Use the following figure to answer the question. 1 and 4 are _____ angles. corresponding vertical supplementary adjacent
Answers
Hope this helps! Have a blessed day!
Answer:
vertical angles
Step-by-step explanation:
We need to identify ∠1 and ∠4 are which type of pair of angles .
Since we are given the options :
1, correspoding angles: Corresponding Angles
When two lines are crossed by another line (which is called the Transversal), the angles in matching corners are called corresponding angles.
2. vertical angles : The angles opposite each other when two lines cross. They are always equal.Vertical" refers to the vertex (where they cross), NOT up/down
3. supplementary angles : Two Angles are Supplementary when they add up to 180 degrees
4. adjacent angles:Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
Thus according to definitions ∠1 and ∠4 are vertical angles
Related Questions
Dante Michael's charge account statement showed a previous balance of $277.45 a finance charge of $3.22 new purchases of $299.33 and a payment of $316.00. what is the new balance?
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277.45+3.22+299.33-316.00 = 264
The new balance is $264.
Measure the length of the top of your desk in centimeters.describe how you found the length
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One number is 33 more than another number. The quotient of the larger number and smaller number is 5 and the remainder is 1. Find the numbers.
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Final answer:
The two numbers in question are 8 and 41.
Explanation:
Step-by-Step Solution to Find the Two Numbers
Let the smaller number be x. Thus, the larger number would be x + 33. According to the problem, the larger number divided by the smaller number gives a quotient of 5 and a remainder of 1. We can represent this information using the following equation:
(x + 33) = 5x + 1
This equation states that when the larger number is divided by the smaller number, we obtain a quotient of 5 and a remainder of 1.
Now, let's solve the equation for x:
Subtract 5x from both sides of the equation: (x + 33) - 5x = 1Simplify the equation: -4x + 33 = 1Subtract 33 from both sides: -4x = -32Divide both sides by -4: x = 8Since we have found the smaller number to be 8, the larger number is:
8 + 33 = 41
Therefore, the two numbers are 8 and 41.
The modulus operator would confirm our solution since 41 % 8 does indeed yield a remainder of 1, as stated in the problem.
What are the zeros of the function f(x)=3x^2-3x-6
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y = 3(x^2 - x - 2) Now it is much easier.
y = 3(x - 2)(x + 1)
f=11gh solve the formula for the variable h.
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The formula f=11gh can be solved for h by dividing both sides of the equation by 11g. This will give h = f / (11g), where h is isolated on one side of the equation.
Explanation:To solve the formula f=11gh for the variable h, we need to isolate h on one side of the formula. The current formula tells us that the value of f is equal to the result of 11 times g times h.
As our goal is to solve for h, we can do this by dividing both sides of the equation by 11g. In doing so, the 11g on the right side of the equation will cancel out, leaving us with just h on one side.
So the formula solved for h will look like this:
h = f / (11g).
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what does 4x+5x-30=180 equal
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Combining like terms gives
9x−30=180. Adding 30 to both sides yields
9x=210. Dividing by 9, we find x=23.3333.
To solve the equation
4x+5x−30=180, we first combine like terms:
4x+5x=9x
So the equation becomes:
9x−30=180
Next, we isolate the variable
x by adding 30 to both sides:
9x=180+30
9x=210
Finally, we divide both sides by 9 to solve for
The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the base area of the cone. What is the expression for the volume of the pyramid in terms of the radius r of the cone?
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Let radius of cone = r
Then, height of the pyramid = 3r
Area of the base of the cone = pi x r^2 = area of the pyramid.
If the base dimensions of the pyramid are l and b, then area of the pyramid, l x b = pi x r^2.
The volume of the pyramid = 1/3 x l x b x h
We know, l x b = pi x r^2 and h = 3r.
Thus, volume of pyramid is = 1/3 x pi x r^2 x 3 r = pi x r^3
The volume of the pyramid is πr³ cubic units. Then the correct option is A.
What is the volume of the pyramid?Suppose the base of the pyramid has length = L units, width = W units, slant height = K units, and the height of the pyramid is of H units.
Then the volume of the pyramid will be
V = (A × H) / 3
V = (L × B × H) / 3
Where, A is the base area of the pyramid.
Let r be the radius of base circle of the cone.
The height of the pyramid in the diagram is three times the radius of the cone.
