What property do rectangles and parallelograms always share? 4 right angles 4 sides of equal length 2 pairs of parallel sides 2 acute angles (1 answer choice)
Answer:
A property that rectangles and parallelograms always share is that they both have two pairs of parallel sides.
Step-by-step explanation:
A rectangle is a shape that has two pairs of parallel sides and has 4 right angles.
A parallelogram is a shape that has two pairs of parallel sides and has 2 pairs of congruent sides.
The only thing these shapes have in common is that they both have two pairs of parallel sides.
Answer:
C: 2 pairs of parallel side
Step-by-step explanation:
I got it correct in a quiz I did that had this question.
30 POINTS!!! Heather is collecting dimes. She saves one dime on the first day, two dimes on second day, and three dimes on third day. If this pattern continues, hom much money will heather have saved at the end of 30 days? Please Explain!
Answer:
hope dis help ;_;
Step-by-step explanation:
It's easy to see the manual solution: 1(.1) + 2(.1) + 3(.1) +......+ 30(.1).
But nobody wants to do that repetitive computation. If we factor out the (.1),
we see (.1) * (1+2+3+4...+30). Still somewhat repetitive, but not bad for just 30.
We really need a formula for big numbers though. The short cut for adding a series
of numbers is to find the average of the first and last numbers and multiply by how
many there are in the list:
(first + last)(the quantity of numbers) / 2 = (1 + 30)(30) / 2 = 465
465(.1) = $46.50
The money that Heather will save at the end of 30 days will be 465.
What is arithmetic progression?
Arithmetic progression is a sequence of numbers with a common difference. It is given by,
aₙ = a₁ + (n - 1)d
Where,
aₙ = the nᵗʰ term in the sequence
d = common difference
a₁ = first term
Now,
We have,
Heather saves one dime on the first day, two dimes on the second day, and three dimes on the third day and continues for 30 days.
So,
Money saved on the first day = 1
And,
Money save on 30 day = 30
So,
Using the sum of Arithmetic progression formula,
Sₙ = n/2 [ a + l ]
where,
n = 30
a = first term = 1
l = last term = 30
Now,
Sₙ = n/2 [ a + l ]
Sₙ = 30/2 [ 1 + 30]
Sₙ =15 × 31
Sₙ = 465
So, money saved at the end of 30 days = 465
Hence we can say that the money that Heather will save at the end of 30 days will be 465.
To learn more about arithmetic progression click here,
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2- una medalla pesa 15 gramos. si el 12% es de plata cuantos gramos de plata tiene?
Answer: la medalla tiene 1.8 gramos de plata.
Step-by-step explanation:
Hola, para responder esta pregunta debemos multiplicar el peso total de la medalla (15 gramos) por el porcentaje de plata en la medalla expresado en forma decimal (porcentaje dividido por 100)
Matemáticamente hablando:
15 x (12/100) = 15 x 0.12 =1.8 gramos
En conclusión, la medalla tiene 1.8 gramos de plata.
Lines L and M are parallel.
4
3
5
L
2
1/6
38° 7.
- M
Find : m24
Enter the number that
belongs in the green box.
?]
Enter
Answer:
38°solution,
<2=38°( being corresponding angles)
<4=<2( being vertically opposite angles)
=38°
About corresponding angles:
Please look the first one picture.
There,
<b is an exterior and <d is an interior angle lying to the same side of transversal and they are not adjacent to each other.They are called corresponding angle.A pair of corresponding angles made by a transversal with parallel lines is always equal.
About vertically opposite angles
please look the second one picture.
there,
<AOC and <BOD are formed by intersected line segments and they lie to the opposite side of common vertex.They are called vertically opposite angles.<AOD and <BOC are another pairs of vertically opposite angles.Vertically opposite angles are always equal.
<AOC=<BOD
<AOD=<BOC
Hope this helps...
Good luck on your assignment..
Evaluate 0.212121... + 0.021021021... − 0.145714571457...
Finding the exact value of each number goes like this:
x = 0.212121...
100x = 21.212121...
==> 100x - x = 21.212121... - 0.212121...
