In the figure, OM is perpendicular to AB. Prove that M is the the midpoint of AB.
Answers
we know by looking at the picture that m is the midpoint of AB since O to M doted lines had half into two equal parts.so M is in the midpoints of AB.
Step-by-step explanation:
to prove: M is the midpoint of AB
given: OM is perpendicular to AB
construction: joint AO and BO
proof: in the given fig,
OA and OB are joined
In Δ AOM and ΔBOM
AO = BO ( two sides of Δ AOB )
OM = OM ( common )
∴ Δ AOM ≅ Δ BOM ( by SAS rule )
∴ AM = BM ( by CPCT ) -------- 1
∴ M is the midpoint of AB ( from 1 )
⇒hence proved
HOPE THIS HELPED and PLEASE MAKE ME AS THE BRAINLIEST
Related Questions
Write the number in scientific notation.
a) 423.6
b) 7,194,548
c) 500.23
d) 71.23884
e) .562
f) .0348
g) .000123
h) .5603002
Answers
Answer:
a) 4.236 x 10^2
b) 7.194548 x 10^6
c) 5.0023 x 10^2
d) 7.123884 x 10^1
e) 5.62 x 10^-1
f) 3.48 x 10^-2
g) 1.23 x 10^-4
h) 5.603002 x 10^-1
Hopefully this helps :)
Answer:
a) 423.6=4.236*10^2
b) 7,194,548=7.194548*10^6
c) 500.23=5.0023*10^2
d) 71.23884=7.123884*10^1
e) 0.562=5.62*10^-1
f) 0.348=3.48*10^-1
g) 0.000123=1.23*10^-3
h) 0.5603002=5.603002*10^-1
Step-by-step explanation:
The numbers in which the point lies must be between 0 and 10
Hope this helps ;) ❤❤❤
Please answer this question now
Answers
Answer:
This is simple! (Kind of)
Step-by-step explanation:
First, notice how HJ is tangent. HG is a radius intersecting HJ at H.
This means, (According to some theorem that I forgot the name of) that GHJ is a right angle.
Thus, we can use the 180* in a triangle theorem.
[tex]180=90+54+6x+6[/tex]
So, let's solve!
[tex]30=6x\\5=x[/tex]
So, there you go! Nice and simple!
Hope this helps!
Stay Safe!
Step-by-step explanation:
hope it helps yoy..........
The quadrilateral shown is a (blank) x= (blank)
Answers
Answer:
The quadrilateral shown is a kite, because it has two non-congruent pairs of congruent sides
x = 3
Step-by-step explanation:
The vertex angles in a kite are bisected by the diagonals. Thus, 11x = 9x + 6.
11x=9x+6
2x=6
x=3
Hope it helps <3
What is the center of the circle with the equation (x+4)^2 + (y - 2)^2 = 16? a (-4, -2) b (4,2) c (-4, 2) d (4, -2)
Answers
Answer:
C) (-4, 2)
Step-by-step explanation:
Answer:
The center is ( -4,2) and the radius is 4
Step-by-step explanation:
The equation of a circle can be written as
( x-h) ^2 + ( y-k) ^2 = r^2 where ( h,k) is the center and r is the radius
(x+4)^2 + (y - 2)^2 = 16
(x- -4)^2 + (y - 2)^2 = 4^2
The center is ( -4,2) and the radius is 4
In meters, find the value of x?
Answers
Answer:
75 meters
Step-by-step explanation:
30/50 = 45/x
x = 75
Answer:
x= 75m
Step-by-step explanation:
If we call the angle in the bottom left θ, then the sinθ=(opposite side)/(hypotenuse).
For the smaller triangle:
sinθ=30/50
And for the bigger triangle:
sinθ=45/x
So:
30/50=sinθ=45/x
30/50=45/x
x=(45•50)/30=2250/30=75
So x= 75 meters
16. Jessica was given the area and the length of the base of a triangle. A = 17.5 units, b = 5 units. She solved the formula for area for h to find the height of the triangle. Determine if Jessica solved the equation correctly and found the correct answer. If not, describe what mistake she made and solve the formula for h correctly and justify your steps.
