Answers
Choice 2) 44
From definition of a parallelogram, the opposites are equal. Therefore we can conclude that 4x+28=10x+4, then solve.
6x=24
x=4
RS=10x+4=10*4+4=44
Answer is 44. Done!
Related Questions
Samuel left his house at time zero and drove for 2 minutes to the store at a speed of 1 block per minute. Then he stopped and went into the store for 3 minutes. From there, he drove in the same direction at a speed of 5 blocks per minute until he got to the bank, which is 10 blocks away from the store. He stopped at the bank for 2 minutes. Then he drove home at a speed of 3 blocks every 2 minutes. Make a graph of showing the number of blocks away from home that Samuel is
x
x minutes after he leaves his house, until he gets back home.
Answers
The data is formed using the given information and a graph is plotted which can be used to find the distance of Samuel from the house x minutes after he leaves.
What is meant by distance?
Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively. The distance can refer to a physical length in physics or to an estimate based on other factors in common usage. The length of the entire journey taken to get from one point to another is the distance travelled. Travel distance is not a vector. Distance is exactly proportional to velocity when time is constant, hence speed is simply distance divided by time.
Time at which Samuel left the house = 0 min
Time taken to drive to the store = 2 minutes
Speed = 1 block/min
Time spent in the store = 3 min
Speed after coming out of the store and to the bank = 5 block /min
The distance between the store and the bank = 10 blocks
Time taken to reach bank = 10/5 = 2 min
Time spent in the bank = 2min
Speed to drive back home = 3 blocks / 2min = 1.5 block/min
Distance between bank and home = 12
Time taken to reach home = 12/1.5 = 8 min
The graph is plotted using this information
time blocks away
0 0
2 2*1 = 2
5 2
7 10+2 = 12
9 12
17 0
Therefore the data is formed using the given information and a graph is plotted which can be used to find the distance of Samuel from the house x minutes after he leaves.
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A group of 450 middle school students were randomly selected and asked about their preferred television genre. A circle graph was created from the data collected.
a circle graph titled preferred television genre, with five sections labeled drama 14 percent, sports 22 percent, documentaries, reality 20 percent, and sci-fi 20 percent
How many middle school students prefer the Documentaries television genre?
24
76
86
108
Answers
Answer:
108 students
Step-by-step explanation:
First, we need to determine the percent that is documentaries.
The total must be 100%
14+22+20+20 + d = 100
76+d = 100
d = 100-76
d = 24
The percent that is documentaries is 24%
Multiply 24% by 450 middle school students.
.24 * 450
108
(a) how many poker hands (sets of 5 cards) consist of exactly 2 aces and 3 kings? (b) assume we deal the entire deck. what is the probability that the first king is dealt out on the 13th card ?
Answers
a) The number of poker hands with exactly 2 aces and 3 kings is 24.
b) The probability that the first king is dealt out on the 13th card is approximately 0.0045, or approximately 0.45%.
a) To find the number of poker hands with exactly 2 aces and 3 kings, we have to choose which 2 aces out of the 4 available and which 3 kings out of the 4 available to include in our hand. We can do this in C(4,2) * C(4,3) ways, where C(n, k) is the number of combinations of n things taken k at a time.
Therefore, the number of poker hands with exactly 2 aces and 3 kings is C(4,2) * C(4,3) = 6 * 4 = 24.
b) The probability that the first king is dealt on the 13th card is the number of combinations of 12 cards that do not include any kings divided by the total number of combinations of the first 12 cards. This can be calculated as (48 choose 12) / (52 choose 12), where C(n, k) is the number of combinations of n things taken k at a time.
The probability is (48 choose 12) / (52 choose 12) = (48! / (12! * (48-12)!) ) / (52! / (12! * (52-12)!)) = (48 * 47 * 46 * 45 * 44 * 43 * 42 * 41 * 40 * 39 * 38 * 37) / (52 * 51 * 50 * 49 * 48 * 47 * 46 * 45 * 44 * 43 * 42 * 41) = approximately 0.0045, or approximately 0.45%.
