Answer:
The size of angle PQR is 150°
Step-by-step explanation:
Lets explain how to solve the problem
- A polygon is regular when all its angles are equal and all its sides
are equal
- The measure of each interior angle an any regular polygon
= , where n is the number of its angles or its sides
∵ PQ and QR are two sides of a regular 12 sided polygon
∴ Q is one of its vertex
- We need to find the size of angle PQR
∵ Angle PQR is an interior angle in the regular 12 sided polygon
∴ n = 12
Use the rule above to find the size of the angle PQR
∵ The size of ∠PQR =
∴ The size of ∠PQR =
∴ The size of ∠PQR =
∴ The size of angle PQR = 150°
* The size of angle PQR is 150°
what is the value of x ?
Answer:
Should be 33 degrees if it is congruen.
Step-by-step explanation:
Answer: 23
Step-by-step explanation:
124 + 33 = 157
180 - 157 = 23
One year, a farmer harvested 50,000 bushels of wheat on her family farm.
Three years later, she harvested 12,000 more bushels of wheat from the
same fields. How much wheat did she harvest that year?
A. The change in the amount of wheat harvested
B. The amount of wheat harvested in the later year
C. The area of the farm
Answer: A hope it helps
i think its a
Mr. Smith paid $36.36 for a carpet. This amount includes a tax of 10%. What was the cost of the carpet before tax?
Answer:
32.72
Step-by-step explanation:
36.36/100
0.3636
0.3636 times 90 (I use 90 because 100-10=90) 10% tax, so 90% original cost.
32.72
In the number
23.45, the digit
2 is in the Select...
place.
Answer:
tens place
Step-by-step explanation:
tens ones . tenths hundredths
2 3 . 4 5
A frozen yogurt shop offers a rewards system for frequent customers. The graph below represents how much a rewards customer pays based on the number of ounces of frozen yogurt purchased.
Answer:
A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
Step-by-step explanation:
Answer:
A. A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same. (on edg.)
Step-by-step explanation:
help me please I need help
Answer:
I dont know
Step-by-step explanation:
yes
Six times a number is greater than 20 more than that number. What are the possible values of that number?
N<4
N>4
N> 20/7
N<20/7
Answer:
N>4
Step-by-step explanation:
Plugin numbers based on your options. Just check if any number less than four fits, if not, next option. In this case if you plug in 4, 4 * 6 = 24 which is equal to 20 more than 4 which is 24. Since our option is N>4 we can try 5 which will work and so will every number after that.
Mention a few number systems and explain in brief
Answer:
Step-by-step explanation:
The system is common use is the decimal system which is based on 10;
So for example the number 45 :
45 = 4 * 10^1 + 5 * 10^0 and
132 = 1*10^2 + 3*10^1 + 2*10^0.
The single digits in the decimal system are 0,1,2,3,4,5,6,7,8 and 9 .
Then we have 10, 11 and so on
Then there is the binary system which is based on 2 digits
In this system there are only 2 digits 0 and 1, so
10 binary = 1*2^1 + 0*2*0 which is equivalent to 2 in the decimal system.
111 binary = 1*2^2 + 1*2^1+ 1*2*0 = 4 + 2 + 1 = 7 decimal
Another system is the octal system, based on 8.
The digits are 0,1,2,3,4,5,6,7
So 10 octal = 8 + 0 = 8 decimal
and 17 octal = 1*8^1 + 7* 8^0 = 8 + 7 = 15 decimal.
what is the inverse of the function f(x)= 19/x³
Where is the largest element in the matrix located? a12 ON a34 a21
Answer:
a21Explanation:
I got it wrong the first two times and this is the answer it gives you.
Help with my math plesae 100 POINTS POINT STEALING = REPORT
Answer:
Sides lengths of a ,b, c such that a^2+b^2 =c^2, triangle ABC is a right triangle
Step-by-step explanation:
Sides lengths of a ,b, c such that a^2+b^2 =c^2, triangle ABC is a right triangle
The converse is interchanging what is given and what is proven.
