Answer:
a) UXW = 78 b) UWY = 48 c) WZX = 48 d) XYZ = 42
Step-by-step explanation:
There are many ways you can do this, but I'll just describe one for each.
a) Angle YWV is vertical to XWZ, so they are congruent. Angle XWZ is an alternate interior angle with angle UXW, so UXW = 78.
b) All the angles that revolve around point W must add up to 360. We already know 4 angles due to vertical angles, so 78 + 78 + 54 + 54 = 264.
360 - 264 = 96. There are two angles left, and since they are vertical they must be congruent. 96/2 = 48, so angle UWY is 48 degrees.
c) We already know that the angle vertical to UWY is 48, so WZX is also 48 degrees because they are alternate interior angles.
d) Angle UWY is 48 degrees and angle WUY is 90 degrees because of the perpendicular line. Now we can find XYZ, the remaining angle.
90 + 48 = 138. 180 - 138 = 42. So XYZ = 42 degrees.
I hope this helped. I'm open to any questions you may have. :)
Answer:
a) UXW = 78 degrees
b) UWY = 48 degrees
c) WZX = 48 degrees
d) XYZ = 42 degrees
Step-by-step explanation:
Apply rules and theorems:
Angles in a triangle add up to 180 degrees.
Angles on a straight line add up to 180 degrees.
Right angles are 90 degrees.
Vertically opposite angles are equal.
With these we can solve for the angles.
A 54-ounce bottle of fruit juice costs $6.by the unit rates rounded to the nearest cent
Answer:
The unit rate is 0.11 $/ounce
Step-by-step explanation:
we know that
To find the unit rates divide the total cost by the total volume
so
(6/54)=0.11 $/ounce
Before an algebraic fraction is selected as a final answer what should you always check?
Answer:
a variable numerator
Step-by-step explanation:
Answer:
Before an algebraic fraction is selected as a final answer we check that the fractions are reduced with all common factors canceled.
Step-by-step explanation:
Before an algebraic fraction is selected as a final answer, we check that the answer is in the form of p/q, where q≠0 and HCF(p,q)=1.
Let a algebraic equation is
[tex]4x+4=18[/tex]
Subtract 4 from both sides.
[tex]4x=14[/tex]
Divide both sides by 4.
[tex]x=\frac{14}{4}[/tex]
Now cancel out the common factors.
[tex]x=\frac{7}{2}[/tex]
The final answer in algebraic fraction is 7/2.
Therefore, before an algebraic fraction is selected as a final answer we check that the fractions are reduced with all common factors canceled.
what expression is equivalent to the number 28 19/100
Answer:
20 + 8 + 0.1 + 0.09
Step-by-step explanation:
Answer:
20 + 8 + 0.1 + 0.09
20 wholes +8 wholes =28 then...
.1 tenth+.09 hundereths=.19 add..
28+.19=. 28.19
a certain shade of blue is made by mixing 1.5 quarts of blue paint with 5 quarts of white paint. If you need a total of 16.25 gallons of this shade of blue paint, how much of each color should you mix
we know the blue and white paints are on a 1.5 : 5 ratio, thus, if we have a total of 16.25 gallons of paint to be split along that ratio, we can simply divide 16.25 by (1.5+5) and distribute accordingly.
[tex]\bf \cfrac{blue}{white}\qquad \stackrel{ratio}{1.5:5}\qquad \cfrac{1.5}{5}~\hspace{5em}\cfrac{1.5\cdot \frac{16.25}{1.5+5}}{5\cdot \frac{16.25}{1.5+5}}\implies \cfrac{1.5\cdot \frac{16.25}{6.5}}{5\cdot \frac{16.25}{6.5}} \\\\\\ \cfrac{1.5\cdot 2.5}{5\cdot 2.5}\implies \cfrac{3.75}{12.5}\qquad \qquad \boxed{\stackrel{blue}{3.75}~:~\stackrel{white}{12.5}}[/tex]
To find out how much of each color to mix, set up a proportion and solve for x. You will need 3.75 gallons of blue paint and 12.5 gallons of white paint.
Explanation:To find out how much of each color to mix, we can set up a proportion.
Let's say x represents the amount of blue paint needed, and y represents the amount of white paint needed.
We can set up the following equation:
1.5 quarts / 5 quarts = x gallons / (16.25 - x) gallons
Cross multiplying gives us:
5x = 1.5(16.25 - x)
Simplifying the equation gives us:
5x = 24.375 - 1.5x
Combining like terms gives us:
6.5x = 24.375
Dividing both sides by 6.5 gives us:
x = 3.75
So, you will need 3.75 gallons of blue paint and 16.25 - 3.75 = 12.5 gallons of white paint.
David need 36 gallons of punch for a party and has two different cooler to carry I in the bigger cooler is 5 times as large as the smaller cooler how many gallons can each hold?
