Answer: \(\angle 3\) and \(\angle 4\) are congruent because they are a pair of alternate exterior angles.
Please answer!! I added a screenshot
Answer:
S + 2.5S + (2.5S - 3.3)
Step-by-step explanation:
To get the perimeter of ANY shape, simply add up all the sides.
The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
The statements that are always true regarding the diagram of interior and exterior angles of a triangle include the following:
C. m∠5 + m∠6 =180°.
D. m∠2 + m∠3 = m∠6.
E. m∠2 + m∠3 + m∠5 = 180°.
What is the Linear Pair Postulate?In Geometry, the Linear Pair Postulate states that the measure of two (2) angles would add up to 180° provided that they both form a linear pair. This ultimately implies that, the measure of the sum of two (2) adjacent angles would be equal to 180º when two (2) parallel lines are cut through by a transversal:
m∠5 + m∠6 =180°.
What is the exterior angle property?In Mathematics, the exterior angle property can be defined as a theorem which states that the measure of an exterior angle in a triangle is equal in magnitude to the sum of the measures of the two remote or opposite interior angles of that triangle:
m∠2 + m∠3 = m∠6.
Additionally, the sum of all the angles that are formed by a triangle is equal to 180º and this is given by:
m∠2 + m∠3 + m∠5 = 180°,
Read more on exterior angle property here: brainly.com/question/28034179
#SPJ1
Simplify the expression (2d + 3) + (3d − 12).
Answer:
(2d +3d) + 3-12 equals to 5d - 9
Step-by-step explanation:
you try collecting like terms
Answer:
\(5d-9\)
Step-by-step explanation:
Given the following question:
\((2d + 3) + (3d-12)\)
To find the answer remove the parentheses, group like terms, and solve by using inverse of operations.
\((2d + 3) + (3d-12)\)
\(2d+3+3d-12\)
\(2d+3d+3-12\)
\(3-12=-9\)
\(2d+3d+-9\)
\(2d+3d=5d\)
\(5d-9\)
Your answer is "5d - 9."
Hope this helps.
Which equation has a solution of k = 6.5? F -3k = 19.5 G-1 + k = 7.5 H -7k = -45.5 J -2 + k = -8.5
Answer:
i don't know
Step-by-step explanation:
Question 7(Multiple Choice Worth 1 points) (08.02 LC) Eva conducted a survey to find out the amount of time high schoolers spend surfing the Internet. From the data collected, the range of time spent was 3 hours. What does this range say about the data? The quotient between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours. The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours. All the students surveyed spend exactly 3 hours surfing the Internet. All the students surveyed spend an average of 3 hours surfing the Internet.
Answer:
The answer is "Option B".
Step-by-step explanation:
The difference between most time and also the least spending time on Internet surfing is 3 hours. Since we do not have charts for tables etc., only 3 can be used we need. A range is defined as the difference between the largest and the smallest amounts. The range between both the largest as well as the smallest is unique. In this reply, it tells us that the gap between most time and the fewer hours invested surfing the web is 3 hours.
In option A, it is wrong since the range has nothing to do with formulas. (Of course, the dividend with a divisor results in a quotient). Only subtraction and not division may be achieved.In option C, when all surf for exactly one hour, it could take the largest time of 3 hours and 3 hours, the last time. Add it into the equation and the range of the data present would've been 0.In option D, It is erroneous even as the range is not the mean, and the mean seems to be the average. We search for both the range, not the mean.The answer is B
The difference between the greatest amount of time and the least amount of time spent surfing the Internet is 3 hours.
This answer is proven 100% correct.
Hope this helps!
PLease help!!!! 3( - 4y - 5) = 8y + 25, Show your work please!!
Answer:
y = -2
Step-by-step explanation:
Given equation:
\(3(-4y-5)=8y+25\)
Distribute:
\(\implies 3 \cdot -4y - 3 \cdot 5=8y+25\)
\(\implies -12y - 15=8y+25\)
Add 15 to both sides:
\(\implies -12y - 15+15=8y+25+15\)
\(\implies -12y =8y+40\)
Subtract 8y from both sides:
\(\implies -12y-8y =8y+40-8y\)
\(\implies -20y =40\)
Divide both sides by -20:
\(\implies \dfrac{-20y}{-20} =\dfrac{40}{-20}\)
\(\implies y =-2\)
Now we have to,
→ solve for the required value of y.
