Answer:
The question is asking to complete the passage about the sum of angle of the exterior angles of an n-gon, one at each vertex, and i would say that it should be 360 degree.
Step-by-step explanation:
If the measure of AngleB is 40°, what measures can AngleA and AngleC be? Select all that apply.
20° and 30°
30° and 110°
55° and 85°
60° and 90°
70° and 70°
Answer:
30° and 110°
55° and 85°
70° and 70°
Step-by-step explanation:
Given that:
[tex]\angle B = 90^\circ[/tex]
To find the possible values for the other two angles [tex]\angle A\ and\ \angle C[/tex].
Property of a triangle is that the sum of all three angles is always equal to [tex]180^\circ[/tex].
OR
[tex]\angle A +\angle B +\angle C = 180^\circ\\\Rightarrow \angle A + 40^\circ + \angle C = 180^\circ\\\Rightarrow \angle A + \angle C = 180^\circ - 40^\circ\\\Rightarrow \angle A + \angle C = 140^\circ[/tex]
So, the sum of [tex]\angle A\ and\ \angle C[/tex] should be [tex]140^\circ[/tex]. We can select our answers according to this condition.
Option 1: 20° and 30°: the sum is [tex]50^\circ \neq 140^\circ[/tex] hence, not correct.
Option 2: 30° and 110°: the sum is [tex]140^\circ[/tex] hence, correct.
Option 3: 55° and 85°: the sum is [tex]140^\circ[/tex] hence, correct.
Option 4: 60° and 90°: the sum is [tex]150^\circ \neq 140^\circ[/tex] hence, not correct.
Option 5: 70° and 70°: the sum is [tex]140^\circ[/tex] hence, correct.
Hence, the possible answers can be:
30° and 110°
55° and 85°
70° and 70°
Answer:
30º and 110º
55º and 85º
70º and 70º
Step-by-step explanation:
got it right on edge. !
Levi drove 242 miles in 4 hours. On average, how fast did he drive in miles per hour? Express your answer in simplest form.
Answer:
see below
Step-by-step explanation:
Take the miles and divide by the hours
242/4 =
divide the top and bottom by 2
121/2 miles per hour as an improper fraction
60 1/2 miles per hour as a mixed number
Solve for x. mx + ny = p A.x=p+ny/m B. mx=p−ny C. x=p−ny/m D.x=m(p−ny)
Answer:
C. x=(p−ny)/m
Step-by-step explanation:
mx + ny = p
Subtract ny from each side
mx + ny -ny= p -ny
mx = p-ny
Divide each side by m
mx/m = (p-ny)/m
x=(p−ny)/m
On a coordinate plane, line A B goes through (negative 2, 4) and (0, negative 4). Point Z is at (0, 2).
Which point is on the line that passes through point Z and is perpendicular to line AB?On a coordinate plane, line A B goes through (negative 2, 4) and (0, negative 4). Point Z is at (0, 2).
Which point is on the line that passes through point Z and is perpendicular to line AB?
(–4, 1)
(1, –2 )
(2, 0)
(4, 4)
Answer:
(–4, 1)
Step-by-step explanation:
1. Calculate the slope of AB
m₁ = (y₂ - y₁)/(x₂ - x₁) = (-4 - 4)/(0 -(-2))= -8/2 = -4
2. Calculate the slope of the perpendicular line
m₂ = -m₁ = ¼
3. Calculate its y-intercept
Point Z, (0,2), is the y-intercept.
4. Write the equation for the line
Insert the values of m and b
y = ¼x + 2
5. Check the points
(a) (-4,1)
1 = ¼(-4)+ 2
1 = -1 + 2
1 = 1
TRUE
(b) (1,-2)
-2 = ¼(1) + 2
-2 = ¼ + 2
-2 = 2¼
FALSE
(c) (2,0)
0 = ¼(2) + 2
0 = ½ + 2
0 = 2½
FALSE
(d)
4 = ¼(4) + 2
4 = 1 + 2
4 = 3
FALSE
Only (-4,1) is on the perpendicular line.
The diagram shows the line going through AB in red and the perpendicular line in purple.
Answer:
-4,1
Step-by-step explanation:
Provide work and answer for 3 and 4
Answer:
Step-by-step explanation:
The geometric mean has a set up it must follow in order to "work". If you look at #3, x is a side of the smaller triangle that has a base of 3, but it's also a side of the large triangle that has a base of 3 + 8 which is 11. That means that x is your geometric mean. Setting up the geometric mean will look like this:
[tex]\frac{3}{x}=\frac{x}{11}[/tex]
where x is the geometric means and the 3 and the 11 (the positions they are in) are the geometric extremes.