Then the height of the pyramid will be 3r.
The base area of the pyramid is the same as the base area of the cone.
Base area of pyramid = Base area of cone
Base area of pyramid = πr²
Then the volume of the pyramid will be
Volume of pyramid = (1/3) x πr² x (3r)
Volume of pyramid = πr² x r
Volume of pyramid = πr³ cubic units
The volume of the pyramid is πr³ cubic units.
Then the correct option is A.
Complete question is attached below.
More about the volume of the pyramid link is given below.
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write an expression with a value of 10. it should contain four numbers and two different operations
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I hope this helped! :-)
Maritza is buying a multipack of 3 pairs of socks for $25.98. She will save $6.24 by buying the multipack instead of buying 3 individual pairs of the same socks.
If each pair of socks costs the same amount, how much does each pair of socks cost when bought individually?
Answers
25.98-6.24=19.74
19.74/3=6.58
From a top-down 2D perspective, a car moves in a diagonal line and travels a distance equivalent to 80 miles. If the angle between the diagonal line and a horizontal reference line is 25 degrees, how far did the car travel horizontally and vertically? If necessary, round your answers to the nearest tenth of a mile. Horizontal distance? Vertical distance?
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The diagonal line would be hypothenuze. Horizontal and vertical distance would be other two sides of a triangle.
We will use the following formulas:
[tex]sin \alpha = \frac{opposite}{hypothenuze} \\ cos \alpha = \frac{adjacent}{hypothenuze} [/tex]
Where opposite side is vertical distance and adjacent side is horizontal distance.
Solving for these two sides we have:
[tex]opposite = hypothenuze * sin \alpha \\ adjacent = hypothenuze * cos \alpha [/tex]
We insert numbers and we get solution:
[tex]opposite = 80 * sin 25 = 33.8miles \\ adjacent = 80 * cos 25 = 72.5miles [/tex]
Let u = <-6, 1>, v = <-5, 2>. Find -4u + 2v.
A) <34, -8>
B) <14, 0>
C) <14, 3>
D) <44, -12>
Answers
-4u = -4*<-6,1>
-4u = <-4*(-6),-4*1>
-4u = <24,-4>
----------------------
v = <-5,2>
2v = 2*<-5,2>
2v = <2*(-5),2*2>
2v = <-10,4>
----------------------
-4u + 2v = <24,-4> + <-10,4>
-4u + 2v = <24+(-10),-4+4>
-4u + 2v = <24-10,-4+4>
-4u + 2v = <14,0>
----------------------
Answer: B) <14,0>
Which is the graph of g(x) = 2x – 1 + 3?
Answers
Answer:
The graph given can be further simplified as follows:
[tex]g(x)=2x+2[/tex]
I have drawn and attached the graph with the answer.
Step-by-step explanation:
The graph given can be further simplified as follows:
[tex]g(x)=2x-1+3[/tex]
[tex]g(x)=2x+2[/tex]
Slope of the graph is 2 as x has a coefficient of 2 and intercept is 2.
To graph the above substitute several values to x and calculate the corresponding g(x) values.
[tex]g(1)=2*1+2\\g(1)=4[/tex]
So when x=1, g=4
[tex]g(3)=2*3+2\\g(3)=8[/tex]
So when, x=3, g=8
Calculate several values in the same way and then plot the values is a Cartesian plane, x values in x axis and take g(x) values as y axis.
Then you will get a few dots in a straight line, join those dots with a line and that is the graph.
I have drawn and attached the graph with the answer.
Answer:
The graph is shown below.
Step-by-step explanation:
The given function is
[tex]g(x)=2^{x-1}+3[/tex]
It is an exponential function.
The given exponential function is defined for all real numbers. So, the domain of given function is all real numbers.
Domain = { x | x ∈ R }
Domain = (-∞,∞)
We know that
[tex]2^{x-1}>0[/tex]
Add 3 on both sides.
[tex]2^{x-1}+3>0+3[/tex]
[tex]g(x)>3[/tex]
Range of the function is
Range = (3,∞)
Table of values is
x y
0 3.5
1 4
2 5
Plot these point on a coordinate plane.
The graph of given function is shown below.
Tell what each of the residual plots below indicates about the appropriateness of the linear model
Answers
Residual plots can indicate the appropriateness of a linear model by examining patterns and deviations of the residuals.