Let's solve the problem,
→ 3(-4y - 5) = 8y + 25
→ -12y - 15 = 8y + 25
→ -12y - 8y = 25 + 15
→ -20y = 40
→ y = -40/20
→ [ y = -2 ]
Hence, the value of y is -2.
Question 10
4 pts
Given the diagram, find the value of x and y.
50"
X
Answer:
y=50 x=80
Step-by-step explanation:
z(3rd spot)=y=50
x=180-2*50=80
Answer:
y=50 cause it is isosceles and then you do 180-100 because 50+50=100 and a triangle =180. so angle x is 80
Point O is on line segment NP. Given OP = 10, NP = 2x, and NO = x +7,
determine the numerical length of NO.
Answer:
17.
Step-by-step explanation:
We know that NP = NO + NP because all the points are on the same line.
So 2x = 10 + (x + 7),
x = 17.
Answer: Its 8
Step-by-step explanation:
when sarah created a histogram, she noticed there were more scores on one side of the distribution than on the other. it would appear that sarah's distribution is:
Sarah's distribution is C) skewed. A histogram skewed to the proper approach that the height of the graph lies to the left aspect of the center.
A histogram is a show of statistical facts that makes use of rectangles to reveal the frequency of statistics gadgets in successive numerical periods of same size. In the maximum not unusual place shape of histogram, the impartial variable is plotted alongside the horizontal axis and the established variable is plotted alongside the vertical axis.
A histogram skewed to the proper approach that the height of the graph lies to the left aspect of the center. On the proper aspect of the graph, the frequencies of observations are decrease than the frequencies of observations to the left aspect.
Thus, option C is the correct choice.
To learn more about histogram check the link below:
https://brainly.com/question/2962546
#SPJ4
Complete question:
when sarah created a histogram, she noticed there were more scores on one side of the distribution than on the other. it would appear that sarah's distribution is:
A)symmetrical.
B)a standard normal curve.
C)skewed.
D)a scatter plot.
Ruby is planning to put a square garden with an area of 200 square feet in her back yard estimate the lenght of each side of the garden to the nearest whole number
9*8=(?*8)+(4*8) what is the answer
Step-by-step explanation:
please mark me as brainlest
Step-by-step explanation:
9*8=(?*8)+(4*8)Let ? be replaced by x,
9*8=(x*8)+(4*8)72=8x+3272-32=8x40=8x40/8=x5=xSo, the answer is:-
9*8=(5*8)+(4*8)
In the diagram below, FED ~ ACEG. Find d. 5 m 의 4 m E 10 m Write your answer as a whole number or a decimal. Do not round. meters
Answer:
Step-by-step explanation:
k
the price elasticity of demand for the segment ef, using the midpoint method, is: a) 1.3. b) 1. c) 0.7. d) 0.33. 4. deleted 5. the price of good x is $5 and at that price consumers demand 12 units. if the price rises to $7, consumers will decrease consumption to 4 units. use the midpoint formula to calculate the price elasticity of demand for good x. a) 1/3 b) 3 c) 1/6 d) 6
The price elasticity of demand for the segment ef, calculated using the midpoint formula, is 0.7.
1) The percentage change in quantity demanded: The initial quantity demanded is 12 units, and it decreases to 4 units. The percentage change in quantity demanded is [(4 - 12) / ((4 + 12) / 2)] * 100 = -57.14%.
2. Calculate the percentage change in price: The initial price is $5, and it increases to $7. The percentage change in price is [(7 - 5) / ((7 + 5) / 2)] * 100 = 20%.
3. Use the midpoint formula to calculate the price elasticity of demand: Divide the percentage change in quantity demanded (-57.14%) by the percentage change in price (20%). The price elasticity of demand is -57.14% / 20% = -2.857.
4. Take the absolute value of the price elasticity to get a positive value: |-2.857| = 2.857.
5. Round the value to one decimal place: The price elasticity of demand for the segment ef is approximately 2.9.
6. Compare the calculated value with the given options: The closest option is 0.7 (option c) when rounded to one decimal place.
