A sector of a circle is shown below. Construct a line that represents all points equidistant from MN and MP. Would a reflection across this line map the figure onto itself? Why or why not?
Answers
A sector is a part of a circle bounded by two radii and an arc. So then, constructing a line that would represent all points equidistant from MN and MP implies the angle bisector of angle NMP.
The line which represents all points equidistant from MN and MP is an angle bisector of NMP. An angle bisector is a straight line that divides a given angle into two equal parts.
The steps required to construct the line are:
Using N as the center and any radius, describe an arc beyond arc NPPlace the compass at P as the center and the same radius, describe another arc to intersect the previous arc.Draw a line through the point of intersection to M. This is the required angle bisector.ii. Reflection is the process of turning a given shape or figure about a point or line. The reflection of the figure across the line (angle bisector) would not map the figure onto itself. This is because of the change in the orientation of the points N and P.
The construction to this question is attached to this answer for more clarifications.
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Related Questions
Can someone help me find x? it 15 points. i hope its enough..
4/5x + 9/10= 5 1/5
Answers
Step-by-step explanation:
Exact Form:
x = 43/8
Decimal Form:
x = 5.375
Mixed Number Form:
x =5 3/8
Write a formula for the volume V of a prism where B is the area of the base and h is height
Answers
Answer:
a pyramidal prism is 1/3 the volume of a similar rectangular prism of same base and height
so V=(1/3)bh
V=36
H=6
find area of base
36=(1/3)b6
36=2b
divide both sides by 2
18=b
the area of the base is 18 square units
Step-by-step explanation:
the answer is : V= B.h
encuentra el termino indicado de cada sucesion aritmetica #12avo termino de 2,4,6. #10mo termino de 1,-1-5. #8vo termino de -1,1,3
Answers
Step-by-step explanation:
hope it will helps you my answer
Peter wrote five numbers . Which of peters numbers can be divided into 7 equal groups with 0 left over? Choose all that apply .
Numbers : 56 52 42 35 27
And I’m serious . No LINKS
Answers
Answer:
56 42 35
Step-by-step explanation:
all numbers that are divisible by 7
56 is 7 groups of 8
42 is 7 groups of 6
35 is 7 groups of 5
Estimate and then solve 8,784 ÷ 61 = ___.
Answers
Answer:
8784/61
144#
Mark as a brainlist
Answer:
144
Step-by-step explanation:
i did it
at breakfast yusef drinks 16 ounces of water
Answers
Answer:
Step-by-step explanation:
K, but what's the question?
The claim is that for 10 am body temp of males the mean is less than 98.6 f the sample size is n = 38 and the test statistic is t=-3.768
Answers
Answer:
See below
Step-by-step explanation:
The null hypothesis would be [tex]H_o:\mu\leq98.6[/tex] which would suggest the claim that the mean body temperature for males is equal to or less than 98.6°
The alternate hypothesis would be [tex]H_1:\mu>98.6[/tex] which would suggest that the mean body temperature for males is greater than 98.6°
The test statistic, t, is given to us as [tex]t=-3.77[/tex], rounded to 2 decimal places
We can determine the p-value by calculating tcdf(-1e99,-3.77,37). This means that we are finding the area less than the t-statistic with degrees of freedom equal to df=n-1=38-1=37. Therefore, the p-value is 0.000285 when evaluated.
Therefore, because our p-value is less than our significance level of α=0.01, there is no sufficient evidence to prove that the claim that for 10 AM body temperatures for males, the mean is less than 98.6°F, is true. We reject the null hypothesis, in other words, because the p-value suggests that it's unlikely that the null hypothesis is true.
The null hypothesis is rejected since the p-value shows that it is unlikely to be true.
What is the hypothesis?In statistics, hypothesis testing is the process by which an analyst tests an assumption about a population's parameter. Using sample data, hypothesis testing is performed to examine the plausibility of a theory.
As per the given question, the required solution would be as:
A) Hypothesis test :
The null and alternative hypothesis is
Hi : u = 98.6
Ha : u < 98.6
B) Test statistic is t = -3.831
C) sample size, n= 31
degree of freedom,
df = n -1 = 31 - 1 = 30
P-value = p(t < -3.831 )
= 0.0003 (from t table)
d) P-value < 0.10, reject the null hypothesis.
is, support
As a result, because our p-value is less than our significance level of =0.01, there is insufficient evidence to support the assertion that the mean body temperature for men at 10 AM is less than 98.6°F.
Thus, we reject the null hypothesis since the p-value shows that it is unlikely to be true.
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Pls help me asap!! Only answer if u know the correct answer! Thanks! :)
Answers
I hope this helps, please tell me of you want a step by step, I can give one. :)
Calculate the arithmetic mean of the numbers.
