Answer:
x = 30
Step-by-step explanation:
Since this is a right triangle,
90 = (x + 20) + (x + 10)
90 = x + x + 20 + 10
90 = 2x + 30
90 - 30 = 2x
60 = 2x
60/2 = 2x/2
30 = x
Check:
x + 20
30 + 20 = 50
x + 10
30 + 10 = 40
50 + 40 = 90
Hope this helps!
Can y’all pls help me solve this!!
Find the slope of the line passing through the points (-6 ,2) and (2,2)
Answer: 8
Step-by-step explanation:
Which type of information could best be displayed on a two-way frequency table? Select all that apply.
A the number of library books, by genre, borrowed by children and adults during the summer
B the amount of rainfall each week during a year
c the number of daylight hours each day for a month
D the number and type of meals students choose in a lunchroom
Answer: B C and D
Step-by-step explanation:
Find the value of x. The diagram is not to scale.
110°
57°
Answer:
you have to show the diagram ...
Step-by-step explanation:
Paul invited 221 people to a party. All but 33 people accepted. All but 4 of those who accepted actually attended. Half of the people who attended brought a friend.
How many people came to the party?
Explain.
Answer: 426
Step-by-step explanation:
221 - 33 = 288
288 - 4 = 284
284 / 2 = 142
284 + 142 = 426
Triangle QST is isosceles, and Line segment R T bisects AngleT.
Triangle Q S T is cut by bisector R T. The lengths of sides S T and Q T are congruent. Line segments S R and R Q are congruent. Angles S T R and R T Q are congruent.
What is true about AngleQRT? Select two options.
Measure of angleQRT = 90°
Measure of angleQRT = Measure of angleSRT
AngleQRT Is-congruent-to AngleSTQ
Measure of angleQRT = 2*Measure of angleRTQ
AngleQRT Is-congruent-to AngleRTQ
Answer:
Measure of angleQRT = 90°Measure of angleQRT = Measure of angleSRTStep-by-step explanation:
Angle QRT is right-angled!
Angles QRT and SRT are lie to each other, so they are congruent!
The correct answers are: A. m∠QRT = 90° & B. m∠QRT = m∠SRT
Step-by-step explanation: TRUST ME!!! Answers are correct on Edge! :)
What’s the answer for X
Answer: x=10°
Step-by-step explanation:
The problem tells us that ΔABC≅ΔDEC. Since these triangles are conguent, we know that:
∠A≅∠D
∠B≅∠E
∠C≅∠C
Since we know that ∠B is 50° and ∠B is congruent to ∠E, we can set them equal to each other to find x.
50=5x [Divide both sides by 5]
x=10°
For each of the shapes below, state whether it is a regular polygon, an
irregular polygon or neither.
ASAAP NEED HELLPPP
Answer:
regular: Eirregular: A, B, Dneither: CStep-by-step explanation:
You want to identify the given shapes as a regular or irregular polygon, or neither.
Regular polygonA regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.
Polygon E is a regular polygon.
PolygonA polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.
Any simple polygon that is not a regular polygon is an irregular polygon.
Polygons A, B, D are irregular polygons.
CircleA circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.
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Graph the data, and find the slope and y-intercept from the graph.
Then write an equation for the graph in slope-intercept form.
A graph of the data is shown in the image attached below.
The slope is equal to 0.4.
The y-intercept from the graph is equal to
An equation for the graph in slope-intercept form is y = 0.4x + 2.
How to calculate the slope of a line?Mathematically, the slope of a straight line can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Substituting the given points into the formula, we have;
Slope, m = (10 - 4)/(20 - 5)
Slope, m = 6/15
Slope, m = 2/5 or 0.4
Mathematically, the slope-intercept form of a straight line is given by;
y = mx + c
Where:
x and y are the points.m represents the slope.c represents the intercept.At point (5, 4), an equation in slope-intercept form is given by:
y - y₁ = m(x - x₁)
y - 4 = 0.4(x - 5)
y - 4 = 0.4x - 2
y = 0.4x - 2 + 4
y = 0.4x + 2.