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Simplify 7(x - 1) - 2(x + 1) + 3(x - 4)
a)8 x + 21
b)8 x - 21
c)8 x - 4
Answers
Answer:
b) 8 x - 21
Step-by-step explanation:
Apply the distributive property.
7
x
+
7
⋅
−
1
−
2
(
x
+
1
)
+
3
(
x
−
4
)
Multiply
7
by
−
1
.
7
x
−
7
−
2
(
x
+
1
)
+
3
(
x
−
4
)
Apply the distributive property.
7
x
−
7
−
2
x
−
2
⋅
1
+
3
(
x
−
4
)
Multiply
−
2
by
1
.
7
x
−
7
−
2
x
−
2
+
3
(
x
−
4
)
Apply the distributive property.
7
x
−
7
−
2
x
−
2
+
3
x
+
3
⋅
−
4
Multiply
3
by
−
4
.
7
x
−
7
−
2
x
−
2
+
3
x
−
12
Subtract
2
x
from
7
x
.
5
x
−
7
−
2
+
3
x
−
12
Add
5
x
and
3
x
.
8
x
−
7
−
2
−
12
Subtract
2
from
−
7
.
8
x
−
9
−
12
Subtract
12
from
−
9
.
8
x
−
21=
8
x
−
21
there are 18 sweets in a packet. 8 of the sweets are mint what fraction of the sweets are not mint
Answers
Answer:
10/18 of the sweets are not mint
you can also simplify this fraction and say 5/9
reduce the radicals of √224
Answers
Answer:
i dont know i just needed points
Step-by-step explanation:
^^
The figure is made up of two identical quarter circles and a rectangle. The length of the rectangle is 35 cm and its breadth is 20 cm. Find the perimeter of the figure. (Take Pi = 3.14)
Answers
Answer:
110 is the aswer
Step-by-step explanation:
Do the details of Example 3 as follows:
(a) Verify that the four matrices in (7.14) are all orthogonal and verify the stated values of their determinants.
(b) Verify the products C = AB and D = BA in (7.15).
(c) Solve (7.16) to find the reflection line.
(d) Analyze the transformation D as we did C.
Answers
a) The four matrices given in (7.14) are:
\(�1=12(111−1),\)
det
\((�1)=−1�2=15(2−1−12),det(\)
\(�2)=1�3=110(122−1),det(�3)=−1�4=113(3−2−2−3),det\)
\((�4)=1Q 1 Q 2 Q 3 Q 4 = 2 1 ( 11 1−1 ),det(Q 1 )=−1= 5 1 ( 2−1 −12\)
),det(Q
\(2 )=1= 10 1 ( 12 2−1 ),det(Q 3 )=−1= 13 1 ( 3−2 −2−3 ),det(Q 4 )=1\)
To verify that these matrices are orthogonal, we need to check that $Q_iQ_i^T=Q_i^TQ_i=I$ for $i=1,2,3,4$. Let's check this for $Q_1$ as an example:
\(�1�1�=12(111−1)(111−1)=(1001)=�Q 1\)
Q
\(1T = 21 ( 11 1−1 )( 11 1−1 )=( 10 01 )=Iand�1��1=12(111−1)(111−1)=(1001)=�Q 1T Q 1 = 21 ( 11\)
\(1−1 )( 11 1−1 )=( 10 01 )=I\)
Thus, $Q_1$ is orthogonal. Similarly, we can check that $Q_2$, $Q_3$, and $Q_4$ are orthogonal as well.
(b) The product $C=AB$ can be computed as follows:
\(�=��=�4�3�2�1=113(3−2−2−3)110(122−1)15(2−1−12)12(111−1)=1130(1−32−32−1)C\)
\(=AB=Q 4 Q 3 Q 2 Q 1 = 13 1 ( 3−2 −2−3 ) 10 1 ( 12 2−1 ) 5 1 ( 2−1\)
\(−12 ) 2 1 ( 11 1−1 )= 130 1 ( 1−3 2 −3 2 −1 )\)
The product $D=BA$ can be computed as follows:
\begin{aligned}
D &= BA = Q_1Q_2Q_3Q_4 \\
&= \frac{1}{\sqrt{2}}\
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1. Juanita sold
of her lemonade before
4
noon and after noon. What fraction
2
of her lemonade did she sell in all?