Therefore, the price elasticity of demand for the segment ef, using the midpoint method, is 0.7.
Learn more about percentage : brainly.com/question/16797504
#SPJ11
Given the function f(t) = 2t4 - 6t³ - 56t²: its f-intercept is its t-intercepts are
The f-intercept is 0. The t-intercepts are found to be 7, -2, and -3.
The f-intercept of the function f(t) = 2t4 - 6t³ - 56t² can be found by setting t = 0 and solving for f(0).
To find the t-intercepts, we need to solve the equation f(t) = 0.
Here's how to do it:
F-intercept
To find the f-intercept, we set t = 0 and solve for f(0):
f(0) = 2(0)⁴ - 6(0)³ - 56(0)²
= 0
T-intercepts
To find the t-intercepts, we set f(t) = 0 and solve for t:
2t⁴ - 6t³ - 56t² = 0
Factor out 2t²:
2t²(t² - 3t - 28) = 0
Use the quadratic formula to solve for t² - 3t - 28:
t = (3 ± √121)/2 or
t = (3 ∓ √121)/2
t = 7 or t = -4/2 or t = -3
Know more about the f-intercept
https://brainly.com/question/26233
#SPJ11
Jaidee and Beth each improved their yards by planting rose bushes and ivy. They bought their supplies from the same store. Jaidee spent $140 on 2 rose bushes and 12 pots of ivy. Beth spent $120 on 6 rose bushes and 6 pots of ivy. What is the cost of one rose bush and the cost of one pot of ivy?
The cost of one rose bush is $10 and the cost of one pot of ivy is $10.
Let's assume the cost of one rose bush is represented by "R" and the cost of one pot of ivy is represented by "I".
According to the given information:
Jaidee spent $140 on 2 rose bushes and 12 pots of ivy:
2R + 12I = 140 ...(1)
Beth spent $120 on 6 rose bushes and 6 pots of ivy:
6R + 6I = 120 ...(2)
We now have a system of two equations with two variables. To solve this system, we can use either substitution or elimination method. Let's use the elimination method.
Multiply equation (1) by 3 and equation (2) by 2 to make the coefficients of "R" in both equations equal:
6R + 36I = 420 ...(3)
12R + 12I = 240 ...(4)
Now, subtract equation (4) from equation (3):
(6R + 36I) - (12R + 12I) = 420 - 240
-6R + 24I = 180 ...(5)
Now we have a new equation (5) that relates "R" and "I".
Let's solve equations (5) and (2) together:
-6R + 24I = 180 ...(5)
6R + 6I = 120 ...(2)
Add equation (5) and equation (2):
(6R - 6R) + (24I + 6I) = 180 + 120
30I = 300
Divide both sides of the equation by 30:
I = 10
Now substitute the value of "I" into equation (2) to find the value of "R":
6R + 6(10) = 120
6R + 60 = 120
6R = 120 - 60
6R = 60
Divide both sides of the equation by 6:
R = 10
For more such questions on cost visit:
https://brainly.com/question/2292799
#SPJ8
HELP ASAP!!
Determine the surface area of the figure built out of blocks.
A) 30 sq. Units
B) 26 sq. Units
C) 22 sq. Units
D) 19 sq. Units
Answer:
i think it's s d because that's how many sq. there are
Work out the value of 5 to the power of a if it equal 1/125
Answer:
a = -3
Step-by-step explanation:
Step 1: Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:
5^a = 1/125
Step 2: Take the log of both sides
log(5^a) = log(1/125)
Step 3: According to the power rule of logs, we can bring a down and multiply it by log(5):
a * log(5) = log (1/125)
Step 4: Divide both sides by log(5) to solve for a:
(a * log(5) = log(1/125)) / log(5)
a = -3
Optional 5: We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:
5^-3 = 1/125
1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator
1/125 = 1/125
1.On which number line are –4 and its opposite shown?2.Which of the following describes the location of the opposite of the number that R represents on this line?
Answer:
1. d
2. 2
Step-by-step explanation:
if it's a negative it's opposite will be a positive and vice versa
Pls solve this with step by step.
