To solve this problem, we need to use the theorem which states that the sum of angles in a triangle is equal to 180 degrees. The value of m<FED is equal to 120 degrees. From the diagram given, m<CBD is complimentary with m<BED
Sum of Angles in a TriangleThe value of m<FED can be calculated by summing the entire entity and equating to 180 degrees.
Data;
m<FED = (16x - 8)m<EFD = 35m<EDF = 2x + 9[tex]35+(16x-8)+(2x+9) = 180[/tex]
Reason: The sum of angles in a triangle is equal to 180 degrees.
But we would need to solve for the value of x.
[tex]35+(16x-8)+(2x+9) = 180\\35 + 16x - 8 + 2x + 9 = 180\\36+ 18x = 180\\180 - 36 = 18x\\18x = 144\\x = \frac{144}{18} \\x = 8[/tex]
Let's substitute the value of x into m<FED
[tex]m < FED = 16x - 8\\x = 8\\m < FED = 16(8) - 8 \\m < FED = 128 - 8\\m < FED = 120^0[/tex]
The value of m<FED is equal to 120 degrees.
From the diagram given, m<CBD is complimentary with m<BED
Learn more on sum of angles in a triangle here;
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Jesse earns 9 each time he washes a car. He wants to buy a game that costs 30 How many cars does, Jesse need to wash to earn enough money to buy the game?
Answer:
Jesse would need to wash four cars.
Step-by-step explanation:
9 times 4 is 36, so Jesse would need to wash 4 cars, and if he washed only 3 cars, you would do 9 times 3 which would get you to 27, which is too little for the game he wishes to buy.
HELP for (ii)…..how do we find a?
By using the information given on the graph, we can see that a = 3.
How to find the value of a?
Here we have an exponential of the form:
[tex]y = p*a^x[/tex]
And by looking at the graph, it passes through (0, 4) and (2, 36), so we can write:
[tex]4 = p*a^0\\\\36 = p*a^2[/tex]
From the first equation we get that p = 4, replacing that on the second one we get:
[tex]36 = 4*a^2\\\\36/4 = 9 = a^2\\\\\sqrt{9} = 3 = a[/tex]
So we conclude that a = 3.
If you want to learn more about exponential equations:
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a pentagon with sides 3 4 5 6 and 7 has area 48m. find the perimeter of a similar pentagon whose area is 27m
i give brainliest to first answer
Answer & step-by-step explanation:
Please see image attached below:
Is this function linear or exponential?
x y
0
–
5
1
–
10
2
–
20
3
–
40
4
–
80
The function represented by the table of values is an exponential function
How to determine the function type?The table is given as:
x 0 1 2 3 4
y 5 10 20 40 80
On the table, we have the following highlights:
As x increases by 1y multiplies by 2This means that the function has a common ratio
Only exponential functions have a common ratio
Hence, the function is an exponential function
Read more about exponential function at:
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Will mark brainliest to anyone who can answer
help will mark Brainliest
Answer:
Your answer is B.
Step-by-step explanation:
n>0 means n is greater than 0.
It is an open circle that is pointing to the right for positive values greater than 0.
Answer:Try B.
Step-by-step explanation:
what is 2 90/100 in decimal form
Answer:
2 90/100 in decimal form would be 2.9.
Help plsss! I have no clue how to do this
Answer:
4
Step-by-step explanation:
Finding the mean :
105 + 106 + 120 + 111 + 109 + 104 + 110 + 115 / 8880/8110Absolute Mean Deviation of each term :
|110 - 105| = 5|110 - 106| = 4|120 - 110| = 10|111 - 110| = 1|110 - 109| = 1|110 - 104| = 6|110 - 110| = 0|115 - 110| = 5M.A.D. = 5 + 4 + 10 + 1 + 1 + 6 + 0 + 5 / 8
32/84Help me please , you can ignore question number 1 !!!
Answer:
See below ~
Step-by-step explanation:
Q2
Lobster = 3 veg choices x 3 beverages9 outcomesQ3
Chicken and chopsuey = 3 beverages3 outcomesQ4
4 main dishes x 3 veg choices x 4 beverages48 menusNeed Help ASAP
y = 2x − 5
y = -6x + 3
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution.
Part B: Check your work. Verify your solution and show your work.
Part C: If the two equations are graphed, what does your solution mean?
Put y 's value in second equation
2x-5=-6x+32x+6x=3+58x=8x=1And
y=2(1)-5=-3Solution is (1,-3)
Verification
-3=2(1)-5-3=2-5-3=-3Verified
Find the remainder when 2x^3-5x^2+x-3 is divided by (x-1)
Answer:
-7.
