C
Finding Angles Measures
61⁰
A
E
61°
B
D
LL
Find the following angle measures.
m/EAD=
m/CAB=
✓ Done
Answers
The measure of angle ∠EAD is 29° and ∠CAB is 119°.
What are angles?In Euclidean geometry, an angle is a shape created by two rays that share an endpoint and are referred to as the angle's sides and vertex, respectively. The plane that contains the rays contains the angles created by two rays.Depending on the measurement, there are various angles in geometry. Basic angles are identified by their names: acute, obtuse, right, straight, reflex, and full rotation.So, according to the image ∠CAF is 180°.
And, ∠CAF = ∠CAE + ∠EAD + ∠DAFObtain, ∠EAD as follows:
∠CAF = ∠CAE + ∠EAD + ∠DAF180 = 61 + ∠EAD + 90180 = 151 + ∠EAD180 - 151 = ∠EAD∠EAD = 29°Similarly, ∠CAF = ∠CAB + ∠BAF
Obtain, ∠CAB as follows:
∠CAF = ∠CAB + ∠BAF180 = ∠CAB + 61180 - 61 = ∠CAB∠CAB = 119°Therefore, the measure of angle ∠EAD is 29° and ∠CAB is 119°.
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The correct question is given below:
Find the following angle measures.
mEAD =
mCAB =
Related Questions
Describe the Method and Operation
Answers
Given that
[tex]\begin{gathered} (\frac{5n^6}{m^{-3}n^2})^2 \\ \text{According to the law of indies,} \\ (\frac{a}{b})^2\text{ = }\frac{(a)^2}{(b)^2} \\ (\frac{5n^6}{m^{-3}n^2})\text{ = }\frac{(5n^6)^2}{(m^{-3}n^2)^2} \\ \text{According to the law of indicies again,} \\ (a^x)^y=a^{x\cdot y} \\ =\text{ }\frac{(5n^{6\text{ x 2}})}{(m^{-3\cdot2}n^{2\cdot2})} \\ =\text{ }\frac{5n^{12}}{(m^{-6}n^4)} \\ \text{According to the law of indices} \\ x^{-1}\text{ = }\frac{1}{x} \\ =5^{}n^{12}\cdot n^{-4}\cdot m^6 \\ =5n^{12\text{ - 4}}m^6 \\ =5n^8m^6 \end{gathered}[/tex]70x+5=4, because I cannot think right now.
Answers
[tex]70x = 4 - 5 \\ 70x = - 1 \\ \frac{7 0x}{70} = \frac{ - 1}{70} \\ x = - \frac{1}{70} [/tex]
HOPE THIS HELPS.
what is 10+10+10-10+10-10^1
Answers
Answer:
20
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
What is the quotient when (x+3) is divided into the polynomial 2x^2+x-15
Answers
The value of the quotient of the polynomials is 2x - 1
How to determine the quotient of the polynomials?The polynomials are given as
2x² + x - 15
x + 3
Where
Dividend = 2x² + x - 15
Divisor = x + 3
The quotient of the polynomials is calculated as
Quotient = Dividend/Divisor
Substitute the known values in the above equation
So, we have
Quotient = (2x² + x - 15)/(x + 3)
Factorize the numerator
Quotient = (x + 3)(2x - 1)/(x + 3)
Cancel out the common factors
Quotient = 2x - 1
Hence, the quotient is 2x - 1
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ABC is a triangle.
ADC is a straight line with BD perpendicular to AC.
AB = 8 cm
BC = 12 cm
Angle ABD = 60.
Calculate the length of DC.
Give your answer to 3 significant figures
Answers
The length of segment DC is given by the law of sines and trigonometric ratios as approximately 11.3 cm
What is the law of sines?The law of sines states that in a triangle, the ratio of the sine of an interior angle of a triangle to the length of the side opposite the angle is constant.