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use the figure to find x
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
The given side is opposite the angle, and the unknown is the hypotenuse. The relevant trig relation is ...
Sin = Opposite/Hypotenuse
sin(30°) = (5/2)/x
x = (5/2)/sin(30°) = (5/2)/(1/2) = 5/1
x = 5
__
Additional comment
In this 30°-60°-90° "special" right triangle, the long leg is √3 times the short leg, so ...
y = (5/2)√3
Determine if the following table represents a quadratic function. X 1 2 3 4 5 Y 13 22 37 58 85
Answer:
Yes, the table represents quadratic function.
\(Y = 3X^2+10\)
Step-by-step explanation:
Given that table of values:
\(\begin{center}\begin{tabular}{ c c}X & Y \\ 1 & 13 \\ 2 & 22 \\ 3 & 37 \\ 4 & 58 \\ 5 & 85 \\\end{tabular}\end{center}\)
To find:
Whether the given table represents a quadratic?
Solution:
First of all, let us plot the given values on the coordinate xy plane.
Kindly refer to the attached image for the graph of given values.
The graph seems parabolic in nature which is the graph of a quadratic equation.
Now, let us try to find the equation from the given set of values from hit and trial.
Let Quadratic equation be:
\(y=ax^{2} +b\)
If the coefficient a = 1
\(f(1) = 13 = 1^2+12\)
\(f(2) = 22 = 2^2+18\)
\(f(3) = 37= 3^2+28\)
\(f(4) = 58 = 4^2+42\)
\(f(5) = 85 = 5^2+60\)
value of b is not same in each case.
Now, let us try coefficient a = 3
\(f(1) = 13 = 3 \times 1^2+10\)
\(f(2) = 22 = 3\times 2^2+10\)
\(f(3) = 37= 3\times 3^2+10\)
\(f(4) = 58 = 3\times 4^2+10\)
\(f(5) = 85 =3\times 5^2+10\)
Value of b = 10
So, we can clearly say that the given table represents a quadratic equation.
and the quadratic equation is:
\(Y = 3X^2+10\)
One day Clare runs 4 miles. The next day she
runs 50% of that. How far does she run in total?
Answer:
She runs 6 miles in total.
kindly assist in answering these question
The measure of angle c is 37 degrees and the measure of angle b is 53 degrees
What are angles?Angles are formed when two or more lines intersect.
This in other words means that angles is the measure of space between the intersection of rays or lines
How to determine the measures of the angles?The measure of angle c
The given triangles are similar triangles
This means that the corresponding angles of the triangles are congruent
By comparing the corresponding angles of the given triangles, we have the following congruent equation
Angle c = 37
Hence, the measure of angle c is 37 degrees
The measure of angle b
As mentioned in part (a)
This means that the corresponding angles of the triangles are congruent
By comparing the corresponding angles of the three triangles, we have the following congruent equation
Angle b = 53
Hence, the measure of angle b is 53 degrees
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elodie is putting on a fashion show and has five fabulous outfits for her five fabulous fashion models. however, on the day of the show, two of the outfits were ruined in an unfortunate permanent marker incident. regardless, the show must go on and the remaining outfits will be presented. if each outfit can only be worn by one model and there is no time for any model to wear more than one dress, how many different shows can elodie put on? (note: two shows are considered the same if they contain the same models wearing the same dresses.)
By analyzing the question, we find that there are a total of 5 * 4 * 3 = 60 different shows that Elodie can put on.
What is permutation?A permutation is an arrangement of a set of items in a specific order. Permutations are typically denoted using the notation "P" followed by the number of items being permuted and the number of items being chosen at a time.
What is the formula to calculate permutation?The formula for calculating permutations is as follows:
P(n,r) = n! / (n-r)!
where:
P(n,r) is the number of permutations of r items from a set of n items.
n! is the factorial of n, which is the product of all positive integers less than or equal to n.
There are five fashion models and three remaining outfits, which means there are 5 ways to choose the model who wears the first outfit, 4 ways to choose the model who wears the second outfit, and 3 ways to choose the model who wears the third outfit. Therefore, there are a total of 5 * 4 * 3 = 60 different shows that Elodie can put on.