Answer:
side lengths;a2 + b2 = c2;triangle abc is a right angle
explanation= when you add side lengths a and b u get c which would become a right triangle as stated in the formula a2 + b2 = c2
thats the answer mate hope it helps
1.20 x 10⁶
6.0 x 10⁵
Answer:
[tex]1.20 x 10^{6}=1,200,000\\\\6.0 x 10^{5}=600,000[/tex]
Step-by-step explanation:
You move the decimal place over 6 times for the first equation and 5 for the second equation.
Hope this helps! Have a great day! :)
William, Nancy, and Edgar met at the lodge at 8 AM. William began hiking west at 3 mph. At 10 AM Nancy began hiking north at 5 mph and Edgar went east on a three wheeler at 12 mph. At what time was the distance between Nancy and Edgar 10 miles greater than the distance between Nancy and Willam? ____:____ AM/PM
Answer:
12:00 AM
Step-by-step explanation:
Taking the lodge as the center of the coordinate system, the position of each person is:
William: 6+3*t
Nancy: 5*t
Edgar: 12*t
where t is in hours after 10:00 am
Between the positions of William and Nancy, a right triangle is formed, where their distance is the hypotenuse.
WN = √[(5*t)² + (6+3*t)²]
Similarly, Between the positions of Nancy and Edgar:
NE = √[(5*t)² + (12*t)²]
If the distance between Nancy and Edgar is 10 miles greater than the distance between Nancy and Willam, then
NE = WN + 10
√[(5*t)² + (12*t)²] = √[(5*t)² + (6+3*t)²] + 10
With the help of the graph of this equation, we find that t = 1.95 or approximately 12:00 AM
If two events. A and B, are independent then which of the following is always true about their probabilities?
1) P(A)=P(B)
2) P(A and B)=P(A) P(B)
3) P(A OR B)=P(A) P(B) - P(A and B)
4) P(A and B) = P(A) +P(B)
Answer:
P(A and B)= p(A) * P(B)
Step-by-step explanation:
The Formula for the probability of A and B (independent events) is
p(A and B) = p(A) * p(B).
what is equivalent to 1/11?
Answer:
2/22, 3/33, 4/44
Step-by-step explanation:
Answer:
0.0909 9.09%
Step-by-step explanation:
Which system of equations is graphed below? On a coordinate plane, a line goes through (0, 1) and (4, negative 2) and another goes through (0, negative 6) and (6, 0). x minus y = 6. 4 x + 3 y = 1. x minus y = 6. 3 x + 4 y = 4. x + y = 6. 4 x minus 3 y = 3. x + y = 6. 3 x minus 4 y = 4.
Answer:
The correct option is (B)
(B) x-y = 6 , 3x+4y = 4
Step-by-step explanation:
As we can see in the graph given below, both lines intersect at (4, -2), which should be the solution of given equations:
Find the values of x and y for (B);
x - y = 6 ⇒ (i)
3x + 4y = 4 ⇒ (ii)
Lets consider equation (i)
x - y = 6
x = 6 + y
Substitute in equation (ii)
3(6+y) + 4y = 4
18 + 3y + 4y = 4
7y = -14
y = -2
Substitute in equation (i)
x - (-2) = 6
x + 2 = 6
x = 6 - 2
x = 4
As solution of part C is also (4, -2), it represents the graph
You can also find the (x, y) for other options the similar way, which will show you they don't have the same value
Answer:
its B
Step-by-step explanation:
Two times a number is equal to the absolute value of the quantity "sixty-three less than five times that number." What could the number be?
Answer:
The number is 21.
Step-by-step explanation:
First you need to solve for n.
So the equation would be 2n = |5n-63|
First you'd subtract 5n from each side, that would give you -3n=|-63|
Then you need to divide each side by -3 to get n=21.