Explanation:A residual plot is a graph that shows the difference between the observed and predicted values in a linear regression model. It helps to assess the appropriateness of the linear model by examining the patterns and deviations of the residuals. In the first graph, there seems to be a systematic pattern and non-randomness in the residuals, indicating that the linear model may not be appropriate. However, in the second graph, the residuals are randomly scattered around zero with no evident pattern, suggesting that the linear model is more appropriate.
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[x÷(y–1)](−4)–[xy+(−3)]÷(−1) if x=−5, y=−2
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_____
The first attempt in the attached picture has parentheses in the wrong place for the second term. This simplifies to
.. (-5/-3)*(-4) +(10 -3)
.. = -20/3 +7
.. = -(6 2/3) +7
.. = 1/3
Answer:
94
Step-by-step explanation:
1 89
2321
33
214
Which list of decimals is ordered from least to greatest? A) 0.11, 0.101, 0.21 B) 0.27, 0.35, 0.41 C) 0.35, 0.056, 4.2 D) 1.09, 0.91, 1.90. I need it quick
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rebekah's baby brother wights 7.71 pounds. Her newborn kitten weights 0.24 pound. How much more does tebekah's baby brother weight that her kitten?
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Can you please help me ?
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Tan (x) = a / b
Where,
a: opposite side of the triangle.
h: adjacent side of the triangle.
Clearing x:
x = Atan (a / b)
Substituting:
x = Atan (a / b)
x = Atan (5.74 / 4)
x = 55.12874356
Whole degree
x = 55
Answer:
x = 55 (option 3)
Alice has 1/5 as many miniature cars as Sylvester has Sylvester has 35 miniature cars how many miniature cars does alic have?
Answers
Final answer:
Alice has 1/5 as many miniature cars as Sylvester, who owns 35. By multiplying 35 cars by 1/5, we find that Alice has 7 miniature cars.
Explanation:
The student's question is about finding the number of miniature cars Alice has if she has 1/5 as many as Sylvester, who has 35 miniature cars. To solve this, we use the following mathematical operation:
Alice's miniature cars = 1/5 of Sylvester's miniature cars
Sylvester's miniature cars = 35 cars
To find out how many miniature cars Alice has, multiply the number of Sylvester's miniature cars by 1/5:
35 cars x 1/5 = 7 cars
Therefore, Alice has 7 miniature cars.
The area of a triangle is 1440cm^2 the base of tge triangle is 5 times the height of the triangle
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Probably base and the height...
Area = 1440cm²
base = 5×height
base = 5h
Area of triangle = base × height
1440 = 1/2 × 5h × h
1440 = 5h²/2
5h² = 2880
h² = 2880/5
h² = 576
h=24cm..
Height = 24cm
Since base = 5h
Base = 5×24
Base = 120cm...
Hope this helped....
Base =
On the map of a town, 1 cm represents 6 miles. Find the distance represented by 4.5 cm. A) 4.5 miles B) 6 miles C) 17 miles D) 27 miles
Answers
I hope this helps you out!! <3
4.5 cm.................................................? miles
(6*4.5)/1=27 miles
the choice is D
A book us in the shape of a right rectangle prism. It measures 8 1/2 inches tall, 7 inches wide and 2 1/3 inches thick. What is the volume of the book
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112 1/3 inch^3
The formula for the volume of a sphere is V=4/3 3.14r^3. What is the formula solved for r?
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Solve the system of equations using the substitution method.
{y=−3x+7
x=−2y−16
Enter your answers in the boxes.
x=
y=
Answers
ANSWER
[tex]x = 6[/tex]
[tex]y = - 11[/tex]
EXPLANATION
The given system of equations is
[tex]y = - 3x + 7...(1)[/tex]
and
[tex]x = - 2y - 16...(2)[/tex]
We substitute equation (1) into equation (2) to get;
[tex]x = - 2( - 3x + 7) - 16[/tex]
[tex]x = 6x - 14- 16[/tex]
We group similar terms
[tex]x - 6x = - 14 - 16[/tex]
[tex] - 5x = - 30[/tex]
Divide both sides by -5.
[tex]x =6[/tex]
Put x=6 into equation (1).
[tex]y = - 3(6) + 7[/tex]
[tex]y = - 18 + 7[/tex]
[tex]y = - 11[/tex]
Answer:
x = 6 and y = -11
Step-by-step explanation:
Given : System of linear equation
y=−3x+7
x=−2y−16
We have to solve the system of equations using the substitution method.
