Find the value of x using the exterior angle property in the figure below (label the diagram
Answers
Answer:
x = 72°
Step-by-step explanation:
x + 38° + 70° = 180°
x + 108° = 108°
x = 72°
Answer:
x is 32
This is your answer.
Hope it helps!!!
Related Questions
Mr. Foote's deck is 12 ft. 6 in wide. Its length is twice the width plus 3 more inches. How long is the deck?
Answers
Answer:
25 ft 3 in
Step-by-step explanation:
Mr foote deck is 12 ft 6 in wide
It's length is twice its width with additional 3 inches
Therefore the length can be calculated as follows
12 ft 6 in + 12ft 6 in + 3 in
= (12+12)ft (6+6)in + 3 in
= 24+1 3in
= 25 ft 3 in
Hence the length of the deck is 25 ft 3 in
Find it ! Find the perimeter
Answers
Answer:
P=60
Step-by-step explanation:
P=2(l+w)
P=2(14+16)
P=2(30)
P=60
Perimeter of a rectangle with 16in length and 14in width is 60 in.
Perimeter of a rectangle = 2(l+b)
here l = length and b= width
Given : l= 16 in and b= 14 in
perimeter = 2(l+b)
= 2(16+14)
= 2(30)
=60 inches.
The perimeter of rectangle is 60 inches
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Find the total amount of interest earned on this savings account.
Time: 7 years
Interest Rate: 2.5%
Principal: $4,556
Interest:
$79.73
$797.30
$7,973
$79,730
Answers
Answer:
$797.30 or B on egunty :
)
Answer:
The answer is B.$797.30 on Edge 2021
Which of the following could be the interpretation of the distance vs time graph shown?
Which of these answers this Question, Is It 1, 2, or 3 that's in parentheses???
( 1.) A biker takes off on a course that begins with a small ramp. The biker bikes up a hill and across a flat portion of the course before heading down a steep descent.
( 2.) A driver leaver her house and slows down to make a stop at her neighbor's house. She then drives at a constant speed and stops at a house further down the street. After visiting with her neighbor, she quickly drives back home.
( 3.) A hiker begins hiking, but shortly after realized he left his water bottle in his car. He turns around to get his water bottle and then starts hiking again at a constant rate. The hiker stops for lunch at the furthest point of his hike and then hikes back at a quicker constant rate.
Answers
The slope of the curve is positive between the times t=0\text{ s}t=0 st, equals, 0, start a text, space, s, end text, and t=2 \text{ s}t=2 st, equals, 2, start a text, space, s, end text since the slope is directed upward. This means the acceleration is positive.
The slope of the curve is negative between t=2 \text{ s}t=2 st, equals, 2, start a text, space, s, end text, and t=8 \text{ s}t=8 st, equals, 8, start a text, space, s, end text since the slope is directed downward. This means the acceleration is negative.
At t=2\text{ s}t=2 st, equals, 2, start a text, space, s, end text, the slope is zero since the tangent line is horizontal. This means the acceleration is zero at that moment.
Concept check: Is the object whose motion is described by the graph above speeding up or slowing down at time t=4\text{ s}t=4 st, equals, 4, start a text, space, s, end text?
[Show me the answer.]
What does the area under a velocity graph represent?
The area under a velocity graph represents the displacement of the object. To see why to consider the following graph of motion that shows an object maintaining a constant velocity of 6 meters per second for a time of 5 seconds.
To find the displacement during this time interval, we could use this formula
\Delta x=v\Delta t=(6\text{ m/s})(5\text{ s})=30\text{ m}Δx=vΔt=(6 m/s)(5 s)=30 mdelta, x, equals, v, delta, t, equals, left parenthesis, 6, start text, space, m, slash, s, end text, right parenthesis, left parenthesis, 5, start text, space, s, end text, right parenthesis, equals, 30, start text, space, m, end text
which gives a displacement of 30\text{ m}30 m30, start text, space, m, end text.
Now we're going to show that this was equivalent to finding the area under the curve. Consider the rectangle of the area made by the graph as seen below.
The area of this rectangle can be found by multiplying the height of the rectangle, 6 m/s, times its width, 5 s, which would give
\text{ area}=\text{height} \times \text{width} = 6\text{ m/s} \times 5\text{ s}=30\text{ m} area=height×width=6 m/s×5 s=30 mstart text, space, a, r, e, a, end text, equals, start text, h, e, i, g, h, t, end text, times, start text, w, i, d, t, h, end text, equals, 6, start text, space, m, slash, s, end text, times, 5, start text, space, s, end text, equals, 30, start text, space, m, end text
This is the same answer we got before for the displacement. The area under a velocity curve, regardless of the shape, will equal the displacement during that time interval. [Why is this still true when velocity isn't constant?]
