Answers
Answer:
m∠E = 52°
Step-by-step explanation:
You seem to want a step-by-step explanation of the logic to find the measure of angle E.
There are a number of approaches you might take to this. Here is one.
[tex]\begin{array}{ccc}\text{Step}&\text{Angle}&\text{Reason}\\1&m\angle C=64^\circ&\text{Given}\\2&m\angle ADE=64^\circ&\textsf{Corresponding angles}\\3&m\angle DAB=64^\circ&\textsf{Alternate interior angles}\\4& m\angle DAE=64^\circ& \textsf{Angle bisector de}\textsf{finition}\\5& m\angle E=52^\circ&\textsf{Sum of angles in a triangle}\end{array}[/tex]
The measure of angle E is 52°.
Related Questions
13. There is an 80 gram mixture of material X, Y, and Z. The ratio X :Y:Z is 4/7 / 5 . If material Z is removed, what is the new weight, in gram, of the mixture?A. 11B.64C. 25D.45
Answers
The ratio given in the problem implies that for every 4 gr of X in the mixture, there are 7 gr of Y and 5 gr of Z. Notice that:
[tex]\begin{gathered} 4+7+5=16 \\ \frac{80}{16}=5 \end{gathered}[/tex]Then, we need to multiply all the previous quantities by 5. Then, in the 80gr mixture, there are 20gr of X, 35gr of Y, and 25gr of Z.
If we remove Z from the mixture, we will end up with a total mass of:
[tex]80-25=55[/tex]55 gr is the answer to the question, despite not being among the options
Prove that the options given are not possible:
Notice that options A and C imply that most of the mixture consists of Z substance, which is not possible according to the relation.
The only possibility would be C, in that case:
[tex]\begin{gathered} 4+7=11 \\ \frac{64}{11}=5.8181\ldots \\ \Rightarrow Z\approx29.0909\ldots \\ 64+29.0909\approx93.0909 \end{gathered}[/tex]Which is not equal to 100gr
find the domain and range of the graph below
Answers
Answer:
DOMAIN: (-∞,-2)U(-2,∞) RANGE (-∞,-4)U(-4,∞)
Step-by-step explanation:
Domain x values
(-∞,-2)U(-2,∞)
Range y values
(-∞,-4)U(-4,∞)
The radius of a circle is 9 inches. What is the length of a 45° arc?
Answers
SOLUTION:
Step 1:
In this question, we are given the following:
The radius of a circle is 9 inches.
What is the length of a 45° arc?
Step 2:
The details of the solution are as follows:
[tex]\begin{gathered} Arc\text{ length = }\frac{\theta}{360^0}\text{ x 2}\pi r \\ where\text{ }\theta\text{ = 45}^0 \\ Radius\text{ = 9 inches} \\ \end{gathered}[/tex][tex]\begin{gathered} Arc\text{ length =}\frac{45^0}{360^0}\text{ x 2 x }\pi\text{ x 9} \\ =\frac{1}{8}\text{ x 2 x }\pi\text{ x 9} \\ =\text{ }\frac{18\pi}{8} \\ =\text{ }\frac{9\pi}{4} \\ =\text{ 7.068583471} \\ \approx\text{ 7.07 inches \lparen correct to 2 decimal places\rparen} \end{gathered}[/tex]CONCLUSION:
The length of the Arc = 7.07 inches ( correct to 2 decimal places )
Suppose a < -1. What must be true about the value about the value of b so that ab< a?-1 < b < 00 < b < 1b < -1 b > 1
Answers
ANSWER
b > 1
EXPLANATION
Suppose that a < -1.
We need to find the value of b such that:
a * b < a
This means that:
a * b < -1
For this to be possible, b must first be a positive number. Because if b is negative, then:
a * b > 0
Which would mean that a * b is greater than a.
For b to be a positive number that satisfies the inequality, then b cannot be less than 1. This is because if b is less than 1, then:
a * b > a
Therefore, b must be a positive number that is greater than 1.