Step-by-step explanation:
-x+5+6x-7x-14
6x-8x+5-14
-2x-9
Lily is deciding between two truck rental companies. Company A charges an initial
fee of $60 for the rental plus $2 per mile driven. Company B charges an initial fee of
$95 for the rental plus $1 per mile driven. Let A represent the amount Company A
would charge if Lily drives x miles, and let B represent the amount Company B
would charge if Lily drives x miles. Write an equation for each situation, in terms of
and determine the interval of miles driven, x, for which Company A is cheaper
than Company B.
2,
Answer:
A: 60 + 2x B: 95 + 1x
Step-by-step explanation:
A costs more
a parabola has x-intercepts at x = 1/2 and x=5. what is the equation of the parabola
Answer:
y = 2x²-11x +5
Step-by-step explanation:
We know that a polynomial of degree n with roots (x-intercepts) {x₁, x₂, ..., xₙ} and a leading coefficient A can be written as:
p(x) = A×(x - x₁)×...×(x - x₂)
Here we will find:
P(x) = (x - 1/2)×(x - 5)
Let's see how we found that:
Here we know that is a parabola, so n = 2, and the x-intercepts are:
x₁ = 1/2
x₂ = 5
And we do not know the leading coefficient, so we can assume A = 1.
Then the polynomial is just:
P(x) = (x - 1/2)×(x - 5)
The graph of this polynomial can be seen below.
If you want to learn more, you can read:
https://brainly.com/question/24371640
I need help please help
Answer:
Step-by-step explanation:
page 70/4
Reason 1. Given
Reason 2. Definition of angle bisectors (bisectors form ≅∠s)
Statment3. m∠2 =m∠3
Reason 4. Given
Reason 5. m∠1 +m2=90°, Reason 5. Definition of Complementary ∠s (they add-up to 90°)
Reason 6. because statment 2. and transition propriety ( if a=b and b=c then a=c)
Statment 7. ∠1 is complementary to ∠3
Find the product of (x + 3)(x - 3).
x^2 - 6x + 9
x^2 + 6x + 9
x^2 + 9
x^2-9
Step-by-step explanation:
So the question is easy ....the thing that you need to do is just to multiply the expression and organize the like terms....okay so lets solvee..
\((x + 3)(x - 3)\)
Solution,
\( = x(x - 3) + 3(x - 3)\)
\( = {x}^{2} - 3x + 3x - 9\)
\( = {x}^{2} - 9\)
If p(a) is 0.6, p(b) is 0.5, probability of both the events happening together is 0.25> What is the probability of either event occurring?
To find the probability of either event occurring, we can use the formula for the union of two events: P(A or B) = P(A) + P(B) - P(A and B).
Given that P(A) = 0.6, P(B) = 0.5, and P(A and B) = 0.25, we can substitute these values into the formula.
\(P(A or B) = P(A) + P(B) - P(A and B)\)
\(P(A or B) = 0.6 + 0.5 - 0.25\)
\(P(A or B) = 0.85 - 0.25\)
\(P(A or B) = 0.60\)
The probability of either event occurring is 0.60 or 60%.
To know more about probability visit:
https://brainly.com/question/31828911
#SPJ11
The probability of either event occurring can be found by adding the probabilities of the individual events and subtracting the probability of both events happening together. In this case, the probability of either event A or event B occurring is 0.6.
The probability of either event occurring can be calculated using the principle of addition. To find the probability of either event happening, we need to sum the individual probabilities of the events and subtract the probability of both events happening together.
Given:
p(a) = 0.6 (probability of event A occurring)
p(b) = 0.5 (probability of event B occurring)
p(a and b) = 0.25 (probability of both events happening together)
To calculate the probability of either event occurring, we can use the formula:
p(a or b) = p(a) + p(b) - p(a and b)
Substituting the given values into the formula:
p(a or b) = 0.6 + 0.5 - 0.25
p(a or b) = 0.85 - 0.25
p(a or b) = 0.6
Therefore, the probability of either event A or event B occurring is 0.6.
To understand this concept better, let's consider an example. Suppose event A represents rolling a fair six-sided die and getting an even number (2, 4, or 6). The probability of event A occurring would be 0.5. Now, let event B represent flipping a fair coin and getting heads. The probability of event B occurring would be 0.5.
