Answer:
-9-9-9-9-9-9-9-9-9-9-9-9-9-9-9-9-9-9-9-9-9-9What contribution to geometry is attributed to the work of René Descartes?
René Descartes provided the first systematic link between Euclidean geometry and algebra.
What is Geometry?This branch of mathematics involves the study of object shape, their spatial relationship and that of their surrounding space.
René Descartes is referred to as the father of analytic geometry due to him establishing the relationship between Euclidean geometry and algebra.
Read more about Geometry here https://brainly.com/question/20303542
#SPJ1
Triangle L M Q is cut by perpendicular bisector L N. Angle N L Q is 32 degrees and angle L M N is 58 degrees.
Is TriangleMNL ≅ TriangleQNL? Why or why not?
Yes, they are congruent by either ASA or AAS.
Yes, they are both right triangles.
No, AngleM is not congruent to AngleNLQ.
No, there are no congruent sides.
Both triangles are congruent by either ASA or AAS Congruence Theorem. hence, the right answer is A: Yes, they are congruent by either ASA or AAS.
What is ASA Congruence Theorem?The ASA Congruence Theorem states that the two triangles are congruent if they have two pairs of congruent angles and a pair of congruent included sides.
The AAS Congruence Theorem states that the two triangles are congruent if they have two pairs of congruent angles and a pair of congruent non-included sides.
Triangle LMQ is shown in the figure attached below.
Thus, Proving
Triangle MNL ≅ triangle QNL (ASA)
Triangle MNL and triangle QNL have two pairs of congruent angles:
<LNM ≅ LNQ and <MLN and <QLN
Also, they have a common side: side LN (included side).
Therefore, Triangle MNL and triangle QNL are congruent by ASA.
Triangle MNL ≅ triangle QNL ( by AAS)
Triangle MNL and triangle QNL have two pairs of congruent angles:
<LNM ≅ LNQ and <NML and <NQL
Also, they have a common side: side LN (non-included side).
Thus, Triangle MNL and triangle QNL are congruent by ASA.
Hence, the right answer is: A: Yes, they are congruent by either ASA or AAS.
Learn more about the ASA and AAS Congruence Theorem on:
brainly.com/question/2102943
#SPJ1
Answer: option A
Step-by-step explanation:
27.
Make an orthographic drawing with top, left, front, and right side view of the model below.
front right
The orthographic projection based on the information given is illustrated below.
What is orthographic projection?It should be noted that orthographic projection is a common method that's used for representing three-dimensional objects where each of the object is viewed along parallel lines that are perpendicular to the plane of the drawing.
In this case, it is a form of parallel projection, where all the projection lines are orthogonal to the projection plane which then results in every plane of the scene appearing in affine transformation on the viewing surface.
Learn more about orthographic drawing on:
https://brainly.com/question/6678641
#SPJ1
The value of n from the set {6, 7, 8, 9} that holds true for 4n − 12 < 2n + 2 is?
The value of n that satisfies the inequality is 6.
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Given:
4n − 12 < 2n + 2
For n= 6
4(6) - 12 = 12
2(6) + 2 = 14
Thus, n=6 satisfies
For n= 7
4(7) - 12 = 16
2(7) + 2 = 16
Thus, n=7 not satisfies
For n=8
4(8) - 12 = 20
2(8) + 2 = 18
Thus, n=8 not satisfies.
For n= 9
4(9) - 12 = 24
2(9) + 2 = 20
Thus, n=9 not satisfies.
Learn more about inequality here:
https://brainly.com/question/20383699
#SPJ1
find the value of each variable in the parallelogram
Answer:
a= 79° because they are in the position of co interior and b°is 101 it's self because of VOA
The numbers of customers entering each of two stores every hour were
recorded. The results are shown. Which statement about the number of
customers at the stores is not correct?
40
40
HI
50
F
Store A
50
60
70
Store B
60
70
80
80
90
4
90
The incorrect statement is the typical number for customers in store A is greater than that of store B.
What is the incorrect statement?
A box plot is used to study the distribution and level of a set of scores. The box plot consists of two lines and a box. The end of the first line represents the minimum number and the end of the second line represents the maximum number.
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.