Small cooler can hold= 6 gallons
and big cooler can hold= 30 gallons
Step-by-step explanation:Let the numbers of gallons hold by a small cooler is: x gallons
and the number of gallons hold by a bigger cooler is: 5x gallons.
( Since it was given that:
The bigger cooler is 5 times as large as the smaller cooler )
Also the total number of gallons of punch for a party is: 36 gallons
Hence, we get:
x+5x=36
i.e. 6x=36
On dividing both side by 6 we get:
x=6
Hence, the number of gallons hold by small cooler is: 6 gallons
and number of gallons hold by big cooler is: 5×6=30 gallons
Ken ate 2⁄7 of the chocolate bar one day and 8⁄14 the next day. How much of the chocolate bar did Ken eat?
Answer:
6/7
In decimal form it would be 0.85714285714
Answer:
6/7
Step-by-step explanation:
Add 2/7 and 8/14:
Recognize that the LCD is 14. Rewrite 2/7 as 4/14.
Then 4/14 + 8/14 = 12/14. This reduces to 6/7.
Ken ate 6/7 of the chocolate bar in two days.
Single bottles are sold for $1.25. A six pack is sold for $7.20. A twelve pack is sold for $13.80 and a case of 24 bottles is sold for $26.40. When you are buying a case of 24, how much less do you pay per bottle than when buying a 12 pack. Show your answer.
Answer: 5 cents less
Step-by-step explanation:
The unit price for the 24 pack would be $1.10 and the unit price for the 12 pack would be $1.15.
Answer:
0.05
Step-by-step explanation:
Tori examined the pattern of exponents in the table.
Answer:
The value of b = 1/36
As exponent decreases, each previous value is divided by 6
If the table was extended, the value of 6^-3 would be 1/216
Step-by-step explanation:
Given in the question a table containing power of 6
We will use negative rule of exponent to write the equivalent of negative power of 6
b^{-n}= 1 / b^{n}
we know that
[tex]6^{1} = 6[/tex]
so
[tex]6^{-1} = \frac{1}{6^{1} }[/tex]
= 1/6
and
[tex]6^{2} = 36\\[/tex]
So,
[tex]6^{-2} = \frac{1}{6^{2} }[/tex]
= [tex]\frac{1}{36}[/tex]
X intercept
Of v^2 +5v+6=0
Answer:
x-intercepts:x = -2 and x = -3 ⇒ (-2, 0) and (-3, 0).Step-by-step explanation:
[tex]f(v)=v^2+5v+6\\\\\text{The x-intercept is for y = 0.}\\\\v^2+5v+6=0\\\\v^2+2v+3v+6=0\\\\v(v+2)+3(v+2)=0\\\\(v+2)(v+3)=0\iff v+2=0\ \vee\ v+3=0\\\\v+2=0\qquad\text{subtract 2 from both sides}\\v=-2\\\\v+3=0\qquad\text{subtract 3 from both sides}\\v=-3[/tex]
PLEASE HELP ASAP!!! What is the exact volume of the cone?
40π cm³
803π cm³
1603π cm³
160π cm³
Answer:
Its the third choice.
Step-by-step explanation:
V = 1/3 pi r^2 h
= 1/3 pi 4^2 * 10
= (160/3) pi cm^3.
Answer:
third one:)
Step-by-step explanation:
i took the k12 test
The values in the table represent a exponential function. What is the common difference of the associated geometric
Answer:
A) 4
Work is shown in attached sheet! :)
Answer:
Option A is correct
Common ratio = 4
Step-by-step explanation:
Common ratio(r) : In a geometric series, the common ratio is the ratio of a term to the previous term.
[tex]r = \frac{a_2}{a_1}=\frac{a_3}{a_2}= \frac{a_4}{a_3}=.....[/tex]
As per the statement:
The values in the table represent a exponential function.
Since, Geometric sequences and exponential functions are very closely related to each other.
At x= 1;
y = 9
At x = 2;
y = 36 and so on....
By definition we have;
[tex]r = \frac{36}{9} =\frac{144}{36}=......[/tex]
After solving we get;
r =4
Therefore, the common ratio of the associated geometric is, 4
what is the mean mode midean and rage of 78 86 88 79 88 88 95 92
Median: Order the numbers from least to greatest and look in the center for the median; if two numbers add together than divide by 2
78,79,86,88,88,88,92,95, so the median is 88 because when 2 numbers are the same, you can just take the shortcut and say it because you are going to get the same number
The mode is 88
The mean is 86.75
And the range is 17
Can I have brainliest if it is correct plz?
