Answer: 2. They are congruent angles.
Step-by-step explanation:
Angle 1 and angle 3 are vertical angles. In other words, they are "opposite" each other.
Vertical angle pairs are congruent angles, meaning the answer to this question is;
2. They are congruent angles.
Answer: They are congruent angles.
Step-by-step explanation: Complementary means the two angles equal 90°, supplementary angles are next to each other and equal 180° together, and it's obviously not a right angle, (angle that equals 90°) so we know they are congruent angles (this means that they are the same)
hope this helps!
please give brainliest!
number 4 plz and thank u
Answer:
22 weeks
Step-by-step explanation:
it is 22 weeks because if you divide 39 by 2 then it is 19.5 and if you divide 429 by 19.5 you will get 22 hope this helps.
if I say 5/8 in in Magna to take to make a desk magnet how many deaths magnets can be made 12 and 1/2 of a magnet tape
if I say 5/8 in in Magna to take to make a desk magnet
i.e 5/8 magnet require= to make 1 desk magnet
Thus,
\(\begin{gathered} \text{ 1 magnet we make =}\frac{1}{\frac{5}{8}}\text{ desk magnet} \\ \text{ 1 magnet can make =}\frac{8}{5}\text{ desk magnet} \end{gathered}\)We need to find the number of desk magnet can make with the help of 12 1/2 magnet tape
\(\begin{gathered} \text{ Since,} \\ \text{ With the help of 1 magnet tap we can make=}\frac{8}{5}Desk\text{ magnet} \\ \text{ then with the help of 12}\frac{1}{2}\text{ magnet tape we can make=12}\frac{1}{2}\times\frac{8}{5}\text{ Desk magnet} \\ \text{ Simplify : 12}\frac{1}{2}\times\frac{8}{5} \\ \text{12}\frac{1}{2}\times\frac{8}{5}=\frac{(12\times2)+1}{2}\times\frac{8}{5} \\ \text{12}\frac{1}{2}\times\frac{8}{5}=\frac{25}{2}\times\frac{8}{5} \\ \text{12}\frac{1}{2}\times\frac{8}{5}=5\times4 \\ \text{12}\frac{1}{2}\times\frac{8}{5}=20 \\ \text{ Thus, } \\ \text{with the help of 12}\frac{1}{2}\text{ magnet tape we can make=20 Desk magnet} \end{gathered}\)Expand 4x(7x-11)
For maths
Help please
here is the answer please mark me bainliest
The expand form will be;
⇒ 28x² - 44x
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 4x (7x - 11)
Now,
Solve the expression as;
⇒ 4x (7x - 11)
⇒ 4x × 7x - 4x × 11
⇒ 28x² - 44x
Thus, The expand form will be;
⇒ 28x² - 44x
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Simplify: 2(x+6) show work please
Answer:
2x + 12
Step-by-step explanation:
2(x + 6) =
2(x) + 2(6) =
2x + 12
Hope that helps!
Answer:
2x+12 by distributing
2x=-12
x=-6
Mike invests $12,500 at 9% for a term of 12 years. What is the interest earned for his investment?
Answer:
$13.5
Step-by-step explanation:
l= P×R×T/100
I= 12,500×9×12/100
l= $13,5
The interest earned for his investment after 12 years is $13,500.
What is the simple interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.
Given that, P=$12,500, rate of interest=9% and time period=12 years.
Here, simple interest = (12500×9×12)/100
= 1350000/100
= 13,500
So, the interest is $13,500
Therefore, the interest earned for his investment after 12 years is $13,500.
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Last summer, Emma's family rented an RV. The rental fee allowed them to use the RV for 8 days. Emma's parents paid an additional $55 for the Great Outdoors upgrade, which included a grill to use for the duration of their trip. Emma's family paid $895 in all.
Which equation can you use to find the rental cost, d, of each day they used the RV?
The equation can you use to find the rental cost, d, of each day they used the RV is 895=8d+55
What does $895 comprises of?
The $895 paid for the duration of the trip consists of the payments for the RV for 8 days and additional amount of $55 which is for the outdoors upgrade.
The equation that can be used to determine rental cost per , d , per day considers that the total rental cost is number of days, 8 days multiply by the rental cost per day, which is d, and also that the final $55 is specifically for outdoors upgrade
Total cost=d*8+$55
Remember total cost of the trip is $895
$895=8d+$55
Which we can rewrite the expression by ignoring the dollar sign as below:
895=8d+55
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tina bought some clothes from a high end store that cost 6,719. her friend Betty bought the same quantity of clothes from a low end store that cost 1,282 how much money did Betty saved by buying at the low end store?what is betty total savings when rounded to the nearest thousands?