Spread of store A = 88 - 50 = 38
Spread of store B = 90 - 48 = 42
To learn more about box plots, please check: https://brainly.com/question/27215146
#SPJ1
7x⁴ + 3x² - 4 X= -2
Answer:
Step-by-step explanation:
i need help fast for both please
Find f.
write your answer as an integer or as a decimal rounded to the nearest tenth.
In the give diagram, the value of f is 6.0
The Law of sinesFrom the question, we are to determine the value of f
Using the law of sines, we can write that
[tex]\frac{f}{sinF} =\frac{e}{sinE}[/tex]
From the given information,
F = 27°
e = 13
E = 98°
Putting the parameters into the equation, we get
[tex]\frac{f}{sin(27)} =\frac{13}{sin(98)}[/tex]
[tex]\frac{f}{0.4540} =\frac{13}{0.9903}[/tex]
[tex]f=\frac{13 \times 0.4540}{0.9903}[/tex]
f = 5.9598
f ≅ 6.0
Hence, the value of f is 6.0
Learn more on Law of sines here: https://brainly.com/question/19149891
#SPJ1
In the figure, AB is divided into equal parts. The coordinates of point A are (2, 4), and the coordinates of point B are (10, 6). Match each pair of coordinates to the corresponding point on AB.
Diving the length AB into equal parts gives;
[tex]D→\left (4 \:,4.5\right) [/tex]
[tex]E→\left (5 \:,4.75\right) [/tex]
[tex]H→\left (8 \:,5.5\right) [/tex]
[tex]I →\left (9 \:,5.75\right) [/tex]
How can the coordinates of the points be found?The number of equal parts obtained by counting are 8
Coordinates of point A is (2, 4)
Coordinates of point B is (10, 6)
Therefore;
Coordinates of point C is
[tex]\mathbf{ \left (2 + \frac{10 - 2}{8},\: 4 + \frac{6 - 4}{8}\right) }= \left (3 \:, 4.25\right) [/tex]
Coordinates of point D are;
[tex]\mathbf{\left (2 + \frac{10 - 2}{4} \: , 4 + \frac{6 - 4}{4}\right) }= \left (4 \:,4.5\right) [/tex]
Coordinates of point E are;
[tex]\mathbf{\left (2 + \frac{8 \times 3}{8} \: , 4 + \frac{2 \times 3}{8}\right)} = \left (5 \:,4.75\right) [/tex]
Coordinates of point F are;
[tex] \mathbf{\left (2 + \frac{8 \times 4}{8} \: , 4 + \frac{2 \times 4}{8}\right)} = \left (6 \:,5\right) [/tex]
Coordinates of point H are;
[tex]\mathbf{\left (2 + \frac{8 \times 6}{8} \: , 4 + \frac{2 \times 6}{8}\right)} = \left (8 \:,5.5\right) [/tex]
Coordinates of point I are;
[tex]\mathbf{\left (2 + \frac{8 \times 7}{8} \: , 4 + \frac{2 \times 7}{8}\right)} = \left (9 \:,5.75\right) [/tex]
Which gives;
[tex]D→\left (4 \:,4.5\right) [/tex]
[tex]E→\left (5 \:,4.75\right) [/tex]
[tex]H→\left (8 \:,5.5\right) [/tex]
[tex]I →\left (9 \:,5.75\right) [/tex]
Learn more about distance between points here;
https://brainly.com/question/10377723
#SPJ1
I am not able to solve this question
From both percentages, you can see that 0.735 is less than 3/4, hence the expression that 0.735 > 3/4 is FALSE
Fraction and percentagesThe number given are in form of fractions and decimals. In order to determine which is true, we will convert the decimals and fractions to percentages.
For option B
0.735 = 0.735 * 100
0.735 = 73.5%
For the fraction 3/4
3/4 * 100 = 75%
From both percentages, you can see that 0.735 is less than 3/4, hence the expression that 0.735 > 3/4 is FALSE
Learn more on fraction and decimal here; https://brainly.com/question/703656
#SPJ1
-8-3k
2
= 11
How do I do this problem?
