What is the m∠ABC?
1)m∠ABC = 60°
2)m∠ABC = 67°
3)m∠ABC = 120°
4)m∠ABC = 127°
Answers
we are given
m∠BCD =67
and m∠BDC=60
we know that
m∠ABC is exterior angle
m∠BCD and m∠BDC are interior angles
exterior angle is sum of interior angles
so, we can write it as
m∠ABC=m∠BCD+m∠BDC
now, we can plug values
and we get
m∠ABC=60+67
m∠ABC=127
so, option-4.........Answer
Related Questions
Which pair of measurements is equivalent?
8,600 mg, 86 g
2,500 g, 250 kg
3.4 kg, 3,400 g
480 g, 4.8 mg
Answers
8,600 mg = 86,000 mg; So now, the first one is not equivalent.
2,500 g = 250,000 g; Not that one either.
3.4 kg = 3.4 kg; This one is correct. We can check by checking the last pair.
480 g = .0048 g; Nope.
So 3.4 kg, 3400 g would be the correct answer.
Answer:
3.4 kg, 3,400 g
How long is the base of a parallelogram if it has an area of 100 m2 and a height of 5 m? Enter your answer in the box.
Answers
Area = Base x Height
We have two values which are given;
Area = 100 m²
Height = 5 m
Now, we have to plug in the given values to find the missing, which in this case, is the base
100 = Base x 5
To find the value of base, we have to bring 5 to the other side, since it is multiplied, we do the reverse function, which is division.
[tex] \frac{100}{5} = \frac{5(Base)}{5} [/tex]
5 and 5 cancels out in the right hand side
20 = Base
The base is 20 m long
What are the solutions to the equation?
n^2−8n+16=25
Enter your answers in the boxes.
n1=
n2=
Answers
The equation becomes,
n^2-8n-9 = 0
Factoring the equation now gives you (n-9)(n+1) = 0.
In order to find the solutions to this equation, find values of 'n' that make the equation equal to 0.
In this case, if n is 9 or -1, we get the answer 0.
Proof: (9-9)(n+1) => (0)(n+1) = 0
or (n-9)(-1+1) => (n-9)(0) = 0.
Hope this made sense! If it didn't, please ask questions!
Answer:
help
Step-by-step explanation:
Goran runs 6 miles in 57 minutes how many miles does he run per minute?
Answers
57 = 6x
x = 0.11 miles per minute
helppppppppppppppppppppppp
Answers
log base 2 of 100 is about 1/4 the value of log base 6 of 20
Explanation:
We will get the value of each of them separately and then compare these values.
log base 2 of 100 = 6.6438
log base 6 of 20 = 1.6719
Comparing these values, we will find that:
log base 2 of 100 is about 1/4 the value of log base 6 of 20
Hope this helps :)
△JKL∼△QRS , JK is 8 centimeters, QR is 12 centimeters, and RS is 9 centimeters.
What is KL ?
Enter your answer in the box.
Answers
Answer:
The measure of KL is 6 centimeters.
Step-by-step explanation:
It is given that △JKL∼△QRS.
The corresponding sides of two similar triangles are proportional.
[tex]\frac{JK}{QR}=\frac{KL}{RS}[/tex]
[tex]\frac{8}{12}=\frac{KL}{9}[/tex]
[tex]8\times 9=KL\times 12[/tex]
Divide both sides by 12.
[tex]KL=\frac{72}{12}[/tex]
[tex]KL=6[/tex]
Therefore we can say that if △JKL∼△QRS, then the measure of KL is 6 centimeters.
Answer:
6
Step-by-step explanation:
He did too much math lol, a simple way of this is by dividing both sides initially.
12/9 = 1.5
9/1.5 = 6
I need help ASAP I will give brainliest if correct
Answers
we know that
the property of cyclic quadrilaterals for which opposite angles are supplementary
then
m∠A°+43°=180°------------> m∠A=180°-43°=137°
the answer is m∠A=137°
Part 2) Quadrilateral ABCD is inscribed in a circle. What is the measure of angle A?
we know that
the property of cyclic quadrilaterals for which opposite angles are supplementary
then:
m∠A+m∠C=180∘
(2x+9)+(3x+1)=180---------------> 5x+10=180
x=(180-10)/5=34
m∠A=2x+9-------------> 2*34+9=77°
the answer is m∠A=77°
Math question help :)
Answers
Use corresponding parts of the two triangles.
If two triangles are similar, then the lengths of corresponding parts are proportional.
The small triangle has a vertical side that measures 6 ft. That side corresponds to the height of the tree, h, in the large triangle.
The small triangle has a horizontal side that measures 10 ft. That side corresponds to the side of the large triangle that measures 40 ft.