\text{area under curve}=\text{displacement}area under curve=displacementstart text, a, r, e, a, space, u, n, d, e, r, space, c, u, r, v, e, end text, equals, start text, d, i, s, p, l, a, c, e, m, e, n, t, end text
[Wait, aren't areas always positive? What if the curve lies below the time axis?]
What do solved examples involving velocity vs. time graphs look like?
Example 1: Windsurfing speed change
A windsurfer is traveling along a straight line, and her motion is given by the velocity graph below.
Select all of the following statements that are true about the speed and acceleration of the windsurfer.
(A) Speed is increasing.
(B) Acceleration is increasing.
(C) Speed is decreasing.
(D) Acceleration is decreasing.
Options A, speed increasing, and D, acceleration decreasing, are both true.
The slope of a velocity graph is the acceleration. Since the slope of the curve is decreasing and becoming less steep this means that the acceleration is also decreasing.
It might seem counterintuitive, but the windsurfer is speeding up for this entire graph. The value of the graph, which represents the velocity, is increasing for the entire motion shown, but the amount of increase per second is getting smaller. For the first 4.5 seconds, the speed increased from 0 m/s to about 5 m/s, but for the second 4.5 seconds, the speed increased from 5 m/s to only about 7 m/s.
Example 2: Go-kart acceleration
The motion of a go-kart is shown by the velocity vs. time graph below.
A. What was the acceleration of the go-kart at time t=4\text{ s}t=4 st, equals, 4, start a text, space, s, end text?
B. What was the displacement of the go-kart between t=0\text{ s}t=0 st, equals, 0, start text, space, s, end text and t=7\text{ s}t=7 st, equals, 7, start text, space, s, end text?
A. Finding the acceleration of the go-kart at t=4\text{ s}t=4 st, equals, 4, start a text, space, s, end text
We can find the acceleration at t=4\text{ s}t=4 st, equals, 4, start a text, space, s, end text by finding the slope of the velocity graph at t=4\text{ s}t=4 st, equals, 4, start a text, space, s, end text.
\text{slope}=\dfrac{\text{rise}}{\text{run}}slope=
run
Which of the following options have the same value as 62\%62%62, percent of 454545
Answers
Answer:
Here, the given expression is,
62 % of 45
( 1 % = )
( Dividing 62 by 100 )
Hence, Option A and C are correct
I need help on this question thanks
Answers
Answer:
length of arc YPX=πrtheta /180
given radius =8m
= π(8)(360-90)/180=π(8)(270)/180=12πm
heyy could you help me out with this question I have been stuck in this question??
Answers
Find the sale price of a $45 item after a 20% discount.
Answers
Answer:
36$
Step-by-step explanation:
Find the value of x in the triangle shown below.
X=??
14
14
50°
18
Answers
Which graph represents the function g(x) = 3/(x+2) -4?
Answers
Answer:
x=-2, y=-4
Step-by-step explanation:I took the test on k12
The required graph of the given function g(x) = 3/(x+2) -4 is given in the image attached below,
Given that,
The graph for the function g(x) = 3/(x +2) - 4 is to be determined.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
g(x) = 3/(x+2) - 4
Since the function has an inverse operator as 1 / (x + 2) the graph for the given function shown in the graph,
Thus, the required graph of the given function g(x) = 3/(x+2) -4 is given in the image attached below,
Learn more about graphs here:
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Decrease 360 by 15%
Answers
Answer:
54
Step-by-step explanation:
Step-by-step explanation:
First take 15percent of 360 and decrease the answer from 360
Please Help with this
Answers
Answer:
x = 10
Step-by-step explanation:
7x - 3 + 12x - 7 = 180 because angles on a straight line add up to 180 degrees so we equate this to 180. Now we just simplify and solve to get x on one side! :)
19x - 10 = 180
19x = 190
x = 10
I hope this helps!!
How can you use a table with equally-spaced inputs to determine whether a relationship is linear? Exponential?
Answers
Please Explain how it happens
Answers
Answer:
Step-by-step explanation:
[tex]LHS = \frac{\alpha +\beta }{\alpha \beta }\\\\=\frac{\alpha }{\alpha \beta }+\frac{\beta }{\alpha \beta }\\\\=\frac{1}{\beta }+\frac{1}{\alpha }[/tex]
Use KCF method for fraction division
Keep the first fraction, Change division to multiplication and filp the second fraction
[tex]RHS = \frac{\frac{18}{p}}{\frac{9}{p}}\\\\[/tex]
= [tex]\frac{18}{p}[/tex] ÷ [tex]\frac{9}{p}[/tex]
[tex]= \frac{18}{p}*\frac{p}{9}\\\\=\frac{18}{9}[/tex]
If Evan has 3 Jars of Cookies and each jar holds 18 cookies how many cookies does Evan have?
