Answers
Answer:
m<a = 30°
m<b = 90°
m<c = 60°
Step-by-step explanation:
Angles a, b, and c are all angles on a straight line.
Angles on a straight line add up to 180°.
Therefore, a + b + c = 180°
Given that a:b:c = 1:3:2, the measure of each can be calculated as follows:
Measure of each angle = the ratio proportion of that angle ÷ total ratio proportion * 180°
m<a = [tex] \frac{1}{6} * 180 = 30 [/tex]
m<b = [tex] \frac{3}{6} * 180 = 90 [/tex]
m<c = [tex] \frac{2}{6} * 180 = 60 [/tex]
Related Questions
Which of the following pairs could be reasonable approximations for the diameter and circumference of a circle? 18 inches and 57 inches 3 centimeters and 28 centimeters 33 meters and 80 meters
Answers
Answer:
18 inches and 57 inches
Step-by-step explanation:
The diameter and the circumference of a circle are proportionate to each other.
The circumference of a circle will always be the diameter times [tex]\pi[/tex]. We know this because the circumference of a circle is represented as
[tex]2 \pi r[/tex]
Since the diameter is twice the radius, we multiply the radius by 2 - there's already a [tex]\cdot 2[/tex] in this equation, so [tex]c = \pi d[/tex].
1st option: [tex]18\cdot3.14 = 56.52[/tex], this is close to 57 so it's reasonable.
2nd option: [tex]3\cdot 3.14 = 9.42[/tex], this isn't close to 28 at all.
3rd option: [tex]33 \cdot 3.14 = 103.62[/tex], this isn't close to 80 at all.
So the 1st option is reasonable.
Hope this helped!
Answer:
First option: 18 inches diameter, 57 inches circumference
Step-by-step explanation:
Circumference of a circle is...
2 * radius * pi
We can approximate pi (3.14159...) to 3.
So the circumference of a circle is approx.
2 * radius * 3
We know the diameter of a circle is 2 times the radius...
diameter = 2 * radius
Thus, the circumference of a circle is approximately...
diameter * 3
First option:
Diameter 18, circumference 57
Let's try our approximation
18 * 3 = 54
We see that 57 is pretty close and is a reasonable approximation.
Second option:
Diameter 3, circumference 28
3 * 3 = 9
Not even close to 28.
Third option:
Diameter 33, circumference 80
3 * 33 = 99
Closer, but much further off than our first option.
The sum of two consecutive integers is 345. What are the integers? need help with it
Answers
Answer:
hi there ☺️
Here we will use algebra to find three consecutive integers whose sum is 345. We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 345. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 345
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 345
3X + 3 = 345
3X + 3 - 3 = 345 - 3
3X = 342
3X/3 = 342/3
X = 114
Which means that the first number is 114, the second number is 114 + 1 and the third number is 114 + 2. Therefore, three consecutive integers that add up to 345 are 114, 115, and 116.
114 + 115 + 116 = 345
We know our answer is correct because 114 + 115 + 116 equals 345 as displayed above.
Step-by-step explanation:
pls rate me the brainiest
Identify the property that justifies the statement: If 3x=-21, then x=-7.
Answers
2 GEOMTERY QUESTIONS
Answers
Answer:
first part c
second part d
Step-by-step explanation:
complimentary angles add up to 180
your looking for the halfway so the distace apsrt was 8 you divide that by 2 to get 4
Answer:
third one and the 2nd ? is 4
Step-by-step explanation:
complementary =180
between 8 and -2 is 4
Please help I’m begging you and explain pls
Answers
Answer:
what is the question?
Step-by-step explanation:
show the full picture
What graph is defined by the function (x+3)(x+3)? (apex)
Answers
Answer:
graph A
Step-by-step explanation:
(x+3)(x+3) is the x-intercepts of the parabola.
x+3=0 is how to determine the x-intercept.
x= -3
Since both of them are -3, the graph would be A, because the part where the graph touches the x axis is -3.
1. A taxicab ride costs $1.30 plus $0.85 per mile. If the total cost of the trip
is $11.50, how many miles did the passenger travel?
Answers
Answer:
Step-by-step explanation:
the answer is 12 miles okay so subtract $1.30 from the $11.50 because that is the prize pf being in the car then the pries of a mile is $0.85 if that the case $11.50 -$1.30 would equal $10.2 and $10.2 divide $0.85 is 12 hopefully this helps
Your hourly salary increased from $14 to $29. What is the percent increase in your
salary?
Answers
Answer:
107%
Step-by-step explanation:
$14 to $29
Original number/start = $14
End number = $29
Increase = $29 - $14 = $15
% increase = Increase ÷ Original Number × 100
Substitute in known values
% increase = 15 ÷ 14 × 100
Divide
% increase = 1.07 × 100
Multiply
% increase = 107%
The percentage increase is 107%
Hope this helps :)
Answer:
107%
Step-by-step explanation:
percent change = (new number - old number)/(old number) * 100%
new number = 29; old number = 14
percent change = (29 - 14)/14 * 100%
percent change = 15/14 * 100%
percent change = 107%
Fabienne rolls a ball 72 inches across the floor. This is 9 times the distance that Olivier rolls his ball across the floor. Let n represent the number of inches Olivier rolls his ball.