==> 99x = 21
==> x = 21/99 = 7/33
Similarly:
y = 0.021021021...
1000y = 21.021021021...
==> 999y = 21
==> y = 21/999 = 7/333
and
z = 0.145714571457...
10000z = 1457.145714571457...
==> 9999z = 1457
==> z = 1457/9999
Then we end up with
x + y - z = 32345/369963
What method can be used to write the equation of a line in slope-intercept form given two points? Find the slope using the formula , and then substitute one point and the slope into the equation to find the y-intercept. Find the slope using the formula , and then substitute one point and the slope into the equation to find the y-intercept. Find the y-intercept using the formula , and then substitute one point and the y-intercept into the equation to find the slope. Find the y-intercept using the formula , and then substitute one point and the y-intercept into the equation to find the slope.\
I'm sorry it took this lobg
Consider the line - 8x-5y = -7.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Answer:
See below
Step-by-step explanation:
First, you need to find the slope of the given line. You can do this by rearranging the equation so that it is in slope-intercept form (y = mx + b).
-8x - 5y = -7
-5y = 8x - 7
y = -8/5x + 7/5
The slope of this line is -8/5.
The slope of a line that is perpendicular will be the negative reciprocal. You have to change the sign, and basically flip the numerator upside down. The slope of the perpendicular line will be 5/8
-8/5 = 8/5 = 5/8
The slope of a line that is parallel will be equal. This means that the slope will be -8/5.
Two dice are numbered 1,2,3,4,5,6 and 1,1,2,2,3,3 respectively. They are rolled and
the sum of the numbers on them is noted. Find the probability of getting each sum
from 2 to 9 separately.
Answer:
P(2) = 1/18
P(3) = 1/9
P(4) = 1/6
P(5) = 1/6
P(6) = 1/6
P(7) = 1/6
P(8) = 1/9
P(9) = 1/18
Step-by-step explanation:
Each die has six possible outcomes, so both dice together have 6*6 = 36 outcomes:
(1,1), (1,1), (1,2), (1,2), (1,3), (1,3),
(2,1), (2,1), (2,2), (2,2), (2,3), (2,3),
(3,1), (3,1), (3,2), (3,2), (3,3), (3,3),
(4,1), (4,1), (4,2), (4,2), (4,3), (4,3),
(5,1), (5,1), (5,2), (5,2), (5,3), (5,3),
(6,1), (6,1), (6,2), (6,2), (6,3), (6,3).
The sum of the values for each outcome is:
2, 2, 3, 3, 4, 4,
3, 3, 4, 4, 5, 5,
4, 4, 5, 5, 6, 6,
5, 5, 6, 6, 7, 7,
6, 6, 7, 7, 8, 8,
7, 7, 8, 8, 9, 9.
To find the probability of each sum, we just need to divide the number of times this sum appears over the total number of possibilities (36), so we have:
P(2) = 2/36 = 1/18
P(3) = 4/36 = 1/9
P(4) = 6/36 = 1/6
P(5) = 6/36 = 1/6
P(6) = 6/36 = 1/6
P(7) = 6/36 = 1/6
P(8) = 4/36 = 1/9
P(9) = 2/36 = 1/18
A point a is graphed at (0,5). Complete the coordinates of a shape that can be rotated around the y axis to create a cylinder provide an explanation for your answer to receive full credit.
Answer:
The coordinates of the shape (rectangle), that can be rotated around the y axis to create a cylinder are;
A = (0, 5)
B = (2, 5)
C = (2, 0)
D = (0, 0)
Step-by-step explanation:
A shape that can be rotated around the y axis to create a cylinder is a rectangle ABCD
Given that the rectangle is to be rotated about the y-axis to form a cylinder, the vertical sides of the rectangle are to be parallel to the y-axis such that the x coordinates at the top and bottom will be equal in the opposite vertical segments as follows;
The complete coordinates of the rectangle, ABCD that can be rotated around the y axis to create a cylinder are therefore presented as follows
A = (0, 5)
B = (2, 5)
C = (2, 0)
D = (0, 0).
