Answer:
B) 13.3-----------------------
Given two similar triangles:
ΔABC ~ ΔAMNWe know similar figures have same ratio of corresponding sides.
Apply this to the given triangles to get:
AB/AM = AC/AN(AM + MB)/AM = AC/ANSubstitute values:
(6 + 4)/6 = AC/810/6 = AC/8AC = 8*10/6AC = 13.3 (rounded)The matching choice is B.
Find the measure of angle x in the figure below:65⁰to65⁰
In this case, we'll have to carry out several steps to find the solution.
Step 01:
data:
diagram
Step 02:
angles:
we must analyze the diagram to find the solution.
65° + 65° + x = 180°
x = 180° - 65° - 65°
x = 50°
The answer is:
x = 50°
A typical Yorkshire terrier weighs 1/6 times as many pounds as a Dalmatian. A Dalmatian weighs 54 pounds. How much does the typical Yorkshire terrier weigh?
Answer:
9 pounds
Step-by-step explanation:
1/6 is 16.67%
So 16.67% of 54 is 9
The Yorkshire terrier weighed 9 pounds.
of the three stress-strain curves shown here (a, b, c), which of the following statements is most likely true. of the three stress-strain curves shown here (a, b, c), which of the following statements is most likely true. material b is likely a metallic material because it shows brittle behavior. material a is likely a ceramic material because it shows brittle behavior. material c is likely a polymeric material because it shows brittle behavior. material c is likely a ceramic material because it shows ductile behavior. material b is likely a ceramic material because it shows brittle behavior.
Based on the stress-strain curves shown, the most likely statement is that Material A is likely a ceramic material because it shows brittle behavior.
Brittle behavior is characterized by low ductility and little plastic deformation before failure, which is evident in the stress-strain curve for Material A. The curve for Material B shows some plastic deformation before fracture, which indicates a higher level of ductility than Material A. The stress-strain curve for Material C shows a high level of ductility, with a long plastic deformation region before fracture. This behavior is typical of polymeric materials, so Material C is most likely a polymeric material.
It is not possible to determine the specific type of material based solely on stress-strain curves, as many materials can exhibit similar behaviors. Additionally, it is not accurate to say that Material B or Material C are likely ceramic materials based on their stress-strain curves, as both exhibit significant plastic deformation before failure, which is not typical of brittle ceramics.
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The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
help me please i would appreciate it so so much
Answer:
w = 120
x = 60
y = 120
z = 60
Step-by-step explanation:
w = 120 (vertically opposite angles)
sum of co interior angles is 180
⇒ w + x = 180 and x + y = 180
w + x = 180
⇒ 120 + x = 180
⇒ x = 180 - 120
⇒ x = 60
x + y = 180
⇒ 60 + y = 180
⇒ y = 180 - 60
⇒ y = 120
z = x (corresponding angles)
z = 60
find the equation of the line best fit for the following data. pls explain im kind of lost lol
The equation of the line of best fit for the set of data is given as follows:
y = 4.24773x - 0.32726
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.
From the table in this problem, the points are given as follows:
(0.9, 3.51), (1.7, 6.61), (3, 12.27), (0.1, 0.15), (2.3, 9.59), (1.3, 5.35), (0.5, 1.65), (2.1, 8.8).
Inserting these points into a calculator, the line of best fit is given as follows:
y = 4.24773x - 0.32726
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Triangle ABC with vertices at A(4, 3), B(3, −2), C(−3, 1) is dilated using a scale factor of 1.5 to create triangle A′B′C′. Determine the vertex of point A′.
The vertex of point A' in the dilated triangle A'B'C' is (6, 4.5).
1. Start by calculating the distance between the vertices of the original triangle ABC:
- Distance between A(4, 3) and B(3, -2):
Δx = 3 - 4 = -1
Δy = -2 - 3 = -5
Distance = √((-\(1)^2\) + (-\(5)^2\)) = √26
- Distance between B(3, -2) and C(-3, 1):
Δx = -3 - 3 = -6
Δy = 1 - (-2) = 3
Distance = √((-6)² + 3²) = √45 = 3√5
- Distance between C(-3, 1) and A(4, 3):
Δx = 4 - (-3) = 7
Δy = 3 - 1 = 2
Distance = √(7² + 2²) = √53
2. Apply the scale factor of 1.5 to the distances calculated above:
- Distance between A' and B' = 1.5 * √26
- Distance between B' and C' = 1.5 * 3√5
- Distance between C' and A' = 1.5 * √53
3. Determine the coordinates of A' by using the distance formula and the given coordinates of A(4, 3):
- A' is located Δx units horizontally and Δy units vertically from A.
