Answer:
1. option C, i.e., symmetric property.
2. option B, i.e., Integer
3. option D, i.e., zero product property
Step-by-step explanation:
Symmetric property: According to this property it a=b the b=a.
By symmetric property, we can say that, if y=7 then 7=y.
Therefore, the correct option is C, i.e., symmetric property.
Closure property: According to this property, if a∈S and b∈S, then a*b∈S.
Subtraction of natural numbers is not always natural.
Subtraction of integers is always integer.
Subtraction of irrational number is not always irrational number.
Subtraction of odd number is always even.
Therefore, the correct option is B, i.e., Integer.
Given statement is (a-b)*0=0.
According to zero product property if ab=0, then a=0 or b=0.
So, the given statement is true by zero product property.
Therefore, the correct option is D, i.e., zero product property.
Point A is located at (2, 6) and point B is located at (18, 12). What point partitions the directed line segment AB¯¯¯¯¯ into a 2:3 ratio?
A. (8 2/5, 8 2/5)
B. (10 1/2, 10 1/2)
C. (11 3/9, 9 3/5)
D. (14 1/2, 12)
Answer:
A. (8 2/5, 8 2/5)
Step-by-step explanation:
You want to find point P such that ...
AP : PB = 2 : 3
3AP = 2PB . . . . . . . . cross multiply
3(P -A) = 2(B -P) . . . recognize length XY = Y - X
5P = 3A +2B . . . . . collect P terms
P = (3A +2B)/5 = (3(2, 6) +2(18, 12))/5 = (6+36, 18+24)/5= (42, 42)/5
P = (8 2/5, 8 2/5) . . . . matches choice A
if x = 5 find the value of a) x² b) (x + 3)²
Answer:
x=5a)x²
5²=25
b] (x+3)²
(5+3)²
(8)²=64
In a kite ABCD, AB=CB , AD = CD, <B= 115 degree, <D=30 degree. Find <A = ?
Answer:
The measure of ∠A = 107.5°
Step-by-step explanation:
Given that
ABCD is a kite such that
AB = BC and AD = DC
Join A and C
Since AB = BC
→ ∠BAC = ∠BCA
Since , the angles opposite to equal sides are equal.
Let ∠BAC = ∠BCA = x°
and
Since AD = DC
→ ∠CAD = ∠ACD
Since , the angles opposite to equal sides are equal.
Let ∠CAD = ∠ACD = y°
Now
In ∆ ADC ,
∠ADC + ∠CAD + ∠ACD = 180°
Since , the sum of the all angles in a triangle is 180°
⇛ 30° + y°+ y° = 180°
⇛ 30°+2y° = 180°
⇛ 2y° = 180°-30°
⇛ 2y° = 150°
⇛ y° = 150°/2
⇛ y° = 75°
Therefore, ∠CAD = ∠ACD = 75°
and
In ∆ ABC,
∠ ABC + ∠BAC + ∠BCA = 180°
Since , the sum of the all angles in a triangle is 180°
⇛ 115° + x° + x° = 180°
⇛ 115°+2x° = 180°
⇛ 2x° = 180°-115°
⇛ 2x° = 65°
⇛ x° = 65°/2
⇛ x° = 32.5°
Therefore, ∠BAC = ∠BCA = 32.5°
Now, ∠ A = ∠BAC + ∠CAD
⇛ ∠A = 32.5° + 75°
⇛ ∠A = 107.5°
Therefore, ∠A = 107.5°
Answer:-
) The measure of ∠ADC = 145°) The measure of ∠A = 107.5°Read more:
Similar Questions
ABCD is a kite with AD=AB A= 116° B=2x° D=(5x-147)° Find the size of the smallest angle of the kite.
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What is the relationship between these two vectors?
Answer:
a and c
Step-by-step explanation:
that's because they both have a and c....so their relationship is a and c
Halppppppppppppp..............
Answer:
1 2/3, and -1 2/3
Step-by-step explanation:
Im wondering how old you are, and since you seem young just based off the math you're asked to do, please listen to the explanation and teach yourself this. This skill in particular is SOOO important to the rest of the math world. So since your number line is already divided into thirds, there are two ways you could find your answer. One, you can count 5 thirds away from zero, or two, you could simplify 5/3 from an improper fraction to a mixed number (1 2/3) and find your spot from there. "and the opposite" means not only the point 5/3 Away from zero on the Right, but also 5/3 away from zero on the Left. start from zero again and count the same amount away but in the opposite direction. With negatives it can help to think of how all numbers are just descriptions of how far left or right a number is from zero. i hope this helped lol, negatives are a confusing batch, but they're so so important to math as a whole.
