Answer:
12°
Step-by-step explanation:
The two shaded angles are alternate-interior angles
(Either side of the transversal line, and inside both parallel lines, AB||CD)
10x + 5 = 12x - 19
10x + 24 = 12x
24 = 2x
x = 12
If my answer is incorrect, pls correct me!
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-Chetan K
Answer:
x=12
Step-by-step explanation:
You set 10x+5 equal to 12x-19. then you solve like a regular equation to get x
What is the slope of the line shown?
is 2π greater than √44
9514 1404 393
Answer:
no
Step-by-step explanation:
2π ≈ 6.28
√44 ≈ 6.63
2π < √44
Give the correct model for the situation.
Zoey earns $20 an hour babysitting plus a $5 flat rate for gas. How many hours must Zoey work to earn at least $125?
Group of answer choices
A) 20h+5≥125
B) 20h+5=125
C) 20h+5≤125
D) 20h−5=125
Answer:
A) 20h+5≥125
Step-by-step explanation:
total amount = flat rate + amount per hour * hours worked
She wants to earn at least 125
125≤ 5 + 20h
Rewriting
5 + 20h ≥ 125
Answer:
Option a. 20h+5≥125 is the correct answer
Help 30 points please
Answer:
x = 1 or
x = - 7
To get rid of the square root. Isolate the square root and it's multiple. Then square both sides to get rid of it. Don't forget to square the multiple, in this case - 2 becomes 4. Solve for x like you normally do.
Please help
g(x) =
x² - 6
3x + 10
?
g(4)
=
Be sure to simplify your answer.
[tex]g(x)=\dfrac{x^2-6}{3x+10}\\\\\\g(4)=\dfrac{4^2-6}{3\cdot4+10}=\dfrac{16-6}{12+10}=\dfrac{10}{22}=\boxed{\frac{5}{11}}[/tex]
A king Palm can grow about 21 feet a year . Estimate the height of the kind palm , yard ,after 15 years
Answer:
10.5 yards after 15 years
Step-by-step explanation:
2.1 feet times 15 years, which equals to 31.5 feet, convert 31.5 feet into yards, so divide it by 0.3, and that equals to approximately 10.5 yards
The length of a rectangle is twice its width.
If the perimeter of the rectangle is 54 yd, find its length and width.
Answer:
Length 18 yds, Width 9 yds
Step-by-step explanation:
2x + 2x + x + x = 54
Combine like terms
6x = 54
Divide both sides by 6
x = 9
Plug 9 into equation above
2(9) + 2(9) + 9 + 9 =
18 + 18 + 18 = 54
n - 5.5 = 8.3 please help ASAP
Answer:
= 2.8
Step-by-step explanation:
8.3 - 5.5 = 2.8
= 2.8
A marching band takes 5 steps forward and 3 steps back during the Republic Day parade. According to this, since the wind in this marching band took a total of 460 steps, how many steps did he go from the starting point?
solution please
Answer:
its just one step forwards 3 steps back
Step-by-step explanation:
im sorry i hate that song its ew
Answer:
Step-by-step explanation:
if you need an answer I would be 112 given the information in the question,
but there seems to be something wrong (probably my interpretation) ..
here is the logic (and why there is an issue) ....
Assuming that every "movement" is "5 forward, then 3 back"
we can assume that every movement takes 8 steps ...
given this one would assume that the total steps has to be a multiple of 8 (but it is not)
460/8 is 57.5 ....
let us assume that came out even... every movement has five forward and three back a net result of 2 forward... if the is repeated 57.5 time the result would be 112 steps forward
it is the 57.5 that does not seem correct
1 square meters to square centimeters
*16. Camping Norman's camping tent has a volume of 72.576 cubic inches. What is the
volume of the tent in cubic feet?
1 square meter is equivalent to 0.0001 square centimeter
72.576 cubic inches. in cubic feet is 0.042 cubic feet
Conversion in math is a way of changing the value of an expression using units.
1) In order to change 1 square meter to square centimeters, we will use the conversion
1m = 0.01cm
Taking the square of both sides
(1m)² = (0.01cm)²
1m² = 0.01cm * 0.01cm
1m² = 0.0001cm²
This shows that 1 square meter is equivalent to 0.0001 square centimeter
2) We are to convert 72.576 cubic inches to cubic feet. Using the conversion factor:
1 cubic inch = 0.000578704 cubic feet
72.576 cubic inches = x
Cross multiply
x = 72.576 * 0.000578704
x = 0.042 cubic feet
This shows that 72.576 cubic inches. in cubic feet is 0.042 cubic feet
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Greg can type 60 words in 50
seconds. At that rate, how
many seconds would it take
him to type 258 words?
Answer:
215
Step-by-step explanation:
60=50
258=?
258 divided by 60 = 4.3
50 x 4.3 = 215
Sandy can read 25 words in 5 seconds. At that
rate
Answer:
5 words a second because 5÷25 is 5 so in 1 second she reads 5 words
25 POINTS HELP ME ASAPPPPPPPPPPPPPPPP!!!!!!
Answer:
1/6?