The given parameters are;
The figure ABC is a triangle
The figure ADC is a straight line segment
Segment BD is perpendicular to segment AC
The length of segment AB = 8 cm
Length of segment BC = 12 cm
The measure
[tex] \angle ABD = 60^{ \circ} [/tex]
Required;
The length of segment DC
Solution;
[tex] \angle ADB = 90^{ \circ} [/tex]
Definition of segment BD being perpendicular to segment AC
[tex] \angle BAC = 90^{ \circ} - 60^{ \circ} = 30^{ \circ}[/tex]
Using the law of sines, we have;
[tex]AD = AB × sin( \angle ABD) [/tex]
A vertex of the triangle from the question is point B
Which gives;
AD = 8 × sin(60°) = 4•√3
Similarly, from the law of sines, we have;
[tex]\displaystyle{\frac{BC}{sin ( \angle BAC)} = \frac{AB}{sin ( \angle BCA)} } [/tex]
Which gives;
[tex] \displaystyle{\frac{12}{sin ( 30^{ \circ})} = \frac{8}{sin ( \angle BCA)} } [/tex]
[tex] \displaystyle{ sin ( \angle BCA) = \frac{sin ( 30^{ \circ}) \times 8}{12}= \frac{1}{3} }[/tex]
[tex] \displaystyle{ \angle BCA = arcsine \left(\frac{1}{3}\right) }[/tex]
[tex] \displaystyle{DC= 12 \times cos\left(arcsine \left(\frac{1}{3}\right)\right) = 8\cdot \sqrt{2}}[/tex]
Therefore, DC = 8•√2 ≈ 11.3
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[tex][(1 + \frac{1}{2})}^{2} -2[/tex]
Answers
The value of the expression as in the task content is; 1/4.
What is the value of the expression given in the task content?It follows from the task content that the value of the expression is to be determined.
Hence, since the expression whose value is required to be determined is ; (1 + (1/2))² - 2.
It follows from PEMDAS guidelines that the parentheses be solved first so that we have;
(3/2)² - 2........After solving the parentheses.
Next, the exponent should be solved as follows;
= (9/4) - 2.
And finally, by solving the subtraction; we have;
= 1/4 = 0.25.
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Find the Domain of each expression
Answers
Answer:
[tex]-1 \le x\le1.5[/tex]
Step-by-step explanation:
The expression we're given, we want both to be defined because how can you add a defined number to an undefined number?
Square roots only have real solutions for positive numbers and zero
So let's set up an inequality for both square roots
[tex]2x+2\ge0\\\\6-4x\ge0[/tex]
Let's solve the first one
[tex]2x+2\ge 0\\2x\ge-2\\x\ge-1[/tex]
this is the domain of the "first expression"
let's solve the second one
[tex]6-4x\ge 0\\-4x\ge -6\\x\le 1.5[/tex]
We want them to overlap, so we get a compound inequality: [tex]-1 \le x\le1.5[/tex]
since we want both of the expressions to be defined to define the entire thing.
The dimensions of a professional basketball court are 50 ft by 94 ft.
A game maker is producing a video basketball game and the court
must be reproduced to fit on a computer screen that is 13 inches by 10 1/2
inches. Which of the following scales is the greatest they can
use to fit on the screen?
a. 1/2 b. 1/8 c. 1/100 d. 1/150
Answers
help
(3x+4)(2x+3)
have a nice day :)
Answers
Answer:
[tex]6x^{2} +17x+12[/tex]
Step-by-step explanation:
(3x+4)(2x+3)
use the FOIL method: that is, multiple first pair, outer pair, inner pair, then last pair:
(3x+4)(2x+3)
(3x × 2x) + (3x × 3) +(4 × 2x) + (4 × 3)
[tex]6x^{2} +9x+8x+12[/tex]
= [tex]6x^{2} +17x+12[/tex]
There are five Reeses, ten Snickers, and
twenty five Milky Ways in the bag of candy.
What does the ratio of 5 to 9 compare?
Answers
Resource of Information:
Quizlet: Rates and Ratios by Jeanna_ LawrenceTMS
If you buy 40 m of timber at a cost of $200, what is the cost per metre?
