Answers
#x
2x+30+62=1802x+92=1802x=88x=44Angle 1
2(44)+3088+30118°Angle 2
62°(Opposite angles)Answer:
A) x = 44
B) m∠1 = 118°
m∠2 = 62°
Step-by-step explanation:
Part A
Angles on a straight line sum to 180°
⇒ (2x + 30) + 62 = 180
⇒ 2x + 30 + 62 = 180
⇒ 2x + 92 = 180
⇒ 2x = 88
⇒ x = 44
Part B
Vertical Angle Theorem: The opposite vertical angles of two straight intersecting lines are congruent.
⇒ m∠1 = (2x + 30)
Substituting the found value of x:
⇒ m∠1 = 2(44) + 30
⇒ m∠1 = 88 + 30
⇒ m∠1 = 118°
Using the Vertical Angle Theorem:
⇒ m∠2 = 62°
Related Questions
Which of the following points is not an ordered pair for the function
ƒ(x ) =5/2 x + 6?
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(2, 7)
(-2, 1)
Answers
Answer:
2,7
Step-by-step explanation:
To solve this type of problem you simply plug the left number or x value in the ordered pair into the function and then see if it equals the right or y value. So we would plug 4 in for x and get 16, you then do the same thing for the other two pairs and find out that when you plug 2 into the equation, it does not equal 7
The dot plot shown displays the amount of money,
in millions of dollars, that different companies
spend on television advertising in one year. Which
of the following statements describe the data set?
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Answer:
44
Step-by-step explanation:
because it a millon and not a bilolon
Need to know if this is write. if not, please correct.
Classify each pair of angles listed below as adjacent or vertical.
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Which form of a linear equation is defined by y = mx +b?
O A. Parallel form
O B. Standard form
O C. Slope-intercept form
O D. Point-slope form
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The linear equation is defined by y = mx +b is called ''Slope-intercept form''.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The linear equation is defined by,
⇒ y = mx + b
Now, We know that;
The equation defined as;
⇒ y = mx + b
Where, 'm' is slope and 'b' is y - intercept.
Hence, The linear equation is defined by y = mx +b is called ''Slope-intercept form''.
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Answer this question to get marked as barinliest!!!!
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Volume= units to the third
Circumference= units to the second
Gavin divided his notebook into 8 equal parts. He plans to use 3 parts to take notes for math and 2 parts for reading. He has school from 8:30 A.M to 3:30 P.M. what fraction of his notebook does he have left?
Pls help I well mark you a brainliest...
Answers
Answer:
Gavin has 3 parts left.
Step-by-step explanation:
8-3-2=3. The time was not important.
In 3^6, 6 is called ___.
base
exponent
Answers
Step-by-step explanation:
the correct answer is exponent because 6 is its power.
hope this answer will help u.
have a great time.
The total cost of a catered meal for the Armstrong family reunion was to be split equally by the 20 people who came. Before the meal started, five more Armstrong's unexpectedly appeared. The total cost was shared equally among the 25 people, and so each person in the original group owed $4 less. What was the total cost of the catered meal?
Answers
Answer:
$400
Step-by-step explanation:
Let the initial total cost be represented = $X.
Hence, for 20 family members
= $ x/20 each .......1
Now that they are 25 members
= $x/25 each.......2
Each in the original group which is equation 1 owed $4 less.
That is,
x/20 - 4 ........ 3
Now equate 2 and 3
X/20 - 4/1 = X/25
Taking the LCM of both sides
X-80/20 = X/25
Cross multiply both sides
25( x-80 ) = 20x
25x-2000 = 20x
Collecting like terms
25x-20x = 2000
5x = 2000
Divide through by 5
X = 2000/5
X = 400
The total cost for the catered meal is $400.
To check if it was correct
Put 400 into equation 1 and 2 and then minus whatever you get from each other, you will get $4
From equation 1
400/20 = $20
From equation 2
400/25 =$16
$20-$16 = $4
Thanks
Use digits to write the value of the 4 in this number.