If we want to find the probability of either rolling an even number or flipping heads, we can use the formula mentioned earlier. The probability of rolling an even number is 0.5, the probability of flipping heads is 0.5, and the probability of both happening together is 0.25. Plugging these values into the formula, we get:
p(A or B) = 0.5 + 0.5 - 0.25
= 0.75
Therefore, the probability of either rolling an even number or flipping heads is 0.75.
Learn more about probability from the link:
https://brainly.com/question/13604758
#SPJ11
Bags of dog food are labeled 1 through 50. What is the probability that the dog will choose a numbered dog bag that is not a multiple of 11
Probability helps us to know the chances of an event occurring. The probability that the dog will choose a numbered dog bag that is not a multiple of 11 is 8%.
Given that Bags of dog food are labelled 1 through 50.
Now, the bags that are multiples of 11 are 11, 22, 33, and 44, therefore, a total of 4 bags are there.
Now, the probability that the dog will choose a numbered dog bag that is not a multiple of 11 is,
Probability = Number of bags that are not a multiple of 11/Total number of bags
= (50 - 4)/50
= 23/25
= 0.92
Hence, the probability that the dog will choose a numbered dog bag that is not a multiple of 11 is 8%.
Learn more about Probability:
brainly.com/question/795909
#SPJ4
Hola! Necesito ayuda con esto, tengo que encontrar el dominio y rango de esta gráfica. Les agradezco mucho si me ayudan.
Answer:
yo no se pero ahorita yo te ayudo
i will give yo 20 points
Answer:
p = \(\frac{q-4}{3}\)
Step-by-step explanation:
q - 2p = p + 4
=> p + 2p = q - 4
=> 3p = q - 4
=> \(\frac{3p}{3} =\frac{q-4}{3}\)
=> p = \(\frac{q - 4}{3}\)
hope this helps!! p.s. i really need brainliest :)
Answer:
p = (q - 4)/ 3.
Step-by-step explanation:
q - 2p = p + 4
q - 2p - p = 4
-3p = 4 - q
p = -(4 - q)/3
p = (q - 4)/ 3
show that {1, 2, 3} under multiplication modulo 4 is not a group but that {1, 2, 3, 4} under multiplication modulo 5 is a group.
{1, 2, 3} under multiplication modulo 4 is not a group, we need to demonstrate the violation of at least one of the four group axioms: closure, associativity, identity element, or inverse element.
In this case, the set {1, 2, 3} under multiplication modulo 4 fails to satisfy closure. Multiplying any two elements in the set modulo 4 may result in a value outside the set. For example, 2 * 3 = 6, which is congruent to 2 modulo 4 and not in the set {1, 2, 3}. Therefore, the set does not form a group under multiplication modulo 4.
On the other hand, the set {1, 2, 3, 4} under multiplication modulo 5 forms a group. It satisfies all the group axioms: closure (the product of any two elements is still within the set), associativity (the order of multiplication doesn't matter), identity element (1 is an identity element since 1 * a = a * 1 = a for any a in the set), and inverse element (every element has an inverse within the set such that a * b = b * a = 1). Thus, the set forms a group under multiplication modulo 5.
To know more about modulorefer here
https://brainly.com/question/29262253#
#SPJ11
Consider the DNA sequence: CAT TAGA, which belongs to a penguin. A different fossilized species is found which contains the sequence GATTAGA. Which organism does it most likely belong to? A.Dog b.Bird c.Snake d.Horse
This sequence likely belongs to a bird rather than to a dog, snake, or horse.
What is DNA?DNA stands for deoxyribonucleic acid and it is essential in genetics and biology because it composes genes. Moreover, DNA is expressed as a sequence of four bases:
Thymine (T).Adenine (A).Cytosine (C).Guanine (G).What does the similarity between DNA sequences reveal?Considering all living organisms share a common ancestor and modern species evolved from older species, a similarity in DNA shows organisms are genetically and phenotypically similar.
In the case of the penguin and the fossilized species, the DNA sequence is almost identical. Due to this, this organism should be very similar to the penguin, and therefore, the most likely organism is another bird.
Learn more about DNA in: https://brainly.com/question/264225
What is the y-value of the vertex?
Answer:
plug the value of -b / 2a into the equation for x and solve fo y