Answers
Answer: a meter of timber is 5$
Answer:
Rs5
Step-by-step explanation:
40m =Rs 200
Therefore, 1m = 200/40
= Rs 5
what is 4/7 divided by 4/23
Answers
Answer:
wait nvm it's 23 over 7 as far as I know
f(x) = -8x + 20; 5 – 2[f(-1)]
Answers
The value of the function at the given value of x = -1 is 5 - 2[f(-1)] = -51
How to evaluate the function at the given value?The equation of the function is given as
f(x) = -8x + 20
The function to calculate is given as
5 - 2[f(-1)]
So, we start by calculating the value of the function at x = -1
This is represented as 'f(-1)
So, we have the following equation
f(-1) = -8(-1) + 20
Evaluate the product
So, we have the following equation
f(-1) = 8 + 20
Evaluate the sum
So, we have the following equation
f(-1) = 28
Substitute f(-1) = 28 in the expression 5 - 2[f(-1)]
So, we have
5 - 2[f(-1)] = 5 - 2 x 28
Evaluate the product
5 - 2[f(-1)] = 5 - 56
Evaluate the difference
5 - 2[f(-1)] = -51
Hence, the value is -51
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Answer all the questions for brainliest all info you need is in the photo please help asap
Answers
Total of 10 and $ total of $0.85. The place value denotes a word, whereas the total value denotes a figure. In mathematics, ten numbers are known as symbols or digits.
What is meant by Summation?The sum of the digit and its place value is the total value. Example 1: In the number 58439, what is the place value of digit 4? As a result, digit 4's place value is Hundreds. Market capitalization is the value of a company as determined by the stock market. It is defined as the sum of all outstanding shares' market values. Multiply the number of outstanding shares by the current market value of one share to calculate a company's market cap.
Therefore,
a # total of 10
a $ total of $0.85
· Since we have 2 unknowns, we need to set up a System of 2 Equations.
· A System of 2 Equations helps us solve a situation with 2 Unknowns.
Let's set up our 2 equations for # and $.
· For the # equation:
Let n = # of nickels
Let d = # of dimes
So, n + d = 10
· For the $ equation, we have to assign a "value" to each of the coins:
A nickel is worth 5 cents or $0.05
A dime is worth 10 cents or $0.10
· They told us we have 5 cents, a specific # of times + 10 cents, a certain # of times, that = $0.85
So, $0.05n + $0.10d
= $0.85
To solve this, we have to have just 1 unknown, meaning just 1 variable.
· We represent one of the variables in terms of the other. But, which one?
· Well, since they are asking for # of dimes, let's define a nickel in the duration of a dime.
· Let's apply this in the simpler # equation:
So, n + d = 10
becomes n = 10 - d
· So now, in our $ equation, we can just replace "n" with "10 - d", and then solve for d, which is the # of dimes!
$0.05n + $0.10d = $0.85
$0.05(10-d) + $0.10d = $0.85
$0.5 - $0.05d + $0.10d = $0.85
$0.50 + $0.05d = $0.85
$0.05d = $0.35
d = 7
Check this with the # equation:
n + d = 10
n + 7 = 10
n = 3
Does that make sense? Let's see:
3 nickels + 7 dimes = $0.85 ?
3($0.05) + 7($0.10) = $0.85
$0.15 + $0.70 = $0.85
$0.85 = $0.85
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estimate the square root of 7 to the nearest whole number.
Answers
PLEASE HELP ME SOMEONE THAT'S GOOD WITH MATH? BC I CANT UNDERSTAND THIS QUESTION
Question 3
Let f(x) = 4^x and g(x) = 4^x + 1 - 3.
Which transformations are needed to transform the graph of f(x) to the graph of g(x)?
Select EACH correct answer.
A. Horizontal translation 1 units right.
B. Horizontal translation 3 units right.
C. Vertical translation 3 units down.
D. Vertical translation 1 unit down.
E. Horizontal translation 1 unit left.
F. Vertical translation 3 units up.
Answers
We can see that function g(x) is a translation of one unit to the left and 3 units downwards of f(x), thus, the correct options are:
C and E.
What transformations are applied to the function f(x)?Here we have the two functions:
f(x)
g(x) = 4^(x + 1) - 3
And we know that g(x) is a translation of f(x)
Remember that the translations works as follows:
Vertical translation of N units:
g(x) = f(x) + N
If N > 0, the translation is upwards.
If N < 0, the translation is downwards.
Horizontall translation of N units:
g(x) = f(x) + N
If N > 0, the translation is to the left
If N < 0, the translation is to the right.
In this case, we can write g(x) as:
g(x) = f(x + 1) - 3 = 4^(x + 1) - 3
So we will have a translation of one unit to the left and 3 units downwards.
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At a plant, 160,000 tons of petrochemicals are required to produce 100,000 tons of plastic. how many tons of petrochemicals are required to produce 5,000 tons of plastic?