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la edad de Ana es la mitad de jose y dentro de 10 años seran dos tercios ..cual es la edad de jose
La edad actual de José es de 30 años.
Para resolver este problema, primero debemos establecer ecuaciones basadas en la información proporcionada. Llamemos "x" a la edad actual de José y "y" a la edad actual de Ana. Según la primera condición, la edad de Ana es la mitad de la edad de José, por lo que podemos escribir la ecuación: y = (1/2)x.
La segunda condición nos dice que dentro de 10 años, sus edades serán dos tercios de sus edades actuales. Esto se puede expresar como: (x + 10) * (2/3) = y + 10.
Reemplazando el valor de y en la segunda ecuación con la primera ecuación, obtenemos: (x + 10) * (2/3) = (1/2)x + 10.
Resolviendo esta ecuación, podemos simplificarla y llegar a: 2(x + 10) = 3[(1/2)x + 10].
Al resolver la ecuación resultante, encontramos que x = 30.
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Help plz due in 10min
Answer:
1.15
Step-by-step explanation:
Answer:
1.15
Step-by-step explanation:
So, first it would be helpful to change this from an improper fraction to a mixed number. Because we have an improper fraction now, we need to make this a mixed number by seeing how many times 23 can go into 20. Twenty-three can't go into 20, but if we take away 3 from 23 it can.
So, now we have 20/20 but with a remainder of 3/20. Because 20/20 = 1, it becomes a whole number of 1 and 3/20. Because there is a whole number of 1, we can put this as the whole number for the decimal. The fraction 3/20 is equal to the decimal 0.15, so we can now put the decimal together now that we have all the parts for the answer needed, which is 1.15.
I hope that this helps.
Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc? input your answer as a number only, in units of mpc.
Galaxy distance is 118 mpc.
Given:
Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc.
According to hubble's law:
v = \(H_0\\\) * D
where
v = velocity = 8254
\(H_0\\\) = hubble constant = 70
D = v/\(H_0\\\)
= 8254/70
= 4127/35
= 117.91
≈ 118 mpc.
Therefore Galaxy distance is 118 mpc.
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I NEEED HELP IM FAILING THIS CLASS WITH A (F) someone pls I’ll give brainliest and tons of points
Answer:
A reflection over the x axis
Step-by-step explanation:
x is the horizontal line we are reflecting one across it to get the other
What is the difference between population parameters and estimates in a sample?
Answer:
Using that sample, you calculate the corresponding sample characteristic, which is used to summarize information about the unknown population characteristic. The population characteristic of interest is called a parameter and the corresponding sample characteristic is the sample statistic or parameter estimate.
Step-by-step explanation:
If you collect a sample and calculate the mean and standard deviation, these are sample statistics.
PLS HELP MEEEEEEEEEEE!!!!
Answer:
the (x^2 + 36)
here you cant factor becausr of plus sign
hope this will help you ❤️
Answer:
맞는지 모르겠다....포인트 감사합니다.......
Find the LCM of A= 3^2 x 5^4 x 7 and B= 3^4 x 5^3 x 7 x11
The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.
Given are two numbers which are showed in the prime factorized form.
A = 3² × 5⁴ × 7
B = 3⁴ × 5³ × 7 × 11
Prime factorization is the factorization of a number in terms of prime numbers.
In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.
A = 3² × 5³ × 5 × 7
B = 3² × 3² × 5³ × 7 × 11
Bring down the primes in each column.
LCM = 3² × 3² × 5³ × 5 × 7 × 11
= 3898125
Hence the LCM is 3898125.
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You are finding a measure of center in the data sets below using either the mean or the median. In which of the data sets should you find the median? Select all that apply.
A) 68, 73, 77, 75, 23, 62 B) 84, 73, 28, 91, 93, 77 C) 24, 22, 21, 19, 23, 25 D) 18, 13, 56, 21, 12, 19 E) 77, 15, 81, 83, 84, 72
The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.
What is median of a data set?The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.
