Answer:
62
Step-by-step explanation:
another way to write this is
x - 12 = 50
the answer is 62
62 - 12 = 50
Mara is building a set of shelves supported by a diagonal brace, as shown in the diagram. Answer the questions to decide whether all three shelves are parallel. 1. If ∠2 measures 120°, what is the measure of ∠1? Explain how you found the measure of ∠1. (The image) Write your answer in the space below. 2. Think of the top and middle shelves as two lines cut by a transversal. What type of angles are ∠1 and ∠5? Write your answer in the space below. 3. Use the relationship between ∠1 and ∠5 to decide whether the top and middle shelves are parallel. Write your answer in the space below. 4. Is the bottom shelf parallel to the top shelf? Explain. Write your answer in the space below. 5. Is the bottom shelf parallel to the middle shelf? Explain. Write your answer in the space below.
Answer:
Step-by-step explanation:
1). Since, m∠1 + m∠2 = 180° [Supplementary angles]
If m∠2 = 120°
m∠1 + 120° = 180°
m∠1 = 180° - 120°
m∠1 = 60°
2). If a transversal intersects two parallel lines on the top and middle,
∠1 and ∠5 will be corresponding angles.
3). Since, m∠1 = m∠5 = 60° (Corresponding angles)
Therefore, both the lines on top and middle will be parallel.
4). Since, m∠9 + m∠11 = 180° [Supplementary angles]
If m∠11 = 120°
m∠9 + 120° = 180°
m∠9 = 60°
Since, m∠1 = m∠9 = 60° [Corresponding angles]
Therefore, both the lines on the top and bottom shelves will be parallel.
5). Since, m∠5 = m∠9 = 60° [Corresponding angles]
Therefore, middle and bottom shelves will be parallel.
Solve for n. Make sure to show all your work. {10}{8}={6}{n-7}
Answer:
20 1/3
Step-by-step explanation:
(10*8=80)=(6*[20 1/3-7])
The local humane society is restocking on cat food to prepare for kitten season. Very young kittens need kitten formula which costs $3.99 per bottle. Older kittens need wet cat food which costs $1.50 per can.
Answer:
ow much money (before tax) will the humane society spend if they buy 30 bottles of kitten formula and 120 cans of wet food ?
PART C) if you add 7% sales tax to the purchase of the bottles of kitten formula and cans of wet cat food , how would the algebraic expression used in parts A and B change
Step-by-step explanation:
Answer:
ow much money (before tax) will the humane society spend if they buy 30 bottles of kitten formula and 120 cans of wet food ?
Step-by-step explanation:
What is the distance between points (2,3) and (7.0) to the nearest tenth?
Answer:
5.1 rounded to the nearest tenth
Step-by-step explanation:
Complete this in your book on page 39, then take a picture and upload it here. Here is Trapezoid A in the coordinate plane: Draw Polygon B, the image of A, using the y-axis as the line of reflection. Draw Polygon C, the image of B, using the x-axis as the line of reflection. Draw Polygon D, the image of C, using the x-axis as the line of reflection.
ok.................................................thank you
Answer:
b
Step-by-step explanation:
hhufytcyttfyrcyfcyttcycyrcyrcgrchggvgfchgfcggfcgfcgfcfgcgfc
Describe the difference between an addition problem and a sum.
Answer:
The addition problem is the equation of which you have to solve. The sum is the answer to that problem...
Answer:
an addition problem is an entire equation, the blueprint of something. it shows how you got your answer and what you had to do to find it. a sum is like the final product, you use the blueprints (the problem) to get the house (the sum) the sum is the result of everything you did to work out the problem
Teresa runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?
Answer:
She would run about 5.8 miles in 64 min.
Step-by-step explanation:
Let m= miles per minute
7=80m divide 80 on both sides.
0.0875=m Round
0.09 miles per minute
0.09 x 64= 5.76 round or leave it like that
5.8
Answer:
[tex]\boxed {\tt 5.6 \ miles}[/tex]
Step-by-step explanation:
Let's set up a proportion using the following setup:
[tex]\frac{miles}{minutes}= \frac{miles}{minutes}[/tex]
We know Teresa can run 7 miles in 80 minutes.
[tex]\frac{7 \ miles}{80 \ minutes}=\frac{miles}{minutes}[/tex]
We don't know how many miles she can run in 64 minutes. Therefore, she can run x miles in 64 minutes.
[tex]\frac{7 \ miles}{80 \ minutes}=\frac{x \ miles}{64 \ minutes}[/tex]
[tex]\frac{7}{80} =\frac{x}{64}[/tex]
We want to solve for x ( miles in 64 minutes). We must isolate x on one side of the proportion. x is being divided by 64 and the inverse of division is multiplication. Multiply both sides of the equation by 64.
[tex]64*\frac{7}{80} =\frac{x}{64}*64[/tex]
[tex]64*\frac{7}{80} =x[/tex]
[tex]64*0.0875=x[/tex]
[tex]5.6=x[/tex]
x= 5.6 miles
Teresa can run 5.6 miles in 64 minutes.