Answers
Through the unitary method, we get that 8000 tons of petrochemicals are required to produce 5,000 tons of plastic.
A problem can be solved using the unitary method by first determining the value of a single unit, and then multiplying that value to determine the required value.
Given :
160,000 tons of petrochemicals are required to produce 100,000 tons of plastic.
160,000 tons of petrochemicals produces = 100,000 tons of plastic.
To produce 1 ton of plastic, the required amount of petrochemicals = [tex]\frac{160,000}{100,000} = \frac{8}{5}[/tex] tons...........equation (1)
Let x be the tons of petrochemicals required to produce 5,000 tons of plastic.
Multiplying 5,000 tons on both sides of the equation, we get :
To produce 5,000 tons of plastic =[tex]\frac{8}{5}*5000 = 8000[/tex] tons of petrochemicals
Hence, 8000 tons of petrochemicals are required to produce 5,000 tons of plastic.
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Every spring, Jennifer plants colorful flowers in her garden. This year, she decides to plant petunias. She buys them at the garden store, brings them back home, and starts planting. There is a proportional relationship between the amount of time (in minutes) Jennifer has been working in her garden, x, and the number of petunias she has planted, y
Answers
The graph shows the proportional relationship between the amount of time (in minutes). Points (6,3) represent the time required to plant 3 petunias will be 6 minutes.
What is a proportional relationship?It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
It is given that there is a proportional relationship between the amount of time (in minutes) Jennifer has been working in her garden, x, and the number of petunias she has planted, y
Points 6 represent the time required to plant 3 petunias i.e. 6 minutes.
Points 3 represent the number of petunias i.e 3.
This indicates that after spending 6 minutes in his garden, he plants 3 petunias.
Thus, the graph shows the proportional relationship between the amount of time (in minutes). Points (6,3) represent the time required to plant 3 petunias will be 6 minutes.
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-4t=20 what does t equal
Answers
Answer:
divide -4 from 20 so t is -5
Step-by-step explanation:
Answer:
t=-5
Step-by-step explanation:
divide both sides by -4 now we have t=-5
Prove that the opposite angles of a parallelogram are equal.
Answers
The opposite angles of a parallelogram are equal.
x + y = a+ b
Let's consider a quadrilateral ABCD which is a parallelogram with AC as its diagonal.
We know, in parallelograms opposites' sides are parallel.
So, AB∥DC and AD∥BC
Since AB is parallel to DC and AC is the transversal.
By alternate angles,
∠BAC = ∠DCA
y = a -----------------(1)
Similarly, AD is parallel to BC and AC is the transversal.
The alternate angles,
∠DAC = ∠BCA
x = b -----------------(2)
Adding equations ( 1 ) and ( 2 ),
∠BAC + ∠DAC = ∠DCA + ∠BCA
∠BAD = ∠DCB
x + y = a + b
Similarly, we can prove, ∠ADC=∠ABC
Hence proved, opposite sites of a parallelogram are equal.
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Mia has 12 boxes of chocolate chip cookies and 24 boxes of sugar cookies. Each box of chocolate chip cookies has 36 cookies. Each box of sugar cookies has 84 cookies. Mia says she has about 1,800 cookies in all. Is her answer reasonable? Explain.
Yes, because (12 x 20) + (40 x 80) = 3,400
Yes, because (12 x 80) + (40 x 40) = 2,560
No, because (12 x 40) + (20 x 80) = 2,080
No, because (12 x 80) + (20 x 40) = 1,760
Answers
Answer:
The answer given by Mia is not reasonable cause, when we sum up the data given by her we will conclude that the expression should be like (12*36) + (24*84) = 1800.
Step-by-step explanation:
Mia has 12 boxes of chocolate chip cookies and 24 boxes of sugar cookies.
Each box of chocolate chip cookies has 36 cookies.
Each box of sugar cookies has 84 cookies.
So, the total number of chocolate chips cookies will be = 12 * 36 ----(i)
And the total number of sugar cookies will be = 24 * 84 -----(ii)
As Mia says she has about 1,800 cookies in all.
So, we can write (i) and (ii) combined as,
(12*36) + (24*84) = 1800
The answer given by Mia is not reasonable cause, when we sum up the data given by her we will conclude that the expression should be like (12*36) + (24*84) = 1800.
Explanation: No, her answer is not reasonable.