How many different "words" can be made from the given words by re-arranging the letters? DIGIT KINDNESS MATHEMATICIAN
Kindness- skinned, sinned, kissed, skeins, skies, sides, kind, kinds, end 86 words
Digit- dig, it 8
Mathematician- titanic, intact, manic, cat, math, … 346
Answer:
digit: 60
kindness: 10080
mathematician: 129729600
Step-by-step explanation:
sorry if this isn't right, and sorry I don't have an explanation but this worked for me.
Is AABC-ADEF? If so, identify the similarity postulate or theorem that
applies.
O
A. Similar - AA
O
B. Similar - SAS
O
C. Similar - SSS
D. Cannot be determined
Answer:
A
Step-by-step explanation:
it's so obvious like how sas is it this is because pretenders are worse
Similar triangles may or may not be congruent
The true statement is (a) Similar - AA
From the complete question, we have the following highlights about the triangles
The angles at points A and D are congruent (85 degrees)The angles at points B and E are congruent (30 degrees)This means that the triangles are similar.
The similarity theorem is the AA theorem i.e. Angle-Angle
Hence, the true statement is (a) Similar - AA
Read more about similar triangles at:
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The probability of seeing a zebra at the zoo is 1/8. How many animals cannot be in the zoo?
Answer:
D. 42
Step-by-step explanation:
From the given value of probability
If each number represent exactly one animal and the probability of seeing a zebra = 1/8
Which means out of all the animals, the ratio is only one zebra to 8 total animal including itself
Total animal present in the zoo= = 8
Total zebra = 1
So probability goes back to 1/8
So it means that the ratio we will be dealing with should be multiple of 8.
From the options given below
That is between A.8 B.16 C.32 and D.42.
We can see that all are multiple of 8 except 42
The points (-3, 1), (-1, 1), (0, -1),(-1,-3), (-3, -3), and (-4, -1) are vertices of a polygon. What type of polygon is formed by these
points?
hexagon
pentagon
octagon
quadrilateral
solve this systems of linear equations.separate the x- and y-values with a comma 18x+7y=-89 9x-9y=18
Answer:
Step-by-step explanation:
18x+7y=-89 equation1
9x-9y=18 equation2
multiplying equation 2 by 2
2(9x-9y=18) 18x-18y=36 equation 3
subtacting equation 1 and 3
18x-18x+7y+18y=-89-36
25y=125
y=5
putting the values of y in equation1
18x+7(5)=-89
18x+35=-89
18x=-89-35
18x=-124
x=-6.8
(NEED HELP FAST , WILL GIVE BRAINLIEST!!!)
1. Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
2. What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
3. Test the residuals of two other points to determine how well the line of best fit models the data.
4. Use the line of best fit to help you to describe the data correlation.
Answer:
Explained below.
Step-by-step explanation:
The data from the scatter plot is as follows:
Arm Span Height
19.5 25
35.5 35
37.0 39
40.5 40
44.5 45
45.5 50
49.0 49
51.0 55
52.5 47
59.0 60
61.0 58
(1)
Compute the value of slope and intercept as follows:
[tex]\sum{X} = 495 ~,~ \sum{Y} = 503 ~,~ \sum{X \cdot Y} = 23822 ~,~ \sum{X^2} = 23660.5[/tex]
[tex]\begin{aligned} b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 503 \cdot 23660.5 - 495 \cdot 23822}{ 11 \cdot 23660.5 - 495^2} \approx 7.174 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 11 \cdot 23822 - 495 \cdot 503 }{ 11 \cdot 23660.5 - \left( 495 \right)^2} \approx 0.857\end{aligned}[/tex]
The equation of the line of best fit is, y = 0.857·x + 7.174.
(2)
The slope of the line represent the rate of change in y caused by one unit change in x.
In this case the slope of m = 0.857 indicates that as the arm span increases by 1 unit the height increases by 0.857 units.
(3)
To perform the Residual Test, simply take two values from the table and interchange the x and y values.
