algebra applications: find the value of x and y
Answer : The value of x and y is 8 and 10 respectively.
Step-by-step explanation :
As we known that if two parallel lines are cut by a transversal line then consecutive interior angles are supplementary.
From the given figure we conclude that:
[tex]5x-y+150=180[/tex] ...........(1)
[tex]5x-y=180-150[/tex]
[tex]5x-y=30[/tex] ............(2)
[tex]5x+y+130=180[/tex] ...........(3)
[tex]5x+y=180-130[/tex]
[tex]5x+y=50[/tex] ...........(4)
Now we adding equation 2 and 4, we get the value of x.
[tex]5x-y+5x+y=30+50[/tex]
[tex]10x=80[/tex]
[tex]x=8[/tex]
Now we are putting the value of x in 4, we get the value of y.
[tex]5x+y=50[/tex]
[tex]5(8)+y=50[/tex]
[tex]y=50-40[/tex]
[tex]y=10[/tex]
Therefore, the value of x and y is 8 and 10 respectively.
If two right triangles each have a 30° angle, then the
triangles must be
a equilateral
b.similar
C. obtuse
D. congruency
Answer:
b. Similar
Step-by-step explanation:
Although angles are congruent the triangles are not as sides need to be the same too. Both shapes have 90 degree and 30 degree and add up to 180 degree in each triangle. Therefore each shapes angles are congruent but we dont know there size or scale, so they are similar. if they are the same (shape and size)- in other words, if the lengths of the sides and the angles are the same. So they are similar.
Because the angles are congruent and sizes are not shown they must be similar.
They cannot be obtuse as no angle is larger than 90 degrees and to be obtuse it would have to be larger than 90 deg and lower than 180 deg.
They cannot be equilateral as that means it couldn't be 30 degree and a right angle as equilateral means same angle sizes within 'one' triangle or for every or each triangle; as we know all triangles that are equilateral are 60, 60, 60 degrees to add up to 180 degree and cannot be an equilateral for this reason too as we have right angle triangles and equilateral are not right angles due to being 60 degree angle measures.
They are not fully congruent as we do not know there side measures so they have to be similar.
Answer:
B
Step-by-step explanation:
Two triangles are similar when they share at least two angles and the only difference is size.
CO
Table A shows the Fahrenheit temperatures for select Celsius temperatures. Table B shows the Celsius
temperatures for select Fahrenheit temperatures.
Table A
Table B
с
-10
0
10
20
30
F
14
32
50
68
86
F
14
32
50
68
86
C
-10
0
10
20
30
The tables show that the two functions are
ordered pair
✓ for the other function
because the ordered pair (x, y) for one function is the
A Intro
Answer:
it's is a
because the law states
Answer:
First 1 is Inverse and the second one is y=x
please help and answer this for me
Answer:
Subtract 58 from both sides
Step-by-step explanation:
h(x)= 1/8x^3-x^2 Over which interval does h have a positive average rate of change ?
Answer:
6<x<8? I think this is the answer. I am not sure so please do not rely on me. I am not the smartest!
Step-by-step explanation:
the sum of two numbers is 90 .the larger number is 14 more than 3 times the smaller number.
Answer:
The numbers are 19 and 71.
Step-by-step explanation:
Let x and y represent the two numbers. Then x + y = 90.
Also, if we assume that the larger number is y, then y = 3x + 14.
We must solve this system of linear equations. Since we already have the result of solution for y (y = 3x + 14), let's use the substitution method to find the solution:
x + y = 90 becomes x + 3x + 14 = 90, or:
4x = 76. Thus, x = 76/4, or 19. If x = 19, then y = 3(19) + 14, or y = 71.
The numbers are 19 and 71.
Note that these add up to 90, as they must, and that 71 is 14 more than 3 times 19.
Please help with this
Answer:
D) reflection across the origin
Step-by-step explanation:
681/4 i dont know this
The right answer is 170.25
please see the attached picture for full solution
hope it helps
Good luck on your assignment
PLEASE HELP ME !!!!!!!!
Answer:
54
Step-by-step explanation:
90-36=54
Answer:
Angle X is 90-36 = 54 degrees
How are the following three expressions different from each other, if indeed they are? do not just state the value of each but explain what may be the same or different. Be as specific as you can be in your response.
1.(-2)^2
2.-2^2
3. -(2)^2
Answer:
Below.
Step-by-step explanation:
Number is different to the other 2. Its value is +4 because negative 2 squared = + 4.
The other 2 have negative values and -2 = -(2) so they have the same value, -4.
help i still dont understand
Answer:
1. c
2. a
3. d
4. b
Step-by-step explanation:
For 1, use parchment paper for rotating it around the origin.
For 2, just make the y value positive.
For 3, add 13 to the y value.
For 4, use process of elimination with the answer choices.
(I know right, horrible explanation but you wanted the answers right?)
