Answers
Answer:
41
Step-by-step explanation:
76, x and 63 are linear pair angles.
Sum of linear pair angles is 180,
76 + x + 63 = 180
x + 76 + 63 = 180
x + 139 = 180
x = 180 - 139
x = 42
A straight line is 180 degrees so i do 76+63 which is 139 and 180-139 which is 41
Related Questions
A park has 2 flagpoles 20m apart. One pole is 12m high and the other is 27m high. Calculate the angle of depression from the top of the taller pole to the top of the shorter pole. Round off your answer to the nearest hundredth.
PS. Please put an illustration/drawing of the problem. Thank you!
Answers
Answer:
37°
Step-by-step explanation:
Here it is given that there are two flagpoles which are 20 m apart. One of them is 12m high and the other is 27m high .And we are interested in finding the angle of depression from the top of taller pole to the top of shorter pole .
For illustration, refer to the attachment or below ,
Illustration :-
[tex]\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\put(0,0){\line(0,1){6}}\put(0,0){\line(1,0){4}}\put(4,0){\line(0,1){4}}\multiput(0,4)(0.6,0){7}{\qbezier(0,0)(0,0)(0.5,0)}\qbezier(0,6)(0,6)(4,4)\put(0,6){\vector(1,0){3}}\qbezier(0.8,6)(1,5.8)(0.6,5.7)\put(1,5.6){$\theta$}\qbezier(3.2,4.42)(3,4.1)(3.25,4)\put(2.4,4.15){$\theta$}\put(-0.5,-0.5){A}\put(-0.5,6){E}\put(-0.5,3.8){D}\put(-0.8,5){15m}\put(4.3,-0.5){B}\put(-1.2,2){$ 27m $}\put(3.2,6){$ F $}\put(4.5,2){$ 12m $}\put(4.3,3.8){C}\put(-1,1.8){\vector(0,-1){1.8}}\put(-1,2.4){\vector(0,1){3.7}}\put(2,-0.5){$ 20m$}\put(2,3.5){$ 20m$}\end{picture} [/tex]
Here the angle of depression will be ,
[tex]\longrightarrow\sf \angle_{of \ depression}=\angle FEC [/tex]
Also ,
[tex]\sf\longrightarrow \angle FEC =\angle ECD \ (alternate \ interior \ angles)[/tex]
Let ,
[tex]\sf\longrightarrow \angle FEC =\angle ECD = \theta \ ( say ) [/tex]
Now in ∆ EDC , we have;
[tex]\sf\longrightarrow tan\theta =\dfrac{perpendicular}{base}\\ [/tex]
[tex]\sf\longrightarrow tan\theta =\dfrac{15m}{20m}\\[/tex]
[tex]\sf\longrightarrow tan\theta =\dfrac{3}{4}\\ [/tex]
[tex]\sf\longrightarrow \theta =tan^{-1}\bigg\lgroup \dfrac{3}{4}\bigg\rgroup\\ [/tex]
[tex]\sf\longrightarrow \underline{\boxed{\textsf{\textbf{$\boldsymbol{\theta}$= 37$^{\bf o }$ }}}} [/tex]
And we are done!
Answer:
θ = 37°
Step-by-step explanation:
In the figure,
Distance between the poles = DC = 20 m
Height of the smaller pole = ED = 12 m
Height of the larger pole = AC = 27 m
Now, by using the properties of a rectangle,
DC = EB = 20 m
ED = BC = 12 m
Then,
AB
= AC - BC
= 27 - 12
= 15 m
We know that,
tan (θ) = opposite side / base side
Then, in △ ABE,
(Here, θ = missing angle)
tan (θ) = AB / BE
tan (θ) = 15/20
tan (θ) = 3/4
=》 θ = 37°
___________
Note:
Ray A & BE are parallel horizontal lines with AE as the transversal, so both the angles are equal to each other as then they will be alternate interior angles & they are represented in this question as 'θ'.
[Refer to the attachment for the figure]
____________________
Hope it helps ⚜
ASAP HELP RN
Ashley is diving in the ocean. She wants to reach a coral reef that is 60 feet below sea level; that is, the reef’s elevation is -60 feet. She decides to safely descend to the reef from the ocean’s surface in increments of 10 feet. Answer the following questions to learn more about Ashley’s rate of descent
Part B
Write a numerical expression that represents the number of increments it will take Ashley to reach -60 feet.
