
11/8
Step-by-step explanation:
Simplify 11/4 = 2 3/4
half of 2 = 1
half of 3/4 = 3/8
1 3/8 changed to an inproper fraction = 11/8
Which ordered pair is a solution of the equation? Y = 7x - 3
Answer:
y-intercept: ( 0 , − 3 )
x-intercept: ( 3 7 , 0 )
Step-by-step explanation:
What is the y intercept y=-4-3/2x
Answer:
should be -4
Step-by-step explanation:
multiply 532 and 734 using natural logarithms
i don’t know how to do this
Answer:
A2: 55
A1: 99-55+x:180
X:26
Henry wants to join a book-of-the-month club. The first club costs $40 to join and $10 per book. The second club costs $15 per book and has no fee to join. How many books would need to be purchased from each club for the clubs to cost the same?
Answer:
Step-by-step explanation:
For club 1 - 2 book
For club 2 - 4 books
Club 1 has a $40 fee + 2 books = $60 in total
Club 2 has a $0 fee + 4 book = $60 in total
I'm pretty sure I'm right
Answer:
There would have to be 2 books purchased from the first club. Then, there would have to be 4 books purchased from the second club.
Step-by-step explanation:
1st club. (cost of club) 40$ + (cost of 2 books) 20$ = 60$.
2nd club. (cost of books) 15$ x (how many books) 4 = 60$
Graph this system of equations on the coordinate plane
y= -3x+3
y= 1/2x -4
Answer:
see the figure
Step-by-step explanation:
see the figure
Answer:
(2,-3)
Step-by-step explanation:
Desmos graphing calculator
1 + (1 – cos θ )(1 + cos θ )( csc2 θ )
the 2 is to the power
Answer:
answer = 2
Step-by-step explanation:
1 + (1 – cos θ )(1 + cos θ )( csc^2 θ )
1 + (1 - cosθ)(1 + cosθ)(csc^2θ)
1 + (1 - cos^2θ)(csc^2θ)
1 + (sin^2)(1/sin^2)
1 + sin^2/sin^2
1 + 1
2
Find the difference between 7/10 and 1/5.
Answer:
the answer is [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
(Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.)
hope this helps :)
What is the slope of the line that passes through (2,5) and (6, 7)?
Answer:
1/2
Step-by-step explanation:
Slope is the change in y over the change in x so:
(7 -5) /(6-2) = (2)/(4) = 1/2
3. Lim
x-infinity
x² +6x²+1/
x²+3
[AP]
=======================================================
Explanation:
Let n be the degree of the numerator
Let d be the degree of the denominator
If n < d, then the limit at infinity is always 0. This is because the denominator is growing faster compared to the numerator. I suggest looking at a table of values to see this in action.
In this case, n = 3 and d = 4, so we see that n < d is the case here. So that's why the answer is 0.
----------------------
Side notes:
If n = d, then the limit at infinity is equal to a/b, where a and b are the leading terms of the numerator and denominator. If n > d, then the numerator is growing faster than the denominator, meaning the ultimate result is infinity.Evaluate the expression when x = -6
Answer:
−39
Step-by-step explanation:
−6^2+5−6−2
=−36+5−6−2
=−31−6−2
=−37−2
=−39
Answer:
4
Step-by-step explanation:
(-6)^2 + 5(-6) -2
= 36 - 30 - 2
= 6 - 2
= 4
Is this the one you meant?
What is the slope of this line?
Enter your answer as a fraction in simplest term in the box.
help me I'll make brainiest
========================================
Explanation:
The ratio QR : RS : ST is equal to 1 : 4 : 5
This means we have the following three equations
QR = x RS = 4x ST = 5xFor some positive number x.
Note the ratio QR : RS : ST turns into x : 4x : 5x, which reduces to 1 : 4 : 5 when we divide all three parts by x .
Along with those three equations, we'll also use QT = 40 as well.
Now turn to the segment addition postulate. Plug in the equations mentioned earlier, and solve for x .
QT = QR + RS + ST
40 = x+4x+5x
40 = 10x
10x = 40
x = 40/10
x = 4
So we know that
QR = x = 4
RS = 4x = 4*4 = 16
ST = 5x = 5*4 = 20
-----------
As a check,
QR + RS + ST = 4 + 16 + 20 = 40
which is the same as QT = 40
Therefore, we've confirmed that QR + RS + ST = QT is correct and we've confirmed our answers.