Two similar triangles are shown below:
a
6
8
2
3
b
4
Which two sets of angles are corresponding angles?
O
O
O
O
Answers
Answer:
<a and <d; <b and <c.
Step-by-step explanation:
When two triangles are said to be similar, the ratio of the corresponding sides of both triangles is always the same, also, their corresponding angles are congruent. That is, they are equal.
The 2 set of angles that are corresponding angles of the two similar triangles given in the question above are:
<a and <d; <b and <c.
Both set of angles are congruent to each other. In other words, they are equal.
Related Questions
Which number is a factor of 51?
Answers
factors of 51 are 1, 3, 17, 51
Answer:
1 × 51 = 51
3 × 17 = 51
_________
1, 51, 3, 17 are all factors of 51!
51 is composite.
Factor 10x2 − 17x + 3.
Answers
Answer:
(2x-3)(5x-1)Solution,
[tex]10 {x}^{2} - 17x + 3 \\ = 10 {x}^{2} - (15 + 2) x+ 3 \\ = 10 {x}^{2} - 15x - 2x + 3 \\ = 5x(2x - 3) - 1(2x - 3) \\ = (2x - 3)(5x - 1)[/tex]
Hope this helps..
Good luck on your assignment...
he price of a computer was decreased by 20% to £136.
What was the price before the decrease?
Answers
Answer:
The original price is 170
Step-by-step explanation:
Let x be the original price
x* .20 is the decrease
x - .20x = new price
.80x = new price
.8x = 136
Divide each side by .8
.8x/.8 = 136/.8
x =170
The full price is represented by 100%. If this computer was decreased by 20%, so it worth 80% now.
So, we can make a rule of three: 80% value is equals to 136, how much is 100%?
80% ------------ 136
100% ----------- x
Let's multiply "making a x":
[tex]80x = 136\cdot 100\\80x = 13.600\\x = \frac{13600}{80} \\x = 170[/tex]
Therefore, the price before the decrease was £170.
What is the slope of the line that goes through the points (1, -5) and (4, 1)
Answers
Answer:
D) 2
Step-by-step explanation:
Use the following slope formula:
m (slope) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (4 , 1)
(x₂ , y₂) = (1 , -5)
Plug in the corresponding numbers to the corresponding variables:
m = (-5 - 1)/(1 - 4)
Simplify. Remember to follow PEMDAS. First subtract, then divide:
m = (-5 - 1)/(1 - 4)
m = (-6)/(-3)
m = 2
D) 2 is your answer.
~
help plz. I will give brainliest (:
Answers
Answer:
f(2)=g(0) and f(0)=g(4)
3rd option for the second pic
Using the segment addition postulate, which is true? A number line going from negative 9 to positive 9. A closed circle appears at negative 6 and is labeled A. A closed circle appears at negative 1 and is labeled B. A closed circle appears at positive 2 and is labeled C. A closed circle appears at positive 8 and is labeled D.
Answers
Answer:
The answer is given below
Step-by-step explanation:
The addition postulate for line segment states that if we have points A, C and a point B on line AC, The distance between points A and C can be given as:
AC = AB + BC
Point A is at -6, point B is at -1, point C is at +2 and point D is at point 8.
Therefore using line segment postulates:
AD = AB + BC + CD
But AB = -1 - (-6)= -1 + 6 = 5
BC = 2- (-1) = 2 +1 = 3
CD = 8 - (+2) = 8 - 2 = 6
Also AD = 8 - (-6) = 8 + 6 = 14
To prove AD = AB + BC + CD
AD = 5 + 3 + 6 = 14
Pls help me with trig! i would rlly appreciate
Answers
Answer:
c≤
Step-by-step explanation:
hypotenuse=√(a²+b²)=√(5²+6²)=√(25+36)=√61
cosθ=5/√61=5/√61× (√61/√61)=5√61/61
Answer:
[tex]6 \sqrt{61} \div 61[/tex]
is ans
Step-by-step explanation:
given, a=5 and b=6
as the refrence angle is thit
p=6 and b= 5
[tex]now \: h \: = \sqrt{p {}^{2} + b {}^{2} } [/tex]
[tex] = \sqrt{6 { }^{2} + 5 {}^{2} } [/tex]
[tex] \sqrt{61} = [/tex]
therefore h
[tex] = \sqrt{61} [/tex]
now cos thita =b/h
therefore cos thita=
[tex]6 \sqrt{61} \div 61[/tex]
...is ans..