Now we cross multiply to solve for x:
[tex]x^2=33[/tex] and
[tex]x=\sqrt{33}[/tex]
That's the length of x in #3.
For #4, x is the side of the small triangle with the base of 7 and it's also the side of the large triangle with the base of 7 + 13 which 20. That means that x is the geometric mean. Setting up like above:
[tex]\frac{7}{x}=\frac{x}{20}[/tex] and
[tex]x^2=140[/tex] so
[tex]x=\sqrt{140}[/tex]
Which set of ordered pairs goes with y = 2cos x ?
Answer:
Set of ordered pairs = { ( 0 , 2 ), ( π / 2 , 0) , ( π , -2) , ( 2 π , 2)}
Step-by-step Explanation:
Given y = 2 cos x
i) Let x =0 ⇒ y = 2 cos (0) = 2
The ordered pair ( 0 , 2 )
ii) Let x = π / 2 ⇒ y = 2 cos (π/2) = 2(0) =0
The ordered pair ( π / 2 , 0)
iii) let x = π ⇒ y = 2 cos(π) = 2 (-1) = -2
The ordered pair ( π , -2)
iv)
let x = 2π ⇒ y = 2 cos(2π) = 2 (1) = 2
The ordered pair ( 2 π , 2)
Set of ordered pairs = { ( 0 , 2 ), ( π / 2 , 0) , ( π , -2) , ( 2 π , 2)}
What is the area of this shape ?Please help I will make you branliest
There are two rectangles.
1= 8 x 4 = 32
2= 2x6 = 12
Total = 32 + 12 = 44 square km
Answer:
44 sq. KM
Step-by-step explanation:
To find the total area, we have to add the area's of each rectangle. For the bigger rectangle, we will go base times height.
[tex](8)(4)=32[/tex]
For the smaller rectangle, the width is 2 and height is 6 so we will multiply those.
[tex](2)(6)=12[/tex]
Now we have to add the two areas to get the grand area.
[tex]32+12=44[/tex]
The area is 44 square km
What is the product of (x - 9) and (2x - 7)
Answer:
[tex]2x^2-25x+63[/tex]
Step-by-step explanation:
You have to multiply both terms from the first one by both term in the second on, it'll look like this:
[tex](x-9)*(2x-7)=(x*2x)+(x*-7)+(-9*2x)+(-9*-7)\\(x-9)*(2x-7)=(2x^2)+(-7x)+(-18x)+(63)[/tex]
Once you combine like terms it'll be the final answer:
[tex](x-9)*(2x-7)=2x^2-25x+63[/tex]
You can use foiling to get any other questions like this:
Solve.
(4v-9) (1 + v) = 0
(If there is more than one solution, separate them with commas.)
v =
Answer:
v = -1
Step-by-step explanation:
First, you will need to solve it step-by-step:
(4v − 9)(1 + v) = 0
Next, you need to simplify both sides of the equation:
4v(2) − 5v − 9 = 0
Now, factor the left side of equation:
(4v − 9)(v + 1) = 0
The last thing you need to do is to set all of the factors to equal to zero:
4v − 9 = 0 or v + 1 = 0
So, that means that you answer:
v=9/4 or in your case, v = −1
-5/6×5/7-1/2×4/5-1/12×5/7
Answer:
What aspect of culture does the following excerpt from "What For" by Garrett Hongo celebrate?
I lived for stories about the war
my grandfather told over hana cards,
slapping them down on the mats
with a sharp Japanese kiai.
Step-by-step explanation:
Answer:
[tex]-\frac{443}{420}[/tex]
Step-by-step explanation:
by a factor of 0.5
1
1.5
or 2
Answer:
it is a horizontal stretch by 2.
Step-by-step explanation:
AB=3-1=2
A'B'=6-2=4
[tex]\frac{A'B'}{AB} =\frac{4}{2} =2\\A'B'=2(AB)[/tex]
what is = to 85
if u do i will rate u brainliest
Answer:
85 - 85 = 0
Step-by-step explanation:
so answer is 0
hope this helps u
Answer:
85 - 85 = 0
Step-by-step explanation:
hope this helps u
pls help for brainliest answer
Answer:
198.5 cm²
Step-by-step explanation:
The figure is composed of a central rectangle and 2 congruent semi- circular ends, equivalent to 1 circle with diameter = 10 cm, thus radius of 5 cm
length of rectangle = 22 - 5 - 5 = 12 cm, thus
area of rectangle = 10 × 12 = 120 cm²
area of circle = πr² = π × 5² = 25π ≈ 78.5 cm² ( to 1 dec. place )
Total area = 120 + 78.5 = 198.5 cm²
A sofa is on sale for $513, which is 24% less than the regular price.