Answer:
5437
Step-by-step explanation:
Subtract the original amount 6,719 and 1282
you get 5,437
Hope this helps!
Have a nice day! :D
Mark brainliest if possible pls :)
In the figure below, points X, Z, Q, R, and S lie in plane P. Points T and Y do not lie in plane P.
For each part below, fill in the blanks to write a true statement.
The blank spaces in the statements area. S, R, and Q are distinct points that are collinear: b. TX and QS are distinct lines that intersect. c. Point Y and line QS are coplanar. d. Another name for plane P is: plane QSY.
What are Colinear Points?Points that lie on the same straight line are collinear points.
If two lines are lie on the same plane, they are referred to as coplanar lines.
(a.) S, R, and Q are on a straight line. Therefore S, R, and Q are distinct points that are collinear.
b. TX and QS are distinct lines that intersect.
c. Point Y and line QS are on the same plane. Therefore:
Point Y and line QS are coplanar.
d. Another name for plane P is: plane QSY.
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Please help me with this.
Here are the correct matches to the expressions to their solutions.
The GCF of 28 and 60 is 4.
(-3/8)+(-5/8) = -4/4 = -1.
-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.
The solution of 0.5 x = -1 is x = -2.
The solution of 1/2 m = 0 is m = 0.
-4 + 5/3 = -11/3.
-2 1/3 - 4 2/3 = -10/3.
4 is not a solution of -4 < x.
1. The GCF of 28 and 60 is 4.
The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:
28 = 2 x 2 x 7
60 = 2 x 2 x 3 x 5
The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.
2. (-3/8)+(-5/8) = -1.
To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.
3. -1/6 DIVIDED BY 1/2 = -1/3.
To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.
4. The solution of 0.5 x = -1 is x = -2.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.
5. The solution of 1 m = 0 is m = 0.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.
6. -4 + 5/3 = -11/3.
To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.
7. -2 1/3 - 4 2/3 = -10/3.
To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.
8. 4 is not a solution of -4 < x.
The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.
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Which term can be added to the list so that the greatest common factor of the three terms is 12h3?
36h3, 12h6, __________
The term that can be added to the list so that the greatest common factor of the three terms 12h3 36h3, 12h6, is 48h5
How can the term be known?A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.
The term that can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12 without any fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.
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Which statement is true about the graphed function?
F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞)
The true statement about the graphed function is:
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
When a function is positive and when it is negative?Looking at it's graph, we have that:
The function is positive when it is above the x-axis.The function is negative when it is below the x-axis.Researching this problem on the internet and looking at the graph of the function, the correct statement is given by:
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
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the porters purchased a new computer printer to replace an older one. they expect the new printer to be faster than the old one. they test the new printer by printing out the user manual and writing down the time it takes to print each page. the results of the porters new printer are shown on the graph below. find the constant of proportionality of the graph
The constant of proportionality is 5/2. The correct options are C and E.
What is the Constant of Proportionality?The constant of proportionality, k, can be defined as the ratio of y to x, if x is the independent variable and y is the dependent variable and they are both in a proportional relationship.
This means that:
Constant of proportionality (k) = y/x.
Using the graph given, the value of k can be calculated using a point on the line, (2, 5):
Constant of proportionality (k) = y/x = 5/2 [this is also 2.5]
If a museum charges $2.50 per each student, then it means the constant of proportionality, k = 5/2.
Therefore, the correct options are: C and E.
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I need this it’s due today
i think the answer is 9
Step-by-step explanation:
step 1. simplify both sides of the equation
step 2. add 17 to both sides
step 3. multiply both sides by 3
answer a =9
What is the missing statement in the proof? Scroll down to see the entire proof. a ∠BDC≅∠ADB b ∠BCA≅∠DCB c ∠BAC≅∠BAD d ∠DBC≅∠BAC
The missing statement in the proof specified is given by: Option B: ∠BCA≅∠DCB
What is the reflexive property of congruence?
According to the reflexive feature of congruence, the geometric quantity under consideration—be it an angle, a line segment, a form, etc.—is congruent to itself.
The third step's key concept in this instance is the "Reflexive Property of Congruence."
The fourth phase comes to the conclusion that the ΔABC~ΔBDC criteria for similarity are met.