Part C
Is the number of increments in part B positive or negative?
Part D
Rewrite the expression from part B by distributing -1 from each of the negative numbers.
Part E
If you divide any number by itself, what is the result? How can you apply this result to the expression in part D?
Part F
Based on your work so far, how many increments of -10 feet are in -60 feet?
Part G
Copy and paste this image into the space below the correct number of times to show an elevation of -60 feet.
Part H
Suppose that Ashley’s brother, Alex, makes the same dive in 4 increments instead of 6 Write a numerical expression to represent Alex’s elevation change in feet per increment.
Part I
How many negative numbers are in the expression in part H? What will the sign of the solution be? How do you know?
Part J
What was Alex’s elevation change in feet per increment?
Answers
Answer:
Part B: is -60 divided by -10
Part C: is The number of increments is positive.
Part D: is -1 times 60 / -1 times 10
Part E: is Any number divided by itself is 1. In the expression -1 times 60, the -1s in the numerator and the denominator cancel each other out to give the result 60/10, or 6
Part F: is There are 6 increments of -10 feet in -60 feet.
Part G is: copy and paste -10 feet 6 times
Part H: is -60 / 4 increments
Part I: is there is one negative number in the expression, so the solution will be negative. There isn't a -1 in the denominator to cancel out the -1 in the numerator.
Part J: is -60 /4 =-15 Alex’s elevation change in each increment was -15 feet.
Step-by-Step Explaination: I did the test.
Answer:
A:-10 or -10 feet
B:-60/-10 or -60 feet/-10 feet
C: The number of increments is positive.
D: -1 X 60/ -1 X 10 or -1 X 60 feet/ -1 X 10 feet
E: Any number divided by itself is 1. In the expression -1 X 60, the -1s in the numerator and the denominator cancel each other out to give the result 60/10, or 6.
F: There are 6 increments of -10 feet in -60 feet
G: copy and paste 6X
H:-60 feet / 4 increments
I: There is one negative number in the expression, so the solution will be negative. There isn't a -1 in the denominator to cancel out the -1 in the numerator.
J:-60/4 = -15 Alex's elevation change in each increment was -15 feet
Hope this helps
New legislation passed in 2017 by the U.S. Congress changed tax laws that affect how many people file their taxes in 2018 and beyond. These tax law changes will likely lead many people to seek tax advice from their accountants (The New York Times). Backen and Hayes LLC is an accounting firm in New York state. The accounting firms believe that it may have to hire additional accountants to assist with the increased demand in tax advice for the upcoming tax season. Backen and Hayes LLC has developed the following probability distribution for x= number of new clients seeking tax advice.x f(x)20 .0525 .2030 .2535 .1540 .1545 .1050 .10a. Is this a valid probability distribution? Explain.b. What is the probability that Backens and Hayes LLC will obtain 40 or more new clients?c. What is the probability that Backens and Hayes LLC will obtain fewer than 35 new clients?d. Compute the expected value, variance, and standard deviation of x.
Answers
Answer:
a. Yes
b. 0.35
c. 0.5
d.
E(x)=34.25
V(x)=73.1875
SD(x)=8.555
Step-by-step explanation:
a.
x 20 25 30 35 40 45 50
f(x) 0.05 0.2 0.25 0.15 0.15 0.1 0.1
This will be valid probability distribution if
1. All probabilities are between 0 and 1 inclusive.
2. Sum of probabilities must be 1.
Condition 1 is satisfied in this distribution. Now, we will check second condition
sum(f(x))=0.05+0.2+0.25+0.15+0.15+0.1+0.1=1.
As the both conditions are satisfied, thus the given distribution is a valid probability distribution.
b.
P(x≥40)=P(X=40)+P(X=45)+P(X=50)
P(x≥40)=0.15+0.1+0.1
P(x≥40)=0.35
So, the probability that Backens and Hayes LLC will obtain 40 or more new clients is 0.35.
c.
P(x<35)=P(X=20)+P(X=25)+P(X=30)
P(x<35)=0.05+0.2+0.25
P(x<35)=0.5
So, the probability that Backens and Hayes LLC will obtain fewer than 35 new clients is 0.5.
d.
