The Angle Angle Side postulate states that if two angles and the non-included side of one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.
Then, the two triangles are related by Angle-Angle-Side (AAS), so the triangles are congruent
Solve for X. Assume that lines which appeared tangent are tangent.
Step 1: The question falls under intersecting secant lines theorem
This explain that m
Step 2 :
\(\begin{gathered} 61x+2=\frac{1}{2}(54+194)^{} \\ 61x\text{ + 2 = }\frac{1}{2}\text{ x 248} \\ 61x\text{ + 2 = 124} \\ 61x\text{ = 122} \\ \text{divide both sid}e\text{ by 61} \\ x\text{ = }\frac{122}{61} \\ x=\text{ 2} \\ \end{gathered}\)Then X = 2
ow many three-letter "words" can be made from 8 letters "FGHIJKLM" if repetition of letters
Answer:
336
Step-by-step explanation:
A total of 512 possible words can be made.
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a 8 letters word "FGHIJKLM"
Assume that there are [y] possible combinations. Then, the total number of [x] digit words that can be made are -
y = 8ˣ
y = 8ˣ
y = 8 x 8 x 8
y = 512
Therefore, a total of 512 possible words can be made.
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-6(-7v+8)-6v=336 ÁLGEBRA 1 FRESHMEN MATH NEED HELP NOW WILL MARK BRAINLIEATST
Answer:
Step-by-step explanation:
42v - 48 - 6v = 336
36v - 48 = 336
36v = 384
v = 10 2/3
The entire seventh-grade class at Hobbes Junior High is having an ice cream party. The school conducted a survey about which kind of ice cream the students want for the party, with the choices of chocolate, vanilla, strawberry, and mint. The circle graph below shows the percentage of the class who voted for each flavor.
Approximately what percentage of the class voted for strawberry ice cream?
A. 30%
B. 60%
C. 20%
D. 10%
Answer:
Strawberry 10% D
Step-by-step explanation:
percentage of chocolate is approximately 60% since it is covering more than half of the circle.
Now we have 3 parts left
as we can see Strawberry and Mint seem similar in size so they are gonna be equal, while vanilla is bigger than both of them.
60+?+?+?=100
hence strawberry is 10, mint is 10, chocolate is 60, vanilla is 20.
Determine if the number is a negative or positive integer. Dived 28 ft below sea level. *
Answer:
Its BELOW sea level
Step-by-step explanation:
Check picture pls this is geometry work
Answer:
45
scalene
acute
Step-by-step explanation:
Answer: The triangle classified by the sides is 59 degrees. The triangle is classified by the angel is 1
Step-by-step explanation:
The string of a kite is 100 meters long and it makes an angle of 60° with the ground. What is the height of the kite?
Show your work please)
Answer:
50√3 ≈ 86.6 m
Step-by-step explanation:
The geometry can be modeled by a right triangle with the height of the kite being the leg opposite the 60° angle. The hypotenuse has the given length of 100 m.
The mnemonic SOH CAH TOA reminds you that the relation between angles and the sides of interest here is ...
Sin = Opposite/Hypotenuse
sin(60°) = (kite height)/(100 m)
kite height = (100 m)·sin(60°) = (100 m)(√3)/2
kite height = 50√3 m ≈ 86.6 m
Julia has 9 one pound bags of sand each a different color. For a art project she will use 1/8 lb of each bag of sand to create sand art jar. How much sand will be in the jar?
a. 8/9, b. 1/72, c. 1 1/9, d. 1 1/8
152 is the product of hectors age and 8
Answer:
If its asking for hectors age, then its 152/8=19
Step-by-step explanation:
Answer:
144
Step-by-step explanation:
152-8
Question 4 of 10
If f(x) = 2(x)² +5√(x+2), complete the following statement (round your
answer to the nearest hundredth):
f(0) =
The function of f(0) =7.0710.
What is a function?
A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.
The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.
f(x) = 2(x)² +5√(x+2)
f(0) = 2*0 +5√2
f(0) = 7.0710
Hence the value will be 7.0710.
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Enter the correct answer in the box.