American eat an average of 100 acres of pizza per year this is equivalent to 4,356,000 square feet of pizza per year how is area express using scientific notation
Answer:
4.356 × 10⁶ square feet or 4.356 × 10⁶ ft² of pizza per year
Step-by-step explanation:
Scientific notation is a means, method or way that is used in mathematics to write very large or small real numbers in a very short form or compressed form.
Scientific notation uses exponents or 10 raised to the power of a particular number to write huge or small real number in a decimal form.
In the question, we are asked to express the area in square feet as a scientific notation.
The area = 4,356,000 square feet of pizza per year
4,356,000 square feet of pizza per year in scientific notation =
4.356 × 10⁶ square feet of pizza per year.
A circular pool has a diameter of 16 meters. What is the area and circumference of the pool? Circumference: 50.24 meters; Area: 200.96 square meters Circumference: 50.24 meters; Area: 803.84 square meters Circumference: 100.48 meters; Area: 200.96 square meters Circumference: 100.48 meters; Area: 803.84 square meters
Step-by-step explanation:
Circumference = πD
= 16π
= 50.265482457437
Area =
π( D )2
2
= 64π
= 201.06192982975
The Circumference of the circle is 50.24 meters and The area of the circle is 200.96 meters.
What is the Circumference of a Circle?
A circle's perimeter is known as its circumference. It is the circumference of the circle as a whole. A circle's circumference is calculated by multiplying its diameter by the constant. This measurement of a circle's diameter is necessary for someone crossing a circular park or for enclosing a circle. The units for the circumference, which is a linear variable, are the same as those for length. A circle is a closed, rounded shape whose border points are all equally spaced out from the center. The diameter and area of a circle are two crucial measurements of a circle.
What is the Area of a Circle?
The space a circle takes up on a two-dimensional plane is known as the area of the circle. Alternately, the area of the circle is the area included inside the circumference or perimeter of the circle. A = r×r×pi, where r is the circle's radius, is the formula for calculating a circle's surface area.
So, here in the question, It is given that:
The diameter of the circle (d) = 16 meters
and we know that the Radius of a circle is half of the diameter.
That is,
[tex]d = 2r[/tex]
⇒[tex]r = \frac{16}{2}[/tex]
⇒[tex]r = 8 m[/tex]
So,
Circumference of the circle = 2πr
⇒Circumference = 2×3.14×8
⇒Circumference = 50.24 meters.
And, Area of the circle = π×r×r
⇒Area = 3.14×8×8
⇒Area = 200.96
Hence,
Circumference of the circle = 50.24 meters;
Area of the circle = 200.96 meters;
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Write this equation in slope-intercept form by isolating the y-variable. 12x = 4y y= x
Answer:
3x
Step-by-step explanation:
I took the the answer so I know it
Answer: 3
Step-by-step explanation: On Edge!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What are the domain and range of the function represented by the table?
Answer:
C
Step-by-step explanation:
Apex
The domain of the function is (-8, -6, -4, -2,0) and the range is 2. The correct option is C.
What are a range and domain?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x).
A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
The given data is as below:-
x ( -8, -6, -4, -2, 0 )
y ( 2 , 2 , 2 , 2 , 2 )
For all the values of x, the output is 2. The domain of the function is (-8, -6, -4, -2,0) and the range is 2.
Therefore, the domain of the function is (-8, -6, -4, -2,0) and the range is 2. The correct option is C.
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please help!! 60 points
Answer:
what your qution
Step-by-step explanation:
Last month Maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. Let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. If she hiked a total of 90 miles, which equation can be used to find the number of times Maria hiked each trail?
x + y = 90
5x – 10y = 90
90 – 10y = 5x
90 + 10y = 5x
Which shows the correct solution of the equation, when ?
Answer: 5x-10y=90
Step-by-step explanation:
Answer:
Answer: 5x-10y=90
Step-by-step explanation:
Which is the graph of y = (x – 1)4 – 3?
Answer:A
Step-by-step explanation:
The graph of the given function y = (x – 1)4 – 3 is attached below.
How do we make graph of a function?Suppose the considered function whose graph is to be made is; f(x)
The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values; f(x) are plotted on the vertical axis.
They are together plotted on the point
(x,y) = (x, f(x))
This is why we usually write the functions as:
y = f(x)
The given function is y = (x – 1)4 – 3
The graph of the given function is attached below.
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Which graph does not represent a function
Answer:
When two or more y values go into one x value.
Step-by-step explanation:
X. Y
3—4 and also 10
what is 129.444... rounded to the nearest whole number?
Answer:
It is 129
Step-by-step explanation:
Since all the digits in the decimal from right to left are less than 5, they all are nearest to 0
So 129.444 can be rounded to 129.000 or 129
I don’t get it ..............
Answer:
there is no question
Step-by-step explanation:
Answer:
same here my dude
Step-by-step explanation:
Which division problems below have the same quotient as –27 ÷ 9? Check all that apply.
3 ÷ 1
18 ÷ (–6)
–6 ÷ –2
27 ÷ (–9)
–15 ÷ –5
–9 ÷ 3
Answer:
B D F
Step-by-step explanation:
I am just here to clarify.