Answer:
k = - 3 1/6
Step-by-step explanation:
-8-3k(2)=11
-8-6k = 11
8 - 8 - 6k = 11 + 8
-6k = 19
-6k/-6 = 19/-6
k = -3.16667
k = -3 1/6
9. What is the slope of a line that is parallel to the line shown?
yy
(-3, 2)
(0,-2)
Answer:
the slope of a line is parallel to the line is (3,-2)
(0,2)
Alyssa's favorite tennis team has 8 players on them. She has taken a picture with every single athlete individually and wants to post some of the pictures on her wall. But she only wants to post 3 pictures on her wall. How many different sets of pictures can she post on her wall
56 sets of pictures she can post on her wall
It is given that alyssa's favorite tennis team has 8 players on them. She has taken a picture with every single athlete individually and wants to post some of the pictures on her wall. But she only wants to post 3 pictures on her wall.
For this we hve to use factorials. In mathematics, the factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. The factorial of n also equals the product of n with the next smaller factorial: For example, The value of 0! is 1, according to the convention for an empty product.
So it will be - [tex]\frac{8!}{3!(8-3)!}[/tex] as this is the formula for combination
This will be 56.
Thus, 56 sets of pictures she can post on her wall
A card is picked at random from a standard deck of cards. what is the sample space for this experiment if you were trying to find p(face card)? a. sample space = 12 b. sample space = startfraction 3 over 13 endfraction c. sample space = startfraction 12 over 52 endfraction d. sample space = 52
The sample space neeeded for the experiment to find the face cards is 52.
Given there is a standard deck of cards.
We have to finf the sample space needed for the experiment of finding the probability of face cards.
Probability is the chance of happening an event among all the events that are possible. It lies between 0 and 1. The probability is the number of items divided by the total items.
Sample is a part of population. It is studied when the study of whole population is difficult to do.
Cards in a deck=52
Number of face cards is 12.
When we draw a card from the deck then it might be a face card or not. So we have to draw all the cards of a standard deck because it might possible that face card is present at the end of deck.
Hence the sample size needed in the experiment is 52.
Learn more about sample at https://brainly.com/question/24466382
#SPJ4
Which of the following represents a function?
Please help
Answer:
(2,3),(4,3),(-2,-3),(-4,-3)
Step-by-step explanation:
A function is defined as a relation in which each domain element (x-value) is paired with exactly one range element (y-value).
This means that each value we input for x must have only one possible output. If the same x-value yields more than one y-value, it is not a function.
The correct answer, as shown above, meets the criteria of a function, as each x-value is shown to produce exactly one y-value. In this set of ordered pairs, if x = 2, then y = 3, and if x = -2, then x = -3.
A set of ordered pairs is not a function if there are ordered pairs with the same x-values but different y-values.
In the other sets of ordered pairs, one x-value has more than one possible y-value. Let's use the last set as an example:
(5,1),(5,2),(5,3),(5,4)
Inputting 5 as x produces four different y values; there is no one y value for the x-value. y could equal 1, 2, 3, or 4.
How many triangles can be formed
from two given angle measures and
the length of their included side?
None
One
Two
Infinite number
Answer:
B. One
Step-by-step explanation:
Since the two angles are already given, the value of the third angle is already fixed. The third angle can be found by the sum of both angles subtracted from 180. Since 2 angles and lengths are already given, there can only be 1 triangle.
Hope this helps!
If not, I am sorry.
On dividing x^3-3x^2+x+2 by a polynomial g(x), the quotient and remainder were x- 2 and "-2x+1" respectively, then g(x) is equal to
Answer:
refer to the above attachment
How do you write 0.000003939 in scientific notation?
A triangle can be formed having side lengths $4,$ $5,$ and $8.$ It is impossible, however, to construct a triangle with side lengths $4,$ $5,$ and $10.$ Using the side lengths $2,$ $3,$ $5,$ $7,$ and $11,$ how many different triangles with exactly two equal sides can be formed
14 triangles with exactly two equal sides can be formed
The triangles will be isosceles as there have to be 2 equal sides.
The possible triangles are :
2 2 3 3 3 2 5 5 2 7 7 2 11 11 2
3 3 5 5 5 3 7 7 3 11 11 3
5 5 7 7 7 5 11 11 5
7 7 11 11 11 7
So 14 triangles are possible
To know more about triangles visit: https://brainly.com/question/1058720
#SPJ4
Solve the following system of equations using substitution
2x + 3y = 3
x – 2y = 5
The solution to the equations 2x + 3y = 3, x – 2y = 5 using substitution method is y = -1 and x = 3 respectively.