Multiply the binomials:
(3x + 4)(5x − 2)
Answer:
15x^2 + 14x - 8
Step-by-step explanation:
A worker on an assembly line packed 156 boxes in 3 hours. At this rate, how many boxes would the worker pack in 7 hours?
Answer:
364
Step-by-step explanation:
156/3 = 52 boxes/hour
52 boxes x 7 hours = 364
A regular polygon has an exterior angle of 40
°
Work out the number of sides of the polygon.
Answer:
9 sides
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
To find the number of sides n divide the sum by 40°
n = 360° ÷ 40° = 9
Please help i will give brainliest :)
A line with a slope of -6 passes through the point (-8, -3). What is its equation in point-
slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions,
and improper fractions. Simplify all fractions.
Answer:
y+3=-6(x+8)
Step-by-step explanation:
Because we already know a point and the slope, we can put our equation in the form y-y1=m(x-x1);
y+3=-6(x+8)
Find the x - and y -intercepts of the graph of the linear equation -4x+8y=-16 .
Answer:
x: (4, 0)y: (0, -2)Step-by-step explanation:
To find the x-intercept, set y=0 and solve for x. That will mean dividing by the coefficient of x:
-4x +0 = -16
x = -16/-4 = 4 . . . . the x-intercept
__
To find the y-intercept, set x=0 and solve for y. That will mean dividing by the coefficient of y:
0 +8y = -16
y = -16/8 = -2 . . . . the y-intercept
__
The x- and y-intercepts are (4, 0) and (0, -2), respectively.
_____
Additional comment
The standard form equation of a line, ax+by=c, is especially nice for finding the intercepts, as they are always (c/a, 0) and (0, c/b). Once you see this, you can do a question like this in your head.
HELP!!!!!!!!!!!!!!!!!!PLEASE!!!!!!!
Answer:
its F for the inequality to be true
Weight is a measure of force affected by gravity. The Moon's
gravity is less than Earth's gravity, so objects weigh less on
the Moon than on Earth.
Using the information provided, how much do you think
a cat will weigh on the Moon? Explain your reasoning.
Tell it step by step
I think I need to know what the cat weighs first...
1/4 , 0.5 , 10/25 from least to greatest
Answer: 1/4, 10/25, 0.5
Explanation: It doesn't take rocket science to solve this Brainliest please!
A bracelet is made of 14 red beads and 19 gold beads. A necklace is made of 84 red beads and 133 gold beads. Do the two pieces of jewelry have the same ratio of red beads to gold beads?
Answer:
No, the ratio is a bit inconsistent.
Step-by-step explanation:
The relationship between 14 and 84 red beads is multiplying by 6.
The relationship between 19 and 133 gold beads is multiplying by 7.
Hope this helps,
A cheerful teen willing to help,
stay positively safe!
Do number 5 this is not a quiz
Answer:
x = 50 in.
Step-by-step explanation:
72 in. ÷ 36 in. = 2
2 x 25 in.
= 50 in.
I really need help with this one it's due today!!
Answer:
-2/3
3/2
Step-by-step explanation:
So to have a line parallel the equation is: m1 = m2, meaning the slope (represented by m in this equation) is equal. So in the equation. 3y = - 2x + 4 you need to simplify the equation by dividing both sides by 3. Which would be like so: y = - 2/3x + 4/3, which the slope will be -2/3.
To be perpindicular you need the slope to be: m1 * m2 = - 1. So because we already know that the slope is -2/3, all we need to do is set up an equation: -2/3 * y = - 1
-2/3y = - 1
multiply both sides by 3/-2
y = 3/2
Question 8 of 10
What is the length of PR?
A. 9
B. 63
C. 11
D. 7
Answer:
b
Step-by-step explanation:
Answer:
C. 7
Step-by-step explanation:
got it right on the quiz.
Brainliest?
Chelsea has 11 times as many brushes as Monique if they have 60 brushes altogether how many brushes would Chelsea have
Answer:
Your anwser would be
5.45454545455
Step-by-step explanation:
since Chelsea has 11 times as many brushes as Monique ypo would need to divide 11 from 60 and that gets you 5.4545
Why because now that you have 5.4545mutiply that by 11 and you get 60 since Chelsea has 11 times as many brushes as Monique.
Use the diagram showing m || n, as well as the relationships between interior and exterior angles of ΔABC, to answer the questions.The measure of angle ABC is °.The measure of angle BAC is °.The measure of angle ACB is °.
Answer:
Angle B is the linear pairs with 60°, so the size is 180-60=120°
Angle ABC is the linear pair with 120°, so the size is 180-120-60°
Angle A corresponds to angle 60°, so they are equal
Angle BAC is the linear pair with angle A and angle 70°, so 180-(60+70)=50°
Angle ACB is 180-(50+60) = 70°
Step-by-step explanation:
The solution is:
The measure of angle ABC is 60°.