Answer:
Probaly isnt usefull anymore but to whoever still needs to know its B, D, F or 18 ÷ (–6), 27 ÷ (–9), and –9 ÷ 3
Step-by-step explanation:
What percent of 56 is 44.8
Answer:
80%
Step-by-step explanation:
1. We assume, that the number 56 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 56, so we can write it down as 100%=56.
4. We know, that x% equals 44.8 of the output value, so we can write it down as x%=44.8.
5. Now we have two simple equations:
1) 100%=56
2) x%=44.8
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=56/44.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 44.8 is what percent of 56
100%/x%=56/44.8
(100/x)*x=(56/44.8)*x - we multiply both sides of the equation by x
100=1.25*x - we divide both sides of the equation by (1.25) to get x
100/1.25=x
80=x
x=80
now we have:
44.8 is 80% of 56
Answer:
Hi there!!
Your answer is:
44.8 is 80% of 56!
Step-by-step explanation:
56 = 100%
/56
1 = 1 &11/14
×44.8
44.8 = 80%
I hope this helps!
A little hard! anyone helping hand
Answer: D is the answer
Step-by-step explanation:
Answer:
14,000 43,043 143,341 341,143
Step-by-step explanation:
ANSWER FAST! Which expression is equivalent to 7^3•7-^5
7^3x7^-5
7x7x7=343
-7x-7x-7x-7x-7=-16807
343x-16807
-5764801
hope it helps!
if not, sorry...
what is 7x + 6 +2x = 60 .
Answer:
[tex]x = 6[/tex]
Step-by-step explanation:
[tex]7x + 6 + 2x = 60 \\9x + 6 = 60[/tex]
add [tex]-6[/tex] to both sides
[tex]9x + 6 - 6 = 60 - 6 \\9x = 54[/tex]
Divide both sides by [tex]9[/tex]
[tex]\frac{9x}{9} = \frac{54}{9}[/tex]
[tex]x = 6[/tex]
Need help... Solve this Word Problem
S is a three digit number.
Determine the digits of S from the clues.
All the digits are odd.
The last two digits add to make ten.
The first and last digits add to make eight.
The first two digits add to make twelve.
y+z=10
x+z=8
x+y=12
(y+z)-(x+z)=10-8
y-x=2
y-x=2
y+x=12
solve simultaneously
x=5, y=7
then substitute to get z=3
hence xyz=573
What is the difference between defined and undefined terms?
Answer:
An undefined term is a term that can't be defined so easily. There really isn't a definition to define such terms. Consider the word "the." We use the word "the" all of the time, but do we really know how to define the word "the?" "Am" is another word that can't be defined so easily.
Answer:
defined is something that is described or already known and undefined is something that's is unknown
Which of the following questions represents this equation?
m + 13 = 21
What number when increased by 21 is equal to 13?
What number when subtracted from 13 is equal to 21?
The sum of what number and 13 is equal to 21?
What number when multiplied by 13 is equal to 21?
Answer:
The sum of what number and 13 is equal to 21?
Step-by-step explanation:
If f(x) = x^2+x-3, then f(3a) =
(a) 3a^2+3a-3
(b) a^2+3a-3
(c) 3a^2+3a+3
(d) 9a^2+3a-3
(e) 9a^2-3a+3
Answer:
A
Step-by-step explanation:
With functions all you need to do is substitute in the passed value for x.
which number line represents the solution to |-2x|=4
Answer:
i believe its the second number line
Answer:
C I think hope this helps
Lucia drew a net for the design of her art project. Which term best describes the three-
dimensional shape that Lucia is designing?
Answer:
Triangular Prism
Step-by-step explanation:
Given
The sketch in the attached diagram
Required
Determine the shape it represents
Analyzing the options 1 after the other
Triangular Prism:
This has 5 sides; 2 of which are triangles while the other are rectangles
Rectangular Prism
This, in other words represents a cuboid
Triangular Pyramid
This has 4 sides, all of which are triangles
Rectangular Pyramid
This has 5 sides; 4 of which are triangles while the last is a square of rectangle.
From the analysis above, the best option that answers the question is The Triangular Prism because it perfectly describes Lucia's drawing
find the difference 58.84 - 2.78
Answer:
56.06
Step-by-step explanation:
58.84
-- 2.78
______
56.06
I don't really know how else to explain this, but there ya go! Goodluck on your test or whatever you're doing! Stay safe ♥♥♥
The difference between the given decimal numbers is 56.06.
The given decimal numbers are 58.84 and 2.78.
We need to find the difference between the given decimal numbers.
How to find the difference between the decimal numbers?To subtract decimals, begin by writing the numbers in a column, with the decimal points aligned. If necessary, add zeroes as placeholders to make sure there are values in each column. Subtract from right to left. Write the decimal point in the difference directly below the decimal point in the subtrahend.
Now, 58.84 - 2.78=56.06
Therefore, the difference between the given decimal numbers is 56.06.
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What did Owen do wrong?
Answer:
I think he forget to use the square root