Write an expression to represent the given statement. Use n for the variable.
three times the absolute value of the sum of a number and 6
DO
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P
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sin cos tan
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B
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9
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Αμρ φ
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CSC seccot
Answer:
3x + n+6
Step-by-step explanation:
The required expression to represent the situation is; 3n+18
Algebraic expressionsAccording to the question;
The required expression is three times the absolute value of the sum of a number and 6.Hence, it follows that, the absolute value of the sum of a number and 6 is; |n + 6|.
Hence, 3 times the absolute value is;
3 |n + 6|Hence, upon evaluation; the expression is; 3n + 18
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Does the graph represent a function?
please help :)
Answer:
it does
Step-by-step explanation:
i did this assignment yesterday
What is the solution for y=2x+3, y=2x-3
Answer:.
Step-by-step explanation:
hi, back at it agian. i dont think this would be to hard. delta math sucks... i need this asap! ·ω·
Answer:
I can't read the words the picture is to grainy
Answer:
10% would be 6
Step-by-step explanation:
First you want to find the 100 percent amount to turn 40 into 100 you need to multiply it by 2.5 so you want to take 24 and multiply by 2.5 which equal 60 and 60 divided by 10 is 6
TO determine which side of a linear inequality to shade in for its graph, you
should pick a point on one side of the dashed or solid line and plug its
coordinates into the original inequality. If the coordinates satisfy the
inequality, you should shade in that half of the plane.
• A. True
• B. False
The given statement about inequality is true.
What is inequality?The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.
The statement is true ''Pick a point on one side of the solid or dashed line and enter its coordinates into the original inequality to determine which side of a linear inequality to colour in for its graph. On that side of the plane, you should shade if the coordinates satisfy the inequality''.
The statement defines how to write an inequality the meaning of inequality is that one part of the inequality will be shaded by some colour indicating that the region is falling under the area of inequality.
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If the probability that the Islanders will beat the Rangers in a game is o.84,
what is the probability that the Islanders will win exactly four out of seven
games in a series against the Rangers? Round your answer to the nearest
thousandth.
The thousandths place is represented by the third digit to the right of the decimal point. Following the decimal point, the fourth digit is in the ten thousandths place, and so on.
What is a thousandth of an example?
The thousandths digit is the third decimal digit after the decimal point. 0.008 is eight thousandths, for instance. Say "thousandths" after reading the three decimal digits as a number. 8 tenths, 200ths, and 5,000ths make up the number 0.825.
How would you write 4,000?
Four thousand can be written as 4000 in words. You can write, "I just saved Four Thousand Dollars," if you have saved $4,000 so far. The word for the number four thousand that indicates a quantity is four thousand. Let's fill out the place value chart with the given number.
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Solve following modular equation, using reverse Euclidean algorithm:
\((5 * x) mod 91 = 32\)
The required reverse Euclidean algorithm is the solution to the modular equation (5x) mod 91 is
x = 6(mod 91).
Given that (5*x) mod 91 =32.
To solve the modular equation (5*x) mod 91 =32 using reverse Euclidean algorithm is to find the modular inverse of 5 modulo 91.
Consider (5*x) mod 91 =32.
5x = 32(mod 91)
Apply the Euclidean algorithm to find GCD of 5 and 91 is
91 = 18 * 5 + 1.
Rewrite it in congruence form,
1 = 91 - 18 *5
On simplifying the equation,
1 = 91 (mod 5)
The modular inverse of 5 modulo 91 is 18.
Multiply equation by 18 on both sides,
90x = 576 (mod91)
To obtain the smallest positive solution,
91:576 = 6 (mod 91)
Divide both sides by the coefficient of x:
x = 6 * 90^(-1).
Apply the Euclidean algorithm,
91 = 1*90 + 1.
Simplify the equation,
1 + 1 mod (90)
The modular inverse of 90 modulo 91 is 1.
Substitute the modular inverse in the given question gives,
x = 6*1(mod 91)
x= 6 (mod91)
Therefore, the solution to the modular equation (5x) mod 91 is
x = 6(mod 91).
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HELP ASAP Emily bought 7 shirts, 2 pair of pants , 2 skirts, 3 pair of shoes. each day she wears 1 shirt,1pair of pants, and 1 pair of shoes. how many different outfits an Emily make from the new clothes and shoes she bought?
Answer:42
Step-by-step explanation:
we need to find the product of the number of options for each category.