Solve: 2 ln 3 = ln(x - 4) x = 9 x = 10 x = 13
Solve: 2 ln 3 = ln(x - 4)
a)x = 9
b)x = 10
c)x = 13
Answer:
x = 13
Step-by-step explanation:
To solve the problem above, we will follow the steps below;
2 ln 3 = ln(x - 4)
[using logarithm rule aInb = Inbᵃ]
so also our equation becomes
In 3² = In (x-4)
The In at the left-hand side of the equation will cancel-out the In at the right-hand side of the equation
Our equation becomes;
3² = x- 4
9 = x-4
add 4 to both-side of the equation in other to make x subject of the equation
9 + 4 = x-4 + 4
13 = x
x = 13
Answer:
C on Edge x = 13 x =
-4 and x = 4
the solution is x = 4
Step-by-step explanation:
I just did the assignment on edge.
Minnie wants to know if the number of words on a page in her planetary science book is generally more than the number of words on a page in her math book. She takes a random sample of 25 pages in each book, then calculates the mean, median, and mean absolute deviation for the 25 samples of each book. Mean Median Mean Absolute Deviation Planetary science 48.9 41 9.2 Math 34.5 44 1.9 She claims that because the mean number of words on each page in the planetary science book is greater than the mean number of words on each page in the math book, the planetary science book has more words per page. Based on the data, is this a valid inference? No, because there is a lot of variability in the planetary science book data. Yes, because there is a lot of variability in the planetary science book data. Yes, because the mean is larger in the planetary science book. No, because the mean is larger in the planetary science book.
Answer:
I think it is
No, because there is a lot of variability in the geography book data
hope this helps
-lvr
No, Minnie is incorrect, because there is a lot of variability in the Planetary science book data.
Is this a valid inference?We know that, for 25 samples of each book, we have:
Book mean median MAD
Planetary science 48.9 41 9.2
Math 34.5 44 1.9
The claim, is that "the Planetary science book as more words per page"
Notice that even if we subtract the mean standard deviation from the mean in the Planetary science case:
48.9 - 9.2 = 39.7
And we add these in the math case:
34.5 + 1.9 = 36.4
So, even considering the variability, the Planetary science book has more words per page.
The value in the Planetary science case is still larger, so, only with this, we conclude that her claim is not valid.
If you want to learn more about means;
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Which expression is equivalent to x^2-10x+24
Answer:
(x-4)(x-6)
Step-by-step explanation:
By factorization, x^2-10x+24 can be written in the form (x-4)(x-6). Thus the roots of the quadratic equation are x= 4 and 6 respectively.
Mr. Hammar is painting his house. He uses a 16 foot extension ladder to reach the top peak of the house. The ladder is positioned 5 feet away from the house. How far up the house does the ladder reach? Round your answer to the nearest tenth.
Step-by-step explanation:
For every 4 feet that the ladder rises, the bottom of the ladder should be 1 foot away from the wall. If you are going to climb onto a roof, the ladder should extend 3 feet higher than the roof. Also, the upper and lower sections of an extension ladder should overlap to provide stability
A paper manufacturer packages twelve reams of paper in a box—in three stacks of four reams. A ream of paper weighs 5 pounds and has dimensions of 8.5 inches by 11 inches by 2 inches. Identify three unique ways to package the paper given the new weight condition. Include both the dimensions of the new boxes, as well as a verbal description of how the reams will be packaged. You may include sketches if you wish. I need three ways
Answer:
The three ways are;
1) Two stacks of six reams
2) Four stacks of three reams
3) Four stacks of three reams arranged two by two
Step-by-step explanation:
The parameters given are;
Dimensions of one ream of paper = 8.5 in. by 11 in. by 2 in.
The number of reams of paper = 12
The three unique ways are;
1) Two stacks of six reams
Box dimension = 6 × 2 in. by 2 × 8.5 in. by 11 in. = 12 in. by 17 in. by 11 in.
Box dimension of new box = 12 in. by 17 in. by 11 in.
2) Four stacks of three reams
Box dimension = 3 × 2 in. by 4 × 8.5 in. by 11 in. = 6 in. by 34 in. by 11 in.
Box dimension of new box = 6 in. by 34 in. by 11 in.
3) Four stacks of three reams arranged two by two
Box dimension = 3 × 2 in. by 2 × 8.5 in. by 2 × 11 in. = 6 in. by 17 in. by 22 in.
Box dimension of new box = 6 in. by 17 in. by 22 in.
Please Help!!! What is the slope of the line in the graph!!! Braniest will be given!!!
Answer:
m= 1/2
Step-by-step explanation:
Not sure if this is right but I hope this helps :)
Answer:
1/4
Step-by-step explanation:
We can see that two points on the line are (0, 4) and (4, 5). Using the slope formula (y₂ - y₁) / (x₂ - x₁) we get (5 - 4) / (4 - 0) = 1/4.
which set of points contains the solutions to the inequality y < -2/3x - 13/3?
Answer:
D
Step-by-step explanation:
Hi All,
I have some Maths Questions for you all to have a look at.
Please answer - I am giving 20 points!
I will mark Brainliest as well.