This means that:
b > 1
draw examples of each figure: - 2 perpendicular lines-AB AC ray on same line-EW intersecting with EMI'll upload picture
Answers
Part c
N 11
2 perpendicular lines
see the figure below
N 12
see the figure below
N 13
see the figure below
Before solving any of the following problems: identify the variables that are given and which one is unknown. Then solve the problem, rounding to two decimal places. 7) Tyrone deposits his yearly bonus of $1000 into an account that earns 2% interest compounded annually . How much will he have in the account after 20 years of working at his job?
Answers
Explanation
For a sum compounded annually, the Annuity formula is given by:
[tex]\begin{gathered} A=P\times\frac{1-(1+r)^{-n}}{r} \\ \\ where\text{ P =Initial deposit =\$1000} \\ r=rate\text{ of interest=2 \% =0.02} \\ n=the\text{ number of years compounded =20} \end{gathered}[/tex]Thus, we will compute the amount that will be in his account as:
[tex]A=1000\times\frac{1-(1+0.02)^{-20}}{0.02}[/tex][tex]\begin{gathered} A=1000\times\frac{0.3270}{0.02} \\ \\ A=16351.43 \end{gathered}[/tex]Therefore, after 20 years, he will have had the sum of $16351.43 in his account
I need help finding the vertex and axis of symmetry
Answers
To find the vertex coordinates from the parabola, you can analyze the graph. The x (vertex) coordinate is just over the "x" axis, so the value is xvertex = 2.
The y (vertex) coordinate is y= 0 because it is the value that the parabola takes on that axis.
The axis of symmetry is the value in the "x" axis where the parabola is divided in half. So in this case is x = 2.
So the anser is x(vertex) = 2, y (vertex)=0 , and the axis of symmetry is x= 2.
What is the slope of this line?
6
10
Answers
Answer: 0.6
Step-by-step explanation:
m = 6/10
m = 0.6
Help me out please, been struggling and I would appreciate some help.
Answers
By using the given diagram, we can see that the ordered pair that represents point B is (-4, 0)
Which ordered pair represents B?Any point on a coordinate plane has a ordered pair associated to it, that tells us the location of the point (x, y).
For example, the intersection between the two axes is the point (0, 0).
The first value, x, represents the horizontal displacement, the second variable, y, represents the vertical displacement.
Here we can see that B is 4 units to the left of the center, then the ordered pair that represents point B is (-4, 0)
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Please give me the correct answer.True or false.If a=b,then a+c=b+c.
Answers
The statement is true since it is the so-called Addition Property of Equality, which says that, if two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.
Find the number of solutions of the equation 6x2 + 6x + 3 = 0 by using the discriminant
Answers
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Write the standard form of a quadratic equation
[tex]ax^2+bx+c=0[/tex]STEP 2: Write the formula for getting a discriminant
[tex]D=b^2-4ac[/tex]STEP 3: Write the given quadratic equation
[tex]\begin{gathered} 6x^2+6x+3=0 \\ a=6,b=6,c=3 \end{gathered}[/tex]STEP 4: Substitute the values to get the discriminant
[tex]\begin{gathered} D=6^2-4(6)(3) \\ D=36-72=-36 \\ D=-36 \end{gathered}[/tex]STEP 5: Explain the conditions for using the discriminant
If the discriminant is greater than zero, there are two solutions.
If the discriminant is equal to zero, there is one real solution
If the discriminant is less than zero, there are no real solutions
Hence, using the conditions above,
There are no real solutions since the discrimian
A park designer wanted to place a fountain so that it was close to the slide. He was given two distances as an option 1 3/4 feet or 1 5/12 feet from the slide.
Which distance is closer to the slide? Show your work to compare the two distances
Answers
Answer:
200 ft
Step-by-step explanation:
you trie it might help
hope it helps god is with u
What is the explicit formula for this sequence?
-9, -3, 3, 9, 15,
A. an= (-9) + (n − 1)(-6)
B. an=6+ (n − 1)(-9)
C. an=21+ (n-1)6
D. an= (-9) + (n-1)6
Answers
The explicit formula for this sequence exists as = (-9) + (n-1)6
Explain about the explicit formula ?We can use an explicit formula, as previously discussed, to determine the nth term in a series. The simplest meaning of explicit is precise or unambiguous. The reason the formula is explicit is that, if properly used, it can be used to find the nth term.