842,963
Answers
Answer:
40,000
Step by step explanation:
842,963
840,000
40,000
Which of the following are among the five basic postulates of Euclidean geometry? Check all that apply.
A. All circles have 360 degrees
B. A straight line segment can be drawn between any two points.
C. A straightedge and compass can be used to create a triangle.
D. Any straight line segment can be extended indefinitely.
Answers
Answer:
B and D.
Step-by-step explanation:
A p e x
The following are among the five basic postulates of Euclidean geometry
A straight line segment can be drawn between any two points.Any straight line segment can be extended indefinitely.The five basic postulates of Euclidean geometry
The five (5) basic postulates are:
Any segment of a straight line connecting any two points can be drawn.You can draw and stretch any straight line to any finite length.Given a centre and radius, circles are drawn.Congruent angles are always right angles.There is a line that is parallel to the given line if a given point is not on the supplied line.Learn more about Euclidean Geometry here:
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1) (28 ÷ 4) + 3 + (10 - 8) × 5 2) 12 - 5 + 6 × 3 + 20 ÷ 4 3) 36 ÷ 9 + 48 - 10 ÷ 2 4) 10 + 8 × 90 ÷ 9 - 4 5) 8 × 3 + 70 ÷ 7 – 7
Answers
Answer:
1) 20.
2) 30.
3) 47.
4) 86.
5) 27.
Step-by-step explanation:
The order of operations consist in, first, evaluate the parenthesis, then the exponents, the multiplication, the division, and as last the addition and subtraction. Having this in mind:
1) (28 ÷ 4) + 3 + (10 - 8) × 5
7 + 3 + 2 × 5
7 + 3 + 10
20
2) 12 - 5 + 6 × 3 + 20 ÷ 4
12 - 5 + 18 + 5
30
3) 36 ÷ 9 + 48 - 10 ÷ 2
4 + 48 - 5
47
4) 10 + 8 × 90 ÷ 9 - 4
10 + 80 - 4
86
5) 8 × 3 + 70 ÷ 7 – 7
24 + 10 - 7
27
Sasha had to run 1/3 of a mile. She decided to walk, jog, and run the 1/3 mile, in equal parts. What fraction of the mile will she run?
A.9
B.3/9
C.1/9
D.3/3
(Need help asap pls)
Answers
Answer:
C 1/9
Step-by-step explanation:
She needs to run 1/3 of a mile and is going to run/jog/walk that 1/3 mile
So she must do 1/9 of a mile running, 1/9 walking, and 1/9 jogging because 1/3 is equivalent to 3/9.
Since she is going to run/jog/walk the same amount of the 1/3 she is going to run 1/9 of the 1/3
Let me know if I'm wrong
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A rectangular park, 90 meters by 60 meters, is to be built on a city block having an area of 9000 m^2. A uniform strip borders all four sides of the park for parking. How wide is the strip? Use quadratic formula and show your work.
Answers
Answer:
x = 10.52 m
Step-by-step explanation:
Given that,
Length of a park = 90 m
Width of a park = 60 m
Area, A = 9000 m²
A uniform strip borders all four sides of the park for parking. We need to find the width of the strip. Let it is x. Now the area becomes,
(90+2x)(60+2x) = 9000
[tex]4x^2 +120x +180x =5400 = 9000\\\\x=10.52\ m[/tex]
So, the width of the strip is equal to 10.52 m.
Finish the song:
Good little girl....
Always picking a fight with me~
You know that I'm bad!
But you're spending the night with me....
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You're a good little girl♪♪♪
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Answer:
Bad little boy
That's what you're acting like
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Step-by-step explanation:
i had to look in the internet hehe click the ❤️
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Answers
Answer:
77 degrees
Step-by-step explanation:
All triangle add up to 180 degrees and right triangle all have one angle that is 90 degrees so 90 + 14 is 104 and 180 - 104 is 77.
