Answer:
Step-by-step explanation:
(1/8)t + (1/12)t = 1
1. Cannot multiply only one side of the equation. Incorrect
2. Correct
3. (3/24)t + (2/24)t =1; (5/24)t = 1 Correct
4. Incorrect addition
GEOMETRY HELP PLEASEEEEEEEEEE
Lesson 5-1 Exploring What Makes Triangles Congruent Practice and Problem Solving: A/B
Similar triangles may or may not be congruent.
The corresponding parts of XYZ and NPQ are: \(\mathbf{Z \cong Q}\) , \(\mathbf{YZ \cong PQ}\) , \(\mathbf{X \cong N}\) , \(\mathbf{NQ \cong XQ}\) , \(\mathbf{PN \cong YX}\).The unknown values are: \(\mathbf{y = 18}\) , \(\mathbf{z = 12}\) , \(\mathbf{L = 60}\) , \(\mathbf{C = 60}\), \(\mathbf{AC = 24}\).The congruent parts are: KL and RQ, KJ and RS, QS and LJQuestion 1 to 6:
Triangles XYZ and NPQ are similar triangles.
This means that:
Angles Z and Q, lines YZ and PQ, angles P and Y, angles X and N, lines NQ and XZ, lines PN and YX are corresponding sides and angles
Question 7 to 12:
Triangles LMN and CBA are similar triangles.
This means that:
\(\mathbf{7z+6 = 5y}\)
\(\mathbf{2y-12 = z + 12}\)
Collect like terms
\(\mathbf{2y= z + 12+12}\)
\(\mathbf{2y= z + 24}\)
Make z the subject
\(\mathbf{z = 2y -24}\)
Substitute \(\mathbf{z = 2y -24}\) in \(\mathbf{7z+6 = 5y}\)
\(\mathbf{7(2y -24) + 6 = 5y}\)
\(\mathbf{14y -168 + 6 = 5y}\)
\(\mathbf{14y -162 = 5y}\)
Collect like terms
\(\mathbf{14y -5y = 162}\)
\(\mathbf{9y = 162}\)
Divide both sides by 9
\(\mathbf{y = 18}\)
Recall that: \(\mathbf{z = 2y -24}\)
\(\mathbf{z = 2 \times 18 - 24}\)
\(\mathbf{z = 12}\)
\(\mathbf{L = 60}\)
\(\mathbf{LN = 2y - 12}\)
\(\mathbf{LN = 2 \times 18 - 12}\)
\(\mathbf{LN = 24}\)
\(\mathbf{C = L}\)
\(\mathbf{C = 60}\)
\(\mathbf{AC = LN}\)
\(\mathbf{AC = 24}\)
Question 13:
The congruent parts are: KL and RQ, KJ and RS, QS and LJ
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F(x)=x^2 what is g(x)
Please help please! No fake answers
Answer:
C)Parallel Lines
Step-by-step explanation:
f a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides those sides proportionally.
Find the k-Component of curl(F) for the vector fields on the plane.
F=(x + y)i + (2xy)j
Hi! The k-component of the curl of the given vector field F on the plane is (2y - 1)k.
To find the k-component of the curl of the given vector field F on the plane, let's first recall the formula for the curl of a vector field in Cartesian coordinates:
Curl(F) = (∂(Q)/∂x - ∂(P)/∂y)k
where F = Pi + Qj + Rk, P, Q, and R are the components of the vector field, and i, j, k are the standard unit vectors in the x, y, and z directions.
For the given vector field F = (x + y)i + (2xy)j, we have P = x + y and Q = 2xy. Now we can compute the partial derivatives:
∂(Q)/∂x = ∂(2xy)/∂x = 2y
∂(P)/∂y = ∂(x + y)/∂y = 1
Now, substitute these into the formula for the k-component of the curl:
Curl(F)_k = (∂(Q)/∂x - ∂(P)/∂y)k = (2y - 1)k
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The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either from Rome, Italy, or New York, New York: High Low Q1 Q3 IQR Median Mean Ď Rome 18 1 3 7 4 6. 5 6. 4 4. 3 New York 14 1 4. 5 8. 5 4 2005. 5 6. 1 3. 2 Which of the choices below best describes how to measure the center of these data? Both centers are best described by the mean. Both centers are best described by the median. The Rome data center is best described by the mean. The New York data center is best described by the median. The Rome data center is best described by the median. The New York data center is best described by the mean.
The Rome data center is best described by the mean. The New York data center is best described by the median. The third option C is correct.
The Mean and Median:The mean of a data set is the average of all the terms in the data set. The median of a data set is the value of the midpoint term in the frequency distribution.