An arithmetic sequence can be expressed explicitly as a = a + (n - 1)d, and each term of the sequence can be computed without knowledge of the other parts. The nth term of an arithmetic, geometric, or harmonic series is usually the explicit formula.
Given: -9, -3, 3, 9, 15.
Because it is an arithmetic series, the supplied sequence.
Therefore, there is no difference between two consecutive terms.
For example, 3-(-3)=6 and (-3)-(-9)=6.
The nth term is now equal to a+(n-1)d.
as, a=-9
So, = -9+(n-1)6
= -9+6n-6
= 6n-15
so that =-9+(n-1)6.
The answer is option D
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The following table shows the points scored each game by Pat during the basketball season. Complete the following questions:1. What is the probability Pat scores between 10 and 15 points in a game? Round answer to two decimal places.2. What is the probability Pat scores 16 or more points? Round answer to three decimal places.
Answers
ANSWER
[tex]\begin{gathered} (1)0.162 \\ (2)0.811 \end{gathered}[/tex]EXPLANATION
From the given table;
1. The probability that Pat scores between 10 and 15 points in a game;
The frequency for (10 - 15) is 6
Summation of frequency is;
[tex]1+6+5+17+8=37[/tex]Hence, the probability that Pat scores between 10 and 15 points in a game;
[tex]\begin{gathered} P(10\leq x\leq15)=\frac{6}{37} \\ =0.16216 \\ \cong0.162 \end{gathered}[/tex]2. The probability Pat scores 16 or more points is calculated by adding all the frequency from 16 points and above.
Hence;
[tex]5+17+8=30[/tex]Therefore the P(16 and above);
[tex]\begin{gathered} P(x\ge16)=\frac{30}{37} \\ =0.8108 \\ \cong0.811 \end{gathered}[/tex]need help with both lots of points show work
Answers
The mistake in Mike's steps is in step3 and the correct solution is 10x/3 - 2 = y
The solution of the equation is given as:
10x - 3y = 6
+ 3y +3y
---------------------------
10x = 3y + 6
-6 - 6
---------------------------
(10x - 6)/3 = 3y/3
10x - 2 = y
In the above steps, we have the following equation
(10x - 6)/3 = 3y/3
When the above equation is expanded, we have
10x/3 - 6/3 = 3y/3
10x/3 - 2 = y
The above equation is different from Mike's result.
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5x2 and 6x4 in lowest terms
Answers
The lowest term of 5*2 is 10
The lowest term of 6*4 is 24
How are the lowest terms calculated?
1. 5 * 2
Multiplying 5 and 2 ,
The lowest term of 5*2 is 10
2. 6*4
Multiplying 6 and 4 ,
The lowest term of 6*4 is 24
What is multiplication?
Finding the product of two or more numbers is done by multiplication. The fundamental concept of making the same number additions repeatedly is represented by the action of multiplication. The results of multiplying two or more integers are known as the products, and the factors that are used in the multiplication are referred to as the factors. The process of repeatedly adding the same number is made simpler by multiplication.To learn more about multiplication, refer:
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If you want to cut 24 two-foot braces, how many boards of the length shown below would you need? 12 ft A. 4 B. 6 C. 12 D. 24
Answers
We will have that we will need the following number of boards:
We can see that each board can be used to obtain 6 two-foot braces.
So, we will need:
[tex]x=\frac{1\cdot20}{6}\Rightarrow x=\frac{10}{3}\Rightarrow x\approx3.33[/tex]So, we will need 4 boards.
6,855,090 in word from
Answers
Given data:
Thhe given nummber is 6,855,090.
The given number can be expand in the word form as,
Six million eight hundred fifty-five thousand ninty.
Thus, the word form of the given nuber is six million eight hundred fifty-five thousand ninty.