Step-by-step explanation:
Using the Remainder Theorem :
If f(x) is divided by x-1 then the remainder is f(1), so
The required remainder
= f(1) = 2(1)^3 - 5(1)^2 + (-1) - 3
= 2 - 5 - 1 - 3
= -7.
Answer:
remainder = -5
Step-by-step explanation:
Divide using long division:
[tex]\large \begin{array}{r}2x^2-3x-2\phantom{)}\\x-1{\overline{\smash{\big)}\,2x^3-5x^2+x-3\phantom{)}}}\\\underline{-~\phantom{(}(2x^3-2x^2)\phantom{-b))))))}}\\0-3x^2+x-3\phantom{)}\\ \underline{-~\phantom{()}(-3x^2+3x)\phantom{-b}}\\ 0-2x-3\phantom{)}\\\underline{-~\phantom{()}(-2x+2)}\\ -5\end{array}[/tex]
The table below shows the distribution of votes for Student Government President elections.
1.What is the probability that a junior voted for Dao?
2.Voted for Wolber
3.Votes for Keegan and was from the sophomore class.
Answer:
1 out of 3 people vote for junior
Step-by-step explanation:
what valur of x makes the equation below true? 9^5 * 9^7=9^x
Answer:
x=12
Step-by-step explanation:
(9^5)(9^7)=9^x
282429536481=9^x
Step 1: Flip the equation.
9^x=282429536481
Step 2: Solve Exponent.
9^x=282429536481
log(9^x)=log(282429536481)(Take log of both sides)
x*(log(9))=log(282429536481)
x=log(282429536481)/log(9)
x=12
convert from decimal to fraction(
all steps) 0.36
[tex]0.36[/tex]
Answer:
this gives 36/100 that is the fraction for the decimal
Answer:
9/25
Step-by-step explanation:
Step 1. Multiply by 100 :
0.36 × 10036Step 2. Divide by 100 and leave in fractional form :
36/100Step 3. Simplify by dividing throughout 4 :
(36/4)/(100/4)9/25
y
is directly proportional to
x
2
.
If
y
=
112
when
x
=
4
find
y
when
x
=
9
Answer:
252
Step-by-step explanation:
Hope this helped you, and have a good day! (Please tell me if the answer is incorrect and I will try and correct it as soon as possible)
Y=3x+2
X
-2
-1
0
1
2
Answer:
x y ordered pair
-2 3(-2) + 2 = -4 (-2, -4)
-1 3(-1) + 2 = -1 (-1, -1)
0 3(0) + 2 = 2 (0, 2)
1 3(1) + 2 = 5 (1, 5)
2 3(2) + 2 = 8 (2, 8)
The question is attached.
Answer:
A
Step-by-step explanation:
Please see attached, I have colour coded for your convenience
What's the distance between (0,2) and (0,8)?
Answer:
6 units
Step-by-step explanation:
The distance between two points can be calculated with the formula
[tex]\boxed{\textcolor{steelblue}{\text{Distance between 2 points}= \sqrt{(y_1 - y_2)^{2} + (x_1 - x_2)^{2} } }}[/tex]
However, since (0, 2) and (0, 8) have the same x coordinate of 0, the distance between them is the difference in their y-coordinates.
Distance between (0, 2) and (0, 8)
= 8 -2
= 6 units
13. Represent Write three different fractions
that each match the shaded part of the
drawing.
Answers:
8/12
2/3
4/6
============================================================
Explanation:
There are 8 pizza slices shaded out of 12 total.
One fraction we can form is 8/12
Divide each part by the GCF 4
8/4 = 212/4 = 3This means 8/12 is the same as 2/3
Check out the image below to see how 8/12 and 2/3 are the same. Refer to figure 1. We have 2 slices shaded out of 3 total.
Then check out figure 2 to see how 2/3 and 4/6 are the same. By extension, this means that 8/12 and 4/6 are the same. Figure 2 shows 4 shaded slices out of 6 total.
There are infinitely many ways we can split up this pie, so there are infinitely many fractions to write as the answers.
Simplify each expression. Write your answer as a complex number.
4i+(2+8i)
(2-7i) - (5-3i)
(5-4i)+(2-7i)
(-3-4i) - (-3+5i
Answer:
1. 2 + 12i
2. -3 - 4i
3. 7 - 11i
4. -9i
Step-by-step explanation:
just add and subtract like 'i' is a variable and make sure the answer is in the form a+bi
What percent of 17 is 3?
Answer: 3 is 17.6471% of 17
Step-by-step explanation:
what is "the power" of something (mathematically).
The power of a number says how many times to use the number in a multiplication.
--
For instance 6 to the power of 2
This means
6²Which is also equal to 36
is (x-2) a factor of f(x)=x^3 -8x^2+14x-4?