Expected value of x=E(x)= sum[x*f(x)]
E(x)= 20*0.05+25*0.2+30*0.25+35*0.15+40*0.15+45*0.1+50*0.1
E(x)=1+5+7.5+5.25+6+4.5+5
E(x)=34.25
Variance of x=V(x)=sum[x²*f(x)]-(sum[x*f(x)])²
sum[x²*f(x)]= 20²*0.05 +25²*0.2 +30²*0.25 +35²*0.15 +40²*0.15 +45²*0.1 +50²*0.1
sum[x²*f(x)]=20+1255+225+183.75+240+202.5+50
sum[x²*f(x)]=1246.25
V(x)=1246.25-(34.25)²
V(x)=73.1875
Standard deviation of x=SD(x)=√V(x)
SD(x)=8.555
Tell whether the sequence is arithmetic. If it is, identify the common difference.
11,20,29,38,...
A. arithmetic sequence;-9
B. arithmetic sequence;9
C. arithmetic sequence;11
D. not an arithmetic sequence
Answers
Answer:
Your answer is Option B.arithmetic sequence;9
Pls mark as brainliest!
solve the inequality:
||x-3|-2|≤1
Answers
Answer:
x = 6
Step-by-step explanation:
...
...
...
.....
..
The histogram shows the scores of students on their most recent history test. How many students scored 80% or better on the test?
Answers
Answer:
i cant see it clearly to give you a propper answer
How do you write 36.42 as a mixed number
Answers
so as a mixed number it would be 36 21/50
Keith's chocolate bar is 39% cocoa. If the weight of the chocolate bar is 76 grams, how many grams of coca does it contain? Round your answer to the nearest tenth.
Answers
Answer:
29.64
Step-by-step explanation:
76 x 0.39 =29.64
Have a great day!
Please rate and mark brainliest!!
Here are the endpoints of the segments AB, CD, and EF.
A(7,4), B (2,8)
C(5,0), D (1, -5)
E (-3,5), F (-8, 1)
Answers
Answer:
this is not a question
Step-by-step explanation:
The sales tax rate is 10%. If Liam buys a wheelbarrow priced at $94, what will be the total cost including tax?
Answers
Answer:
$9,4
Step-by-step explanation:
Multiply the number by 10 over 100
Hey there!
=> [tex]\fbox{94 × 10/100}[/tex]
=> [tex]\fbox{ 940/100}[/tex]
=> [tex]\fbox{9.4}[/tex]
[tex] We \:add\: 9.4\: to\: 94[/tex]
=> [tex]\fbox{94 + 9.4}[/tex]
=> [tex]\fbox{103.4}[/tex]
Therefore, total cost is 103.4
GIVING OUT BRAINLIEST!
At a restaurant, a children's meal gives a choice of four entrées: burger (B), chicken (C), pizza (P), or spaghetti (S), and two sides: apple (A) or fries (F).
Which sample space represents all the ways a child could choose one entree and one side for his or her meal?
A) BA, BF, CA, CF, PA, PF, SA, SF
B) BA, CA, PA, SA
C) BF, CF, PF, SF
D( B, C, P, S, A ,F
Answers
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
it pretty much self explanatory
At the end of December, Justus and Eduardo both earned a one-time bonus at work, plus their hourly wages.
Justus’ earnings are modeled by the function J(x) = 38.25x + 50.00.
Eduardo’s earnings are modeled by the function E(x) = 30.20x + 52.00.
Justus and Eduardo worked the same number of hours.
If x represents hours worked, which function represents the total monthly earnings of Justus and Eduardo, M(x)?
Answers
By directly adding the two given linear equations, we will see that the function that represents the total monthly earnings is:
M(x) = 68.45*x + 102.00
How to get the total earnings of Justus and Eduardo?
We know that Justus' earnings are given by:
J(x) = 38.25x + 50.00.
While Eduardo's earnings are given by:
E(x) = 30.20x + 52.00.
The earnings of both together will be given by the direct sum of the two earnings above, so we have:
M(x) = E(x) + J(x) = 38.25x + 50.00 + 30.20x + 52.00
Now we can simplify this to get:
M(x) = (38.25 + 30.20)*x + 50.00 + 52.00
M(x) = 68.45*x + 102.00
This linear equation represents the total monthly earnings of Justus and Eduardo.