Simultaneous equation2x + 3y = 3
x – 2y = 5
from equation (2)
x = 5 + 2y
Substitute x = 5 + 2y into equation (1)
2x + 3y = 3
2(5 + 2y) + 3y = 3
10 + 4y + 3y = 3
10 + 7y = 3
7y = 3 - 10
7y = -7
y = -7/7
y = -1
Substitute y = -1 into (2)
x – 2y = 5
x - 2(-1) = 5
x + 2 = 5
x = 5 - 2
x = 3
Learn more about simultaneous equation:
https://brainly.com/question/16863577
#SPJ1
Question 27 Mike is remodeling his kitchen. The countertop he wants costs $2.80 per square foot. How much will Mike have to spend on his remodeling project
Answer: $67.20
Step-by-step explanation: i got it right
Mike has to spend $67.20 on his remodeling project.
Explanation:
6 ft = (4 + x) ft
4+x = 6
x = 6-4 = 2
Area 1:
S1 = 2 × (4+2)
= 2 × 6
= 12 ft²
Area 2:
S2 = 2 × (4+2)
= 2 × 6
= 12 ft²
The area of his kitchen is S1 + S2 = 12 + 12 = 24ft²
= 24 × 2.80
= $67.20
The image is given below for the area of the house.
What is an example of a word problem?Word problems normally include mathematical modeling questions, in which data and facts approximately a sure machine is given and a scholar is required to increase a model. as an instance: Jane had $five.00, then spent $2.00. How tons does she have now?
Learn more about Word Problems here https://brainly.com/question/13818690
#SPJ2
please help with this problem asap?!
Answer:
x=7/9
Step-by-step explanation:
- Rewrite as x = 0.77777
- Setup another equation:
10x = 7.7777
x = 0.7777
- Substract and get to :
9x = 7
- Finally, solve for X
x = 7/9
Find the x to the nearest tenth using this picture.
Answer:
21.1
Step-by-step explanation:
sin 49 = x / 28
0.75470958 = x/28
x = 21.1
Answer:
x=18.4
y=35
Step-by-step explanation:
So to solve for x, you're going to use one of the six trigonometric functions (you really only need to use the three main ones, sin, cos, and tan, to solve these problems). In this case you know the adjacent of the angle 49 degrees, and the hypotenuse. There is a trigonometric function which is defined as: [tex]\frac{adjacent}{hypotenuse}=cos(\theta)[/tex]. So let's plug in the known values:
[tex]cos(49) = \frac{x}{28}[/tex]
Multiply both sides by 28
[tex]cos(49) * 28 = x\\[/tex]
Calculate cos(49) using a calculator (make sure it's in degree mode):
[tex]0.656 * 28 \approx x[/tex]
[tex]18.4 \approx x[/tex]
So the second problem, you need to use the inverse of one of the trigonometric function, which essentially takes what f(x) is, and returns x. So in this case we're looking for a trigonometric function that is defined using the opposite and adjacent side, which tan is. [tex]tan(\theta)=\frac{opposite}{adajcent}[/tex]. In this case opposite=19, and adjacent=27. So plug in the known values:
[tex]tan(y)=\frac{19}{27}[/tex]
Apply the inverse of tan to both sides
[tex]y=tan^{-1}(\frac{19}{27})[/tex]
Calculate inverse of tan of 19/27 using a calculator:
[tex]y\approx35[/tex]
The two toy store owners agree to specialize and to trade 30 puzzles for 10 puppets. The terms of trade are still 3 puzzles for each puppet. How many puzzles and puppets will each one have after they complete their trade
After completing their trade, Store Owner A has 0 puzzles and 10 puppets, and Store Owner B has 30 puzzles and 0 puppets.
Here,
Let's assume the two toy store owners are Store Owner A and Store Owner B.
Before the trade, Store Owner A has 30 puzzles and 0 puppets, and Store Owner B has 0 puzzles and 10 puppets.
They agree to trade 30 puzzles for 10 puppets at a rate of 3 puzzles for each puppet.
So, for every 3 puzzles, Store Owner A will receive 1 puppet.
Store Owner A gives away 30 puzzles and receives 30 / 3 = 10 puppets.
After the trade, Store Owner A has 0 puzzles and 10 puppets.
Store Owner B gives away 10 puppets and receives 10 * 3 = 30 puzzles.