Answer:
This person below is correct. (i wrote this so you could mark them brainliest cus you need 2 answers to be able to mark) :)
have a great day
There is a sale for soft drinks, so four stores are competing with each other. Which store offers the best buy? Store A : 12 pack for $3.00 Store B : 22 pack for $5:50 Store C : 18 pack for $4:75 Store D : 36 pack for $8:00
store a single drink cost $3/12 =25c
store b single drink cost $5.50/ 22 = 25c
store c single drink cost $4.75/18 = 26c
store d single drink cost $8/36 = 22c
hence store d offers the best buy
To determine the best buy among four stores selling soft drinks, compare the price per can or pack for each store. Store D offers the best buy with a cost of approximately $0.22 per can.
Explanation:To determine which store offers the best buy, we need to compare the prices per can or pack of each store.
Store A offers a 12 pack for $3.00, so each pack costs $3.00/12 = $0.25 per can.Store B offers a 22 pack for $5.50, so each pack costs $5.50/22 = $0.25 per can.Store C offers an 18 pack for $4.75, so each pack costs $4.75/18 ≈ $0.26 per can.Store D offers a 36 pack for $8.00, so each pack costs $8.00/36 ≈ $0.22 per can.Therefore, Store D offers the best buy with a cost of approximately $0.22 per can.
Learn more about comparing prices here:https://brainly.com/question/29763132
#SPJ2
Please answer this question ASAP.
Let c = angle TPS
This angle adds to angle 'a' to get a+c = 90. We know these angles are complementary because triangle PQR is a right triangle. The acute angles of a right triangle add to 90.
We also know that b+c = 90 for similar reasons. Triangle PST is a right triangle.
So we have these two equations
a+c = 90
b+c = 90
If we were to subtract straight down then we would end up with
a-b = 0
which solves to
a = b
after adding b to both sides
Graph the equation below by plotting the y-intercept and a second point on the line.
The y-intercept is the Y coordinate when X = 0
replace x with 0 and solve for Y:
y = 3/2(0)-5 = -5
The first point using the Y-intercept would be (0,-5)
Now to find another point replace X with another number other than 0 and solve for Y.
Lets use 2:
y = 3/2(2) - 5
y = 3-5 = -2
The second point would be (2,-2)
Now plot those two points and connect with a line.
See attached picture of how it should look:
What values of x satisfy x 2 + 2 x = 24?
- 6, - 4
- 6, 4
6, - 4
6, 4
Answer:
x = -6 x=4
Step-by-step explanation:
x^ 2 + 2 x = 24
Subtract 24 from each side
x ^2 + 2 x-24 = 24-24
x^2 +2x -24 = 0
Factor
What 2 numbers multiply to -24 and add to 2
6*-4 = -24
6+-4 = -2
(x+6) (x-4) =0
Using the zero product property
x+6 =0 x -4=0
x+6-6=0-6 x-4+4=0+4
x = -6 x=4
A number that multiple by itself equal a given number is what
Answer:
I don't understand the question, but...
When you multiply a number by itself, you are squaring it.
For Example:
3 x 3= 9
is the same as...
3^2= 9
The side length, s, of a cube is x – 2y. If V = s3, what is the volume of the cube?
Answer:
The volume of cube = x³ -6x²y + 12xy² - 8y³
Step-by-step explanation:
It is given that,
Side length of cube s = (x - 2y)
Volume of cube = s³
Points to remember
(a - b)³ = a³ - 3a²b + 3ab² - b³
To find the volume of cube
s = (x - 2y)
Volume V = s³ = (x - 2y)³
(x - 2y)³ = x³ - (3 * x² * 2y) + (3 * x * (2y)²) - (2y)³
= x³ -6x²y + 12xy² - 8y³
Therefore the volume of cube = x³ -6x²y + 12xy² - 8y³
Answer:
[tex]x^3 -6x^2y + 12xy^2 - 8y^3[/tex]
Step-by-step explanation:
We are given that the side length (s) of a cube is [tex]x-2y[/tex]. Given that [tex]V=s^3[/tex], we are to find the volume of the cube.
[tex]Volume = (x-2y)^3[/tex]
We know that, [tex](a - b)^3 = a^3 - 3a^2b + 3ab^2 - b^3[/tex]
So expanding the given expression accordingly:
[tex](x-2y)^3 = x^3 - (3 \times x^2 \times 2y) + (3 \times x \times (2y)^2) - (2y)^3[/tex]
Volume of cube = [tex]x^3 -6x^2y + 12xy^2 - 8y^3[/tex]
Simplify (x-5)(x^2-2x-6)
Answer:
x^3 - 7x^2 + 4x + 30
Step-by-step explanation:
The equation is already simplified to its fullest if we're looking at factored form.
Otherwise, just multiply everything out using a punnett square.