Consider the values: (37, 39) and (51, 55)
Compute the value of y if x = 39:
[tex]y = 0.857\cdot x + 7.174\\=0.857\times 39+7.174\\=40.597\\\approx 40.6[/tex]
The new value of y (40.6) is close to the original value (39.0)
Compute the value of y if x = 55:
[tex]y = 0.857\cdot x + 7.174\\=0.857\times 55+7.174\\=54.309\\\approx 54.0[/tex]
The new value of y (54) is close to the original value (55)
Thus, it can be said that the line of best fit models the data provided.
(4)
The line of best fit is:
y = 0.857·x + 7.174
The slope of the line is positive.
This implies that there is a positive relationship between the two variables.
The formula of slope in terms of correlation coefficient is:
[tex]\text{Slope}=r\times\sqrt{\frac{Var(x)}{Var(x)}}[/tex]
The correlation coefficient is directly proportional to the slope.
This implies that the correlation coefficient is also positive.
Thus, the variables Arm span and Height are positively correlated.
3^x+x³=17
solve for x
Answer:
Hello!
~~~~~~~~~~~~~~~
3^x+x³=17
= x = 2
Step-by-step explanation: Graph each side of the equation. The solution is the x - value of the point of intersection.
Hope this helped you! Brainliest would be nice! ❤︎
If f(x) = -15x + 3, then f^-1(x) =
Answer:
f^-1(x) is - (x -3)/15
Step-by-step explanation:
f(x) = -15x + 3
To find f^-1(x) equate f(x) to y
That's
y = f(x)
Which is
y = -15x + 3
Next interchange the terms x becomes y and y becomes x
That's
x = - 15y + 3
Make y the subject
We have
-15y = x - 3
Divide both sides by - 15
We get
y = x-3/-15
y = - x - 3/15
Therefore f^-1(x) is - (x -3)/15
Hope this helps you
AWARDING BRANLISG TO FIRST CORRECT ANSWER
(PHOTO ABOVE)
Answer:
Using difference of squares it is (a + c + b)(a + c - b).
Difference of squares formula: a² - b² = (a + b)(a - b)
In this case, a = a + 2 and b = b.
Pleas help!!!!
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional
questions
Online Content: Site 1
Explain what is meant by domain and range.
Answer:
Domain are the values of x-coordinates
Range are the values of y-coordinates
Step-by-step explanation:
In the set of ordered pairs {(-2, 0), (0, 6), (2, 12), (4, 18)}, the domain is the set of the first number in every pair (those are the x-coordinates): {-2, 0, 2, 4}. The range is the set of the second number of all the pairs (those are the y-coordinates): {0, 6, 12, 18}.
{(-2, 0), (0, 6), (2, 12), (4, 18)}
Domain: {-2, 0, 2, 4}.
Range: {0, 6, 12, 18}
Answer:
Domain- set of x-values
Range- set of y-values
Step-by-step explanation:
Domain
The domain of a function is the complete set of possible values of the independent variable. The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
When finding the domain:
The denominator (bottom) of a fraction cannot be zero The number under a square root sign must be positive in this section
Range
The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain. The range is the resulting y-values we get after substituting all the possible x-values.
How to find the range
The range of a function is the spread of possible y-values (minimum y-value to maximum y-value) Substitute different x-values into the expression for y to see what is happening. Make sure you look for minimum and maximum values of y. Draw a sketch!What is the common ratio of the following sequence?
-5, -20, -80,-
0-4
0 1
NI
04
NEYT OLIESTION
Answer:
4
Step-by-step explanation:
Given
-5, -20, -80, .....
Required
Determine the common ratio
The common ratio of a sequence is determined by dividing a term by its immediate previous term;
Let the term be represented with [tex]T_1, T_2, T_3[/tex] and the common ratio with r
From the analysis above;
[tex]r = \frac{T_2}{T_1}\ or\ r = \frac{T_3}{T_2}[/tex]
Substitute -5 for [tex]T_1[/tex]; -20 for [tex]T_2[/tex]; -80 for [tex]T_3[/tex]
[tex]r = \frac{-20}{-5}\ or\ r = \frac{-80}{-20}[/tex]
[tex]r = 4\ or\ r = 4[/tex]
Both values of r are the same;
Hence, the common ratio of the sequence is 4
From the figure, if y = 400 then find the value of x .