Step by Step solution:
According to the given information, Mia has 12 boxes of chocolate chip cookies and 24 boxes of sugar cookies.
Now, each box of chocolate chip cookies has 36 cookies which means she has (36 × 12) = 432 chocolate chip cookies in total, using the unitary method.
Also, each box of sugar cookies has 84 cookies which means she has (84 × 24) = 1008 sugar cookies in total, using the unitary method.
Mia will then have with her in total of [(36 × 12) + (84 × 24)] = 1440 cookies.
It is an incorrect fact that Mia says that she has about 1800 cookies in total.
Hence, Mia has 1440 cookies in total.
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What’s the range of 4x+5?
Answers
Answer:261
Step-by-step explanation:
4x4x4x4=4x4=16\16x4=64x4=256\256+5=261
There were 6 gallons of water in Shivani's bathtub. Then 0.64 gallons drained out. How much water is left in the bathtub?
Answers
Answer: 5.36 gallons
Step-by-step explanation:
0.64 gallons [liquid] are equal to 0.16907 litre
6 - 0.64 = 5.36
a. Graph f(x)=left brace7x−12if x≤3x2if x>3b. Find f(1) and f(5).c. State the domain of the function.
Answers
Given:
The function is,
[tex]\begin{gathered} f(x)=7x-12,\text{ x}\leq3 \\ =x^2,x>3 \end{gathered}[/tex]a) The graph of the given function us,
Answer: option B)
b) f(1) and f(5) is,
[tex]\begin{gathered} \text{For x=1,} \\ f(x)=7x-12\text{ , if x}\leq3 \\ f(1)=7(1)-12=-5 \\ \text{For x=5,} \\ f(x)=x^2,\text{ if x>3} \\ f(5)=5^2=25 \end{gathered}[/tex]Answer:
[tex]\begin{gathered} f(1)=-5 \\ f(5)=25 \end{gathered}[/tex]c) the domain of the function is,
[tex]undefined[/tex]the midpoints of the adjacent sides of a square are connected to form a new square. what is the number of inches in the perimeter of the new square if the perimeter of the original square is 16 inches? express your answer in simplest radical form.
Answers
Therefore, [tex]8\sqrt{2}[/tex] number of inches in the perimeter of new square if the perimeter of the original square is 16 inches.
What is perimeter?
The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
Given: The midpoints of the adjacent sides of a square are connected to form a new square. The perimeter of the original square is 16 inches.
As perimeter is 16 in, so the side is 4 in.
Each side of the new square is the hypotenuse of an isosceles right triangle with legs of length 2 inches.
[tex](2 in)^2 + (2 in)^2 = s^2\\s^2 = 8 in^2\\s = 2\sqrt{2} in[/tex]
Therefore,
Perimeter = 4s
[tex]P = 4(2\sqrt{2}) = 8\sqrt{2} in[/tex]
Therefore, [tex]8\sqrt{2}[/tex] number of inches in the perimeter of new square if the perimeter of the original square is 16 inches.
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Please help me i can't seem to get it
Answers
Answers:
Horizontal lineGraph rises and is steeperGraph falls and is steeperGraph rises and is less steepGraph falls and is less steep=======================================================
Explanation:
Think of a roller coaster. A sharp drop is where we have a very steep decline. The steeper the line, the more rapid the drop.
The same can be said for when the graph increases as well.
Horizontal portions of the graph are when the elevator isn't moving. The x value (time) is always moving forward of course, but the y value (height of the elevator) is not changing.
On Monday, 473 students went on a trip to the zoo. All 8 buses were filled, and 9 students had to travel in
cars. How many students were in each bus?
Answers
Answer:
58.
Step-by-step explanation:
The number of students who travelled by bus = 473 - 9 = 464.
So, the number of students in each bus = 464/8
= 58.
Hey can somebody help me with this math homework you have to solve it step by step so can anybody help?
Answers
symkiiiussksznzznzznzbswwy
PLEASE HELP I WILL GIVE BRAINLIEST TO WHOEVER IS CORRECT :)
Answers
Answer:
its c
Step-by-step explanation:
not sure how to explain it
The frequency table shows the scores from rolling a dice.
Score
1
2
3
4
5
6
Work out the range.
Frequency
8
4
5
5
7
8
Answers
Answer:
I don't know
Step-by-step explanation:
There is none