In substitution method, we substitute the value of one variable in term of other and solve for it.
Consider the given system of linear equation
y = −3x + 7 ...(1)
x = −2y − 16 .....(2)
Substitute, (2) in (1), we get,
y = -3(-2y - 16) + 7
Simplify , we get,
y = 6y + 48 + 7
6y - y = - 55
5y = -55
y = -11
Substitute y = -11 in (2), we get,
x = −2(-11) − 16 = 22 - 16 = 6
thus, x = 6
Thus , x = 6 and y = -11
if the circumference of a circle measures 3π cm, what is the area of the circle in terms of π?
Answers
with that info, we can find out the area of the circle which is pi r squared.
1.5*1.5=2.25
AREA=2.25pi
The area of the given circle, in terms of pi, is:
A = (9/4)pi cm^2
How to find the area of the circle?We know that for a circle of radius R, the circumference is:
C = 2*pi*R
And the area is:
A = pi*R^2
In this case, we know that:
C = 3pi cm = 2pi*R
Then we must have:
3cm = 2R
(3/2)cm = R
Now we can replace this on the area equation:
A = pi*((3/2)cm)^2 = pi*(9/4) cm^2
If you want to learn more about circles, you can read:
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a sheep breeding farm counted a total of 40 sheep on their grounds after one year the number of sheep doubled then in the next year the number of sheep doubled again if this trend continues which of the following options represents the number of sheep on the farm by then end of each year
Answers
graph (b)
Explanation:
The farm started with 40 sheep and the number doubled each year.
So, the equation modeling this situation would be:
N(x) = 40*(2)^2
By getting the equation, we can notice that we already excluded the third and fourth choices as they have the wrong equations.
Now, we will need to select the right graph which is either graph a or graph b.
To do this, we will get the value of N(x) for different values of x as follows:
At x = 0: N(0) = 40*(2)^0 = 40
At x = 1: N(1) = 40*(2)^1 = 80
At x = 1: N(2) = 40*(2)^2 = 160
Now, taking a look at graph a, we will find that:
N(1) = 120
N(2) = 360
These numbers are not the same as the numbers we calculated, therefore, this graph is wrong
Taking a look at graph b, we will find that:
N(1) = 80
N(2) = 160
These numbers are exactly the same as the ones calculated, therefore, this graph is the correct one.
Hope this helps :)
The human population doubles approximately every 50 years. If there were 2.5 million people in 1950, how many people are forecasted to populate the earth in 2050?
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2.5 x 2 = 5
5 x 2 = 10
tim has 30 grapes. he keeps 9 grapes for himself. then he gives 7 grapes each to some of his friends. to how many friends does tim give grapes?
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30-9 he kept = 21
21÷7 he gives out per friend =3
write the integer 9 as m/n in simplest form where m and n are integers
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What is the correct solution for the arithmetic expression (2+8)/2*9/3 using the order of operations employed by oracle 12c when solving equations??
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The order of operations is the steps used to simplify any mathematical expression. Order of operations refers to which operations should be performed in what order and it is denoted by PEMDAS, This means that you should do what is possible within parentheses first, then exponents, then multiplication and division (from left to right), and then addition and subtraction (from left to right). If parentheses are enclosed within other parentheses, work from the inside out.
[tex] (2+8)/2*9/3\\ Performing \; the \; operation\; in\; Parenthesis\; first\\ \\ 10/2 *9/3\\ Dividing \; 10/2\; from\; left\; to\; right\\ \\ 5*9/3\\ Multiply\; from\; left\; to\; right\\ \\ 45/3\\ Divide \; to\; get\; final\; answer\\ \\ 15 [/tex]
Conclusion:
The correct solution for the arithmetic expression (2+8)/2*9/3 using the order of operations is 15
What is the exact value of 400,000x200
Answers
Answer:
80,000,000
Step-by-step explanation:
We can rewrite this expression as:
(4 x 10⁵) x (2 x 10²)
To solve this, we multiply first 4 x 2 = 8 and then we multiply the powers of ten using law of exponents:
10⁵x10²= 10₇.
Therefore, the answer is: 8 x 10⁷. If we write it in decimal form we would have:
80,000,000