A = 1/2bh
1/2A • b = h
1/2 (17.5)(5) = h
43.75 = h
The height of the triangle is 43.75 units.
Answers
Answer:
h = 7 units
Step-by-step explanation:
Jessica made an error with the [tex]\frac{1}{2}[/tex] in that she multiplied A by it instead of dividing.
Given
A = [tex]\frac{1}{2}[/tex] bh
with A = 17.5 and b = 5, then
17.5 = [tex]\frac{1}{2}[/tex] × h × 5 ( multiply both sides by 2 to clear the fraction )
35 = 5h ( divide both sides by 5 )
h = 7
it is wrong .
Jessica's mistake:
A = 1/2bh
1/2A • b = h >she should multiply the area with 2 not 1/2 and divide the area by b rather than multiply by b
1/2 (17.5)(5) = h
43.75 = h
correct answer:
A = 1/2bh
2A/b=h
h=2(17.5)/5
h=7
!!!!PLEASE HELP!!!!!
Answers
Answer:
inverse = ( log(x+4) + log(4) ) / (2log(4)), or
c. y = ( log_4(x+4) + 1 ) / 2
Step-by-step explanation:
Find inverse of
y = 4^(-6x+5) / 4^(-8x+6) - 4
Exchange x and y and solve for y.
1. exchange x, y
x = 4^(-6y+5) / 4^(-8y+6) - 4
2. solve for y
x = 4^(-6y+5) / 4^(-8y+6) - 4
transpose
x+4 = 4^(-6y+5) / 4^(-8y+6)
using the law of exponents
x+4 = 4^( (-6y+5) - (-8y+6) )
simplify
x+4 = 4^( 2y - 1 )
take log on both sides
log(x+4) = log(4^( 2y - 1 ))
apply power property of logarithm
log(x+4) = (2y-1) log(4)
Transpose
2y - 1 = log(x+4) / log(4)
transpose
2y = log(x+4) / log(4) + 1 = ( log(x+4) + log(4) ) / log(4)
y = ( log(x+4) + log(4) ) / (2log(4))
Note: if we take log to the base 4, then log_4(4) =1, which simplifies the answer to
y = ( log_4(x+4) + 1 ) / 2
which corresponds to the third answer.
Which expression is equivalent to StartFraction (2 m n) Superscript 4 Baseline Over 6 m Superscript negative 3 Baseline n Superscript negative 2 Baseline EndFraction? Assume m not-equals 0, n not-equals 0. StartFraction 8 m Superscript 7 Baseline n Superscript 6 Baseline Over 3 EndFraction StartFraction 10 m Superscript 7 Baseline n Superscript 6 Baseline Over 3 EndFraction StartFraction 8 m Superscript 16 Baseline n Superscript 12 Baseline Over 3 EndFraction StartFraction m Superscript 4 Baseline n Superscript 6 Baseline Over 3 EndFraction
Answers
Answer:
[tex]\dfrac{8m^7n^6}{3}[/tex]
Step-by-step explanation:
[tex]\dfrac{(2mn)^4}{6m^{-3}n^{-2}}=\dfrac{2^4}{6}m^{4-(-3)}n^{4-(-2)}=\boxed{\dfrac{8m^7n^6}{3}}[/tex]
__
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
1/a^b = a^-b
(a^b)(a^c) = a^(b+c)
Answer:
A
Step-by-step explanation:
Solve for x in the diagram below.
Answers
Answer:
x=20
Step-by-step explanation:
3x + 2x + 80=180
5x+80=180
5x=100
x=20
Answer:
x = 20 degrees
Step-by-step explanation:
For this problem, it is important to know that the measure of a line is 180 degrees. With this in mind, let's build an equation:
3x + 80 + 2x = 180
Now that we have this equation, let's solve for x.