Emily has:
7 shirts
2 pairs of pants
2 skirts (not mentioned if she can wear them with shirts, so we'll exclude them for now)
3 pairs of shoes
Since Emily wears one shirt, one pair of pants, and one pair of shoes each day, we can multiply the number of options for each category:
7 shirts * 2 pants * 3 shoes = 42 different outfits
Therefore, Emily can make 42 different outfits from the new clothes and shoes she bought.
Please answer number 9 I’ll give brainliest thank you!
Answer:
C (95 people)
Step-by-step explanation:
380 is basically like 100% so 380÷100= 3.8 (which is equal to 1%), then use a calculator to do 3.8x25=95 (this makes 25%)
Answer:
C.95
Step-by-step explanation:
25/100=0.25
380*0.25=95
PLEASE HELP ASAP
solve -1/6[3-15(1/3)2]
Answer:
C) -2/9
Step-by-step explanation:
\(\displaystyle -\frac{1}{6}\biggr[3-15\biggr(\frac{1}{3}\biggr)^2\biggr]\\\\=-\frac{1}{6}\biggr[3-15\biggr(\frac{1}{9}\biggr)\biggr]\\\\=-\frac{1}{6}\biggr[3-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{27}{9}-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{12}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{4}{3}\biggr]\\\\=-\frac{4}{18}\\\\=-\frac{2}{9}\)
Answer:
Hence, Option (C) - 2/9 is the Answer:
Step-by-step explanation:
-1/6 [3 -15(1/3)^2]
-1/6(3 -15)(1/9))
-1/6(3 - 5/3)
-1/6 (4/3)
Hence, Option (C) - 2/9 is the Answer:
I hope it helps!
Martin can run a lap in 6 minutes. If he has an hour to run, how many laps can
complete? *
aur answer
Help pls
Answer: 10 laps
Step-by-step explanation: 60(minutes) divided by 6(minutes of orginal lap)
65% of the workers are women. If 980 people work for the company who
aren't women, how many workers are there in all? Use pencil and paper. Show two different ways that
you can solve this problem.
There are workers in all. (Type a whole number.)
637 is the answer because our value is 980 we all know the unknown value with x for the step above 980 and 100% and 65% is the result in a pair of a simple equations
The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and standard deviation is 4 beads. Which sentence most closely summarizes the data?
About 80 necklaces have more than 28 beads. Then the correct option is C.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and the standard deviation is 4 beads.
P(x > 28) = P(x - 24 / 4 > 28 - 24 / 4)
P(x > 28) = P(x - 24 / 4 > 1)
P(x > 28) = 1 - ∅1
P(x > 28) = 1 - 0.8413
P(x > 28) = 0.1587
Multiply both sides by 500, then we have
500 P(x > 28) = 0.1587 × 500
500 P(x > 28) = 79.35
500 P(x > 28) ≈ 80
About 80 necklaces have more than 28 beads. Then the correct option is C.
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The missing options are given below.
A. About 24 devices have more than 28 beads.
B. About 48 necklaces have more than 28 beads.
C. About 80 necklaces have more than 28 beads.
D. About 96 necklaces have more than 28 beads.
Siri is grocery shopping. She is buying macaroni. One box is 6 inches long, 1 inch wide and 9
inches tall. The second box is 3 inches long, 3 inches wide and 6 inches tall. Which box holds
more macaroni?
Answer:
The second box
Step-by-step explanation:
The volume of a pyramid can be given by the formula: V=31Ah. Where. A: Area of the V=(1/3)(B)(h)
multiply both sides by 3
3V=Bh
divide both sides by B
3V/B=h
Therefore, If it is wider it has more space to carry more items such as macaroni.
ΔQRS is an isosceles triangle. What is the length of RT¯¯¯¯¯
R
T
? Round to the nearest hundredth. Enter your answer in the box.
\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{11}\\ a=\stackrel{adjacent}{6}\\ o=\stackrel{opposite}{RT} \end{cases} \\\\\\ RT=\sqrt{ 11^2 - 6^2}\implies RT=\sqrt{ 121 - 36 } \implies RT=\sqrt{ 85 }\implies RT\approx 9.22\)
What are all the real and complex solutions of the equation x³ + 5x² + 5x = 0? Select all that apply. Hint: Factor, then use quadratic formula.