Answer:
70°Solution,
y=40°
now,
[tex]2x + y = 180( \: sum \: of \: angle \: in \: straight \: line) \\ or \: 2x + 40 = 180 \\ or \: 2x = 180 - 40 \\ or \: 2x = 140 \\ or \: x = \frac{140}{2} \\ x = 70 \: degree[/tex]
Hope this helps...
Good luck on your assignment...
which solution can be used to fill in both blanks in the table
Answer:
(5, 2)
Step-by-step explanation:
As 8x = 40
x = 40÷8
x = 5
This is the first solution
Then 4x + 4y = 28
We know that x = 5 as above
So let's substitute it:
4x + 4y = 28
(4 × 5) + 4y = 28
20 + 4y = 28
Let's get the 20 to other side
20 - 20 + 4y = 28 - 20
4y = 8
y = 8 ÷ 4
y = 2
Hence we get these two solutions
(5,2)
:-)
A company borrowed 25,000 at 35% and was charged at $2,625 in intrest . How long was it before the company repaid the money ?
Answer: 3.6 months.
Step-by-step explanation:
Given, A company borrowed 25,000 at 35% and was charged at $2,625 in interest.
Assume it as simple interest.
Formula : Interest = principal x rate x time. [Rate should be in decimal]
Substitute Principal = $25,000, Rate = 35% = 0.35 and Interest = $2,625 in the formula , we will get
[tex]2625=25000\times0.35\times\text{time}\\\\\Rightarrow\ \text{time}=\dfrac{2625}{25000\times0.35}=0.3[/tex]
So, time = 0.3 years = 0.3 x 12 months = 3.6 months.
8.
С
ТУ
A
Sasha delivers newspapers to subscribers that live within a 4-block radius of
her house. Sasha's house is located at point (0, -1). Points A, B, C, D, and E
represent the houses of some of the subscribers to the newspaper. To which
houses does Sasha deliver newspapers?
2
B
X
-4
-2
0
4
Sasha
2.
ID
E
-4
She delivers it to house 2
Which graph is defined by f(x)=x^2+5|x|+6
Answer: C
Step-by-step explanation:
You are given a graph which is defined by f(x)=x^2+5|x|+6
Where the intercept of the graph is 6
Since the equation of the graph has a modulus 5|x|. Which can be span to the negative x component and positive x component, the root of the quadratic function will both be at negative x component and positive x component.
Which are 2 and 3 or -2 and -3
Option C is therefore the best graph for the answer to the question.
Use multiples to write two fractions equivalent to 9/10 - 12/13, 36/40 18/20, 10/11 8/9 * 27/30 18/20, 27/30
Answer:
27/30 18/20
Step-by-step explanation:
When a grizzly bear hibernates, its heart rate drops to 10 beats per minute, which is %20, percent of its normal value. What is a grizzly bear's normal heart rate when not hibernating?
Answer:
50 beats/min
Step-by-step explanation:
normal heart rate = h
20% of h = 10
20/100 * h = 10
h = 10*5
= 50 beats/min
Hope this help!
PLS ANSWER NOW i'm desperate
Answer:
1.6 < x < 9.6
Step-by-step explanation:
The smallest the third side can be is greater than the difference of the other two sides
x > 5.6 -4
x > 1.6
The largest the third side can be is less than the sum of the other two sides
x < 5.6 +4
x < 9.6
1.6 < x < 9.6
Given O O below, the arcs GĦ and JK must be congruent.
G
#
A. True
70"
B. False
125
K
SUBM
Answer:
False.
Step-by-step explanation:
Just look at them. They aren't even similar.
A circle is a curve sketched out by a point moving in a plane. The given statement "Given circle O below, the arcs GH and JK must be congruent." is false.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.
For the given two arcs in the circle, the given statement "Given circle O below, the arcs GH and JK must be congruent." is false. This is because the measure of the central angle of the both arcs is not equal. Therefore, it can be concluded that the length of the two arcs is not equal.
Hence, the given statement is false.
Learn more about Circle:
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Evaluate the algebraic expression 5 + 9(x-8)2 for x = 9.
When x = 9,5+9(x-8)2 =