Given the sequence: 1,-4, 9, -16, ... The next term is 25.TrueFalse
Answers
it's true
the next term is 25
QUESTION 4One hundred twenty sixth graders are going on a field trip toSea World. The ratio of chaperones to students must be 1:10.How many chaperones are needed for the trip?A) 12B) 13C) 14D) 15
Answers
We can express the ratio of chaperones to students 1 : 10 as a fraction, like this:
[tex]\frac{1}{10}[/tex]By multiplying the number of students by the above ratio, we get the number of needed chaperones, like this:
[tex]126\times\frac{1}{10}=\frac{126\times1}{10}=\frac{126}{10}=12.6[/tex]Rounding to the nearest integer, the number of chaperones needed for the trip is 13
15. Tarik's solution for the inequality 10 - 4x > 2 is shown below. Whichstatement about Tarik's solution is correct?
Answers
The given inequality is
[tex]10-4x>2[/tex]First, we subtract 10 from each side.
[tex]\begin{gathered} 10-10-4x>2-10 \\ -4x>-8 \end{gathered}[/tex]Then, we divide the inequality by -4.
[tex]\begin{gathered} \frac{-4x}{-4}<\frac{-8}{-4} \\ x<2 \end{gathered}[/tex]Hence, the solution is all real numbers less than 2.Therefore, Tarik's solution is not correct because he did not reverse the inequality.The first option is correct.SHOW ALL WORK PLEASE! A right cylinder has a radius of 7 cm and a height of 3 cm.
Answer the following questions and make sure to show all your work.
(a) Find the Surface Area of the cylinder.
(b) Find the Volume of the cylinder.
(c) If you wanted more volume in your cylinder, which of these two ideas would give the most Volume?
1. Doubling the radius to 14 cm, while the height remains 3 cm.
-OR
2. Tripling the height to 9 cm, while the radius remains 7 cm.
Answers
Answer:
(a) Surface Area = 140 π cm² = 438.823 cm²
(b) Volume = 147 π cm³ = 461.814 cm³
(c) Doubling the radius, keeping height constant results in more volume
Step-by-step explanation:
Volume of a cylinder with base radius r and height h is given by
V = π r² h
Surface Area A = 2 π r(h + r)
Given r = 7 cm, height = 3cm
(a) Surface Are = 2 x π x 7(7 + 3) = 14 π (10) = 140 π cm² =438.823 cm²
(b) Volume = π x 7² x 3 = 147 π = 461.814 cm³
(c) If we double the radius to 14 cm with height at 3 cm (Option 1), the volume would quadruple to 4 because the new radius is twice the old radius and since volume is proportional to square of radius, new volume will be (2r)² = 4r² where r is the old radius
So new volume = 4 x 461.814 = 1,847.256 cm³
If we triple the height to 9 cm, keeping radius at 7, the volume would only triple since it is directly proportional to height
So new volume = 3 x 461.814 = 1,385.442 cm³
So to get more volume, idea 1, doubling the radius works
A . Explain the meaning of the statement f (7) = 5. o The amount of garbage produced per week by a city with population 7,000 is 5 tons. o The amount of garbage produced per week by a city with population 5,000 is 7 tons. o The amount of garbage produced per week by a city with population 70,000 is 5 tons.o The amount of garbage produced per week by a city with population 5 is 7 tons.o The amount of garbage produced per week by a city with population 7 is 5 tons.
Answers
It will be as follows:
*The amount of garbage produced per week by a city with a population of 7000 is 5 tons. [Assuming IS ton that would be 5000 Kg, so the relationship would be linear, ie: for each 1000 population, there will be produced 1 ton (1000Kg)]
Kevin and Randy Muise have a jar containing 53 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $5.65. How many of each type
of coin do they have?
The jar contains
The jar contains
quarters.
nickels.
Answers
The number of quarters and nickles, Kevin and Randy Muise have a jar containing 53 coins, is 15 quarters and 38 nickles.
What is described as the linear equation in two variables?A linear equation in 2 factors is one that is written in the form ax + by + c=0, where a, b, and c are real numbers as well as the coefficients of x and y, i.e. a and b, are not equal to zero.Let 'x' be the number of quarters.
Let 'y' be the number of nickels.