-16, -9, and 4
Answers
Answer:
-7
Step-by-step explanation:
The arithmetic mean of the numbers - 16, - 9 and 4 is,
⇒ - 7
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
Numbers are,
⇒ - 16, - 9 and 4
Now, We can formulate;
The arithmetic mean of the numbers - 16, - 9 and 4 is,
⇒ (- 16 + (- 9) + 4 ) / 3
⇒ (- 16 - 9 + 4) / 3
⇒ - 21 / 3
⇒ - 7
Thus, The arithmetic mean of the numbers - 16, - 9 and 4 is,
⇒ - 7
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The supermarket has 10 aisles. 1 of the aisles is empty. What percentage of the aisles are empty?
Write your answer using a percent sign (%).
Answers
Answer:
10%
Step-by-step explanation:
1 out of 10 isles is the same as doing 1 divided by 10, which gets 0.1. To make this a percentage you would multiply it by 100 to get 10%
Cuanto es ³/4 de cerezas
Answers
Answer:
3/8
Step-by-step explanation:
PLEASE HELPPPP! i already asked the question but no one answered.. and my test is due in 20 minutes IM BEGGIN for the map above, state the domain and range, then determine if the relation is a function.
Answers
because the income(x) cannot have multiple outcomes that are different
Answer:
Step-by-step explanation:
domain is x = input = {3, 6, 12, 18}
Range is y = output = {5, 7, 9, 10}
for x = 6 y has two values y = 5, 10
so it is not a function
A drilling crew dug to a height of -45 1/4 feet during their first day of drilling. On the second day, the crew dug down 9 1/3 feet more than on the first day. Describe the height of the bottom of the hole after the second day.
Answers
The height of the bottom of the hole after the second day is -35 11/12 feet
Given:
Day 1 height = -45 1/4 feet
Day 2 height = -45 1/4 + 9 1/3
= - 181/4 + 28/3
= (-543 + 112) / 12
= -431/12
= -35 11/12 feet
Therefore, the height of the bottom of the hole after the second day is -35 11/12 feet
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If 6 numbers have a mean of 5, and five of the numbers are 3, 2, 1, 7, and 6, what is the sixth number?
Answers
Answer:
see below
Step-by-step explanation:
the total value of the 6 numbers is 30 and the sum of the given 5 numbers is 19 therefore the 6th number is 11
PLEASE I NEED HELP!! Due TODAY!!!!! I need someone who is actually good at this!!
Answers
Answer:
#8= B
#6= C
#7= D
#9= C
#10= A
Step-by-step explanation:
[First one, aka #8] c
- subtract 7x from both sides
- divide by 5
- slope is m is y = mx + b
[Second one, aka #7] is d
- subtract 2x from both sides
- divide by 5
- find the negative reciprocal
[Third one, aka #6] is c
- will have a slope of 2 since it is parallel
- plug the point into y = 2x + b and solve for b
[Fourth one, aka #9] is a
- change in d over change in c
- 29 - 20 / 6 - 0 = 9/6 = 3/2
[Fifth one, aka #10] is b
- I created the system:
2h + m = 2.85
3h + 2m = 4.45
- Because he had two hotdogs (2h) and one milk (m), and then 3 hotdogs (3h) and 2 milk (2m) so option b matches the best
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Nicole was given a box of assorted chocolates for her birthday. Each night, Nicole
treated herself to some chocolates. There were originally 24 chocolates in the box and
Nicole ate 3 chocolates each night. Make a table of values and then write an equation
for C, in terms of t, representing the number of chocolates remaining in the box t
days after Nicole's birthday.
Number of Days After Nicole's
Birthday
Number of Chocolates Remaining in the
Box
0
1
2
3
Answers
Step-by-step explanation:
T | 0 | 1 | 2 | 3 |
C | 24 | 21 | 18 | 15 |
Rule:
To find a rule, we need to find 2 things- what T is multiplied by and what is added.
To find what it is multiplied, we need to see the increase or decrease in C for every T. In this equation, there is a decrease of 3, so we multiply T by -3.
To find what is added, we go to 0 T and find the corresponding number. When T is 0, C is 24 so we add 24.
We write a rule as: y = mx + c, or in this case, c = mt + a
So the rule is c = -3x + 24
Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work. I am having trouble writing the equation will someone do it for me because I don't understand.
Answers
Answer:
Our equation: y = 200x/3 + 100
Step-by-step explanation:
The trend line is linear.
y = mx + b
=> b = y-intercept = 100
=> m = slope = rise/run
=> 400/6 = 200/3
=> Slope = 200/3
Our equation: y = 200x/3 + 100
Hoped this helped.
The coordinates of the vertices of △PQR are P(1, 4), Q(2, 2), and R(−2, 1). The coordinates of the vertices of △P′Q′R′ are P′(−1, 4), Q′(−2, 2), and R′(2, 1).
Which statement correctly describes the relationship between △PQR and △P′Q′R′?
1. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a translation 2 units to the left, which is a rigid motion.