From the given information, the table can be better expressed as:
High Low Q1 Q3 IQR Median Mean σ
Rome 18 1 3 7 4 6.5 6.4 4.3
NY 14 1 4.5 8.5 4 5.5 6.1 3.2
From the data sets in the table, the distribution for Rome is not largely diverse, and there isn't much departure from the mean value. It indicates that in the data set of Rome families, no outliers have occurred.In New York, the data indicate a distinct outlier for New York families in Q3. This is due to the fact that the gap is so large, the mean may not be a good choice for determining the measure of the central tendency.Therefore, we can conclude that, the Rome data center is best described by the mean and the median will be utilized to determine the central tendency in New York.
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What is the difference between frequency distributions and percentage distributions, and how are they used differently
Frequency distributions, count the number of times each value or range of values appears in a dataset, while percentage distributions show the proportion or percentage of times each value or range of values appears in the dataset.
Frequency distributions are useful for summarizing and describing the distribution of a variable in a data set, while percentage distributions are useful for comparing different variables or subgroups within the data set.
For example, a frequency distribution could be used to show the number of hours of sleep each participant in a study gets per night, while a percentage distribution could be used to compare the number of hours of sleep between males and females in the study.
Frequency distributions and percentage distributions provide different perspectives on the same data set and can be used together to gain a more complete understanding of the data.
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Help!! 10 pts and brainliest!
Answer:
99 square units
Step-by-step explanation:
The scale factor works for linear dimensions like length, width, and perimeter. For a scale factor of k, area changes by k^2.
Here you have a scale factor of 3, so the4 area increases by a scale factor of 3^2 which is 9.
original area = 11 square units
scaled area = 9 * 11 square units = 99 square units
Tyra spends a total of $33 for three T-shirts. Each T-shirt costs the same amount of money.
Which bar model could be used to show this situation?
3
Х
Х
O
Х
33
3
O
Х
33
33
о
Х
3
Х
Х
Х
33
Answer:
number 4/the last option
Step-by-step explanation:
this is because each individual Tshirt = X. and we already know that we have 33$ to spend
Brainliest
A trial is 9/10 of a mile long. Abdul hiked 2/5 of the length of the trial. Which steps could be used to determine how far he hiked, in simplest terms? Check all that apply.
Answer:
Find the product as follows 9/10 x 2/5= 18/50
Step-by-step explanation:
I had this question and got it right!
what is m% of p% of n?
MY LAZY BUTT DON'T WANNA DO THIS
Given / || m. Based only on the fact that lines / and n are parallel, which of the following pairs of angles could you conclude are congruent. 1 and 2. 3 and 6. 4 and 8. 1 and 4.
The pairs of angles that are congruent angles, based on the fact that lines m and l are parallel, are: A) 1 and 2; D) 1 and 4.
What are Congruent Angles?Congruent angles are angles that have the same measure. In other words, if two angles have the same degree of opening, they are considered congruent. Congruent angles are denoted by the symbol ≅.
Given that lines m and l are parallel, therefore, we have:
Angle 1 ≅ angle 2 based on vertical angles theorem,
Angle 1 ≅ angle 4 based on alternate exterior angles theorem.
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Tim thought of a number, x. he multiplied x by 15:and then subtracted 3. and then Tim told Jim the result, y.
Write a formula that will help Jim quickly find Tim’s number if he knows the value of y.
Answer: x = (y+3)/15.
Step-by-step explanation:
We know that 15x - 3 = y.
We can add 3 to both sides:
15x = y + 3
We can divide both sides by 15:
x = (y+3)/15.
Therefore, if given y, we can find x by computing (y+3)/15.
HELP ME PLEASE!!! What is the value of y for the parallelogram shown A. 66 B. 60 C. 22 D. 38
Answer:
22Option C is the correct option.
Solution,
\(3y = 66\)
(opposite angles of parallelogram are equal )
\( or \: 3 \times y = 66 \\ or \: y = \frac{66}{3} \\ y = 22\)
hope this helps...
Good luck on your assignment..
The value of y for the parallelogram shown in A will be 22°.
What is the definition of geometry?It is concerned with the geometry, region, and density of various 2D and 3D shapes.
The alternate opposite angle of the parallelogram are equal;
⇒∠A = ∠ C
⇒ 3y° = 66
⇒ y = 22°
Hence the value of y for the parallelogram shown in A will be 22°.
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can anyone answer this please
Answer:
1. Multiply
2. I don't know this one
3. Subtract
4. Subtract
5. Multiply
Step-by-step explanation:
3. Consider the quadratic equation x2 + 2x - 35 = 0. Solve by factoring and using the zero-product property. What are solutions to quadratic equations called? Show your work.
Answer:
×=-2+12/2,the anwser is ×=5,×=-7
I’m soooo grateful for you guys that’s helping me!!!
Answer:
52
Step-by-step explanation:
plz help
Factor:
49 − y^2
Write an integer that represents spending $40
Answer:
-40
Step-by-step explanation:
you are subtracting 40.
Would this be correct?
The price of gasoline has increased from $2.00 per gallon to $3.00 per gallon. how would this price change be represented on the demand curve?
If the price of gasoline has increased from $2.00 per gallon to $3.00 per gallon. how would this price change be represented on the demand curve is: a movement from one point on the line to a higher point on the line.