Let's do it...
( (3^(3/4))/(3^(3/8)) )^4/9
According to indices rules here the denominator and numerator has the same base and they are dividing so the powers will subtract..... Its just a formulae not rocket science so don't freak out.
So ( 3^(3/4 - 3/8)) ^4/9
= ( 3^(3/8)) ^4/9
Again with indices rule the powers will multiply
Which will return us 3^1/6 which corresponds 3^x..... Hence x =1/6
Thank you
[tex] \boxed{ \boxed{x = \frac{1}{6} }}[/tex]
Solution :[tex] \hookrightarrow \: {\bigg( \dfrac{3 {}^{ \frac{3}{4} } }{ {3}^{ \frac{3}{8} } } \bigg) }^{ \frac{4}{9} } [/tex]
[tex] \hookrightarrow \: {(3 {}^{ \frac{3}{4} } \div 3 {}^{ \frac{3}{8} } ) } ^{ \frac{4}{9} } [/tex]
[tex] \hookrightarrow \: {(3 {}^{ \frac{3}{4} - \frac{3}{8} } ) }^{ \frac{4}{9} } [/tex]
[tex] \hookrightarrow \:{ (3 {}^{ \frac{3}{8} } ) }^{ \frac{4}{9} } [/tex]
[tex] \hookrightarrow \: 3 {}^{ \frac{3}{8} \times \frac{4}{9} } [/tex]
[tex] \hookrightarrow \: {3}^{ \frac{1}{6} } [/tex]
therefore,
the required value of x is 1/6
Convert to decimal form 5.23 multiply by 10 minus 8
Answer:
10.46
Step-by-step explanation:
I wasn't too sure what you meant by this but I solved it the best I could.
5.23(10-8)
5.23(2)
10.46
Your 5 neighboring restaurants charge $9.95, $12.95, $8.50, $8.95, and $10.50 for a hamburger special. What is the mean price?
Answer:
$10.17
Step-by-step explanation:
Mean simply is defined as "average", so the average price of a hamburger across five resturaunts is found by adding all of the prices together and then dividing by the number of prices there are.
9.95 + 12.95 + 8.50 + 8.95 + 10.50 = 50.85 dollars, which then you divide by 5, and end up with the solution: $10.17
Answer:
10.17 ……
10.10
Step-by-step explanation:
x
757 - 68 =?
Write your answer as a whole number and remainder.
Answer:
689
Step-by-step explanation:
just subtract.
how can you find out the mass of a marble
If she wants the track to have a circumference of 150 feet,what does the radius of the track need to be
Answer:
the radius will need to be 150/2(pi) feet or roughly 23.87 feet
Step-by-step explanation:
equation for circumference is C = 2(pi)r
divide C (which is 150) by 2(pi)
150/2(pi) roughly equals 23.87.
A coat that normally sells for $48.50 is on sale for 12% off. What is the amount of the discount?
Answer:
The discount is 5.82
Step-by-step explanation:
To find the amount of the discount
48.50 * 12%
Change to decimal form
48.50 * .12
5.82
The discount is 5.82
Question 9 of 10
If f(x) = 2x^2+ 1 and g(x) =x^2 - 7, find (f – g)(x).
O A. 3x2 + 8
B. 3x2 - 6
C. x2 - 6
D. x2 + 8
Answer:
x2 + 8
Step-by-step explanation:
The value of the composite function (f - g)(x) is x² + 8.
The correct option is D.
What is a composite function?Any function that is created by combining two or more other functions is referred to as a composite function. To put it another way, given two functions, f, and g, the composite function of f and g, denoted as f(g(x)), is a new function that applies g to the input x before applying f to the output of g (x).
Given:
f(x) = 2x² + 1 and g(x) = x² - 7.
To find (f – g)(x), we need to subtract g(x) from f(x):
(f - g)(x) = f(x) - g(x)
where f(x) = 2x² + 1 and g(x) = x² - 7.
Substituting these expressions into the equation, we get:
(f - g)(x) = (2x² + 1) - (x² - 7)
Simplifying the expression on the right-hand side by distributing the negative sign, we get:
(f - g)(x) = 2x² + 1 - x² - 7)
Combining like terms, we get:
(f - g)(x) = x² + 8.
Therefore, (f - g)(x) = x² + 8.
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Evelina is shopping for back-to-school clothes. She bought 3 skirts, 2 pairs of
jeans, and 4 sweaters. Write and evaluate an expression to find out how much she
spent.
Answer:
3a + 2b + 4c = D
D = Amount Spent
Step-by-step explanation:
If only two points are needed to determine a line why are three ordered pair solutions or points found for a linear equation
For any two points that we have, we can find a line that passes through them, so the first part is true, only two points are needed to determine a line.
Then you say:
"why are three ordered pair solutions or points found for a linear equation"
A linear equation is something of the form:
y = a*x + b
Where we assume that you know a and b.
Given that case, we can see that we have infinite solutions.
Suppose that you want to solve this for y, then for each possible value of x you will have a different solution, and you can have infinite values of x there, so there are infinite solutions.