Answers
Answer:54 cookies in total
Step-by-step explanation: 3x18=54
Answer: 54 cookies in all
Step-by-step explanation: Evan has 54 cookies because if you do 18x3 you get 54, or if you do 18+18+18 you get 54.
=
What is the value of x when -8 x - (8x) = -48?
Answers
Answer:
x=3
Step-by-step explanation:
-8x-(8x)=-48
-8x-8x=-48
Collect like terms
-16x=-48
Divide both sides by-16
x=3
HELP PLSSS ITS DUE NEXT 5MINS!!!!! (AS MUCH AS YOU CAN DOOO!!!!!!!!!!!!)
Answers
a) 6+2y-3+4y
=3+6y
b)16+t-2s+12
=18+t-2s
c)3w-6v+4v-100
=3w-2v-100
d)79t+50-30t-3
=49t+47
all i can do for now
Which inequality models this problem?
Josephine started a business selling cosmetics. She spent $4500 to obtain her merchandise, and it costs her $200 per week for general expenses. She earns $550 per week in sales.
What is the minimum number of weeks it will take for Josephine to make a profit?
550w<4500+200w
200w≥4500+550w
550w>4500+200w
200w>4500+500w
Answers
Answer:
550w>4500+200w
Step-by-step explanation:
Expenses: $4500 + $200 per week
Income: $550 per week
We want income to be greater than expenses
Please help me solve this
Answers
Answer:
1st pic:
x = 49
top angle = 45
bottom angle = 108
far right angle = 27 degrees
2nd pic:
angle 1 = 88 degrees
angle 2 = 57 degrees
angle 3 = 35 degrees
angle 4 = 145 degrees
Step-by-step explanation:
1st pic:
you can find the far right angle by taking 153 and subtracting it from 180:
⇒ 180 - 153 = 27 degrees
you can find x by the following equation ⇒ x - 4 + 2x + 10 + 27 = 180
combine like terms ⇒ 3x + 33 = 180
subtract 33 from each side ⇒ 3x + 33 - 33 = 180 - 33 ⇒ 3x = 147
divide 3 on each side: ⇒ [tex]\frac{3x}{3} = \frac{147}{3}[/tex]
x = 49
to find the top and bottom angles, substitute 49 for x:
top angle : x - 4
49 - 4 = 45 degrees
bottom angle: 2x + 10
2 x 49 + 10 = 108 degrees
2nd pic:
angle 1:
⇒ 180 - 92 = 88 degrees
angle 2:
⇒ 180 - 123 = 57 degrees
angle 3:
⇒ 180 - (88 + 57) = 35 degrees
angle 4:
⇒ 180 - 35 = 145 dgerees
Find the slope of the line that passes through E(6, 8) and F(6, −2) .
Answers
Answer:
y=0
Step-by-step explanation:
The two points if graph make a horizontal line. A horizontal line slope is 0
Mohsin, Yusuf and Luke are going to play a game.
At the end of the game, one of them will be in First place, one of them will be in
Second place and one of them will be in Third place.
Use the table below to list all the possible outcomes of the game.
First place
Second place
Third place
Answers
The possible outcomes of the game, in terms of first place, second place, and third place, are:
Mohsin, Yusuf, Luke
Mohsin, Luke, Yusuf
Yusuf, Mohsin, Luke
Yusuf, Luke, Mohsin
Luke, Mohsin, Yusuf
Luke, Yusuf, Mohsin
To list all the possible outcomes of the game, we need to consider the different permutations of the three players: Mohsin, Yusuf, and Luke. Since there are three players, there are a total of 3! (3 factorial) possible outcomes, which is equal to 3 x 2 x 1 = 6.
Using the table format, we can list the possible outcomes as follows:
Outcome 1: Mohsin, Yusuf, Luke
Outcome 2: Mohsin, Luke, Yusuf
Outcome 3: Yusuf, Mohsin, Luke
Outcome 4: Yusuf, Luke, Mohsin
Outcome 5: Luke, Mohsin, Yusuf
Outcome 6: Luke, Yusuf, Mohsin
Each outcome represents a different arrangement of the players in the first, second, and third places.