Since it was established in the second stage that ∠ABC≅∠BDC
Therefore, in order for the fourth step to apply angle-angle similarity, which requires the angles of two considered triangles to be congruent, we must demonstrate another angle pair of triangles ΔABC and ΔBDC being congruent in the third step.
Internal angle C is the common angle in the triangles ABC and BDC.
As a result, it is consistent with itself due to its reflexive characteristic.
We obtain the following notation for internal angle C from triangle ABC:
Angle ACB and BCA(both will work)
Triangle BDC gives us the following notation for internal angle C:
Angle DCB and BCD(Both will function.)
They fit together. The second choice takes angle C into account, so:
∠BCA≅∠DCB (second option) is the missing statement.
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Choose the correct math expression for: the quotient of 36 and 12.
Answer: 36/12 = 3
Step-by-step explanation:
Answer:
The expression should be something like: 36/12
Which conditional statement has a false converse? If a figure is a square, then it has four sides. If a point has x-coordinate 0, then it lies on the y-axis. If two angles are congruent, then they have the same measure. If two planes are parallel, then they have no points in common.
The conditional statement has a false converse will be the four-sided polygon may be square. Then the correct option is A.
What is the conditional statement?There have been two main categories of arguments in the studies of logic: conditional statements and polyamorous statements. These assertions, which are referred to as compound statements, are created by combining two other statements.
The converse statement should also be true when its condition is reversed.
Let's check all the options. Then we have
A. If a figure is a square, then it has four sides. The converse of the statement is false.
B. If a point has an x-coordinate 0, then it lies on the y-axis. The converse of the statement is true.
C. If two angles are congruent, then they have the same measure. The converse of the statement is true.
D. If two planes are parallel, then they have no points in common. The converse of the statement is true.
The conditional statement has a false converse will be the four-sided polygon may be square. Then the correct option is A.
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In your own words, please describe the difference between the regression equation ^y= b0 +b1xt and the regression equation Y=B0+B1x
In summary, the difference between these two regression equations is mainly in the notation used to represent the regression coefficients, with lowercase letters used in simple linear regression models and uppercase letters used in multiple linear regression models.
What is equation?In mathematics, an equation is a statement that asserts that two mathematical expressions are equal to each other. It usually contains one or more variables, which are placeholders for values that can vary. Equations are used to describe mathematical relationships and to solve problems. They can take many forms, such as linear equations, quadratic equations, polynomial equations, exponential equations, and so on. The specific form of an equation depends on the type of problem being solved and the mathematical relationships involved.
Here,
Both the regression equations ^y = b0 + b1x and Y = B0 + B1x are used to model the relationship between a dependent variable (y or Y) and an independent variable (x). However, the key difference between these two equations lies in the notation used to represent the regression coefficients.
In the first equation ^y = b0 + b1x, the regression coefficients are represented with lowercase letters (b0 and b1). This notation is typically used in simple linear regression models where there is only one independent variable. The hat symbol (^) over the y indicates that this is an estimated value of y based on the model.
In the second equation Y = B0 + B1x, the regression coefficients are represented with uppercase letters (B0 and B1). This notation is typically used in multiple linear regression models where there are two or more independent variables. The capitalization of the letters helps to distinguish them from the coefficients in the simple linear regression model.
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(URGENT)!!!!!!!
Write one sentence that addresses the issue of globalization from the text and one sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers
Answer:
Step-by-step explanation:
One sentence on globalization from the text: The process of globalization has brought significant changes to the world economy, including the emergence of new trade patterns and the increasing interconnectedness of markets.
One sentence on how the absence of plantation owners perpetuated cruel treatment of slaves by overseers: In the absence of plantation owners, overseers were left with unchecked power over the enslaved population, often resulting in brutal treatment and violence
use the given information to complete the proof.
given:∠A and ∠B are supplementary angles. ∠B and ∠C are supplementary angles.
prove:∠A≅∠C
match the reason with the provided statements to complete the proof.
The answers are as follow
1. ∠a and ∠b are supplementary angles, ∠b and ∠c are supplementary angles: given
2. m∠a + m∠b = 180, m∠b + m∠c = 180 : definition of supplementary angles
3. m∠a + m∠b = m∠b + m∠c : substitution property of equality
4. m∠a = m∠c: subtraction property of equality
5. ∠a ≅ ∠c: if two angles have the same measure, then they are congruent.
The proof is shown below:
What is congruency in triangles?Congruence in two or more triangles depends on the measurements of their sides and angles. The three sides of a triangle determine its size and the three angles of a triangle determine its shape. Two triangles are said to be congruent if pairs of their corresponding sides and their corresponding angles are equal. They are of the same shape and size.