Take care,
Jake
Answer: i hope this is correct take care
Step-by-step explanation:
Pls Need Help!
Triangle Q S R. Angle Q is 98 degrees and angle R is 37.6 degrees. Triangle T U V. Angle U is 98 degrees and angle V is 37.6 degrees.
Which statement is not true about these triangles?
A. ∠Q ≅ ∠T based on the third angle theorem.
B. ∠S corresponds to ∠V.
C. ∆QRS ~ ∆TVU based on the angle-angle criterion.
D. ∆RQS ~ ∆VTU based on the angle-angle criterion.
Answer: ∠S corresponds to ∠V.
The solution is Option B.
The measure of angle ∠S corresponds to ∠V
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the first triangle be ΔQSR
Let the second triangle be ΔTUV
Now , the measure of ∠Q = 98°
The measure of ∠R = 37.6°
The measure of ∠U = 98°
The measure of ∠V = 37.6°
So , the measure of the third side of the triangles is
The measure of ∠S = measure of ∠T = 180 - ( 98 + 37.6 )
The measure of ∠S = measure of ∠T = 44.4°
And , ∆QRS ~ ∆TVU based on the angle-angle criterion
So , ∠Q ≅ ∠T based on the third angle theorem
And , ∆RQS ~ ∆VTU based on the angle-angle criterion
Hence , the false statement is ∠S corresponds to ∠V.
To learn more about triangles click :
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Find the product of (x − 5)2. (1 point)
Answer:
x² - 10x + 25
Step-by-step explanation:
Given
(x - 5)² = (x - 5)(x - 5)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 5) - 5(x - 5) ← distribute both parenthesis
= x² - 5x - 5x + 25 ← collect like terms
= x² - 10x + 25
what is 12000 mutiplyed by 180000
Answer:
The Answer is 2160000000
Answer:2160000000
Step-by-step explanation:
Which of the following is an offer? Select one: a. Hedva walks into the Ferrari Dealership and says, “I am going to buy a car.” b. Lucy says to Zehmer “I bet you wouldn’t sell this house for $50,000.” c. "This car isn't worth what you're charging. d. Bruo says, “I will pay $25 for this book.”
Answer:
D, "I will pay $25 for this book."
Step-by-step explanation
True of False: The graph of a rational function R never intersects a vertical asymptote. True or False: The graph of a rational function R never intersects a horizontal asymptote. True or False: The graph of a rational function R never intersects an oblique asymptote.
Answer:
All true
Step-by-step explanation:
By definition, an asymptote is a line at which the values of the function approach but never reach as one or both of the x or y coordinates tends to positive or negative infinity. Therefore, the graph of a rational function R never intersects any of its asymptotes.
I need help please thanks
Answer:
1/6
Step-by-step explanation:
How many times larger is 5 × 10 to the power of 6 than 5 × 10 to the power of 2?
Answer:
10,000
Step-by-step explanation:
The bases of the scientific notation are the same, so the answer must be a base of 10. So you just divide [tex]10^{6}[/tex] and [tex]10^{2}[/tex], you should get [tex]10^{4}[/tex], which is equal to 10,000.
PLEASE HELP!!! 100 POINTS!!!!!!!
Potatoes cost $0.85 per pound. Luke bought 2.75 pounds of potatoes. How much did he pay for the potatoes. Round your answer to the nearest dollar.
He paid $ for the potatoes.
Answer:
Um
Step-by-step explanation:
Help Idk the way to do it
Answer:
x=3
Step-by-step explanation:
If the triangles are congruent
13 = 4x+1
subtract 1 from each side
13-1 = 4x+1-1
12=4x
Divide by 4
12/4 = 4x/4
3=x
Answer:
3
Step-by-step explanation:
If the two triangles are congruent then:
13=4x+1
13-1=4x+1-1
12=4x
x=3
Hope this helps!
One polygon has a side of length 2 feet. A similar polygon has a corresponding side of length 4 feet. The ratio of the
perimeter of the smaller polygon to the larger is 2/1 or 1/2 or 1/4
please need help I will be MARKING as BRIANILIST. thank you so much.
12.167(option D)
Solution,
[tex]side \: length(s) = 2.3 \\ volume = {s}^{3} \\ \: \: \: \: \: \: \: \: \: \: = {(2.3)}^{3} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: = 2.3 \times 2.3 \times 2.3 \\ \: \: \: \: \: \: \: \: = 12.167 \: {cm}^{3} \\ [/tex]
hope it helps...
Good luck on your assignment....
Answer:C.8.027
Step-by-step
V = s[tex]^{3}[/tex]
The rate of change is found using the first derivative of this function. This is often called the gradient function, because it gives the gradient of a tangent line drawn at the specified point.
[tex]\frac{dV}{ds}[/tex](s[tex]^{3}[/tex]) =3s[tex]^{2}[/tex]We now plug in s =6
3s[tex]^{2}[/tex] = 3(6)[tex]^{2}[/tex] = 8.027[tex]\frac{cm3}{s}[/tex]