Using factor theorem, factorise x⁴-x³-7x²+x+6
Answers
Answer:
Add and subtract the second term to the expression and factor by grouping .
(x-1)(x+1)(x-3)(x+2)
Answer:
(x-1)(x-3)(x+1)(x+2)
Step-by-step explanation:
x⁴-x³-7x²+x+6=
x⁴-x³-x²+x -6x²+6=
x³(x-1)-x(x-1)-6(x²-1)=
x³(x-1)-x(x-1)-6(x-1)(x+1)=
(x-1)(x³-x-6x-6)=
(x-1)(x³-3x²+3x²-9x+2x-6)=
(x-1)(x-3)(x²+3x+2)=
(x-1)(x-3)(x²+x+2x+2)=
(x-1)(x-3)(x+1)(x+2)
Roger’s father knows that Dial It Up sells data plans at $16 for 2 gigabytes and Ring Ring sells data plans at $9 for 1 gigabyte. Use this information to calculate the ratio of the number of gigabytes to the price in dollars for Dial It Up and Ring Ring.
Answers
Answer:
From Dial it, we have plans of $16 per 2 gb.
then the ratio is (number of gb you get):price
in this case:
2:16 or we can reduce it to 1:8
this means that per each Gigabyte, you pay 8 dollars. 1:8
Ring Ring has plans of $9 per 1gb
then the ratio of gb to Dollars is 1:9
And the ratio between the prices of the companies is: 8 to 9 or 8:9
which means that in one company you get one thing for 8, while in the other company you get the same thing for 9.
Answer:
Dial it Up charges $32 for 4 gigabytes, and Ring Ring charges $36 for the same amount of data. The difference of the plan prices is $36 – $32 = $4.
There are only green pens and red pens in the box.There are three more red pens than green pens in the box.Sheila is going to take at random two pens from the box.The probability that sheila will take two pens of the same colour is 17/35.Work out the two different numbers of green pens that could be in the box.
Answers
Answer:
6 or 9
Step-by-step explanation:
Let the number of green pens =x
There are three more red pens, therefore:
The number of red pens =x+3
Total Number of pens =x+x+3=2x+3
The probability that sheila will take two pens of the same color = [tex]\frac{17}{35}[/tex]
Therefore, we have that:
[tex]\text{P(two red pens)}=\dfrac{x+3}{2x+3} \times \dfrac{x+2}{2x+2}\\\\P(RR)=\dfrac{(x+3)(x+2)}{(2x+3)(2x+2)}[/tex]
[tex]P$(two green pens$)=\dfrac{x}{2x+3} \times \dfrac{x-1}{2x+2}\\\\P(GG)=\dfrac{x(x-1)}{(2x+3)(2x+2)}[/tex]
Therefore, the probability that sheila will take two pens of the same color
=P(RR)+P(GG)
[tex]\dfrac{(x+3)(x+2)}{(2x+3)(2x+2)}+\dfrac{x(x-1)}{(2x+3)(2x+2)}=\dfrac{17}{35}\\\dfrac{(x+3)(x+2)+x(x-1)}{(2x+3)(2x+2)}=\dfrac{17}{35}\\[/tex]
Cross multiply
[tex]35[(x+3)(x+2)+x(x-1)]=17[(2x+3)(2x+2)]\\35[x^2+3x+2x+6+x^2-x]=17[4x^2+4x+6x+6]\\35[2x^2+4x+6]=17[4x^2+10x+6]\\70x^2+140x+210=68x^2+170x+102\\70x^2-68x^2+140x-170x+210-102=0\\2x^2-30x+108=0[/tex]
Factorizing, we have:
[tex]2(x-6)(x-9)=0\\x-6=0$ or $x-9=0\\x=6$ or 9[/tex]
Therefore, the two different numbers of green pens that could be in the box are 6 or 9.
Solve the system of equations. x+y=2 and y=-1/4x²+3
Answers
Answer:
2 solutions:
(-2.899, 0.899) and (6.899, -8.899)
Step-by-step explanation:
x+y=2
y=-x+2
y=1/4x²+3
Graph both equations into graphing calculator
Graph in attachment shows solutions
Problemas de algoritmo a, um buso se encuentra a 12m bajo el nivel del mar ,si sube 3 m ,cual sera su nueva posicion ,rrepresenta numeros enteros,positivo y negativo
Answers
Answer:
9 metros bajo el nivel del mar
Step-by-step explanation:
Aquí, tenemos un autobús que está a 12 metros bajo el nivel del mar.