Answer:
Yes
Step-by-step explanation:
Use synthetic division
2 | 1 -8 14 -4
____2 -12_4__
1 -6 2 | 0
Thus, [tex](x^3-8x^2+14x-4)\div(x-2)=x^2-6x+2\:\text{R}0[/tex], so [tex](x-2)[/tex] is indeed a factor of f(x) since there's no remainder.
A survey of 100 students was taken. It was found that 60 students watched sports, and 34 of these
students did not like pop music. or the students who did not water sports, 70% liked pop music.
Complete the two-way frequency table.
Answer:
[tex]\left[\begin{array}{ccc}38&28&66\\22&12&34\\60&40&100\end{array}\right][/tex]
Step-by-step explanation:
70% of 40 is 28, with that number you can obtain the other data.
What I got is in the image below.
I got the rest of the numbers by subtracting and adding. I also managed to find the 70% by multiplying 40 (I subtracted 60 and 100 to get the total number of people who don't watch sports) by 0.7, getting that 28 of people who don't watch sports liked pop music. From there, getting the rest of the numbers is just a whole lot of adding and subtracting. I subtracted 60 and 34 to get the number of people who watch sports and like pop, which is 26. I also added 26 and 28 to get the total of people who like pop, which is 56. To get 46 for total number of people who don't like pop, I subtracted 40 and 28 which equals 12 (number of people who don't watch sports but don't like pop), then added 34 + 12 to get 46.
3.1 How will ensure that cooperative learning In Mathematics class take place
3.2 use polya's four steps to solve the following tutorial showing all the steps:
Explain each step using the given question.
3.2.1 The sum of three consecutive numbers is equal to 39. Determine the three numbers
3.2.2 A father is five times as old as his daughter. In five years' time he will be three times as old as his daughter. Find both the ages now.
Step-by-step explanation:
The father is presently 25 years old.
And his daughter is presently 5 years old.
Therefore, the father is 5 times older than his so. Currently.
In 5 years, the father will be 30 years old and the son will be 10 years old. So the father will be 3 times the daughters age.
I’m just stuck
Please help
Answer:
y = 5x
Step-by-step explanation:
y = 5x
Where, y = amount of money library receives and x = number of books sold.
So if 1 book is sold, y = 5 (1) = 5, which means y =5 (this matches answer on row 1 which says 1 book sold makes 5 bucks.)
What is the slop of a line that passes through the points (-3,2) and (-6,5)
DUE BEFORE 11 PM
USING THE LAW OF SINES SOLVE
Answer:
I round it to the whole number and degree.
<A = 33°
<C = 97°
C = 63
Step-by-step explanation:
Law of Sine: [tex]\frac{sinA}{A} =\frac{sinB}{B}= \frac{sin C}{C}[/tex]
[tex]\frac{sin(A)}{A} =\frac{sin(B)}{B}\\\frac{sin(A)}{104} =\frac{sin(50)}{49} \\\\sin(A)=\frac{104*sin(50)}{49}[/tex]
A = sin^-1 (104*sin(50)/49)
A = 33°
180° - <B - <A = <C
180° - 50° - 33° = 97°
[tex]\frac{sin(B)}{B}=\frac{sin(C)}{C} \\\\C =\frac{Bsin(C)}{sin(B)}\\\\C=\frac{104sin(97)}{sin(50)}\\\\C = 63[/tex]
PLEASE HELP NEEDED ASAP
explain your answer clearly, questions and image below
1. What is the volume of the first cube?
2. What is the volume of the cube with sides of 24m?
3. What is the volume of the cube with sides of 7m?
4. What is the combined volume of these 2 cubes?
5. How much more gold do you get in the better option?
Answer:
1. Volume of the cube = width * length * height = 25 * 25 * 25 = 15,625 m³
2. Volume of the cube = width * length * height = 24 * 24 * 24 = 13,824 m³
3. Volume of the cube = width * length * height = 7 * 7 * 7 = 343 m³
4. Combined volume = volume cube 2 + volume cube 3 = 13,824 + 343 = 14,167 m³
5. 15, 625 - 14,167 = 1,458 more m³
—-
Have a nice day!!
Answer:
1. Volume of a cube = l³
therefore: Volume of first cube = 25³
= 15625
2. Same formula as number 1. = l³
= 24³
= 13824
3. 7³ = 343
4. Combined volume Multiplication = 15625 × 13824
or addition = 15625 + 13824
if according to question
5. Don't get paraphrase
Which of the following isn't equivalent to -1.2 + 6?
A. 6 - 1.2
B. -2 (0.6 - 3)
C. (-2.4 + 12) / 2
D. -1 (1.2 + 6)
E. I don't know.