As a result, the following players might finish first, second, and third in the game: Mohsin, Yusuf, and Luke
Luke, Mohsin, and Yusuf
Luke, Yusuf, and Mohsin
Mohsin, Luke, and Yusuf
Yusuf, Mohsin, and Luke
Mohsin, Yusuf, and Luke
These outcomes represent all the different ways in which the players can finish the game.
for such more question on permutations
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"Expand the brackets and simplify" (please i need help asap)
Answers
ok, b)
you can times anything inside bracket by 8. so, 8r -40 + 12
You can simplify to 8r - 28.
d)
You can rearrange it to 6a + 12a -12/3 -15/3
= 18a - 27/3
What is the next term of the geometric sequence?
48,-36,27....
Answers
Answer:
-15 is the next number in the sequence
-2x+2y=6 and 7x+4y=23
Answers
Let's solve this problem step-by-step:
Let's set:
[tex]-2x + 2y = 6 -- equation 1\\7x+4y=23 -- equation 2[/tex]
(equation1) * 2
[tex]-4x+4y=12--equation3[/tex]
(equation 2) - (equation 3)
[tex]11x = 35\\x= \frac{11}{11}--equation4\\x=1[/tex]
Plug (equation4)'s value of 'x' into (equation1)
[tex]-2(1} )+2y=6\\-2+2y =6 \\2y = 6+2 =8 \\y =4[/tex]
Thus x= 1 and y = 4
Let's check:
[tex]-2(1 )+2(4)=6\\2 +4 =6\\6=6\\ \\7(1)+4(4) )=23\\7+16=23\\ 23 =23\\[/tex]
Answer: x = 1 and y= 4
Hope that helps!
Can somebody please help me !!!!!!!!!47$4&
Answers
Answer:
30 celsius
Step-by-step explanation:
(86°F − 32) × 5/9 = 30°C
Can anyone tell me what the answer is for 4097 + 754 + 3188?
Answers
Answer:
8,039
Step-by-step explanation:
4097
3188
754
---------
8039
Answer:
4097 + 754 + 3188 = 8039
Step-by-step explanation:
4097 + 754 + 3188
4851 + 3188
8039
Given 4y2 + x – 32y + 68 > 0, which ordered pair is part of the solution set? (–3, 5.7) (–5.9, 4) (–8, 5) (–13, 3)
Answers
Answer:
A. (-3, 5.7)
Step-by-step explanation:
Inequalities help us to compare two unequal expressions. The ordered pair that satisfies the given inequality is (–3, 5.7).
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
The ordered pair that satisfies the given inequality is the solution set of the inequalities, the inequality can be written as,
[tex]4y^2+x-32y+68 > 0\\\\4y^2-32y+68 > -x[/tex]
Now, let's substitute the value of the first ordered pair, (–3, 5.7),
[tex]4(5.7)^2-32(5.7)+68 > -(-3)\\\\129.96-178.24+68 > 9\\\\19.72 > 9[/tex]
Since the inequality is satisfied the ordered pair is a set of solutions.
For the second ordered pair (-5.9,4),
[tex]4y^2-32y+68 > -x\\\\4(4)^2-32(4)+68 > -(-5.9)\\\\64-128+68 > 5.9\\\\4 > 5.9[/tex]
Since inequality is not true it is not the solution to the problem.
For the third ordered pair (-8, 5),
[tex]4y^2-32y+68 > -x\\\\4(5)^2-32(5)+68 > -(-8)\\\\64-128+68 > 8\\\\8 > 8[/tex]
Since inequality is not true it is not the solution to the problem.
For the fourth ordered pair (-13, 3),
[tex]4y^2-32y+68 > -x\\\\4(3)^2-32(3)+68 > -(-13)\\\\64-128+68 > 13\\\\8 > 13[/tex]
Since inequality is not true it is not the solution to the problem.
Learn more about Inequality:
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Simplify: (2x3y5)3 Could you also explain how to do it?
Answers
Answer:
6x×9y×15
Step-by-step explanation:
that's the answear I got because you didn't add any math signs so assuming its all multiplication you take 3 and multiply it with each of the numbers with there variables
could someone plz help me on this :,)
Answers
Answer:
C if its a parallelogram than opposite sides are parallel
Ling baked 72 cookies with 4 scoops of flour. With 5 scoops of flour, how many cookies ca
Ling bake? Assume the relationship is directly proportional.
Answers
Answer:
90
Step-by-step explanation:
Divide 72 by 4 you get 18 which is how many Ling baked with one scoop of flour. Then just add 18 to 72 and you get 90