A.
1
4
B.
3
4
C.
ON
D.
2
4
Answers
Answer:
the answer is 3/4
the answer is 3/4
Hector is building a metal sculpture in the shape of an equilateral triangle. After he divides ametal bar into 3 equal pieces, Hector figures each side of the triangular sculpture can be atmost 9 feet long.Let x represent the perimeter of the triangular sculpture. Which inequality describes theproblem?
Answers
One of the properties of an equilateral triangle is that all the sides are equal
From the statement given, each of the lengths of the triangle is at most 9 feet long means that each of the lengths is less than or equal to 9 feet
This can be represented mathematically as
\(\begin{gathered} l\leq9ft \\ \text{Where l is the length} \end{gathered}\)The perimeter of an equilateral triangle is the addition of the three equal lengths i.e.
\(l+l+l=\text{ 3l}\)If x represents the perimeter, then
Lori had $126.89 in her bank account. She deposited $21.49 into it and then wrote a check for her car repairs for $156.61. What was the ending balance in her account?
–$51.21
–$8.23
$8.23
$51.21
Answers
Answer:
hi here is your answerr!
Step-by-step explanation:
Lori had $126.89 in her bank account.
She deposited $21.49 into it and then wrote a check for her car repairs for $156.61
126.89+ 21.49=148.38
148.38-156.61=−8.23
she owes the bank $8.23
Answer:
$105.49
Step-by-step explanation:
126.89-$21.49
= $105.49
Which relationship in the triangle must be true?
A
с
a
sin(B) = sin(A)
Osin(B) = cos(90 - B)
O cos(B) = sin(180-B)
Ocos(B) = cos(A)
B
Answers
The relationship in the triangle that must be true is sin B = cos (90 - B).
option B.
What are complementary angles?Complementary angles are two angles that add up to 90 degrees. In other words, if you have two angles that are complementary, the measure of one angle added to the measure of the other angle will equal 90 degrees.
In the given diagram, angle A is complementary to angle B.
90 - B = A
From the diagram, Sin B = b/c
Cos (90 - B) = Cos A = b/c
So Cos (90 - B) is equal to sin B because the two angles are complementary.
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the line passes through (-6,9)
perpendicular to y=3x-2
Answers
The key to understand this problem is that perpendicular lines have slopes that are the negative reciprocals of each other. Example, a line with slope 3/4 has a perpendicular with a slope of -4/3. So flip it over and take the negative. Like 7/12 and -12/7 or 2 and -1/2 (because 2 = 2/1)
The slope of y = 3x - 2 is 3 (the number preceding the "x' if the line is in the form y = mx + b)
So the line perpendicular to y = 3x - 2 has a slope of -1/3.
So now you just need to write the equation of the line with slope -1/3 that goes through (-9, 5). Use the point-slope form, y - y1 = m(x - x1) where (x1, y1) is (-9, 5) and m = -1/3
y - 5 = -1/3(x - -9)
y - 5 = -1/3(x + 9)
That's the answer. If they want you to give the answer in the y= mx + b format (slope-intercept) then multiply it out and combine like terms.
y - 5 = -1/3(x + 9)
y - 5 = -1/3x - 3
y = -1/3x + 2
Compare the expressions if a is less than b
-12.7a...-12.7b
What sign should be between -12.7a and -12.7b?
Answers
The required sign between -12.7a and -12.7b should be greater than sign (>).
If a is less than b, then -12.7a will be greater than -12.7b, because multiplying a smaller number by a negative constant (-12.7 in this case) will result in a larger negative value than multiplying a larger number by the same constant.
To see this, suppose we have two positive numbers x and y such that x < y. Then, multiplying both by a negative constant c will result in two negative numbers with magnitudes that are greater for x:
cx < cy, because c is negative and (x < y)
Therefore, if a is less than b, then:
-12.7a > -12.7b
So the sign between -12.7a and -12.7b should be greater than sign (>).