6 ft corresponds to h
10 ft corresponds to 40 ft
[tex] \dfrac{6}{h} = \dfrac{10}{40} [/tex]
Answer:
Step-by-step explanation:
I think its D.
help me please asap and plz be correct :)
Answers
.. AI = BI
.. 3x +7 = 5x -11
.. 18 = 2x
.. 9 = x
Then
.. AI = 3x +7
.. = 3*9 +7
.. = 34
AI = 34
Jenna throws a stone off a pier and into the ocean. The graph models how the height of the stone, above sea level, changes over time.
Select from the drop-down menu to interpret the decreasing interval of the graph.
The stone was falling toward the water from
https://static.k12.com/nextgen_media/assets/8090396-NG_AL1_O_07_012_Quiz_05.png
Answers
This should get you a hundred on the 4.11 quiz. :)
*Please answer*
Don't understand. Please help.
Answers
It is the third option, Product of Powers
I have attached an image that may help you
What is the name of a ray that divides an angle into two equal angles?
Answers
Suppose that an individual has a body fat percentage of 16.4% and weighs 153 pounds. how many pounds of her weight is made up of fat? round your answer to the nearest tenth.
Answers
So multiply 0.164 times 153 to get 25.1lbs of fat.
You have a cd-rw drive that advertises speeds of 32x/12x/48x. what is the read speed of the drive?
Answers
Knowing this we can tell that our CD-RW drive has:
32x of writing speed
12x of rewriting speed
48x of reading speed
We can conclude that the reading speed of our CD-RW drive is 48x
The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. What describes the domain of (gºf)(x)?
Answers
Therefore the Domain you are looking for in words is every x that can be put into f(x) and that gives you a value y that can be put in g(y).
Mathematically:
Dom (g°f) = {x ∈ Dom(f) | f(x) ∈ Dom(g)}
In your case:
Dom (g°f) = { x ∈ R - {7} | f(x) ∈ R - {-3} }
A rectangle is 1/2 feet long and 3/4 feet wide. What is the area of the rectangle?
Answers
The area of the rectangle having a length of 1.2 feet and a width of 3/4 feet is 3/8 sq feet.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know the area of a rectangle is (length×width).
Given, A rectangle is 1/2 feet long and 3/4 feet wide.
Therefore, The area of this rectangle is,
= (1/2×3/4) sq feet.
= 3/8 sq feet.
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Four consecutive integers sum to 70. What is the least of the 4 integers?
Answers
Analyze the key features of the graph of the quadratic function f(x) = -x2 + 2x + 10. A. Does the parabola open up or down?
B. Is the vertex a minimum or a maximum?
C. Identify the axis of symmetry, vertex and the y-intercept of the parabola.
Answers
the parabola open down
the vertex is a maximum
the axis of symmetry is the y axis
the y-intercept of the parabola.is the point (0,10)
SOS
Answer
A: Down
B: Max
C:
AOS: x = 1Vertex: (1, 11)Y-Int: (0, 10)Step-by-step explanation:
A: If the leading coefficient (a) is positive, the graph opens UP. If it is negative, the graph opens DOWN.
B: Anytime the graph goes UP, there's a minimum. Anytime the graph goes DOWN, there's a maximum
C:
AOS: [tex]x = \frac{-b}{2a}, a=-1, b=2, c=10[/tex]
Vertex: [tex](\frac{-b}{2a}, y)[/tex]
Y-INT: let x=0 and solve for y. The coordinate of the y-intercept is (0, y).
Hope this helps!!
how many fluorine atoms are found in 1.92 grams of AsF3?
Answers
The molar mass of AsF3 is 131.918 g/mole so
1.92 g * (1 mole)/(131.918g) = .0146 moles AsF3
Each mole of AsF3 has 6.02 x10^23 molecules of AsF3 and each molecule of AsF3 has 3 flourines, so you need to convert from moles to molecules AsF3 to atoms of F
0.146 moles AsF3 * (6.02 x 10^23 molecules AsF3)/(1 mole AsF3) * (3 atoms F)/(1 molecule AsF3) = 2.64 x 10^22 atoms F
How could you find an equation of a quadratic function with the zeroes of -3 and 1?
Answers
The simpliest quadratic function is y=(x+3)(x-1)
or y=x²+2x-3
a basketball player made 27 free throws in her last 45 tries. what is the experimental probability that she will make her next free throw?
Answers
Bess ur day.
Answers from anybody please??
Answers
.. (27 in^2)*(8/12)^2 = 27*(4/9) in^2 = 12 in^2
I need to spend exactly £200, how?
Answers
Write an expression for the following situation and solve. Mr. Simms bought 20 pencils. He used 1/4 of the pencils and then gave 4 to his students. How many total pencils does Mr.Simms use and give away? Show your work.
Answers
1/4 of 20 pencils are 5 pencils.
Since he gave away 4 pencils,
Total = 5 + 4 = 9
Mr. Simms use and give away total 9 pencils.
Mr. Simms used 1/4 of the 20 pencils he bought, which equals 5 pencils, and gave away an additional 4 pencils, totaling to 9 pencils used and given away.