The measure of angle BAC is 50°.
The measure of angle ACB is 70°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Angle B is the linear pairs with 60°,
so the size is 180-60=120°
Angle ABC is the linear pair with 120°,
so the size is 180-120 =60°
Angle A corresponds to angle 60°,
so they are equal
Angle BAC is the linear pair with angle A and angle 70°,
so 180-(60+70) =50°
and, we have,
Angle ACB is 180-(50+60) = 70°
Hence, The solution is:
The measure of angle ABC is 60°.
The measure of angle BAC is 50°.
The measure of angle ACB is 70°.
To learn more on angle click:
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(x + 1)(x + 2)(x + 1)(3x + 2)
Answer:
Is it the full question I mean what does it want next anyway?
But here's your answer :
3x^4 + 14x^3 + 23x^2 + 16x + 4
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Answer:
6 and 28
Step-by-step explanation:
Question 8: Since the sum is atmost 16, the largest possible value of the number is available when the sum is 16. Then, we have 2x + 4 = 16, and that equals 2x = 12, which leads to x = 6.
Question 9. Since your bank value has to be above 525, and 814 dollars keep decreasing 10 each day, we know that it will stop at 534, because having 524 dollars will be below 525. Now, 814 - 534 = 280, and since you pay 10 every day, 280/18 = 28 days.
(3/4(3/5) simplify i need the answer because i dont get it
Answer:
35 is already in the simplest form. It can be written as 0.6 in decimal form (rounded to 6 decimal places).
...
Reduce 3/5 to lowest terms
Find the GCD (or HCF) of numerator and denominator. GCD of 3 and 5 is 1.
3 ÷ 15 ÷ 1.
Reduced fraction: 35. Therefore, 3/5 simplified to lowest terms is 3/
Step-by-step explanation:
pa help po
13.) given that " G " varies directly as " h " and g=64 when h=8 find the variation constant
can you plss answer no.# 13-15
wc in advance po
take note
nonsense answer= report
good answers will get brainlist and I'll follow you and I'll rate you
It would take 12 men 18 days to complete the job.
1) g ∝ h
g = kh; where k is the constant of variation.
g = 64, h = 8, hence:
64 = 8k
k = 8
g = 8h
2) j ∝ 1/h
j = k/h; where k is the constant of variation.
j = 190, h = 7, hence:
190 = k/7
k = 1330
j = 1330/h
When h = 70:
j = 1330/70
j = 19
3) y represent number of men and x represent the days
y ∝ 1/x
y = k/x
9 = k/24
k = 216
y = 216/x
For 18 days:
y = 216/18 = 12 men
Hence it would take 12 men 18 days to complete the job.
Find out more at: https://brainly.com/question/21126582
1/9 × 3 9/10 = as a mixed number
Answer:
4 1/90
Step-by-step explanation:
I did It so yeah thats it
How to find derivative of a curved graph.
A tank pumps out liquid at a rate of 12 gallons every 20 days. What is the unit rate in gallons per week?
Answer:
4.2
Step-by-step explanation:
simplify 12 and 20 to 6 and 10 then divide 6 by 10 and multiply by 7 to get the answer.
The unit rate or rate of change of gallons per week will be 4.2 gallons/week.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
12 gallons in every 20 days,
The unit rate per day will be as,
12/20 = 0.6 gallons per day
It is known that, 1 week = 7 days,
Unit rate per week = 0.6 x 7 = 4.2 gallons/week
Hence "The unit rate, often known as the rate of change, will be 4.2 gallons per week".
To learn more about the rate of change here,
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What is the value of x?
Enter your answer in the box. x = °
Answer:
x=80
Step-by-step explanation:
my god this should be easy and I thought I was a bit slow
At the grocery store, 3 apples cost $0.65. What is the cost of 8 apples?
Answer:
$1.76
Step-by-step explanation:
First we need to figure out the cost of one apple.
To do this, divide the cost by the amount.
That's .65/3, which equals .216666, but we should round that number to .22
So if one apple is 22 cents, and we need to know how much money 8 apples is, we times .22 by 8, which gives us 1.76
Hope this helps :))
At the grocery shop, the cost of 3 apples is $0.65 then the cost of 8 apples is $1.76.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
The given information in the question,
The cost of 3 apples = $0.65
The cost of 1 apple = $0.65/3 = $0.22
The cost of 8 apples = $0.22 × 8 = $1.76.
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your amazing and beautiful or handsome or whatever you are comfortable with!:D
Answer:
1. C
2. E
3. D
4. A
5. B
Step-by-step explanation:
1. It shows that the number of students decrease.
2. It increases more than the breakfast (B)
3. It's on thin line representing the students and workers whom stayed in the cafeteria.
4. It increases showing the same amount of students that entered the other day.
5. The same