What is the regular price?
Answer:
$675
Step-by-step explanation:
If it is 24% less than the regular price then it is 76% of the original price
$675 multiplied by 0.76 is $513
There are 120 people in a sport centre. 78 people use the gym. 46 people use the swimming pool. 45 people use the track. 21 people use the gym and the pool. 16 people use the pool and the track. 24 people use the gym and the track. 9 people use all three facilities. A person is selected at random. What is the probability that this person uses at least 2 facilities?
9514 1404 393
Answer:
43/120 ≈ 0.3583
Step-by-step explanation:
Adding up the folks who use two facilities counts the folks who use all three 3 times. So, the number who use two or more facilities is ...
21 +16 +24 -2(9) = 43 . . . . people who use 2 or more facilities
The probability that a person chosen randomly from the 120 at the sports center uses at least 2 facilities is ...
43/120 ≈ 0.3583
_____
The given numbers add up as follows:
Gym only: 42
Pool only: 18
Track only: 14
Gym and Pool only: 12
Gym and Track only: 15
Pool and Track only: 7
Gym and Pool and Track: 9
No facilities: 3
Find the 7th term of the geometric sequence whose common ratio is 1/3 and whose first term is 5.
Answer:
[tex]t_7 =\frac{5}{729} [/tex]
Step-by-step explanation:
We are given that:
First term (a) = 5
common ratio (r) =[tex]\frac{1}{3}[/tex]
The nth term of a geometric sequence is given as:
[tex]t_n =ar^{n-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{7-1} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \bigg(\frac{1}{3}\bigg) ^{6} \\\therefore t_7 =5\times \frac{1}{729}\\\\\huge\red{\boxed{\therefore t_7 =\frac{5}{729} }}[/tex]
use long division to find the quotient below (30x^3+4x^2-150) / (6x-10)
A.5x^2+9x+15
B.5x^2-14x+15
C.5x^2+14x+15
D.5x^2-9x+15
Answer:
The answer is
A[tex].5x^2+9x+15[/tex]
Step-by-step explanation:
kindly find attached the solving for proper understanding and solution flow.
Given Data
the divisor= [tex]6x-10[/tex]
dividend= [tex]30x^3+4x^2-150[/tex]
firstly for us to perform the division we need to re write the dividend and include the missing coefficient of x
dividend [tex]=30x^3+4x^2+0x-150[/tex]
Please help me I really need help
Answer:
83/10 ; 9.01 ; 97/10 ; 9.87
Step-by-step explanation:
Simplify the fractions, and then you can easily see the answer.
Answer: 83/10, 9.01, 97/10, 9.87
Step-by-step explanation:
We can choose to either write all the numbers indecimals or fractions. Let's choose decimals.
83/10=8.30
97/10=9.70
9.87
9.01
Now that we know the decimals, we can put them in order.
8.30, 9.01, 9.70, 9.87
Though this is correct, it is not the answer we are looking for. When we were given the problem, we had fractions. We must change the decimals back into fractions.
83/10, 9.01, 97/10, 9.87
This is our correct answer.
Which expression is equivalent to (cd)5?
A) C5+d5
B) c5/d5
C) c5d5
D) C5-d5
Answer:
C^5d^5
Step-by-step explanation:
The equivalent expression is,
⇒ c⁵ × d⁵
We have to given that,
An expression is,
⇒ (cd)⁵
Since, A mathematical expression is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.
Now, Solve the expression by rule of exponent as,
⇒ (cd)⁵
⇒ c⁵ × d⁵
Therefore, The correct equivalent expression is,
⇒ c⁵ × d⁵
Learn more about the multiplication visit:
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find the surface area
Answer:
101[tex]cm^{2}[/tex]
A box has 144 ounces of grapes. How many 16-ounce packages of grapes can be made?