Two triangles are said to be congruent if they are of the same size and same shape. Necessarily, not all the six corresponding elements of both the triangles must be found to determine that they are congruent. Based on studies and experiments, there are 5 conditions for two triangles to be congruent. They are SSS, SAS, ASA, AAS, and RHS congruence properties.
Given that:
∠A and ∠B are supplementary angles, ∠B and ∠C are supplementary angles
So, ∠A + ∠B = 180,
∠B + ∠ C= 180 b (supplementary angles)
∠A + ∠B = ∠B + ∠C
∠A = ∠C
Hence, ∠A ≅ ∠C (if two angles have the same measure, then they are congruent).
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What can you tell about the means for these two months? (1 point)The mean for April is higher than October's mean.There is no way of telling what the means are.The low median for October pulls its mean below April's mean.O The high range for October pulls its mean above April's mean.
The box plot shows the distribution of the data classified in quartiles.
If we want to know about the mean of the data set, we can only that it will be located within the range of the data set.
It will be closer to the median as the distribution gets less skewed.
By looking at the box plot, we can not confirm that April's mean is higher than October's mean, as the plots are overlapped.
We can not also concluded about the relation between the spread of the data and the relation with the mean.
Then, the most appropiate conclusion from the options is "There is no way of telling what the means are".
Suppose that an object is dropped from a height of h meters and hits the ground with a velocity of v meters per second. Then v= \(\sqrt{x} 19.6h\). If an object hits the ground with a velocity of 25.7 meters per second, from what height was it dropped?
If an object hits the ground with a velocity of 25.7 meters per second, it was dropped from a height of 33.7 meter .
In the question ,
it is given that
the when the object is dropped from height h then the velocity with which it hits the ground is given by the formula
v = √(19.6×h)
to find the height it was dropped , and it hits the ground with velocity 25.7 meter per second ,
we substitute v = 25.7 in the equation v = √(19.6×h) ,
we get ,
25.7 = √(19.6×h)
squaring both the sides , we get
19.6 × h = 25.7²
19.6 × h = 660.49
h = 660.49/19.6
h = 33.698
h ≈ 33.7
Therefore ,If an object hits the ground with a velocity of 25.7 meters per second, it was dropped from a height of 33.7 meter .
The given question is incomplete , the complete question is
Suppose that an object is dropped from a height of h meters and hits the ground with a velocity of v meters per second. Then v = √(19.6×h) . If an object hits the ground with a velocity of 25.7 meters per second, from what height was it dropped?
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if f(x) = x^2 and g(x) = 2x + 1, WHICH EXPRESSION IS EQUIVALENT TO (F O G)(X),
Answer:
(2x+1)^2 or 4x^2+4x+1
Step-by-step explanation:
I'm going to assume you need to find f(g(x)) when f(x)=x^2 and g(x)=2x+1
You first need to find g(x) which is 2x+1
You then take the f(x) function and replace x with 2x+1
This means our new equation is
(2x+1)^2
Your teacher may or may not want you stop here, really only you know the answer to that
But if we expand this we'll find that (2x+1)^2=4x^2+4x+1
The equivalent expression of (f o g) is 4x² + 4x + 1.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Two functions are given.
f(x) = x²
g(x) - 2x + 1
Now,
(f o g)(x) = f(g(x))
g(x) - 2x + 1
So,
f(g(x)) = f(2x + 1)
Now,
f(2x + 1)
= (2x + 1)²
= 4x² + 4x + 1
Thus,
The expression of (f o g) is 4x² + 4x + 1.
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2 more than n is the quotient of n and 6
Answer:
6n+2
Step-by-step explanation:
Challenge The price of Stock A at 9 A.M. was $14.63. Since then, the price has been increasing at the
rate of $0.09 each hour. At noon the price of Stock B was $15.13. It begins to decrease at the rate of
$0.11 each hour. If the two rates continue, in how many hours will the prices of the two stocks be the
same?
In about
hours, the prices of the two stocks will be the same.
9514 1404 393
Answer:
2.5 hours
Step-by-step explanation:
The price of stock A is described by ...
A = 14.63 + 0.09t . . . . . . where t is time in hours after 9 A.M.
And the price of stock B is ...
B = 15.13 - 0.11t
The two prices will be equal when ...