After the trade, Store Owner B has 30 puzzles and 0 puppets.
So, after completing their trade, Store Owner A has 0 puzzles and 10 puppets, and Store Owner B has 30 puzzles and 0 puppets.
To learn more on division click:
brainly.com/question/21416852
#SPJ4
If P = (-3,-2) and Q = (1, 6) are the endpoints of the diameter of a circle, find the equation of the circle.
(x +?)^2 + (y - ?)^2 = ?
Answer:
(x+1)²+(y-2)²= 20
Step-by-step explanation:
P = (-3,-2)
Q = (1, 6)
Center (h, k)
C = ((-3+1)/2 , (-2+6)/2)
C = (-2/2 , 4/2)
C = (-1 , 2)
Radius = Distance from the center to point Q
R = √((1-(-1))² + (6-(2))²)
R = √((2)² + (4)²)
R = √(4+ 16)
R = √20
Equation
(x-h)²+(y-k)²= R²
(x-(-1))²+(y-2)²= (√20)²
(x+1)²+(y-2)²= 20
Find an equation of rational function that has vertical asymptotes at x = 3 and x =
-5, horizontal asymptote at y = 0, and y intercept of 1.
The rational function that meets all the conditions is:
[tex]f(x) = \frac{-15}{(x - 3)*(x + 5)}[/tex]
How to find the rational function?
A rational function is of the form:
[tex]f(x) = \frac{p(x)}{q(x)}[/tex]
As the horizontal asymptote is at y = 0, we know that the numerator can't depend on x, so it is just a constant.
p(x) = a
And we want to have two vertical asymptotes at x = 3 and x = -5, then q(x) becomes zero at these values, so we have:
q(x) = (x -3)*(x + 5)
At this point, the function is:
[tex]f(x) = \frac{a}{(x - 3)*(x + 5)}[/tex]
Finally, we know that the y-intercept is 1, then we need to solve:
[tex]f(0) = 1 = \frac{a}{(0 - 3)*(0 +5)} = \frac{a}{-15} \\\\-15 = a[/tex]
Then we conclude that our function is:
[tex]f(x) = \frac{-15}{(x - 3)*(x + 5)}[/tex]
If you want to learn more about rational functions:
https://brainly.com/question/1851758
#SPJ1
The chance that two people have four repeats in location A is 1 in 100. The chance that two people have eight repeats in location B is 1 in 50. The probability that two people have three repeats in location C is 1 in 200. What is the probability that two people would have matching DNA fingerprints for these three locations by chance
The chances that two people would have matching DNA fingerprints for these three locations is 1/1,000,000
According to statement
In location A the chance that two people have four repeats is 1 in 100.
In location B the chance that two people have eight repeats is 1 in 50.
In location C the chance that two people have three repeats is 1 in 200.
So, to find the probability that two people would have matching DNA fingerprints for these three locations
Multiply the all chances in these locations:
1/100 x 1/50 x 1/200 = 1/1,000,000
So, The chances that two people would have matching DNA fingerprints for these three locations is 1/1,000,000
Learn more about PROBABILITY here https://brainly.com/question/24756209
#SPJ4
Solve: 4 x 11 + 5 x 28 + 4
Answer:
188
Step-by-step explanation:
1 - Multiply the numbers
4 * 11 * 5 * 28 + 4
44 + 5 * 28 + 4
2 - Multiply the numbers
44 + 5 * 28 + 4
44 + 140 + 4
3 - Add the numbers
44 + 140 + 4
188
ANSWER: >> 188
ken needs to order 8 new uniform for the soccer team. Each uniform cost $14 and a pair of shorts. The cost of the shorts, c is unknown. 2 equivalent expressions for the cost of 8 uniforms
The equivalent expressions for the costs are 8 * (14 + c) and 112 + 8c
How to determine the total cost?The given parameters are:
Number of uniform = 8
Cost of each = $14
The cost of the uniforms and the shorts is then calculated as:
Cost = Number of uniforms * (Cost of uniform + Cost of short)
This gives
Cost= 8 * (14 + c)
Expand
Cost = 112 + 8c
Hence, the equivalent expressions for the costs are 8 * (14 + c) and 112 + 8c
Read more about equivalent expressions at:
https://brainly.com/question/2972832
#SPJ1