Answer:9 packets
Step-by-step explanation:
You simply divide 144 by 16: )
Answer:
9 packages
Step-by-step explanation:
Take 144 ounces and divide by 16 ounces per package
144/16 = 9
You will get 9 packages
Which of the following could be represented using a continuous probability distribution?
a) The frequency for which different sized flat rate boxes are purchased at a post office
b) The frequency of temperatures throughout the day in Florida on April 25th
c) The frequency of different scores achieved on an Algebra test in a class of 30 students
d) The number of students who use the internet for at least one hour after school
Answer:
B. The frequency of temperatures throughout the day in Florida on April 25th.
Answer:
b) The frequency of temperatures throughout the day in Florida on April 25th
Step-by-step explanation:
Need help what’s the answer ASAP
Answer:
V = 6.26 (2.5)
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = (2.5)^3
V = 6.26 (2.5)
The number of gift baskets Nikki can make varies directly with the amount of time she spends making the baskets . She can make 1/2 hour . How many baskets can Nikki make in 5 hours
Answer:
40
Step-by-step explanation:
The number of gift baskets Nikki can make varies directly with the amount of time she spends making the baskets .
Let n be the number of baskets and let t be the mount of time it takes to make the basket. This means that:
n α t
=> n = kt
where k = constant of proportionality
She can make 4 baskets in every 1/2 hour.
This means that:
4 = k * 1/2
=> k = 4 * 2 = 8 baskets per hour
The time is now 5 hours (t = 5). Therefore:
n = 8 * 5 = 40 baskets
She can make 40 baskets in 5 hours.
Figure ABCD is a parallelogram.
What is the value of x?
1. 6
2.7
3.8
4.9
Please help fast!!!
Answer:
x = 7
Step-by-step explanation:
Parallel sides have to be the same length
5x+3 = 38
Subtract 3 from each side
5x+3-3 = 38-3
5x = 35
Divide by 5
5x/5 = 35/5
x = 7
What is x +2/3 =2
And how do I get it please explain it like you would to a 4 year cause I’m stupid
Answer:
Step-by-step explanation:
x+2/3=2
multiply by 3
3x+2=6
3x=6-2
3x=4
x=4/3
if it is (x+2)/3=2
multiply by 3
x+2=6
x=6-2=4
Answer:
[tex]x=\frac{4}{3}[/tex]
Step-by-step explanation:
[tex]x+\frac{2}{3}=2[/tex]
to find the value of x we subtract 2/3 on both sides
[tex]x+\frac{2}{3}-\frac{2}{3}=2-\frac{2}{3}[/tex]
taking LCM AS 3
[tex]x=\frac{2*3}{1*3}-\frac{2}{3}[/tex]
[tex]x=\frac{6}{3}-\frac{2}{3}[/tex]
[tex]x=\frac{4}{3}[/tex]
[tex]i hope this will help you:)[/tex]
What’s the simplest terms for this
Answer:
2/3
Step-by-step explanation:
2/9+4/9
The denominator is the same, so we add
6/9
Divide the top and bottom by 3
2/3
6/9simplified = 2/3 or ≅ 0.6666667
A deer and bear stumble across a sleeping skunk. They run away from it in opposite directions- the deer at the speed of 8 feet per second and the bear at the speed of 5 feet per second. How long will it be until the pets are 156 yards apart
Answer:
12 sec
Step-by-step explanation:
After 1 sec distance between the deer and the bear = (8 + 5) = 13 feet.
After x sec distance is 13x.
13x = 156
x= 156/13=12 sec
Answer:
36
Step-by-step explanation:
First we will add the bear and the deer's speed. 8+5=13. now we will divide by the distance, but the speed is in feet not yards, so multiply 156 by 13=468/ then do 13x=468 so x is equal to 36.
Here is a map of a town.
The map shows a centimetre ruler.
1 cm represents 3 km.
What is the real-life distance between the park and the museum?
Answer:
The distance between park and museum is 12km.
Step-by-step explanation:
Given that the map shows 1cm represents 3km. In this question, the distance between park and museum is 4cm so in order to find the real-life distance, you have to multiply by 4 :
[tex]1cm = 3km[/tex]
[tex]4cm = 3km \times 4[/tex]
[tex]4cm = 12km[/tex]
Hence, the real-life distance between the park and the museum is [tex]12km[/tex].
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given that,
Here is a map of a town.The map shows a centimetre ruler [tex]1[/tex] cm represents [tex]3[/tex] km.
In a map it is mentioned that [tex]1[/tex]cm which represents the [tex]3[/tex] km. So, the distance between park and museum is
[tex]1+3=4[/tex]cm
So for the real-life distance, we multiply by [tex]4[/tex]
then,
[tex]1cm=3km\\\\4cm=3(4)km\\\\4cm=12km[/tex]
Hence, the real-life distance between the park and the museum is [tex]12km[/tex].
To know more about the simplification
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What is the product?(4x)(-3x^8)(-7^3)
Answer:
4116x^9
Step-by-step explanation:
(4x)(-3x^8)(-7^3)
(-12x^9)(-343)
4116x^9