If you want to learn more about linear equations, you can read:
https://brainly.com/question/1884491
Viola is putting stamps in a book. She has 1,488 stamps. Each page in the book can hold 62 stamps. How many pages will she need for all of her stamps.
A 12
B 18
C 24
D 32
Answers
Answer:
Answer is C. 24
Step-by-step explanation:
1488 ÷ 62 = 24
Answer:
Yes, I agree with other person it is 24
Step-by-step explanation: 1488/62=24
So, your answer is C
༼ つ ◕_◕ ༽つ
HISTORY Refer to the stem-and-leaf plot below.
Answers
Part (a)
Count the number of individual digits in the leaf category only.
For the first row, we have 3 leaves representing 3 different ages between 20 and 29. Specifically those ages are 26, 26, 29. Repeat ages are possible.
The second row has 17 leaves in it
So far we have 3+17 = 20 people accounted for.
Keep this process going until you get every row.
You should find that in total there are 56 leaves in all to represent the 56 signers of the declaration of independence.
To verify the answer, you can look it up on any history website dealing with this point in time.
Answer: 56=======================================================
Part (b)
The youngest age is 26 because it corresponds to the smallest stem (2) and the smallest leaf (6)
Answer: 26=======================================================
Part (c)
The oldest person on the other hand was 70 since we look at the largest stem (7) and the largest leaf of that stem. There's only one leaf here so we don't have to worry about the second aspect.
Subtract the oldest and youngest ages to get the range.
range = max - min = 70 - 26 = 44
There's a 44 year gap between the oldest and youngest person.
Answer: 44=======================================================
Part (d)
No, the majority weren't between 30 and 39. Instead, the majority of the signers were between 40 and 49 since we have the most leaves in the stem corresponding to "4".
Need help with this, super confused on the last question. Please anything helps!
Answers
Answer:
On Wednesday they sold 5, over the four days they sold 19, and the third I believe it is 26.32 . Please rate me and mark me brainliest!
Step-by-step explanation:
What is another way to write 300 + 20 + 5
Answers
Answer:
25+300
320+5
305+20
Step-by-step explanation:
Answer:
Your answer is: 1) 150+160+15 2) 45+200+80 3) 300+5+20
Step-by-step explanation:
Hope this helped : )
barbara has $80 in a savings account that earns 5% interest per year. The interest is not compounded. How much will she have in total in 1 year?
Answers
Answer:
4$
Step-by-step explanation:
I = P*r*t
Interest = 80*0.05*1 = 0.8*5 = $4.00
Andrew and his children went into a grocery store and he bought $12 worth of
apples and bananas. Each apple costs $1 and each banana costs $0.60. He
bought a total of 16 apples and bananas altogether. By following the steps
below, determine the number of apples, x, and the number of bananas, y,
that Andrew bought.
Answers
1(X) + 0.60y =12
I used the process of elimination.
Subtract everything.
0.40y = 4
Then divide
Y= 10
Therefore, he bought 10 bananas and 6 apples.
The number of apples and bananas andrew and his children bought is 6 and 10 respectively.
Andrew and his children bought $12 worth of apples and bananas. Each apple costs $1 and each banana costs $0.60. He bought a total of 16 apples and bananas altogether.
Let number of apples = x and number of bananas is x-16
What is arithmetic?
In mathematics it deals with numbers of operations according to the statements.
Here,
x*4 + 0.60(16-x) = 12
0.4x + 9.6 = 12
0.4x = 2.4
Number of apples, x = 6
And number of bananas = 16 -x
= 16 - 6
= 10
Thus, the number of apples and bananas andrew and his children bought is 6 and 10 respectively.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
.....................
Answers
Explanation:
There’s models equal 3 1/2 and the whole number of that fraction is 3
Select the correct answer.
What is 75 equal to?.
A.7 x 5
B.5x5x5x5 x 5 x 5 x 5
C:7 x 7 x 7 x 7 x 7
D.5’7
Answers
A box contains six red popsicles, two blue popsicles, and eight orange
popsicles. If a popsicle is drawn at random, what is the probability that it is
not blue?
Answers
Answer:
7/8
Step-by-step explanation:
add all the popsicles together and subtract the number of blue from the total and put that number over the total and simplify
total popsicles = 14
blue = 2
not blue = 12
12/14 × 100 = 85.71
Final answer = 85.71
5(a-b)if a=-4 and b=-2
Answers
Answer:
See below.