How many inches does Olivier roll his ball?
Select each equation that can be used to solve this problem.
Answers
Answer:
8 inches
Step-by-step explanation:
Oliver rolls his ball 1/9th of the distance Fabienne rolls his, so just divide 72 by 9 to get your answer.
Answer:
Oliver rolls his ball 8 inches.
the equation that was used to solve this was : 9n = 72 inches.
Step-by-step explanation:
Since the 72 inches was nine times the distance that Oliver rolled his ball, it means that the unknown number (n), was multiplied by 9 to get Fabienne's inches. So, 9n = 72.
divide both sides by the number next to the unknown to get (n), the number of inches that Oliver rolled his ball.... which is 8.
A used automobile dealership recently reduced the price of a used compact car by 6%. If the price of the car before discount was $18 800, find the discount and the new price?
Answers
Answer:
The discount = $1,128
New price = $17,672
Step-by-step explanation:
Price of car before discount = $18,800
Discount given = 6% of price of car
Discount value in dollars = 6% of $18,800 = 6/100*$18,800 = $1,128
Thus, the discount is $1,128
New price = Price of car before discount - discount = $18,800- $1,128
New price = $17,672
Geometry:Finish the coordinate rule for a 90 degree rotation.
(x,y)—>
Answers
Answer:
(-y,x) The coordinates are switched and the y becomes a negative.
can you Evaluate 10⁰
Answers
Answer:
10⁰ =1
why?
because when everything ⁰ =1
hope it helped you:)
For a snack, Sameer ate a plum with 32 calories and several strawberries with 4 calories each. If the total of calories in Sameer’s snack was 56, how many strawberries did he eat?
Answers
Answer: 6
Step-by-step explanation:
So to find the answer, we would use the equation 32+4x=56 where as x represents the amount of strawberries Sameer ate. Now to solve for x
56-32=4x
24=4x
now divide 4 from bboth sides of the equation getting:
x=6
so Sameer ate 6 strawberries
select all equations that have the same solution as 3x - 12=24
Answers
Answer:
4
Step-by-step explanation:
3x-12=24
-12 to both sides
3x-12-12=24-12
3x=12
3x/3=12/3x
x=4
Write an algebraic expression for each phrase.
1) the product of -3 and a number s
2) a number v divided by 12
3) the quotient of a number m and 10
4) the sum of 4 and a number f
Answers
Answer:
-3a
V/12
M/10=x
4f
Step-by-step explanation:
I hope this is the answer not sure...
The temperature reading on a thermometer is 25 degrees F at noon. During the afternoon the temperature changes. What is the new reading if the temperature rises 10 degrees?
Answers
Answer:
35*F
Step-by-step explanation: aren't you just adding?
If x-(-15)=23, what is the value for x?
Answers
Answer:
8
Step-by-step explanation:
When there are 2 minuses, they convert into + so that the ewuation turns into:
x+15=23
Then you move the +15 after the = sign
Now that you changed the side, you have to change sign so :
x= 23-15
x=8
A scuba diver was 53 below the oceans surface. If he rises 25 feet, what is hte new depth?
Answers
Answer:
28 ft below the surface.
Step-by-step explanation:
A scuba diver was 53 below the oceans surface. If he rises 25 feet, what is the new depth?
You subtract 25 ft from 53 ft leaving you with 28 ft.
53 ft
- 25 ft
28 ft below the surface
Hope this helps.
-3+5-(-1) Can anyone helpppp
Answers
Answer:
3
Step-by-step explanation:
- 3 + 5 - (-1)
We are subtracting a negative so it becomes a positive.
- 3 + 5 + 1
-3 + 6 = 3
Step-by-step explanation:
Remember: We have to know the PEMDAS rule: Parenthesis first, then Exponents, then mulitplication/division, and then addition/subraction.
Since -1 is in parenthesis, we solve for that first. 5-(-1) is equal to 5+1, which is equal to 6. Then, we solve from left to right: -3 + 6, which is 3.
Our final answer: 3
select all true statements about the angles in the figure
Answers
solve for v 2(3v+8)=70
Answers
Answer:v = 9
Step-by-step explanation:
Simplifying
2(3v + 8) = 70
Reorder the terms:
2(8 + 3v) = 70
(8 * 2 + 3v * 2) = 70
(16 + 6v) = 70
Solving
16 + 6v = 70
Solving for variable 'v'.
Move all terms containing v to the left, all other terms to the right.
Add '-16' to each side of the equation.
16 + -16 + 6v = 70 + -16
Combine like terms: 16 + -16 = 0
0 + 6v = 70 + -16
6v = 70 + -16
Combine like terms: 70 + -16 = 54
6v = 54
Divide each side by '6'.
v = 9
Answer: the answer is 9
Step-by-step explanation:
1. open the bracket by multiplying: 2(3v+8)=70
6v+16=70
2. take the 16 over the equals sign. note:(the plus sign in front of the 16 changes to a minus sign.)