Now, what I think you are asking is:
Why we should use 3 points to check if a relation is linear or not?
Well, exactly for the first thing you said. We always can find a line that passes through two given points, but that is not the case for 3 given points.
So, if in a given relation we use 3 points, and we can see that these are collinear, then we can conclude that the relationship gives a linear equation (ideally you could use more than 3 points, but usually is enough)
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What are the solutions of the following system?
[x2 + y2 = 25
2x+y=-5
0 (0,-5) and (-5, 5)
O (0, -5) and (5, -15)
O (0,-5) and (-4, 3)
O (0, -5) and (4, -13)
Answer:
5h-fgtx56=y2-6
Step-by-step explanation:
sorry if wrong:(
A dietitian prepares a high-protein drink for 24 residents. If each drink measures 3/4 cup, how many total cups of the drink will she prepare?
Number of cups are 32.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A dietitian prepares a high-protein drink for 24 residents.
And, Each drink measures 3/4 cup.
Let number of cups of the drink will she prepare = x
So, We get;
⇒ 3/4 × x = 24
⇒ x = 24 × 4 / 3
⇒ x = 32 cups
Thus, There are 32 total cups of the drink will she prepare.
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Rotation 180 degrees about the origin
Answer:
Rule for rotation 180° about the origin:
(x, y) → (-x, -y)Given coordinates:
U(1, 0), V(4, -1), T(1, -3)Coordinates of the image, apply the rule above:
U'(-1, 0), V'(-4, 1), T'(-1, 3)3. Which of the following graphs shows the solution set to 4x - 5 2 3 or 5- X > 8?
Inequalities are used to show the relationship between unequal expressions.
See attachment for the graph of [tex]4x - 5\ge 3[/tex] or [tex]5 - x > 8[/tex]
Given that:
[tex]4x - 5\ge 3[/tex] or [tex]5 - x > 8[/tex]
First, we solve for x.
[tex]4x - 5\ge 3[/tex]
Collect like terms
[tex]4x \ge 3+5[/tex]
[tex]4x \ge 8[/tex]
Divide by 4
[tex]x \ge 2[/tex]
[tex]5 - x > 8[/tex]
Collect like terms
[tex]-x > 8 - 5[/tex]
[tex]-x > 3[/tex]
Divide by -1
[tex]x < -3[/tex]
So, we have:
[tex]4x - 5\ge 3[/tex] or [tex]5 - x > 8[/tex] becomes
[tex]x \ge 2[/tex] or [tex]x < -3[/tex]
The graphs are not given. So, I've added as an attachment, the graphs of [tex]x \ge 2[/tex] or [tex]x < -3[/tex]
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25. Critique Reasoning A student is given the rectangle and the square shown. The student states that the
two figures have the same perimeter. Is the student correct? Explain your reasoning.
You only attached the square. Edit the question to add it, and then I'll edit my answer.
HELP PLZ. A circular drum has a radius of 12.25 inches. Karen wants to glue a ribbon around the edge of the drum. If Karen has exactly enough ribbon, which measurement is closest to the length of the piece of ribbon in inches?
The length of a ribbon that will cover the edge of the circular drum is 76.98 in
The given parameter:
radius of the circular drum, r = 12.25 inchesTo find:
the length of a ribbon that will cover the edge of the circular drumThe length of a ribbon that will cover the edge of the circular drum is equal to the circumference of the circular drum.
The circumference of the circular drum = 2πr
The circumference of the circular drum = 2 x 3.142 x 12.25
The circumference of the circular drum = 76.98 in
Thus, the length of a ribbon that will cover the edge of the circular drum is 76.98 in
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Evaluate each arithmetic series described.
a1= 10 d= 8 n= 11
A) 1116
B) 1120
C) 550
D) 1118
[tex]S_n=\frac{a_1+a_n}{2}\cdot n\\\\a_1=10, \ d=8, \ n=11\\\\a_{11}=a_1+10d=10+10\cdot8=10+80=90\\\\S_{11}=\frac{10+90}{2}\cdot11=\frac{100}{2}\cdot11=50\cdot11=\boxed{550}\\\\\text{Answer}:\text{C})[/tex]
The value of the arithmetic series is 550. The correct answer is C) 550.
To evaluate the arithmetic series, we can use the formula:
Sn = (n/2)(2a1 + (n-1)d)
Given:
a1 = 10 (first term)
d = 8 (common difference)
n = 11 (number of terms)
Plugging the values into the formula:
Sn = (11/2)(2(10) + (11-1)(8))
= (11/2)(20 + 10(8))
= (11/2)(20 + 80)
= (11/2)(100)
= 550
Therefore, the value of the arithmetic series is 550.
The correct answer is C) 550.
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Proportions-
Suppose you have a photograph that
has a height of 8 in and a width of 5
in. If you want to enlarge the
photograph so that it has a height of
32 in, how wide will it need to be?
Answer:
the width would be 20 inches
Step-by-step explanation:
32 = 8 × x
32 ÷ 8 = 4
so now multiply 5 by 4 which equals 20 inches