~~~~~
To check, you can just plug 21 back into the equation.
2(21) = |5(21) - 63|
42 = |105-63|
42 = |42|
42 = 42
Fabio is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror can be modeled by (x-2)^2=10(y-3), where x and y are measured in inches. Where is the focus of the flashlight?
Answer:
F(2, 11/2)
Step-by-step explanation:
The expression:
(x-2)² = 10(y - 3)
can be rewritten in the vertex form as follows:
(x-2)² = 10y - 30
(x-2)² + 30 = 10y
1/10(x-2)² + 3 = y
General vertex form is:
y = a(x-h)² + k
then, the vertex is locate at (h, k). In this case the vertes is (2, 3), and a = 1/10
The focus of a parabola is located ar F(h, k+p), where p = 1/(4a). Replacing into these equations:
p = 1/(4*1/10) = 5/2
F(2, 3+5/2) = F(2, 11/2)
Answer:
C is the answer
Step-by-step explanation:
I'm never wrong.
Find the vertex of the parabola.
f(x) = 5x2 - 30x +49
a. (3,0)
b. (3,4)
C. (4,0)
d. (4,3)
Answer:
B.
Step-by-step explanation:
because the vertex of parabola is f(x)
Work out the value of 2^3 + 5^2
Answer:
33
Step-by-step explanation:
A number raised to a power is that number multiplied by itself that many times. 2^3 is equal to 2 x 2 x 2, which is equal to 4 x 2, which is equal to 8. 5^2 is equal to 5 x 5, which is equal to 25. 8 plus 25 is equal to 33.
Find the volume. SHOW WORK
Answer:
827.39
Step-by-step explanation:
Volume = L X W X H
So 6.2 X 8.5 X 15.7
6.2 X 8.5 = 52.7
52.7 X 15.7 = 827.39
So the volume is 827.39
Find the value of x in the triangle shown below.
Answer:
58
Step-by-step explanation:
since the triangle has two sides of the same length (6.2cm), this means that it is a isosceles triangle, and that also means that the two angles at the base are the same (both will be 61 degrees)
then just use 180 minus the two angles and you will get x
x^3/x^1/6=x^a value of a in simplest form?
Answer: a = 17/6
Step-by-step explanation:
I will use two laws of indices to solve this question
1. x^a / x^b = x^(a-b)
2. x^a = x^b, => a = b
Using both laws
x³/x^1/6 = x^a
x^(3-1/6) = x^a
3 - 1/6 = a
a = 3 - 1/6
a = (18 - 1)/6 using LCM
a = 17/6
PLEASE HELP IM BEHIND AND SCHOOL IS OUT IN 2 DAYS
Are the bases of the prism equilateral triangles? Why or why not? Note: The bases of a triangular prism are triangles.
Answer: #1 his school is out
Step-by-step explanation: #2 bcuz all sides equal to 66cm.
Please mark me brainlest.✌✌
Answer:
Yes, they are equilateral because all of the sides have the same length of 5
Step-by-step explanation:
The Triangle has 3 sides and each side measures up to be 5 so its an equilateral triangle
please help :))))))))
Answer:
Look at the attachment
Which statement justifies that ∠K ≅ ∠N? answers: A) ΔHKL ≅ ΔHMN by ASA; but the two angles aren't congruent because they aren't corresponding angles. B) The two angles aren't congruent. C) ΔHKL ≅ ΔHMN by ASA; ∠K ≅ ∠N because they're corresponding angles in congruent triangles. D) ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.
Answer:
Correct answer is:
D) ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.
Step-by-step explanation:
We are given the diagram, in which there are 2 triangles namely [tex]\triangle HLK, \triangle HMN[/tex].
1. Side KH = Side NH
2. [tex]\angle L \cong \angle M[/tex]
From the given figure, we can derive that:
[tex]\angle KHL \cong \angle NHM[/tex]
Property used: Vertically opposite angels made by two lines crossing each other are equal.