Ahora, el autobús ganó algo de altura y subió 3 metros hacia arriba Debemos entender que el autobús todavía está bajo el nivel del mar pero a un nivel más alto en relación con el fondo del mar.
Por lo tanto, la altura del autobús sería + 3 + (-12) = 3-12 = -9 Esto muestra que el autobús todavía está a 9 metros bajo el nivel del mar.
What percent of discount should be given in a doll costing Rs 180
such that a customer can buy at Rs 160?
Answers
Answer:
11.11%
Step-by-step explanation:
So the question is:
$180 * (x)% = $y
Therefore $180 - $y = $160
Now:
180 - 160 = 20
Therefore; $20 is the discount
Now per cent of discount:
20/180 * 100 = 11.111111111111111111111%
therefore: per cent of discount is 11.11% (rounded to two decimal place)
Answer:
11.11 %
Step-by-step explanation:
Costing Price = Rs 180
Selling Price = Rs 160
Discount = C.P - S.P
=> 180-160
=> Rs 20
In %age:
=> [tex]\frac{20}{180} * 100[/tex]
=> 11.11 %
The following data points represent how many houses Gregg the Garbage Man visited each day last week.
12,28,33,37,23,14,9
use the data,and create a histogram
Answers
Answer:
Here we want to create a histogram of:
Number of houses Vs day.
First you need to create a rectangular coordinate axis.
In the x-axis you will divide the days as:
day 1, day2, day3 etc
in the y-axis you will measure the number of houses visited.
then, for the first day our height will be 12 units
for the second day, our height will be 28 units...
and so on.
Remember that for histograms you need to use columns.
Then, our histogram will look like:
The graph shows the function f(x)=2^x.what is the value of x when f(x)=8?
Answers
Answer:
The Answer is 6 :)
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
f(x)=2^x
Let f(x) =8
8 = 2^x
Rewriting 8 = 2^3
2^3 = 2^x
The bases are the same so the exponents are the same
3=x
PLEASE PLEASE PLEASE HELP ASAP *grade 9 work* best answer gets brainliest :)
Answers
X=70 and y=125
Here we can find x by the property of linear pair
And y by angle sum property for parallelogram
Number 14
X=30
We can use angle sum property here
So 2x+3x+x=180
6x=180
X=180/6
X= 30
Hope it helps
And don’t forget to mark as brainliest
Which diagram shows lines that must be parallel lines cut by a transversal? 2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the bottom left angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 65 degrees. 2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the bottom left angle is 115 degrees and the bottom right angle is 65 degrees. 2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the top right angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 115 degrees. 2 horizontal lines are intersected by a third line. At the intersection of the first line with the third line, the uppercase left angle is 65 degrees and the bottom right angle is 65 degrees.
Answers
Answer:
(A) At the intersection of the first line with the third line, the bottom left angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 65 degrees.
Step-by-step explanation:
Alternate interior angles are supplementary when parallel lines are crossed by a transversal. The first description seems to be describing alternate interior angles. (See attachment)
_____
Comment on orientation
If the transversal is oriented horizontally, then the descriptions of the angles will be of different angles than assumed here.
Answer:
(A) the first diagram
Step-by-step explanation:
Consider this complex fraction. Which division problem is represented in the picture? Two-thirds divided by 3 and one-third 3 and one-third divided by (three-halves) 3 (two-thirds) 3 and one-third divided by 5
Answers
Answer:
This represents 3 and one-third divided by two-thirds because 10/3 = 3 and 1/3.
Answer:
It is 3 and 1/3 divided by 2/3. None of the choices given work.
Hope it helps <3
write an inequality for the graph
A. x > -3
B. x < -3
c. x > -3
_
Answers
Answer:
A. x > -3
Step-by-step explanation:
Well by looking at the graph we can tell that,
the line we can tell that the line goes to the right of of the number line,
Meaning x is greater than -3.
Thus,
x > -3.
Hope this helps :)
Which of the following is equivalent to 18 minus the square root of -25
Answers
Answer:
Undefined
Step-by-step explanation:
Since you said to find the square root of "-25" the answer is undefined because you cannot square root a negative number.
Answer:
18-5i
Step-by-step explanation:
I can't see the answer choices but all you have to do is simplify this equation.
18-√-25
What is the square root of -25?
Well first we make the -25 into 25 because we can't do anything with a negative.
So square root of 25 is 5
Now plug 5 into the equation
18-5
Then multiply i to 5 because we're not sure what the exact value of 18-√-25 is.
Hope this Helps!