- Δx = 1.5 * (-1) = -1.5
- Δy = 1.5 * (-5) = -7.5
- Coordinates of A':
x-coordinate: 4 + (-1.5) = 2.5
y-coordinate: 3 + (-7.5) = -4.5
4. Thus, the vertex of point A' in the dilated triangle A'B'C' is (2.5, -4.5).
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A perpendicular bisector of DC is AB and a perpendicular bisector of AB is DC. the intersection of AB and DC is at E. Which equation is true?
EB =CD
AE= DE
DE = CE
CD= CE
AB=CD
Answer: DE = CE
Step-by-step explanation: AB is a continuous line so the distance from A to E could be different than the distance from D to E.
DE = CE is true.
A perpendicular bisector is a line that divides another line into two equal parts and is also perpendicular to it.
Here, we are given that AB is the perpendicular bisector of DC and DC is a perpendicular bisector of AB.
This means that AB and DC are the perpendicular bisectors of each other at the point of intersection, that is, E.
Now, since AB bisects DC at point E
⇒ DE = CE
and similarly, DC bisects AB
⇒ AE = BE
Apart from these two equalities, we cannot infer anything else from the given information.
Thus, out of the given options, we can see that only option 3, that is, DE = CE is true.
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What are satellites
Answer:
A satellite is a moon, planet or machine that orbits a planet or star. ... Usually, the word "satellite" refers to a machine that is launched into space and moves around Earth or another body in space. Earth and the moon are examples of natural satellites. Thousands of artificial, or man-made, satellites orbit Earth.
Step-by-step explanation:
Which equation results from adding the equations in this system?x + 6y = 9-x+2y = - 158y = -68y = 64y = 244y = - 6
Given that
x + 6y = 9---------1
and
-x + 2y = - 15------- 2
Make x subject of formula in both equations
From equation 1
x = 9 - 6y
From equation 2
2y = -15 + x
2y + 15 = x
x = 2y + 15
Equating the two equations
2y + 15 = 9 - 6y
collect like terms
2y + 6y = 9 - 15
8y = -6
Convert 2,430 yards to km
Answer:
2.221992
Step-by-step explanation:
can i have the crown pls ૮ ♡ﻌ♡ა
Answer:
2.221
Step-by-step explanation:
Wen Naey started mkkdle sehool, she was 60 inches tall, When she started high school, she was 65 inches tal. V/h
was the iNercent ehange n her height?
O6Nrcent crease
O9INcent icrease
010Nercent crease
O0Nereent crease
sequence three missing terms to comple 7444> →→19-
To complete the sequence "7444> →→19-", we need to find the missing terms that fit the pattern established by the given numbers. Let's analyze the sequence and identify any discernible pattern or rule.
Looking at the sequence, we can observe that each number is decreasing by a certain value. In this case, the first number is 7444, and the second number is 19, indicating a decrease of 7425. Now, we need to continue this pattern.
To find the third missing term, we subtract 7425 from 19, resulting in -7406. Therefore, the third missing term is -7406
To find the fourth missing term, we subtract 7425 from -7406, resulting in -14831. Therefore, the fourth missing term is -14831.
To find the fifth missing term, we subtract 7425 from -14831, resulting in -22256. Therefore, the fifth missing term is -22256.
Therefore, the completed sequence is:
7444> →→19- → -7406 → -14831 → -22256
Each term in the sequence is obtained by subtracting 7425 from the previous term.
It's important to note that this solution assumes a linear pattern in which the same subtraction value is applied to each term. However, without additional context or information about the sequence, there could be alternative patterns or interpretations.
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How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.
Please answer this correctly
Answer:
40
Step-by-step explanation:
8+6+8+6=28
28-4-4=20
20/2=10
10*4=40
plz mark me brainliest!
Juan buys candy that costs $8 per pound. He will spend at least $48 on candy. What are the possible numbers of pounds he will buy?
Use p for the number of pounds Juan will buy.
Write your answer as an inequality solved for p.
In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).
How can these number be determined?Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.
From the question, p = number of pounds Juan will buy.
candy=costs $8 per pound
$20/$4 = 5 pounds
p>5
at least 5 pounds
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Evan swims 321 laps in a month. He swims for 22 days in the month, How
many laps does he swim each day? Write your answer as a mixed number,
14 laps
14 13/22 laps
15 5/22 laps
14 7/22 laps
Answer:
Step-by-step explanation:
321
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4,6,14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9,18, 20, and 22. There are two dots above 6, 10, 12,14, and 16. The graph is titled Bus 18 Travel Times.
Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer.