To solve how many total pencils Mr. Simms uses and gives away, we first find out how many pencils he used by taking 1/4 of the 20 pencils he bought. To do this, we multiply 20 by 1/4:
20 times 1/4 = 5
Mr. Simms used 5 pencils. He also gave away 4 pencils to his students. To find the total number of pencils used and given away, we add the pencils used to the pencils given away:
5 (used) + 4 (given away) = 9
Therefore, Mr. Simms used and gave away a total of 9 pencils.
Today a car is valued at $42000. The value is expected to decrease at a rate of 8% each year. Choose the equation that can be used to solve the problem.
A.) y=42000(1+.08)^6
B.) y=42000(1+6)^8
C.) y=42000(1−.08)^6
D.) y=42000(1−.8)^6
And then: What is the value of the car expected to be 6 years from now?
This is the only question I don't understand, someone help please!
Answers
C.) y=42000(1−.08)^6
as for what it will cost in six years:
25466.91
not sure if you have to include the decimal or round it.
Answer:
Option (c) is correct.
[tex]y=42000(1-0.08)^6[/tex] equation that can be used to solve the given problem and the value of the car expected to be 6 years from now is $25466.91
Step-by-step explanation:
Given : Today a car is valued at $42000. The value is expected to decrease at a rate of 8% each year.
We have to choose the equation that can be used to solve the given problem.
We know
Depreciation formula given as,
[tex]A=P(1-\frac{r}{100} )^n[/tex]
Where A is the amount value after depreciation.
P is present value
r is depreciate rate.
n is time period.
Given : P = 42000 and r= 8% also given time period is 6.
Substitute , we have,
[tex]y=42000(1-\frac{8}{100} )^6[/tex]
Simplify , we have,
[tex]y=42000(1-0.08)^6[/tex]
Simplify we get,
[tex]y=25466.91[/tex]
Thus, [tex]y=42000(1-0.08)^6[/tex] equation that can be used to solve the given problem and the value of the car expected to be 6 years from now is $25466.91
BRAINLIESTTT ASAP!!!!!!!!!
Answers
the answer would be -3.5 and -0.5
the first choice is the correct one
Which graph represents a phase shift of pi/2 units right for the graph of y=cos x
Answers
Solution:
we are given that [tex]y=cos x[/tex]
Here we are going to plot two curves one for cosx and the othere also of cosx but after making a phase shift of [tex]\pi/2[/tex]
When we do a phase shift by an angle of theta , in that case actaully we add angle negative theta .
For example when we shift the phase of sinx by [tex]\pi/2[/tex] we get [tex]sin(x-\pi/2).[/tex]
Hence we are going to plot the curve of
[tex]y=cosx\\ \\ y=cos(x-\pi/2)=sinx\\[/tex]
Hence the correct option is B.
If cos B = 7 over 22, then which of the following is correct?
a. csc B = 7 over 22
b. csc B = 22 over 7
c.sec B = 7 over 22
d.sec B = 22 over 7
Answers
Hope this helped : )
A thief steals an ATM card and must randomly guess the correct three-digit pin code from a 10-key keypad. Repetition of digits is allowed. What is the probability of a correct guess on the first try?
Answers
The probability of a correct guess on the first try will be [tex]0.001[/tex] .
What is Probability ?Probability is the ratio of number of favorable outcome to the
i.e. Probability [tex]P(E)=\frac{number\ of\ favorable\ outcome}{Total\ number\ of\ outcomes.}[/tex]
We have,
An ATM Card having three-digit code.
Repetition of digits is allowed.
So,
As Repetition is allowed, and we have [tex]10-[/tex]key keypad, and have to guess [tex]3[/tex] digit code,
Then
Total number of outcomes [tex]=10*10*10=1000[/tex]
And
Number of favorable outcome [tex]=1[/tex]
So,
Probability [tex]P(E)=\frac{number\ of\ favorable\ outcome}{Total\ number\ of\ outcomes.}[/tex]
[tex]P(E)=\frac{1}{1000}[/tex]
[tex]P(E)=0.001[/tex]
So, the Probability of correct guess is [tex]0.001[/tex] .
Hence, we can say that the probability of a correct guess on the first try is [tex]0.001[/tex] .
To know more about probability click here
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Tiny's Tattoo Parlor sold 389 tattoos this month. 43 of those tattoos were arm tattoos. Based on this data, what is a reasonable estimate of the probability that the next customer does not get an arm tattoo?
Answers
Answer:
346/389
Step-by-step explanation:
correct on khan academy!
The reasonable estimate of the probability that the next customer does not get an arm tattoo is 346/389.
What is Probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1.
Here, Based on the given conditions, formulate
Probability = Favorable outcome / Total outcome
Calculate the sum or difference: (389-43)/389
get the result: 346/389
Thus.the reasonable estimate of the probability that the next customer does not get an arm tattoo is 346/389.
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