What is demand curve?Demand curve can be defined as the curve that show price of goods and services produced as well as the quantity demanded for the goods produce at a particular period of time.
The price change can be represented on the demand curve when price increase and this happen when the price of goods move from one point on a line to a higher point on the line
Therefore how would this price change be represented on the demand curve is: a movement from one point on the line to a higher point on the line.
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What is the cost of the sweatshirt if the regular price is $42 and sales tax is 7.5%?
Answer:
$45.15
Step-by-step explanation:
42+(42)(.075)
42+3.15=45.15
It is geometry the question is on the paper can you please help me I’m desperate
Given:
The lines l and m are parallel lines and x=40 degrees.
To find the angle:
\(\angle\text{DEF}\)We know that alternate angles are equal.
So that,
\(\begin{gathered} \angle EDG=x \\ =40^{\circ} \end{gathered}\)And then, using the angle sum property of a triangle,
\(\begin{gathered} \angle EDG+\angle DFE+\angle DEF=180^{\circ} \\ 40^{\circ}+40^{\circ}+\angle DEF=180^{\circ} \\ \angle DEF=180^{\circ}-40^{\circ}-40^{\circ} \\ \angle DEF=100^{\circ} \end{gathered}\)Thus, the measure of angle DEF is 100 degrees.
jane must select 3 different items for each dinner she will serve. the items are to be chosen from among 5 different vegetarian and 4 different meat selections. if at least one of the selections must be vegetarian, how many different dinners can jane create?
Jane can create 77 different dinners that include at least one vegetarian selection.
To find the number of different dinners that Jane can create, we can use the principle of inclusion-exclusion.
First, let's find the total number of different dinners Jane can create, without any restrictions on the selections. This is simply the number of ways to choose 3 items from a set of 9 items:
\(${9 \choose 3} = \frac{9!}{3!6!} = 84$\)
now to find the number of dinners that include only meat selections. Jane can choose 3 meat items from a set of 4 meat items:
\(${4 \choose 3} = 4$\)
Similarly, the number of dinners that include no vegetarian selections can be calculated.Jane can choose 3 items from a set of 4 meat items:
\(${4 \choose 3} = 4$\)
Now, we can use the principle of inclusion-exclusion to find the number of dinners that include at least one vegetarian selection.
$84 - 4 - 4 + 1 = 77$
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Graph the line.
y - 4x = -8
Q=2u2 - 5
(d) Find the value of Q when u=-3
Answer:
q=13
Step-by-step explanation:
u=-3
q=2u^2 - 5
q=2(-3)^2 - 5
q= 2(9) - 5
q= 18 - 5
q=13
a = 28, d = 10 Find the 30th term
Answer:
318
Step-by-step explanation:
Arithmetic sequence:
a = 28 ; d = 10 & n = 30
\(\boxed{a_{n}=a +(n-1)d}\)
a₃₀ = 28 + (30 - 1)*10
= 28 + 29 *10
= 28 + 290
= 318
The coordinates of triangle DEF are D(4,3) E(8,3 and F(6,8). If you tendkwte triangle DEF 3 units right and 3 units down what are the coordinates of F
Answer:
(9,5)
Step-by-step explanation:
A person starts walking from home and walks:____.
a. 5 miles east
b. 6 miles southeast
c. 6 miles south
d. 7 miles southwest
e. 4 miles east
The person has walked a total of 28 miles. To calculate total distance walked by the person, we add up the distances in each direction
5 miles East + 6 miles Southeast + 6 miles South + 7 miles Southwest + 4 miles East
When we add these distances together, we get:
5 + 6 + 6 + 7 + 4 = 28
Therefore, the person has walked a total of 28 miles.
In more detail, let's break down the distances walked in each direction:
- 5 miles East: This means the person walked 5 miles in the East direction.
- 6 miles Southeast: This means the person walked 6 miles in the direction that is both South and East.
- 6 miles South: This means the person walked 6 miles in the South direction.
- 7 miles Southwest: This means the person walked 7 miles in the direction that is both South and West.
- 4 miles East: This means the person walked 4 miles in the East direction.
By adding up these distances, we find that the person has walked a total of 28 miles.
#A person starts walking from home and walks: 5 miles East 6 miles Southeast 6 miles South 7 miles Southwest 4 miles East This person has walked a total of ---miles
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HELP PLS & THANK YOU
Answer:
Step-by-step explanation:
the bakery department in a supermarket had sales last week of $15,349. if the department occupies 300 square feet of space, what were the department's sales per square foot for the week?
The department's sales per square foot are $51.16 per square foot.
What is division?Division is the process of dividing a number by a given number.
Given that, the supermarket had sales last week of $15349, and the area of the department is 300 square feet.
The sales per square foot are:
(total sales)/ (total area)
= 15349/300
= 51.16
Hence, the department's sales per square foot are $51.16 per square foot.
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