Answer:
Step-by-step explanation:
First, we can factor out an x from each term in the equation:
x(x² + 5x + 5) = 0
Setting each factor equal to zero gives two equations:
x = 0
x² + 5x + 5 = 0
The solution to the first equation is x = 0, which is a real number.
The solution to the second equation can be found using the quadratic formula:
\(x=\frac{-b+ \sqrt{b^{2} -4ac}}{2a}\)
\(x=\frac{-b- \sqrt{b^{2} -4ac}}{2a}\)
For the equation x² + 5x + 5 = 0, we have a = 1, b = 5, and c = 5.
Plugging these into the quadratic formula gives:
\(x = \frac{-5+\sqrt{5^{2} -4 (1)(5)}}{2(1)}\)
\(x=\frac{-5+\sqrt{25-20}}{2}\)
\(x= \frac{-5+\sqrt{5} }{2} ,x= \frac{-5-\sqrt{5} }{2}\)
\(x=\frac{-5}{2}+ \frac{\sqrt{5}}{2} ,x= \frac{-5}{2}- \frac{\sqrt{5}}{2}\)
So the solutions are:
\(x = 0\)
\(x=\frac{-5}{2}+ \frac{\sqrt{5}}{2}\)
\(x= \frac{-5}{2}- \frac{\sqrt{5}}{2}\)
All solutions in this case are real. There are no complex solutions because the discriminant (b² - 4ac) of the quadratic equation is greater than 0, which means there are two distinct real roots for the quadratic part of the equation.
What is the quotient of the expression the quantity 35 times a to the third power times b to the second power minus 5 times a to the second power times b plus 25 times a times b end quantity divided by the quantity 5 times a times b end quantity?
7a3b − a + 5
7a3b + a + 5
7a2b + a + 5
7a2b − a + 5
quotient of the expression 7a2b − b + 5.
what is power of any number ?power is "how many times you multiply a number or variable by itself.
given that ,the quantity 35 times a to the third power times b to the second power minus 5 times a to the second power times b plus 25 times a times b end quantity divided by the quantity 5 times a times b end quantity
The expression can be represent as follows:
\((35a^3b - 5ab^2 + 25ab) / (5ab)\)
take common 5ab in numerator part then ,
= \((5ab) * (7a^2b - b + 5) / (5ab)\)
after solving the equation,
= \(7a^2b - b + 5\)
Therefore, the quotient is \(7a^2b - b + 5\).
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Answer:
The answer is D
7a2b − a + 5
Step-by-step explanation:
7a2b − a + 5
What is has to be solved 2/3x = 4
Answer:
x=6
Step-by-step explanation:
x has to be solved : )
The equation y=15x+20 represents the cost y (in dollars) of a gym membership after x months
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The cost of a gym after 2 months is 50
The cost of a gym after 3 months is 65
The cost of a gym after 4 months is 80
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 5 is an equation.
3x + 4x = 5 is an equation.
We have,
y = 15x + 20
x denotes months
y denotes the cost for x months.
20 = one-time membership
15 = cost per month.
Now,
Substitute x = 1, 2, 3, 4, 5, 6, . . .
y = 15 x 1 + 20
y = 15 + 20
y = 35
y = 15 x 2 + 20
y = 30 + 20
y = 50
y = 15 x 3 + 20
y = 45 + 20
y = 65
y = 15 x 4 + 20
y = 60 + 20
y = 80
Thus,
The cost of a gym after 2 months is 50
The cost of a gym after 3 months is 65
The cost of a gym after 4 months is 80
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Look at the problem: (3x - 5)(x + 4)
Explain how to use the FOIL method to multiply the binomials.
Answer: 3x^2 + 7x - 20
Step-by-step explanation:
The foil method means:
First (multiply the first numbers in each binomial)
Outside (Multiply the first number in the first binomial and second number in the second binomial)
Inside (Multiply the second number in the first binomial with the first number in the second binomial)
Last (Multiply the second number in both binomials)
Therefore the equation can be simplified into: (3x * x) + (3x * 4) + (-5 * x) + (-5 * 4)
After simplifying further you get: 3x^2 + 12x - 5x - 20
You can now combine the 12x and -5x into 7x