Answer:
x^3 - 7x^2 + 4x + 30
Step-by-step explanation:
I just did this one hope this helps
What is area of this face
Answer:
The area of that face is 28
Step-by-step explanation:
because 10 x 2 = 20 and 2x2=4 and 2x2=4 so add all those up together and you get 28
Answer:
[tex]28in^{2}[/tex]
Step-by-step explanation:
We can divide the yellow area in one rectangle and two squares. The dimensions of the rectangle is 10in by 2in, because the base of such rectangle is found by subtracting 4 inches and 2 inches, that would give us the measure of the base of the rectangle.
So, the area of the rectangle is
[tex]A_{r}= 10in \times 2in = 20in^{2}[/tex]
Now, the dimensions of the square is 2 inches by 2 inches, according to the graph. So, the area of each square is
[tex]A_{s}=2in \times 2in = 4in^{2}[/tex]
The total area would be
[tex]A_{total}= A_{r}+ 2A_{s}= 20in^{2}+2 (4in^{2} )=20in^{2} +8in^{2} = 28 in^{2}[/tex]
Therefore, the right answer is [tex]28in^{2}[/tex]
what does 3(x+4)= equal
[tex]3(x+4)=3x+12[/tex
Answer:
3x + 12
Step-by-step explanation:
3(x+4) => (3 · x) + (3 · 4) => 3x + 12
PLEASE HELP!!!!!!!!!!!!!!!!
Minimum is 4 maximum is 10 lower quartile is 5 upper quartile is 9 median is 6 and IQR is 6 as well I think
Answer:
Minimum: 4
Maximum: 10
Median: 6
Lower Quartile: 5
Upper Quartile: 9
IQR: 4
Step-by-step explanation:
Minimum: 4
Maximum: 10
Median: 6
Lower Quartile: 5
Upper Quartile: 9
IQR: 4
IQR = Upper quartile - lower quartile
Dan earned $300 in 3 days. How much money does Dan earn per day?
Answer:
100 $
Step-by-step explanation:
Hello
If
300 $ ----> 3 days
X -----------> 1 day
X = [300*1] / (3)
X = 100 $
Best regards
What’s the square root of 108 a to the 7th power b to the 5th power
Answer:
Step-by-step explanation:
Factor all the factors making up the square root.
108: 2*2*3*3*3
a^7: a*a*a*a*a*a*a
b^5:b * b * b * b * b
The rule for taking a square root of this is
For every pair, you get to take one number outside the root sign and throw the other one away.
2*3*a * a * a* b * b√(3*a * b)
6a^3b^2 * √(3*a*b)
solve c2=a2+b2 for b
Answer:
A^2+B^2=C^2
B^2=C^2-A^2
B=SQRT(C^2-A^2
Step-by-step explanation:
Answer:
[tex]b=\sqrt{c^2-a^2}[/tex].
Step-by-step explanation:
The given expression is [tex]c^2=a^2+b^2[/tex].
We want to solve this equation for [tex]b[/tex] , we subtract [tex]a^2[/tex] from both sides of the equation.
[tex]c^2-a^2=b^2[/tex].
We take the square root of both sides to get;
[tex]\pm \sqrt{c^2-a^2}=b[/tex].
Note however that; if b represents one of the legs of a right triangle or any non negative quantity, then
[tex]b=\sqrt{c^2-a^2}[/tex].
8398 divide by 10 then by 100
Answer:
8.398
Step-by-step explanation:
If you are uncertain, you can do this with your calculator. However both numbers doing the dividing are powers of 10 so you can just move the decimal
8398 / 10 = 839.8 Move the decimal 1 place.
839.8/100 = 8.398 Move the decimal 2 places.
In both instances, move the decimal left.
What is the square root of 81?
Answer: 9 or -9 it can be both
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
the square root is fundamentally just what two numbers multiply together to make the number within the square root
9 x 9 = 81
so 9 is the square root
also think of the root of the square
9^2 the root in this case is the nine and te answer is 81
7+12+21+34 Please find the mean!
Answer:
Step-by-step explanation: once you add up all the numbers you get 74. To find the mean add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count. Once you divide, you will get 18.5 as the answer for the mean
Answer:
The answer is 18.5.
Step-by-step explanation:
First, we have to add them all.
7 + 12 + 21 + 34 = 74
Next, we divide the sum by how many numbers we added (we added four numbers).
74 / 4 = 18.5.
I hope this helped! :-D
One side of a square is 4x, what is the area of this square?
Answer:
16x^2
Step-by-step explanation:
To find the area of a square, we use the formula
A = s^2 where s is the side length
A = (4x)^2
A = 16x^2
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ First, you need to find how to find the area.
length*width
Since all sides of a square are the same:
4x*4x
16x^2 is the area of the square.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ TROLLER (don't worry, I didn't troll you)
3/5 divided by 1/4 as a word problem
Answer:
Step-by-step explanation:
12/5 is the answer.