Answer:
76 degrees
Step-by-step explanation:
What we know:
1. the triangle is a right triangle, meaning on angle has to be 90 degrees
2. One angle is 14 degrees
3. A triangle's angles add up to 180 degrees.
----------------------------------------------------------------------------------------------------
90+14+x=180
104+x=180
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How many different 3-digit odd number can be formed with the digit 0,1,2 up to 9 if the repitition of digits is not allowed
Answers
Answer:
The answer is "320".
Step-by-step explanation:
They have to be 1, 3, 5, 7, and 9 as your final digit. Your middle digit may be anything other than the first digit, and only the last digit or 0, is anything.
Now let us take a look at strange digits ending in 1.
This can start from any digit other than 0, so there are 8 options during the first digit.
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For other strange amounts, the very same logic is working.
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If you roll a six sided die, what is the probability that you do not roll a one or two?
Answers
Answer:
66.6%
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You have a 1/6 chance to roll any number. That is a 16.6% chance per number.
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Please answer and give the correct answer. Thank You! :)
Answers
Answer:
x = 8
Step-by-step explanation:
Hope this helps have a great day
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Answer:
42.78cm2
Step-by-step explanation:
Area =100°/360 * 22/7 * 7^2
=42.78cm2
What is 980x58? I am giving 10 points I am not sure if it’s fair
Answers
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A bit of long multiplication
Answer:
56840
Step-by-step explanation:
Sails come in many shapes and sizes. The sail on the right is a triangle. Is it a right triangle? Explain your reasoning.
Answers
Answer:
not a right triangle
Step-by-step explanation:
you can use the pythagorean theorem to prove whether not this is a right triangle
if this triangle is a right triangle then the following equality should be true
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(9.75)²+(3.45)²=(10.24)²
(95.06)+(11.90)=(104.86)
106.96≠104.86
since the following equality is not true, this is not a right triangle.
hello I need help in this
Answers
PLEASE PLEASE PLEASE HELP
Answers
Answer:
so so so sorry I usually don't do this but you know
Step-by-step explanation:
should have never be a
Urgent!!!!
Sean bought three pairs of the same socks and a shoe polish for $1450. If the
polish cost $340, how much is the cost of one pair of soc
Show how you got your answer (4marks)
Answers
Answer:
One pair of socks is $370.
Step-by-step explanation:
Sean bought three pairs of the same socks and a shoe polish for $1450. If the
polish cost $340, how much is the cost of one pair of socks.
6x - 340 = 1450
6x = 1450 -340
6x = 1110
2x = 1110 / 3
2x = 370
Y=340
Answer: 370
HELP PLEASE AND ASAP!!!!! look at the screen shot (10 pts)
Answers
Answer: 1/4
Step-by-step explanation:
3/12 simplified so divide the numerator and denominator by 3, you get 1/4
3/12 = 0.25 or 1/4
Joel says to Kevin, "Give me $100, and I shall become twice as rich as you."
Kevin replies, "Give me $10, and I shall become six times as rich as you."
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The answer is $310
Find the volume of a right circular cone that has a height of 18.5 in and a base with a diameter of 17.5 in. Round your answer to the nearest tenth of a cubic inch.
Answers
Answer:
Step-by-step explanation:
volume of cone formula: V = 1/3 πr²h
r = 1/2 d
r = 1/2 (17.5)
r = 8.75 in
V = 1/3 (π8.75²)(18.5)
V = 1483.26 in²
Find the measure of the indicated angle to the nearest degree.
Answers
Answer:
37 degrees
Step-by-step explanation:
Cos x = 48/60
Cos x = 0.8
x = cos^-1 0.8
x = 36.8699
Jamal has a new business as a financial consultant. He uses the formula y = 1,500x + 500 as a starting point for new customers. Y is the total amount of money and x is the number of years of investments. What is the total amount of money a dient would have after 7 years?
Answers
Answer:
11,000
Step-by-step explanation:
You would multiply 1,500 by 7 and then add 500.
HELP PLEASE AND ASAP!! look at screenshot (10 pts)
Answers
Answer:
C
Step-by-step explanation:
Add like terms to get
4.5a + 4b + 3.5c