For example the median of option A) is calculated as follows:
Data set= 23,62,68,73,75,77
Median = 68+73/2 = 70.5
Therefore the median is between 68 and 73 which is = 70.5
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A trawler A is 40km west of another trawler B. A set off at 20kmh travel at 25kmh. What course should trawler B take to intercept trawler A
Trawler B should take a course that is 18 degrees east of north.
How to explain the angleIn order to intercept Trawler A, Trawler B must travel in a direction that will bring it closer to Trawler A. Since Trawler A is traveling due west, Trawler B must travel in a direction that is east of north. The angle that is 18 degrees east of north will bring Trawler B closest to Trawler A.
Here are the steps to find the course that Trawler B should take:
Draw a diagram of the situation.
Label the two trawlers A and B.
Draw a line representing the direction that Trawler A is traveling.
Draw a line representing the direction that Trawler B should travel.
Measure the angle between the two lines.
The angle between the two lines will be 18 degrees. Therefore, Trawler B should take a course that is 18 degrees east of north.
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Write a recursive formula for an, the nth term of the sequence 50, -10, 2, ....
a1
an
11
Answer:do homework
Step-by-step explanation:
73.1 divided by 10 to the 2 power
Answer:
.731
Step-by-step explanation:
10 x 10=100
73.1/100=.731
Step-by-step equation for a B & C Must show all work .work on a piece of paper send a piece of paper thank you. Whoever gets it right gets extra points.
Hey there!
a.) 1 inch
beginning = 2; end = 3; difference of 1
b.) December, because the length was, let's say, 2, then it went down 1 (so we're at 1), then went up 3 (4), then went down
c.) in December
Hope it helps, have a great day!
Step-by-step explanation:
a.total change in my hair =2-1+3-4+3=3inches
b.my hair is longer on December because the length of my hair is 3inches but 2inches in January.
c.my hair is longest as on December because the length of my hair is longer than on other month.
●
Jamie went out to her grandfather's farm.
Her grandfather has pigs and chickens on his farm.
She noticed that there were a total of 26 heads and
68 feet among them. How many chickens and how
many pigs did her grandfather have?
Answer:
8 pigs
Step-by-step explanation:
Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.
Suppose all animals are chickens.
Total no. of feet = 26 chickens × 2 feet
= 52 feet
Difference in total no. of feet = 68 feet - 52 feet
= 16 feet
Difference in no. of feet each animal has
= 4 feet (a pig) - 2 feet (a chicken)
= 2 feet
∴ No. of pigs = 16 feet ÷ 2 feet
= 8 pigs
Aisha needs to be at least 48 inches tall to ride the colossal coaster at the amusement park. If she grows 5 inches during the next year, Aisha will still not be tall enough to ride. In the context of this situation, what does the inequality x less-than 43 represent?
Answer:
Aisha is shorter than 43 inches.
Step-by-step explanation:
\(x+5=48\)
\(x=48-5\)
\(x=43\)
\(x >43\)
Answer:
The answer is B!
Step-by-step explanation:
Test taking! <3
Please solve this with clear steps!!!!! 20 POINTS
The width of the river using the similar triangle is 43.3 metres.
How to find the width of the river?The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.
Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Hence, let's find the width of the river.
Therefore,
18.6 / 34.2 = AB / 79.6
cross multiply
18.6 × 79.6 = 34.2 AB
34.2 AB = 1480.56
divide both sides of the equation by 34.2
AB = 1480.56 / 34.2
AB = 43.2912280702
AB = 43.3 metres
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Circumference and the area of a circle with radius 2 m
Question:
Solution:
Circumference of the circle:
The Circumference C of a circle of radius r is given by the following formula:
\(C\text{ = 2}\pi r\)in this case r=2m, then the circumference would be:
\(C\text{ = 2}\pi(2)=12.56\)that is, the circumference of the circle is:
\(12.56\text{ m}\)
Area of the circle:
The area A of a circle of radius r, is given by the following formula:
\(A=\pi r^2\)According to the data of the problem, we can conclude that the area of the given circle is:
\(A=\pi r^2=\pi(2)^2=4\pi=12.56\)that is, the area of the given circle is:
\(12.56m^2\)