23. A 340 million square mile forest is how many hectares?
Answers
Answer: in 340 million square miles there are 8.808 x 10^10 hectares
Step-by-step explanation:
Una importadora planea sus gastos para realizar la importación de 12 000 hasta 60 000 piezas de auriculares con aranceles y sin ellos. El precio de los auriculares antes del primero de septiembre de 2019 es de 96$ contemplando gastos de importación; el arancel de impuesto a ese producto es de 10%. Determina la expresión algebraica para modelar la compra de auriculares, indica si es una proporción directa o inversa.
Answers
Answer:
La expresión algebraica que representa la compra de los auriculares es [tex]c = 105.6\cdot n[/tex], existe una proporcionalidad directa.
Step-by-step explanation:
Existe un proporcionalidad directa, pues el coste total de importación aumenta conforme aumenta la cantidad de auriculares a importar. Esto es:
[tex]c \propto n[/tex]
[tex]c = k\cdot n[/tex]
Donde:
[tex]n[/tex] - Cantidad de auriculares a importar, adimensional.
[tex]c[/tex] - Coste total de importación, medido en pesos.
[tex]k[/tex] - Constante de proporcionalidad, medido en pesos.
La constante de proporcionalidad es igual al coste unitario del auricular más el impuesto de arancel, es decir:
[tex]k = 1.10\cdot (\$\,96)[/tex]
[tex]k = \$\,105.6[/tex]
Entonces, la expresión algebraica que representa la compra de los auriculares es:
[tex]c = 105.6\cdot n[/tex]
helllllllllllllllllpppppp meeeeeeeeeeee please i really need this Sabastian wanted to compare how much time his neighbors spend on the Internet to how much mail they receive in a week. He gathered data by surveying his neighbors. [ NOTE: He gathered data, so He Has it Already, do not go back in time...] Explain the steps Sabastian should take in order to analyze the data.
Answers
Answer:
Step-by-step explanation:
Step 1: Create a Survey
Step 2: Administer the Survey
Step 3: Collect responses.
Step 4: Organize responses - Since the data is bivariate I'd like to see them explain that they would maybe use a frequency table to organize this data.
Step 5: Analysis
Then he can look at how to explain the organization of their data - can we use a chart? If I am using a scatter plot, how do I find the line of best fit? How do I correlate data, etc?
The step to analyze the collected data include plotting the data on an histogram
How to determine the steps?From the question, we understand that the data has already been gathered.
The next step is to analyze the collected data.
This can be done in several ways.
One of them is as follows:
Sort the data in ascending orderDetermine the mean, median, mode and rangeDetermine the standard deviation and variancePlot the data on a chart (e.g. histogram)Read more about data analysis at:
https://brainly.com/question/15380707
#SPJ2
which statement is true about the value of /-5/
Answers
Answer:
-Absolute value is a measure of distance. 5 is in fact 5 units from 0 on the number line, just like +5. Its all about distance, and there are 2 things in math that will NEVER be negative...distance/length and time.
Step-by-step explanation:
Answer:
5.
Step-by-step explanation:
The absolute value measures the distance from 0. In this case, since the number is -5, the absolute value will be 5 since -5 is 5 units away from 0.
Hope this helps!
Someone help me plz
Answers
Answer: x = 3
Step-by-step explanation:
The area of a triangle is 1/2bh. Thus, the area of the triangle is 30. The area of a rectangle is lw. Thus it is 10x here. Thus, 10x = 30 and x = 3.
Hope it helps <3
Answer:
x = 3
Step-by-step explanation:
To find the area the area of a triangle is 1/2 b×h
that will be 1/2× 5×12 = 30
since the area of the triangle is equal to the area of the rectangle, and the area of a rectangle is l×b so l= x ; b= 10 so x × 10 = 30
= 10x= 30 divide both sides by 10 = 3
so x = 3
Radium-226 was discovered by Marie-Curie in 1898.
The notebooks she used were contaminated with radium-226 and are still hazardous.
Explain why the notebooks are still hazardous. (2) *
Answers
Answer:
The notebooks are still hazardous because the Curies didn't use protective equipment (nor did they have it) and the close proximity of the radioactive isotopes allowed for spreading of radioactivity. Since Radium-226 was kept in bottles and drawers in the Curies' home, it was in close proximity to their items. This allowed for Radium-226 to radiate to other items. In turn, those items absorbed the radiation and become radioactive. Today, Marie Curie is buried under a lead-lined coffin and her belongings can be visited ONLY with protective gear and signing a liability form.
Step-by-step explanation:
A survey asked people whether their pets are picky eaters. For these results,
are being a picky eater and being a dog independent or dependent events?