6v=70-16
6v=54
3. divide both sides by 6
6v/6=54/6
final answer: v=9
Determine the reason for step 1 in the following algebraic proof.
Answers
Answer:
Option (3)
Step-by-step explanation:
Given : 3x + 12 = 8x - 18
To prove : x = 6
Statements Reasons
1). 3x + 12 = 8x - 18 1). Given
2). 12 = 5x - 18 2). Subtraction property of equality
3). 30 = 5x 3). Addition property of equality
4). 6 = x 4). Division property of equality
5). x = 6 5). Symmetric property
For step 1 in the given proof Option (3) will be the answer.
what is 8 to the power of negative 1
Answers
Answer:
8
Step-by-step explanation:
You invest $1,250 in a stock. The value of the stock goes up 3.2% and you sell it. How much money did you make?
Answers
Answer:
$1290
Step-by-step explanation:
1250x3.2%=40
1250+40=1290
Step-by-step explanation:
100:1250
103.2:x
(103.2x1250)/100
=1290
he made additional $40
It takes 45 minutes to drive to the nearest bowling alley taking city streets going
30 miles per hour (mph). How long will it take to get there using the freeway
going 65 mph if the distance is the same? (Round to the nearest minute). *
30 minutes
23 minutes
58 minutes
22.5 minutes
21 minutes
Answers
Answer:
21 minutes
Step-by-step explanation:
Given the following :
Taking CITY STREET:
Time taken to drive to nearest bowling alley = 45 minutes = 45/60 = 0.75 hours
Speed of travel = 30 miles per hour
Taking FREEWAY:
speed of travel = 65miles per hour
If the distance to bowling alley is the same along both routes, The time taken along FREEWAY will be :
.
Distance to bowling alley taking city center :
Speed = distance / time
30 mph = distance / 0.75 hour
Distance = 30 × 0. 75 = 22.5 miles
Since distance is the same :
Time taken along FREEWAY :
Time taken = distance / speed
Time taken = 22.5 / 65 = 0.3461538 hour
Converting to minutes :
0.3461538 × 60 = 20.769 minutes
= 21 minutes ( to the nearest minute)
If the square root of a number is equal to twice the same number what is the number?
Answers
A square root of a number is a value that, when multiplied by itself, gives the number. Example: 4 × 4 = 16, so a square root of 16 is 4. ... The symbol is √ which always means the positive square root.
Let $A=(0,1),$ $B=(2,5),$ $C=(5,2),$ and $D=(7,0).$ A figure is created by connecting $A$ to $B,$ $B$ to $C,$ $C$ to $D,$ and $D$ to $A.$ The perimeter of $ABCD$ can be expressed in the form $a\sqrt2+b\sqrt{5}$ with $a$ and $b$ integers. What is the sum of $a$ and $b$?
Answers
Answer:
12
Step-by-step explanation:
thet u go!!!!
What is the coefficient in the expression 3n + 8?
Answers
Answer:
3
Step-by-step explanation:
Coefficient: A numerical or constant quantity placed before and multiplying the variable in an algebraic expression
The coefficient in the expression 3n +8 is; 3.
Discussion;
By definition, a coefficient is termed a multiplicative factor in some term of a polynomial, a series, or any expression as the case may be.
A coefficient is usually a number, but may be any expression. When the coefficients are variables, they are often called parameters.Read more on coefficients;
https://brainly.com/question/10726089
Consider a function that describes how a particular car’s gas mileage depends on its speed. What would be an appropriate domain for this function? 0 to 100 miles per hour 0 to 50 miles per gallon times from 0 to 10 minutes times from –10 to 10 minutes
Answers
Answer:
0 to 100 miles
Step-by-step explanation:
Trust me I know say thanks ppl
An altitude of a three-dimensional object is best described as option D, "a segment that is perpendicular to the planes containing the two bases."
What is 3d geometry?3D geometry is the study of shapes in 3D space using three coordinates: x-coordinate, y-coordinate, and z-coordinate. To discover the exact location of a point in 3D space, three criteria are required.
An altitude is a line segment drawn from a vertex of a three-dimensional object (such as a pyramid or cone) that is perpendicular to the plane including the base of the object. The altitude can be used to find the height of the object, which is the distance from the vertex to the base along the altitude.
For example, in a pyramid, the altitude is a line segment drawn from the apex (the top vertex) to the center of the base that is perpendicular to the base. In a cone, the altitude is a line segment drawn from the apex to the center of the circular base that is perpendicular to the base.
Learn more about 3d -geometry here:
https://brainly.com/question/15451289
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What type of parent function is this? What is the domain and range of this function? write it in interval notation
Answers
Answer:
See below.
Step-by-step explanation:
This is a parabola. Therefore, it is a quadratic parent function. The quadratic parent function is:
[tex]f(x)=x^2[/tex]
The domain of the parent quadratic function is all real numbers.
The range of the parent quadratic function is all y-values greater than or equal to 0. From the graph, we can see that the graph never goes below 0.
So, the domain in interval notation is:
[tex](-\infty,\infty)[/tex]
And the range in interval notation is:
[tex][0,\infty)[/tex]
This is interpreted as all values greater than or equal to 0.
And we're done!