3x + 80 + 2x = 180
5x + 80 = 180
5x = 100
x = 20
Hence, x is 20 degrees.
Cheers.
Last season, a softball team played 18 games. The team won 15 of these games. What is the ratio of the softball team's wins to its total number of games played ?
Answers
Answer:
5:6Step-by-step explanation:
Given the total number of games played by the softball team = 18 games
Total games won = 15 games
Ratio of the softball team's wins to its total number of games played can be gotten by simply dividing the total games won by the total games played
Ratio = [tex]\frac{total \ teams's win}{total\ number\ of \ games\ played}[/tex]
[tex]Ratio = \frac{15}{18}[/tex]
Expressing the ratio in its lowest term
[tex]Ratio = \frac{3*5}{3*6} \\\\Ratio = \frac{5}{6}[/tex]
Hence, the ratio of the softball team's wins to its total number of games played is 5:6
In a competition, a school awarded medals in different categiories.40 medals in sport 25 medals in danceand 212 medals in music, if the total of 55 students got medals and only 6 students got medals in the three categories ,how many students get medals in exactly two of these categories?
Answers
Answer:
210
Step-by-step explanation:
Given:
Medals in sports = 40
Medals in dance = 25
Medals in music = 212
Total students that received medals = 55
Total students that received medals in all three categories = 6
Required:
How many students get medals in exactly two of these categories?
Take the following:
A = set of persons who got medals in sports.
B = set of persons who got medals in dance
C = set of persons who got medals in music.
Therefore,
n(A) = 40
n(B) = 25
n(C) = 212
n(A∪B∪C)= 55
n(A∩B∩C)= 6
To find how many students get medals in exactly two of these categories, we have:
n(A∩B) + n(B∩C) + n(A∩C) −3*n(A∩B∩C)
=n(A∩B) + n(B∩C) + n(A∩C) −3*6 ……............... (1)
n(A∪B∪C)=n(A)+n(B)+n(C)−n(A∩B)−n(B∩C)−n(A∩C)+n(A∩B∩C)
Thus, n(A∩B)+n(B∩C)+n(A∩C)=n(A)+n(B)+n(C)+n(A∩B∩C)−n(A∪B∪C)
Using equation 1:
=n(A)+n(B)+n(C)+n(A∩B∩C)−n(A∪B∪C)−18
Substitute values in the equation:
= 40 + 25 + 212 + 6 − 55 − 18
= 283 - 73
= 210
Number of students that get medals in exactly two of these categories are 210
Find the equation for a hyperbola centered at (0, 0), with foci at (0,-sqrt73)) and (0,-sqrt73)) and vertices at (0, -8) and (0, 8).
Answers
Answer:
[tex]\dfrac{y^2}{64}-\dfrac{x^2}{9}=1[/tex] .
Step-by-step explanation:
Since vertices lie on y-axis. So, it is a vertical parabola of the form
[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]
where, (h,k) is center, [tex](h,k\pm c)[/tex] is focus and [tex](h,k\pm a)[/tex] is vertex.
Center is (0,0). So, h=0 and k=0.
Foci are [tex](0,\pm \sqrt{73})[/tex]. So [tex]c=\sqrt{73}[/tex].
Vertices are [tex](0,\pm 8)[/tex]. So [tex]a=8[/tex].
We know that,
[tex]a^2+b^2=c^2[/tex]
[tex]8^2+b^2=(\sqrt{73})^2[/tex]
[tex]b^2=73-64[/tex]
[tex]b=3[/tex]
Put h=0,k=0, a=8 and b=3 in equation (1).
[tex]\dfrac{(y-0)^2}{8^2}-\dfrac{(x-0)^2}{3^2}=1[/tex]
[tex]\dfrac{y^2}{64}-\dfrac{x^2}{9}=1[/tex]
Therefore, the required equation is [tex]\dfrac{y^2}{64}-\dfrac{x^2}{9}=1[/tex] .