So, we have two angles ([tex]\angle L \cong \angle M[/tex] and [tex]\angle KHL \cong \angle NHM[/tex])of the triangle as same and one side equal from the two given triangles [tex]\triangle HLK, \triangle HMN[/tex].
So, we can say that the two triangles are congruent.
[tex]\triangle HLK \cong \triangle HMN[/tex]
The side is not between the two equal angles, so it is AAS congruence.
And Congruent triangles have their corresponding angles equal.
Therefore, option D) is true :
ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N, because they're corresponding angles in congruent triangles.
Answer:
ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.
Step-by-step explanation: I took the test
The sum of three numbers is 10. The first number minus the second plus the third is 6. The first minus the third is 2 more than the second. Find the numbers.
Answer:
The answers are :
The first number : 6
The second number : 2
The third number : 2
Step-by-step explanation:
The value of the variable x, y, and z will be 6, 2, and 2.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Let the numbers be x, y, and z.
The sum of three numbers is 10.
x + y + z = 10 …1
The first number minus the second plus the third is 6.
x – y + z = 6 …2
The first minus the third is 2 more than the second.
x – y = z + 2 …3
Add equation 1 and 3, we have
x + x + z = 10 + z + 2
2x = 12
x = 6
Subtract equation 2 from 1, we have
2y = 4
y = 2
Then the value of z will be
6 + 2 + z = 10
z = 2
More about the linear system link is given below.
https://brainly.com/question/20379472
#SPJ2
algebra applications: find the value of x and y
Answer:
x = 10°
y = 35°
Step-by-step explanation:
9x + 20 + 7x = 180 (supplementary angles)
16x = 180 - 20
16x = 160
x = 10°
2y = 7x ( opposite angles)
2y = 70
y = 35°
What is the solution to the equation StartFraction 3 Over m + 3 EndFraction minus StartFraction m Over 3 minus m EndFraction = StartFraction m squared + 9 Over m squared minus 9 EndFraction? m = 3 m = 6 all real numbers no solution
Answer:
No solution.
Step-by-step explanation:
Given fraction is:
[tex]\dfrac{3}{m+3} -\dfrac{m}{3-m} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3}{m+3} +\dfrac{m}{m-3} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3\times (m-3)+ m(m+3)}{(m+3)(m-3)} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{3 m-9+ m^2+3m}{m^2-9} = \dfrac{m^2+9}{m^2-9}\\\Rightarrow \dfrac{m^2-9+ 6m}{m^2-9} = \dfrac{m^2+9}{m^2-9}\\If\ m^2-9 \neq 0\ or\ m \neq 3\\\Rightarrow m^2-9+ 6m = m^2+9\\\Rightarrow 6m = 18\\\Rightarrow m = 3[/tex]
Formula used:
[tex](a+b)(a-b) = a^{2} -b^{2}[/tex]
But, the above equation was solved at the condition that:
[tex]m\neq 3[/tex]
So, there is no solution for the given equation.
Answer:
D on Edge2020 (No solution)
Step-by-step explanation:
There are 2200 students in a school. 52.5% of them are male. How many are female?
___________________________________
Total number of students=2200
Total percent of male=52.5%
Total percent of female=100%-52.5%
=47.5%
Total number of female= 47.5% of 2200
=47.5/100*2200
=1045
So the total number of female is 1045
hope it helps
Good luck on your assignment
________________________________
Answer:
[tex]1045[/tex]
Step-by-step explanation:
[tex]no. \: \: of \: \: students = 2200[/tex]
First let's find the percentage of female.
[tex]100\% - 52.5\% = 47.5\%[/tex]
So now let's find how many female students are there in the class
[tex]2200 \times47.5\% \\ 2200 \times \frac{47.5}{100} \% \\ = 1045[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!