A = B
14.63 +0.09t = 15.13 -0.11t
0.20t = 0.50 . . . . . . . . . . . . . add 0.11t -14.63 to both sides
t = 0.50/0.20 = 2.5
The prices of the two stocks will be the same in about 2.5 hours.
tony deposited 5000 dollars into an account with a 4.2 percent annual interest rate compounded semi-annually how long until he hits 6500
The amount to be at $6500, and the time it will take is about 6 years and 4 months.
What is the compound interest rate?Compound interest is computed as interest on the principle of an account plus any accrued interest.
Compound interest can be calculated using the following formula:
x = P (1+r/n\()^{nt}\)
,where x = compound interest
P = principal (the initial deposit or loan amount)
r = annual interest rate
n = the number of compounding periods per unit of time
t = the number of time units the money is invested or borrowed for
Given:
Tony deposited 5000 dollars into an account with a 4.2 percent annual interest rate compounded semi-annually.
First, convert R as a percent to r as a decimal
r = R/100
r = 4.2/100
r = 0.042 per year,
Then, solve the equation for t
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(6,500.00/5,000.00) / ( 2 × [ln(1 + 0.042/2)] )
t = ln(6,500.00/5,000.00) / ( 2 × [ln(1 + 0.021)] )
t = 6.312 years
Therefore, t = about 6 years 4 months.
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The top of an aerial ladder must reach a rooftop that is 86 ft above ground. The bottom of the ladder is on the top of a ladder truck, 10 ft above the ground. The ladder can extend to 100 ft long.
On a piece of paper, sketch the situation with the ladder fully extended. Label the horizontal distance between the bottom of the ladder and the building as x ft.
What equation can you use to find x? Enter your answer into the boxes.
The equation we can use to find x is:
\(x^{2}\) + \(86^{2}\) = \(100^{2}\)
What equation can you use to find x?We can use the Pythagorean theorem to find x. In the sketch, the ladder, the ground, and the building form a right triangle. The vertical leg of the triangle is the height of the building, which is 86 ft. The horizontal leg is the distance we want to find, which is x ft. The length of the ladder is the hypotenuse of the triangle, which is 100 ft. Therefore, we have:
\(x^{2}\) + \(86^{2}\) = \(100^{2}\)
Simplifying and solving for x, we get:
\(x^{2}\) + 7396 = 10000
\(x^{2}\) = 2604
x ≈ 51
Therefore, the equation we can use to find x is:
\(x^{2}\) + \(86^{2}\) = \(100^{2}\)
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Two trains are traveling at constant speeds on different tracks.
Train A:
Train B:
Which train is traveling faster? Explain your reasoning using equivalent ratios.
Answer:
Train B travels faster
Step-by-step explanation:
See attachment for complete question
Since both trains are travelling at constant speed, we can pick any non zero equivalents of distance and time to calculate the rate at which they both travel.
For Train A
\(Distance = 12.5m\)
\(Time = 1s\)
\(Rate = Distance/Time\)
\(Rate = 12.5m/1s\)
\(Rate = 12.5m/s\)
For Train B
\(Distance = 100m\)
\(Time = 4s\)
\(Rate = Distance/Time\)
\(Rate = 100m/4s\)
\(Rate = 25m/s\)
By comparison:
\(25m/s > 12.5m/s\)
Hence,
Train B travels faster
Cindy gave away 12% of her lollipop and is now left with 220 lollipops. Calculate the number of lollipops Cindy had ?
Answer:
The answer would be 250.
Step-by-step explanation:
Cindy started off with 250 lollipops, gave away 30 (which is 12% of 250) and stayed with 220.
250-30=220
Snowflake the snowman wants to buy his friends new scarves. If each scarf costs $4.27, how much will Snowflake spend if he buys 5?
How do you solve question 1
9514 1404 393
Answer:
(A) 1 only
Step-by-step explanation:
Factor numerator and denominator and see what cancels.
\(f(x)=\dfrac{2x^2+14x-16}{x^2-9x+8}=\dfrac{2(x-1)(x+8)}{(x-1)(x-8)}=\dfrac{x-1}{x-1}\cdot\dfrac{2(x+8)}{x-8}\\\\f(x)=\dfrac{2x+16}{x-8}\qquad x\ne1\)
The factor of x-1 in the original denominator means the expression is undefined at x=1. The reduced expression is defined there, so the discontinuity at x=1 could be removed by defining f(1) = -18/7.
There is a removable discontinuity at x=1 only. The discontinuity at x=8 is a vertical asymptote where the function changes sign. It cannot be removed by defining a value for the function there.