2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.
3. △PQR is not congruent to △P′Q′R′ because there is no sequence of rigid motions that maps △PQR to △P′Q′R′.
4. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the x-axis, which is a rigid motion.
no links please
Answers
Answer:
the Answer is:
△DEF is congruent to △D′E′F′ because the rules represent a translation followed by a reflection, which is a sequence of rigid motions.
Step-by-step explanation:
I got 100% on the quiz
The two triangles ΔPQR and ΔP'Q'R' are congruent.
What are coordinates?A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.
The statement that correctly describes the relationship between △PQR and △P′Q′R′ is:
2. △PQR is congruent to △P′Q′R′ because you can map △PQR to △P′Q′R′ using a reflection across the y-axis, which is a rigid motion.
From the attached graph we can observe that the given Triangle PQR is reflected across the y-axis.
In this case, a translation, a reflection across the x-axis, but a reflection across the y-axis can map △PQR onto △P′Q′R′. Therefore, the two triangles are congruent.
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____x0.01 = 180.4932
what's the answer?
Answers
180.4932/0.01= 18049.32
or
Just move the decimal point twice to the right
Solve.
−4 3/4=x−1 1/5
What is the solution to the equation?
Enter your answer as a simplified mixed number in the box.
X= ??
Answers
Decimal form: x=-3.55
i need help someone plzzz
Answers
Answer:
on what...like brush how do we help u if u don't have a question
Identify the terms, coefficients, and constants in the expression 15x+3
Answers
Answer:
coefficients are : 15. constants are: 3
Step-by-step explanation: hope it helps
In the expression, 15x + 3 there are two terms.
The coefficient of x is 15.
The constant term is 3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
15x + 3
There are two terms:
15x and 3
The coefficient of x is 15.
The constant term is 3.
Thus,
There are two terms.
The coefficient of x is 15.
The constant term is 3.
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x^8+8x^7+15x^6−9x^5−72x^4−135x^3+8x^2+64x+120
Factor completely given the following factors: (x+5) and (x+3)
There should be 6 factors (2 given, 2 binomials, and 2 trinomials.)
show steps
Answers
Answer:
(x+3)(x+5)(x-2)(x-1)(x^2+2x+4)(x^2+x+1) where the given one is bolded the 2 binomials is italicized and the 2 trinomials is underlined
Step-by-step explanation:
and side q has a
In the 30-60-90 triangle below, side s has a length of
length of
30°
g
10
90°
60°
S
A. 5.10.15
B. 10.13.20
C. 105: 105
Answers
Answer:
E
Step-by-step explanation:
Using the cosine and sine ratios in the right triangle and the exact values
cos60° = [tex]\frac{1}{2}[/tex] , sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2s = 10 ( divide both sides by 2 )
s = 5
------------------------------
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{q}{10}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2q = 10[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
q = 5[tex]\sqrt{3}[/tex]
SOMEONE PLEASE HELP‼️‼️‼️ ILL MARK BRAINLYEST PLEASE ‼️‼️
The length of the midsegment is _____ of the length of the base of the triangle.
A. 1/3
B. 1/4
C. 1/5
D. 1/2
Answers
Answer: 1/2
Step-by-step explanation:
No matter which midsegment you created, it will be one-half the length of the triangle's base (the side you did not use), and the midsegment and base will be parallel lines!
X=6 and 6=K so x=
Use the transitive property of equality to finish the equation
Answers
Answer:
X=6
Step-by-step explanation:
Hope this helps.
Answer:
x = K
Step-by-step explanation:
If,
x = 6
and 6 = k
=> x = 6 = k
=> x = k
The Transitive Property of Equality states the same fact as:
"If two units are equal to each other and the second unit is equal to a third unit, then the first unit is also equal to the third unit."
Shiva drank 2 3 liter of water Monday before going jogging. She drank 3 7 liter of water after her jog. How much water did Shiva drink altogether?
Answers
Answer:
2/3 = 16/243/8 = 9/2416/24 + 9/24 = 25/2425/24 = 1 and 1/24
Step-by-step explanation:
Someone please help with this math
Answers
i don’t understand! help pleaze how do i find the side lengths??
Answers
Answer:
A
Step-by-step explanation:
cos x = adjacent side / hypotenuse
cos 60 = 9√2/2 / x
1/2 = 9√2/2 / x
x = 9√2
tan x = opposite side / adjacent side
tan 60 = y / 9√2/2
√3 = 2y / 9√2
9√6 = 2y
y = 9√6/2
Add (8y - 2x) + (-4y - 3x)
A. 4y - 5x
B. -4y - x
C. -4y - 5x
D. -32y + 6x
Answers
Answer:
its none of these its -6x + 4y
Step-by-step explanation:
Answer:
A. 4y - 5x
Step-by-step explanation:
8y - 4y = 4y
-2x -3x = -5x
I hope this helps!