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Math is very complicated. It is very easy to forget, hard to learn, and rarely ever actually used (complicated math at least). But, if you remember no other equations or anything about math in your lifetime, remember these:
Life = Hell
Friends = Fake
Love = Lies
Life is like Hell. Friends are fake and don't actually care about you, they only care about themselves. And, what is love, the thing that people search for day after day? It is a matter of somebody thinking about their own gain. They don't love you, but rather love what they can gain from you.
Follow for more painfully true facts, and respond for points and maybe brainliest! :)
Answers
Nice to come across this though
Answer:
W o w, b l o w m y m i n d - O-O ✨
Step-by-step explanation:
Ill follow you UwU ✨ ✨
All of the following ratios are equivalent except
4
8 to 12
2:3
09
Answers
Answer:
The answer is 2:3 as the order is different. Simplified the first option is 2:3, the second one: 2:3, the third one 3:2 and the fourth one 2:3
An item cost dollars. If the price of the item increases by 11%, tue new price can be represented by the expression +.11 write a new expression
Answers
The vertices of a rectangle are located at the coordinates (1, 4), (1, 5), (6, 5), and (6, 4).
Find the length of the sides of the rectangle and its perimeter.
Answers
Check the picture below.
Sophia determined that the expression Negative (4 x minus 5) + 2 (x minus 3) is equivalent to –2x – 5 by using the steps below.
Which explains whether Sophia is correct?
She is correct because the value of the two expressions are the same in Step 3.
She is correct because she substituted opposite values in Step 1.
She is not correct because she did not substitute the same number in both expressions in Step 1.
She is not correct because she did not perform the correct order of operations in Step 3.
Answers
Answer:
3
Step-by-step explanation:
how do you write 4:2:2 in simplest form
ratio
Answers
Answer:
2:1:1
Step-by-step explanation:
Divide the whole ratio by the greatest common factor. That GCF is two.
Seraphina is driving two hours to visit her family. For the first hour, she traveled at a speed of 57 miles per hour. Then, in the second hour, she traveled at a speed of 73 miles per hour. What is the percentage increase of Seraphina's speed? If necessary, round to the nearest tenth of a percent.
Answers
The percentage increase of Seraphina's speed would be = 12.3%
How to calculate the percentage increase in speed of Seraphina?The speed she travelled in the first hour = 57miles/hr
The speed she travelled in the second hour = 73miles/jr
The increase in speed = 73-57 = 16
Therefore the percentage increase;
= 16/130×100/1
= 1600/130
= 12.3%
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Algebra 1 Final Exam 2020
A repair bill for your car is $850. The parts cost $325, and the labor cost is $55 per hour. What is the context of the slope?
Answers
6t-20-32u when t= 6 and u=1/4?
Answers
Answer:
8
Step-by-step explanation:
6t-20-32u
6(6)-20-32/4
36-20-8
16-8
Fabiana is going to construct a rectangular metal box with a volume of 150 in.. Her box will have a length of 2 inches, a width of 3 inches less than its length, and a height that is 1 inch more than its
length
Which cubic equation would help Fabiana find the length of the box?
O-22
3r - 1500
OZ- 2r? - 3x = 0
O 23 - 22 - 3.7 + 150 = 0
Or+? - 123=0
Answers
7 Point Question Tyler was trying to prove that all rhombuses are similar. He thought, “If I draw 2 rhombuses, I can find dilations that will take one rhombus exactly onto the other.” Then he wrote a proof. However, all rhombuses are not similar. Which steps in Tyler’s proof have flaws? Explain what is wrong with each step that is wrong. Step 1: Let ABCD and WXYZ be rhombuses. By the definition of a rhombus, AB≅BC≅CD≅DA and WX≅XY≅YZ≅ZW. Step 2: Dilate rhombus ABCD by the scale factor given by $$ WX AB. Side A'B' will be the same length as WX because of how I chose the scale factor. Because all sides of a rhombus are congruent, B'C' will be the same length as WX and therefore the same length as XY, C'D' will be the same length as YZ, and A'D' will be the same length as WZ. That means all the corresponding sides of A'B'C'D' and WXYZ will be the same length. Step 3: If all the sides in 2 figures are proportional, then those 2 figures are similar, so there must be a sequence of transformations that take ABCD onto WXYZ using dilations and rigid motions. Step 4: Translate A'B'C'D' by the directed line segment A'W so that A″ and W coincide. Step 5: Rotate A″B″C″D″ by angle B″WX so that B‴ and X coincide. Now segments A‴B‴ and WX coincide. Step 6: If needed, reflect A‴B‴C‴D‴ over segment WX so that D⁗ and Z are on the same side of WX. Now segments A⁗D⁗ and WZ coincide. Step 7: Once 3 vertices of the rhombus are lined up, the other vertex has to line up as well or else the shapes wouldn’t be rhombuses. So, we have shown we can use rigid motions and dilations to line up any 2 rhombuses, and therefore, all rhombuses are similar. (Select all that apply.) Step 1 is incorrect. The definition of a rhombus does not say that all the sides are equal. Step 2 is incorrect. The scale factor is not $$ . Step 3 is incorrect. It is only true for triangles that if all the side lengths in a figure are proportional, the figures must be similar. Step 4 is incorrect. Translating by the directed line segment
Answers
A rhombus can have the same shape and dimension as a square or a
parallelogram, therefore, all rhombuses are not similar.