Bus 18, with an IQR of 16
Bus 47, with an IQR of 24
Bus 18, with a range of 16
Bus 47, with a range of 24
The bus that is the most consistent, given the data collected on travel times to school from two groups of students is C Bus 18, with a range of 10
How to find the consistent bus ?To determine which bus is the most consistent, we should use the interquartile range (IQR) as the measure of variability. The IQR measures the spread of the middle 50% of the data, which makes it less sensitive to outliers compared to the range.
Bus 47:
Median (Q2): 16
Q1: 10
Q3: 22
IQR = Q3 - Q1 = 22 - 10 = 12
Bus 18:
Median (Q2): 12
Q1: 8
Q3: 18
IQR = Q3 - Q1 = 18 - 8 = 10
Bus 18 has a smaller IQR than Bus 47 (10 vs. 12), which means the travel times for Bus 18 are more consistent.
Note: Figures might be different due to options being for different variant but Bus 18 is the most consistent.
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MATH QUESTION SCREEN SHOT DOWN BELOW BRAINLIEST!
Help me please, I’m very confused on what to do
Just add the powers while it is multiply
-1+(-3)
= -1 - 3
= -4
So it is \(2^{-4}\)
Will give points please help
Answer:
Part A
Step-by-step explanation:
Did test for flvs, brainliest please ;)
Using a scale of 1/2 cm = 75 km, how many kilometers would each distance represent? 4 1/2 cm = ____ km, 2 1/4 cm = ___ km , 5 3/4 cm = ____ km. Please Help.
F.IF.8.b Use the properties of exponents to interpret expressions for exponential functions.Question 2 of 6A study is done on the number of bacteria cells in a petri dish. Suppose that the population size Pafter t hours is given by the following exponential function.P(t) = 1500(1.07)'Find the initial population size.Does the function represent growth or decay?Ogrowth decayBy what percent does the population size change each hour?_%
SOLUTION
The given function is:
\(P(t)=1500(1.07)^t\)To find the initial population substitute t=0 into the function:
\(P(t)=1500(1.07)^0\)Calculate the value
\(P(t)=1500\)Notice that as the number of hours increases the population will also increase.
Hence the function is a growth function.
The function can be written as:
\(P(t)=1500(1+0.7)^t\)Therefore the population increases by 7% each hour.
please help me with this question
For the function f defined below, what is the value of f(-2)?
f(x) = x+12 over 2
a.-2
b.-1
c.3
d.5
Answer:
5
-2+12=10
10/2=5
Step-by-step explanation:
If ∑X = 4,390 and n= 4, what is M?
O a. 1,097.5
O b. 17,560
O c. need more information
O d. .0100
The mean of the data is 1097.5
What is mean value?A mean in math is the average of a data set, found by adding all numbers together and then dividing the sum of the numbers by the number of numbers. For example, with the data set: 8, 9, 5, 6, 7, the mean is 7, as 8 + 9 + 5 + 6 + 7 = 35, 35/5 = 7.
Mean = summation of item /number of items
summation of item = 4390
number of items = 4
therefore mean = 4390/4
= 1,097.5
therefore the mean if the data is 1,097.5
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20 + 549+ 48574 - 46567476 x 987665 +1 if a apple is a shoo wath is a ñ
if (20 + 549+ 48574 - 46567476 x 987665) is the calculations of a number of apples, its total value is mathematically given as
X=−4.59930662*10^13
What is the number of apples?Generally, the equation for the statement is mathematically given as
20 + 549+ 48574 - 46567476 x 987665 +1
Let's equate it to x, Therefore
X= 20 + 549+ 48574 - 46567476 x 987665 +1
Using BODMAS
X= 20 + 549+ 48574 - 4.59930662*10^13 +1
X=49143-4.59930662×10^13
X=−4.59930662×10^13
In conclusion, the number of apples
X=−4.59930662*10^13
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help please !!! will give brainliest
Answer:
x=-1
Step-by-step explanation:
(15-6+12+x ) / 4 = 5
20 = 27-6+x
20=21+x
x=-1
5. Rewrite the last number by moving the decimal point to the place where it makes sense.
A. The product of two numbers is 379.5. One factor is 13.8, and the
other factor is 275.
B. Casey is reading her book at the rate of 3,900 pages per hour.
C. 155+ 24.8= 62.5.
D. Paper, which costs 1.32¢ each sheet, costs $1,320 for a thousand sheets.
Answer:
B
Step-by-step explanation:
B is answer because we can divided it without decimal
3/4 - 3/10 in simplest form
Answer: 9/20
Step-by-step explanation:
1) Find the Least Common Denominator (LCD) of 3/4 and 3/10. In other words, find the Least Common Multiple (LCM).
The LCM would be 20
2) Make the denominators the same as the LCD
3*5/4*5 - 3*2/10*2
3) Simplify
15/20 - 6/20
4) Now combine both fractions because they have the same denominator.
ANS= 9/20