The total number of coins in a jar are 53.
x + y = 53
x = 53 - y .....eq 1
The total value of the coin is $5.65.
1 doller = 0.25 quarters.
1 doller = 0.05 nickle.
Thus,
0.25x + .05y = 5.65
Multiply both sides by 100 to remove the decimal points.
25x + 5y = 565
Put the value of x from eq 1.
25(53 - y) + 5y = 565
1325 - 25y + 5y = 565
-20y = -760
y = 38
x = 53 - y = 53 - 38
x = 15 quarters
Thus, the number of quarters and nickles Kevin and Randy Muise have a jar containing 53 coins, is 15 quarters and 38 nickles.
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Use the two-way frequency table to calculate the probability that the person is a democrat, given theact that the person supports the issue, P(democrat | supports the issue).P(democrat | supports the issue) =(Type an integer or decimal rounded to the nearest hundredth as needed.)
Answers
In order to calculate the probability of P(democrat | supports the issue), we can use the following formula for conditional probability:
[tex]\begin{gathered} P(A|B)=\frac{P(A\cap B)}{P(B)} \\ P(democrat|supportstheissue)=\frac{P(democrat\cap supportstheissue)}{P(supportstheissue)} \end{gathered}[/tex]In the right side of the equation, instead of using the probability, we can use the value in the frequency table.
So we have:
[tex]P(democrat|supportstheissue)=\frac{24}{58}=\frac{12}{29}=0.41[/tex]this is very hard for me
Answers
Answer:sorry Im lazy XD but try method down below
Step-by-step explanation:
Try this.
The order or operations which is
1 Parentheses
2 Exponents
3 Multiplication
4 Division
5 Addition
6 Subtraction
Should help find answer. Good luck!
Answer:-39
step- by-step:Subtract the terms12−(1+2(−(−5))2)
Multiplying or dividing an even number of negative terms equals a positive12−(1+2×52)
SimplifyMore Steps 12−(1+50)
Add the numbers12−51
Solution is −39
Select the correct texts in the passage,Julian factored the expression 224 +223 - 22 - 1. His work is shown.At which step did Julian make his first mistake, and which statement describes the mistakerIStep 1224 +223 22= (2:13 + 2x2 - 1 - 1)(232(0 + 1) - 1(– 1)2 (212 1)(x + 1)(x - 1)Step 2Step 3Julian should have factored (2x2 - 1) as a difference of squares,Julian incorrectly factored -1 from the second group of terms.Julian should have factored 2x from all terms instead of x.Julian incorrectly factored 2x2 from the first group of terms.O 2021 Edmentum. All rights reserved.
Answers
Julian factored incorrectly the -1 from the second group of terms.
The correct way is:
[tex]\begin{gathered} 2x^4+2x^3-x^2-x \\ =x(2x^3+2x^2-x-1) \\ =x(2x^2(x+1)-1(x+1)) \end{gathered}[/tex](Question in file need help asap) What is the constant of proportionality?
Answers
Answer:
16
Step-by-step explanation:
the table below shows the number of computers or laptops owned by ten different families on the back of this paper create a line plot displaying the data 3 ,2,4,1,5,3,1,2,3,3
Answers
Families and computers
Graph a line plot
please tell me what I'm doing wrong. I'm still not understanding the subject after 1 hour of practicing.
Answers
Here, we want to aolve for the value of x
We proceed by cross-multiplying
We have this as follows;
[tex]\begin{gathered} \frac{1}{x+3}\text{ = }\frac{x+10}{x-2} \\ \\ 1(x-2)\text{ = (x+3)(x+10)} \\ x-2\text{ = x(x+10) + 3(x+10)} \\ x-2=x^2+10x+3x+30 \\ x-2=x^2+13x+30 \\ x^2+13x-x+30+2\text{ = 0} \\ x^2+12x+32\text{ = 0} \\ x^2+4x+8x+32\text{ = 0} \\ x(x+4)\text{ + 8(x+4)= 0} \\ (x+4)(x+8)\text{ = 0} \\ x\text{ + 4 = 0 or x + 8 = 0} \\ x\text{ = -4 or -8} \end{gathered}[/tex]