A step in the proof that have flaws is step 3.Reasons:
By reading through the given steps, we have, the first step that is incorrect
is step 3.
Step 3: The requirement for the similarity of two figures based on the
proportionality of the corresponding sides of the figures is related with
triangles as given by the triangle proportionality theorem.
This is so because, the lengths of the sides of a triangle depends on the
opposite interior angle, while the side of a rhombus can have a
combination of large length and and acute angle.
Two rhombuses that have proportional sides may be dissimilar,
because they can have different interior angles.
Therefore;
The step in Tyler's proof that have a flaw is Step 3
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Solder-less lugs are quoted at $4.25 each less 40% for standard packages of 100 (quote includes the 40 percent discount). What will be the cost if only 22 are ordered at list price less 35%
Answers
The cost of ordering 22 solder-less lugs at the list price less 35% will be $101.20.
Solder-less lugs are priced at $4.25 each, including a 40% discount when purchased in standard packages of 100. To find the original price without the discount, we'll first calculate the price before the 40% discount:
$4.25 / (1 - 0.40) = $4.25 / 0.60 = $7.08 (rounded to 2 decimal places)
Now, if you only need 22 solder-less lugs and are eligible for a 35% discount, we'll calculate the discounted price for each lug:
$7.08 * (1 - 0.35) = $7.08 * 0.65 = $4.60 (rounded to 2 decimal places)
Finally, to find the total cost for 22 solder-less lugs with a 35% discount, we'll multiply the discounted price by the quantity ordered:
$4.60 * 22 = $101.20
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use a power series to approximate the definite integral, i, to six decimal places. 0.3 x4 1 x7 dx 0
Answers
The trapezoidal rule uses trapezoidal approximations to approximate the definite integral, whereas the midpoint rule uses rectangular regions to do so. By first approximating the original function with piecewise quadratic functions, Simpson's rule approximates the definite integral.
Since
"frac" (1-x) = (1-x)-1 = 1+x2+x3+x4+.... = "sum_n=0" infty" xn "hspace"
5mm for "left | x | 1"
How can a power-based integral be evaluated?
Power Rule for Integrals To apply this rule, simply add one to the exponent.The expression is then divided by the same number.The constant C is added in the final step. Now, we will solve some problems to determine the integrals of polynomials and root functions.
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PLEASE HELP making brainiiest if correct
Answers
Answer:
The Right answer is ASA.
Haley bought 5 boxes of pencils. She is going to give out the pencils to 10 of her friends. She wants to give each friend the same number of pencils. What does Haley need to know to figure out how many pencils she can give each friend?
Answers
We are given the quantities :
+) The number of boxes of pencils
+) The number of her friends
She cannot hand out pencils in boxes to her friends, as she has less boxes of pencils than the number of her friends (assuming they cannot share boxes of pencils.)
Therefore, the quantity we need to know is : The number of pencils in each box of pencils.
Bro please help me with this g+8.57=10.2
Answers
Answer:answer is 1.43
Step-by-step explanation: