Answer:
[tex]x^{\circ}+105^{\circ}=180^{\circ},\\x^{\circ}=z^{\circ},\\180^{\circ}-z^{\circ}=y^{\circ}[/tex]
Step-by-step explanation:
Statement 1:
True - These two angles are supplementary (add up to 180 degrees) because they form one side of a line.
Statement 2:
True - These two angles are vertical angles (opposite to each other at intersection of two lines). All vertical angles are equal.
Statement 3:
False - These two angles are vertical and therefore are equal. Thus, they cannot have a difference of 105.
Statement 4:
False - Two of these angles form one side of a line which is equal to 180 degrees. Since the third angle is greater than zero, they cannot all add up to 180 degrees.
Statement 5:
True - These two angles are supplementary (add up to 180 degrees) because they form one side of a line.
Statement 6:
False - These two angles are supplementary (add up to 180 degrees) because they form one side of a line and therefore cannot be equal to 105.
Answer and Step-by-step explanation:
The answers are:
x + 105 = 180 (Supplementary angles = 180 degrees)
x = z (Vertical angles are congruent)
180 - z = y (Supplementary angles = 180 degrees)
#teamtrees #PAW (Plant And Water)
Today, everything at a store is on sale. The store offers a 18% discount.
a. The regular price of a T-shirt is $20. What is the discount price?
Answer:
Discount : 3.60$
Discounted shirt price: 16.40$
Step-by-step explanation:
If there is a 18% then we can get the discounted price you get by multiplying 20$ by 18%
So we can change 18% to decimal if we need to by just moving a decimal point 2 decimal points to the left. so .18.
Now 20*.18 = 3.60$ | That is the discount you get on sale. To get the actual discount price you just need to subtract 20-3.6= 16.40$
Answer:
Step-by-step explanation:
To calculate the 18% discount, convert 18% into the equivalent decimal fraction 0.18 and then multiply the regular price ($20) by 0.18; the discount is thus $3.60.
Subtract the discount, $3.60, from the regular price ($20) to obtain the discount price: $16.40.
********************************
Alternatively, take the shortcut of multiplying $20 by (1.00 - 0.18), or
$20 by 0.82. The result (i. e., the discount price) is the same: $16.40
The diameter of a small circular rug is 36 inches use 3.14 for pie to determine the radius and the circumference
Answer:
Step-by-step explanation:
radius=diameter/2
=36/2
=18 inches
circumference=2πr
=2*3.14*18
=113.04 inches
Suppose an urn has six balls, three red, two blue, and one yellow. On any draw from the urn, all balls in the urn are equally likely to be drawn. Suppose that two balls are drawn, in sequence without replacement, that is, the second ball is drawn without replacing the first ball in the urn. What is the probability that the second ball drawn is blue
Answer:
1 / 3
Step-by-step explanation:
Number of balls :
Red, R = 3 ; Blue, B = 2 ; Yellow, Y = 1
Total = 6
From two draws without replacement, probability that 2nd draw is blue :
Possibilities :
P(RB) or P(YB) or P(BB)
P(RB) = 3/6 * 2/5 = 6/30
P(YB) = 1/6 * 2/5 = 2 /30
P(BB) = 2/6 * 1/5 = 2 / 30
HENCE,
P(RB) + P(YB) + P(BB)
6/30 + 2/30 + 2/30 = 10/30 = 1/3
What is the diameter of a hemisphere with a volume of 272\text{ m}^3,272 m
3 , to the nearest tenth of a meter?
Answer:
D = 10.1m
Step-by-step explanation:
We know that the volume of a sphere of radius R is:
V = (4/3)*pi*R^3
where pi = 3.14
A hemisphere is half a sphere, then the volume of an hemisphere is half of the volume of a sphere, then the volume of a hemisphere of radius R is:
V' = (1/2)*(4/3)*pi*R^3
Now, we know that our hemisphere has a volume:
V' = 272m^3
Then we can solve the equation:
272m^3 = (1/2)*(4/3)*pi*R^3
For R.
(we want the diameter, but remember that the diameter is equal to two times the radius, so finding the radius is a good start)
272m^3 = (1/2)*(4/3)*pi*R^3
272m^3 = (4/6)*3.14*R^3
272m^3*(6/4*3.14) = R^3
∛( 272m^3*(6/4*3.14) ) = R = 5.06 m
And the diameter is two times that, so we get:
D = 2*5.06m = 10.12 m
Rounding this to the nearest tenth of a meter (first digit after the decimal dot), we get:
D = 10.1m
Please help! I'll give brainlist
A man borrows $500 and agrees to repay $750 at the end of 4 years. What is the rate of simple interest charged?
Answer:
The rate of simple interest is 0.125, or 12.5%.
Step-by-step explanation:
If the man must repay $750 after 4 years on a $500 loan, the simple interest would be ($750-$500), or $250.
The simple interest formula is i = p*r*t. Solving this for the interest rate, r, yields
i
r = ----------
p*t
and so, with i = $250, p = $500 and t = 4 yr, we find r as follows:
$250
r = ----------------- = 0.125
$500*4
The rate of simple interest is 0.125, or 12.5%.
(w- 4/9) (-2/3) = -4/5
Solve for w
exact form:
w= 74/45
decimal form:
w= 1.64
mixed number:
w= 1 29/45
brainliest would be appreciated :)
Answer:
w=74/45
Step-by-step explanation:
(w-4/9)(-2/3)=-4/5
-2/3w+8/27=-4/5
-2/3w=-4/5-8/27
-2/3w=-108/135-40/135
-2/3w=-148/135
w=(-148/135)/(-2/3)
w=-148/135*-3/2,
w=74/45
sam wants to fence his rectangular garden plot along its length on the front side. The perimeter of the plot is 24 meters, and its length is 3 times its width
Answer:
Length: 12 meters
Step-by-step explanation:
Step 1:
Let us start with the formula of the perimeter of a rectangle, [tex]P=2l+2w[/tex], where l represents the length of the rectangle, and w represents the width of the rectangle.
We can set width as variable x. We are also given that the length is three times the width, hence it can be represented as 3x.
Step 2:
We can now write our equation and solve for x :
[tex]24=2x+2*2x\\24=2x+4x\\24=6x\\x=\fbox{4}[/tex]
We set x as width, so the width is 4 meters. However, in this problem we are looking for the length. The length is three times the width, so it would be [tex]\fbox{12}[/tex] meters.
I hope this helps! Let me know if you have any questions :)
Answer:
From the given information, there are two equations in terms of x and y:
2x + 2y = 24 (perimeter of the rectangular plot)
x = 3y (relationship between length and width)
The second equation is expressed in terms of x, so directly substitute the value of x into the first equation and find y:
2(3y) + 2y = 24
y = 3
Substitute y in the second equation to find x:
x = 3(3)
x = 9
The fencing cost is $25 multiplied by the length of the side Sam wants to fence: 25 × 9 = 225. Therefore, Sam needs to spend $225 to fence that side of his plot.
Step-by-step explanation:
Please help solve the question in the image
Answer:
✅On average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.
✅On average, it rains more in Zachary in a year.
Step-by-step explanation:
Mean annual rainfall on average = total amount of rainfall for the period of years ÷ 10
✔️Mean Annual rainfall for Albany (in.):
= (22.82 + 19.83 + 28.40 + 23.35 + 30.78 + 21.34 + 11.20 + 17.04 + 18.63 + 16.28) ÷ 10
= 20.967
✔️Mean Annual rainfall for Zachary (in.):
= (26.41 + 23.54 + 30.02 + 26.35 + 34.24 + 25.74 + 18.98 + 21.26 + 23.61 + 21.38) ÷ 10
= 25.153
✅Therefore, on average Albany gets 20.967 inches rain pee year and Zachary gets 25.153 inches rain per year.
✅On average, it rains more in Zachary in a year.
Is 0.669429565254154... a rational number
Answer: I think so since it’s a decimal
Step-by-step explanation:
What are the solutions of the equation −2x−6=−2x−6 ?
Select each correct answer.
x=−1
x = 0
x = 1
x = 2
x = 3
Answer:
x = 0
Step-by-step explanation:
All of them.
When presented with the same terms on each side of an equal sign, the solution is All Real Numbers
school guidelines require that there must be at least 2 chapereones for every 25 students going on a school trip. How many chaperones must there be for 80 students?
Answer:
1 to 25 students require (at least) 2 chaperones. ... 51 to 75 students require (at least) 6 chaperones.
PLEASE MAKE ME BRAINLIEST ANSWER
Step-by-step explanation:
What are the values of the constants in the vertex form of the quadratic equation that models the bird's path? h = k = a =
Answer:
What is the slope of the line that represents the turtle's path?
=0.8
What are the values of the constants in the vertex form of the quadratic equation that models the bird's path?
h=0
k=20
a= -0.12
Which system of equations could you use to determine where the paths intersect?
=B) y = 0.8x and y = -0.12x2 + 20
Step-by-step explanation:
your welcome <3
Based on the graph, the values of the constants in the vertex form of the quadratic equation are:
h = 0.k = 20.a = -0.12.How to write a function.Generally, the vertex form of a quadratic equation can be used to model or write an equation of the function of a graph.
Mathematically, the vertex form of a quadratic equation is given by this formula:
y = a(x - h)² + k
Where:
h and k represents the vertex of the graph.
Note: The sign on "a" indicates whether the quadratic equation opens up or opens down.
Based on the complete information, we can deduce that the values of the constants in the vertex form of the quadratic equation are:
h = 0.k = 20.a = -0.12.Read more on vertex here: brainly.com/question/525947
has to be as a fraction help plzz
What's the value of x?
Answer:
x= 31
Step-by-step explanation:
Solve for x. Round to the nearest tenth of a degree, if necessary. Answer:x =
Please respond quick
Answer:
x = 61.6 degree
Step-by-step explanation:
take x degree as reference angle
using sin rule
sin x = opposite / hypotenuse
sin x = 4.8 / 5.4
sin x = 0.88
x = [tex]sin^{-1} (0.88)[/tex]
x = 61.64
x = 61.6 degree
Anyone know how to factorise this please ?! :)
9514 1404 393
Answer:
a) (x +2)(x +3)
b) x = -2 or -3
Step-by-step explanation:
a) The constants in the binomial factors will be divisors of 6 that have a sum of 5. You know that ...
6 = 1×6 = 2×3
The sums of these factor pairs are 7 and 5. You want the pair 2, 3. The factors are ...
x² +5x +6 = (x +2)(x +3)
__
b) The solutions to the equation are the values of x that make the factors zero:
(x +2) = 0 ⇒ x = -2
(x +3) = 0 ⇒ x = -3
I hope you guys can help me with this question :)
What are the quartiles of the data represented by the box-and-whiskers graph shown.
23, 26, 28, 30.5
26, 28.5, 30.5, 35
23, 26, 28.5, 31.5
26, 28.5, 32.5, 34
Answer: 26 and 31.5
Step-by-step explanation: it litterally shows it in the picture
Use square roots to solve the following quadratic equation.
Write your answers from least to greatest with a comma and
space separating each answer. For example: 4,9
m2 - 4 = 77
what is [tex]hx^{8}[/tex] x [tex]hx^{-9}[/tex] simplified
Answer:
Step-by-step explanation:
[tex]a^{m}*a^{n}=a^{m+n}\\\\\hx^{8} * hx^{-9} = h^{1+1} *x^{8 +(-9)}\\\\ =h^{2}x^{-1}[/tex]
If y=-5x + 2 were changed to y = -7x + 5, how would the graph of the new line
compare with the first one?
the sum of five consecutive numbers is 700, what is the first number?
Answer:
The first number is 138.
Step-by-step explanation:
Let the first number be x.
Then since they are consecutive numbers, the second number will be (x + 1), the third (x + 2), the fourth (x + 3) and the fifth being (x + 4).
We are given that their sum is 700. Therefore:
[tex]x+(x+1)+(x+2)+(x+3)+(x+4)=700[/tex]
Solve for x. Combine like terms:
[tex]5x+10=700[/tex]
Subtract 10 from both sides:
[tex]5x=690[/tex]
Divide both sides by five. Therefore:
[tex]x=138[/tex]
The first number is 138.
Answer:
138
Step-by-step explanation:
(n) + (n+1) + (n+2) + (n+3) + (n+4) = 700
5n + 10 = 700
5n = 690
n = 138
which one is your favorite (only one) between the second one or the third one the bottom left
Answer:
I would go with the third one (the one on the bottom left) since that seems like me lol
Carl can paint a room 3 hours faster than Jennifer can. If they work together, they can complete the job in 2 hours. Using complete sentences, explain each step in figuring out how to determine the time it would take Jennifer to complete this job on her ow
Answer:
If they would both work at the same speed they would each take 4 hours to complete the room. So in total they would work 8 hours. But because Carl can finish three hours before Jennifer 3 hours of the eight already got to Jennifer. Then we divide the resting 5 hours by the two and then we have:
Jennifer:
3+2,5=5,5
Carl:
2,5
( if I am right)
Please help me!!!!!!
Answer:
Step-by-step explanation:
If the coordinates are (0, a) and (b, 0), we just use the distance formula to find the distance in terms of a and b:
[tex]d=\sqrt{(0-a)^2+(b-0)^2}[/tex] and
[tex]d=\sqrt{(-a)^2+b^2}[/tex] which simplifies to
[tex]d=\sqrt{a^2+b^2}[/tex]
and that's it!
1.8,1.35,2.5, squat root of 5 in least to greatest
Answer: 1.35, 2.5, 1.8
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) 2.5^=97.6
2) 1.8^5= 18.8
3) 1.35^5=4.4
or
1) 2.50
2) 1.80
3) 1.35
A line goes through the points (8,9) (-2,4)
(B) Write the equation of the line in point-slope form. Show your work
PLEASE
Answer:
y-9=1/2(x-8)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-9)/(-2-8)
m=-5/-10
m=1/2
y-y1=m(x-x1)
y-9=1/2(x-8)
Which type of graph would be best for showing the height of a sapling tree over the span of several weeks?
A. a bar graph
B. a circle graph
C. a histogram
D. a line graph
Answer:
its actually d
Step-by-step explanation:
it compares height to time
Diana is going to spin this spinner one time. What is the probability that she will spin a D compared to the probability that she will spin an F? A. Equally likely B. Less likely C. Certain D. Impossible