Step-by-step explanation:
5(a-b)
5(-4-(-2))
5(-4+2)
5(-2)
-10
-hope it helps
HELP ME PLEASEEE ASAP
A diagonal brace strengthens the wire fence and prevents it from sagging.
The brace makes a 50 degree angle with the wire as shown. Find the value
of the variable.
Answers
Answer:
y° = 130°
Step-by-step explanation:
The angel adjacent to y° corresponds with the given measure of degree that the brace makes with the wire.
Thus, the measure of the angle adjacent to y° = 50° (Corresponding angles are congruent)
y° and the angle adjacent to y° form a linear pair on a straight line.
Therefore:
y° + 50° = 180° (linear pair)
subtract 50 from each side
y° + 50° - 50° = 180° - 50°
y° = 130°
1/2 divided 3/5 (also please explain how you did)
Answers
Answer: 5/6
Step-by-step explanation:
1/2 / 3/5 (you have to divide so you invert the 3/5 and multiply)
1/2 x 5/3 (then you multiply the upper numbers and write them up, and multiply the lower numbers and write them down
what is a 2 step equation equivalent to 12?
Answers
Answer:
[tex]\sqrt{x-3} = 3[/tex]
Step-by-step explanation:
3r+2e=-6 what is the correct answer for that
Answers
linear equation
hope it helps
1. Label each representation below as a "Function" or "Not a function".
a.
b.
o.
х
у
{(-2,9), (0, -4), (3, 12), (1, 1))
-1
1
-1
2
-1
3
-1
4
Function
not a function
not a function
Answers
Answer:
a. Function
b. Function
c. Not a function
Step-by-step explanation:
Here is a basic rule to determine if a relation is a function of not:
1. A function has only one exact y-value (range) assigned to each x-value (domain).
2. A x-coordinate value is not repeated in a function, however, a y-coordinate value can be repeated. This means, the same y-value can be assigned to different x-values.
Bearing these in mind, let's label the given representation accordingly:
a. There is exactly one y-value assigned to each x-value, and also, no x-value is repeated. Therefore, it is a function.
b. The graph shows a repeating y-value, however, each x-value has exactly one y-value assigned to it. Therefore the graph represented is a function.
c. The table shows a repeating x-values. This is definitely not a function.
multiply (5y+x)(5y-x)
Answers
Answer:
25y²-x²
Step-by-step explanation:
Can someone help and explain
Answers
Answer:
∠ A ≈ 43.1°
Step-by-step explanation:
Using the Sine rule in Δ ABC , that is
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex] , substitute values
[tex]\frac{20}{sinA}[/tex] = [tex]\frac{29}{sin82}[/tex] ( cross- multiply )
29 × sinA = 20 × sin82 ( divide both sides by 29 )
sinA = [tex]\frac{20sin82}{29}[/tex] , thus
∠ A = [tex]sin^{-1}[/tex] ([tex]\frac{20sin82}{29}[/tex] ) ≈ 43.1° ( to 1 dec. place )
Linear equation: -1 2 (6x + 10) = 13 Step 1: –3x – 5 = 13 Step 2: –3x = 18 Step 3: x = –6 Which sequence describes the inverse operations used for steps 2 and 3 to solve the linear equation? the addition property of equality and then the division property of equality the addition property of equality and then the multiplication property of equality the subtraction property of equality and then the division property of equality the subtraction property of equality and then the multiplication property of equality
Answers
Answer:
(A) the addition property of equality and then the division property of equality
Step-by-step explanation:
To get from Step 1 to Step 2, we have added 5 to both sides of the equation:
-3x -5 +5 = 13 +5
-3x = 18
To get from Step 2 to Step 3, we have divided both sides of the equation by -3:
-3x/-3 = 18/-3
x = -6
These operations can be described as ...
the addition property of equality and then the division property of equality
__
However, since addition and subtraction are the same thing, but with opposite numbers, and since multiplication and division are the same thing, but with reciprocal numbers, any of the answer choices is arguably correct.
(add 5, divide by -3) = (add 5, multiply by -1/3) =
(subtract -5, divide by -3) = (subtract -5, multiply by -1/3)
Answer:
A.) the addition property of equality and then the division property of equality
Step-by-step explanation:
Got It Right. Trust me