Justify your answer
Answers
Answer:
The probability for the dependent and the independent picky eater and not picky is similar in case of dependent variable and is different in case of independent variable.
Step-by-step explanation:
Independent variable is defined as the variables that are being manipulated, changed, or altered in a specific experiment or research in order to see its effect on the dependent variable.
The dependent variable is defined as the variable that is being measured or tested in a particular experiment or research by the investigator.
In the question above, as mentioned in the image or attachment, the probability of dog being picky or non-picky eater can be both dependent and independent in the different scenarios.
A metalsmith is mixing two molten metals, each containing different percentages of silver. The table shows the amount of each molten metal used. Which two expressions are both equivalent to t, the total number of grams of silver in the mixture?
A: (15)(0.75) and 0.7(15 – x) + 0.9x
B: (15)(0.75) and 0.7(15 – x)(0.9x)
C: 15 + 0.75 and 0.7(15 – x) + 0.9x
D: 15 + 0.75 and 0.7(15 – x)(0.9x)
Answers
Answer:
(15)(0.75) and 0.7(15 – x) + 0.9x
Step-by-step explanation:
I did that assignment.
Answer:
its A
Step-by-step explanation:
A soccer ball is made of 32 pieces of leather: white hexagons and black pentagons. Each black piece borders only with white pieces, each white piece borders with three black pieces and three white pieces. How many black pieces are needed to manufacture the ball?
Answers
Answer:
The number of black pieces needed to manufacture the ball is 11 black pieces
Step-by-step explanation:
Given that the number of pieces in the soccer ball = 32 pieces
The shape of the white piece = Hexagon
The shape of the black piece = Pentagon
Each black piece borders with only white pieces
Each white piece borders with three black pieces and three white pieces
For the first black pie piece is borders to 5 white pieces total 6 pieces
Each of the five white pieced borders 3 pieced total 5 black pieces on the sides and one white piece on top to make an additional 10 piece total = 10 + 6 = 21 piece
Each black piece holds one white piece to add extra 5 pieces to make the total = 26
At the outermost shell of the arrangement, each of the white piece attached to a black piece will attach to an extra black piece, bringing the total to 26 + 5 = 31,
The last piece is white
Total black piece = 1 + 5 + 5 = 11 black pieces.
a group of 60 adults were surveyed on the ways on how they cope with stress. and the following are the results 34 said they tend to go for a vacation 27 said they would go for a smoke break 41 answered they listen to music 13 tend to go for a vacation and smoke 16 said go for a smoke and listen to music 20 go for a cation and listen to music 28 said two of the coping mechanism how many adults said exactly one of the coping mechanisms
Answers
Answer:
The number of adults that said exactly one coping mechanism are 25 adults
Step-by-step explanation:
Total number of adult in the group = 60 adults
The number that go on vacation vacation = 34
The number that go for a smoke break = 27
The number that listen to music = 41
The number that go for a vacation and smoke = 13
The number that smoke and listen to music = 16
The number that go for a vacation and listen to music = 20
The number that said two of the coping mechanism = 28
Set theory
We have;
n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(A∩C) - n(B∩C) + n(A∩B∩C)
Given that the following relations;
n(A∪B∪C) = 60
n(A) = 34
n(B) = 27
n(C) = 41
n(A∩B) = 13
n(A∩C) = 20
n(B∩C) = 16
Therefore;
60 = 34 + 27 + 41 -13 - 20 - 16 + n(A∩B∩C)
∴ n(A∩B∩C) = 60 - (34 + 27 + 41 -13 - 20 - 16) = 7
Given that 28 said exactly 2, we have;
Total number of respondents = Those that said exactly 1 + Those that said exactly 2 + Those that said exactly 3
Total number of respondents = 60
Those that said exactly 2 = 28
Those that said exactly 3 = n(A∩B∩C) = 7
Therefore;
60 = Those that said exactly 1 + 28 + 7
Those that said exactly 1 = 60 - (28 + 7) = 25
Alternatively, we have;
Those that said exactly one = n(A) -(n(A∩B) + n(A∩C) - n(A∩B∩C)) + n(B) - (n(B∩C) + n(A∩B) - n(A∩B∩C)) + n(C) - (n(A∩C) + n(B∩C) - n(A∩B∩C))
= 34 - (13 + 20 - 7) + 27 - (16 + 13 - 7) + 41 - (20 + 16 - 7) = 25
60 - 28 - 7 = 25
The number of adults that said exactly one coping mechanism = 25.