What is the slope of (3,-2) (2,-4)
Answers
Answer:
2
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= ( -4 - -2)/ ( 2-3)
= ( -4+2)/( 2-3)
= -2/ -1
= 2
please hellppp ......
Answers
Answer:
BC = 11.9Step-by-step explanation:
To solve for BC we use sine
sin ∅ = opposite / hypotenuse
From the question
AC is the hypotenuse
BC is the opposite
So we have
sin 58 = BC / AC
sin 58 = BC / 14
BC = 14 sin 58
BC = 11.87
BC = 11.9 to one decimal place
Hope this helps you
Answer:
[tex]\boxed{BC = 11.9 \ cm}[/tex]
Step-by-step explanation:
Sin A = [tex]\frac{opposite}{hypotenuse}[/tex]
Where A = 58°, Opposite = BC and AC = 14 cm
Sin 58 = [tex]\frac{BC}{14}[/tex]
BC = 0.848 * 14
BC = 11.9 cm
Could someone help me understand this?
Answers
Answer: the correct answer is D.
Step-by-step explanation:
Since we are given the values of angle B and side(a) we can set up an equation cos43.2=3.2/x
we will get 4.4 so c=4.4
using the paythagorion theorm (4.4)^2=x^2+(3.2)^2
we will get an approximate value of 3 so b=3
and for the finding the third angle x+43.2+90=180
x=46.8 degrees
Answer D
In the triangle below, Four-fifths represents which ratio?
Answers
Answer:Sin
Step-by-step explanation:
right angled triangle special trig functions can be applied
plz help, will give brainiest
(08.01, 08.02, 08.03 HC)
Create a factorable polynomial with a GCF of 3x. Rewrite that polynomial in two other equivalent forms. Explain how each form was created. (10 points)
Answers
Answer:
4x^2 + 8x + 4
4(x^2 + 2x + 1) - remove GCF of 4
4(x + 1)(x + 1) - factor
4(x + 1)^2 - collect like terms
Step-by-step explanation:
Then also expand it out by distributing:
21x^3 + 35x²
Form 1:
21x^3 + 35x² - unfactored
Form 2:
7x²(3x + 5) - factored with GCF of 7x² brought to the front
Update:
You could also multiply two binomials and make a quadratic.
Example:
(7x + 2)(3x + 5)
7x(3x + 5) + 2(3x + 5)
= 21x² + 35x + 6x + 10
= 21x² + 41x + 10
The favorable polynomial with a GCF of 3x will be 21x² + 41x + 10.
What is a polynomial?
A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
The polynomial will be solved as below:-
21x³ + 35x²
Form 1:
21x³ + 35x² - unfactored
Form 2:
7x²(3x + 5) - factored with GCF of 7x² brought to the front
You could also multiply two binomials and make a quadratic.
E = (7x + 2)(3x + 5)
E = 7x(3x + 5) + 2(3x + 5)
E = 21x² + 35x + 6x + 10
E = 21x² + 41x + 10
To know more about polynomials follow
brainly.com/question/2833285
#SPJ2
Which number is the additive inverse of –5? A.– 1/5 B.0 C.1/5 D.5
Answers
Answer:
Hey there!
The additive inverse means the number opposite to five.
The additive inverse of negative five is positive five.
Hope this helps :)
Answer:
The additive inverse of negative five is positive five.
explanation:
Can I get some help?? Ty
Answers
================================================
Explanation:
Subtract straight down. The x terms subtract to 5x-2x = 3x. The y terms subtract to 3y-3y = 0y = 0, so the y terms go away and are eliminated. The terms on the right hand side subtract to 31-25 = 6.
After all that subtraction, we end up with the equation 3x = 6 which solves to x = 2 after dividing both sides by 3.
Use x = 2 to find the value of y
5x+3y = 31
5(2)+3y = 31
10+3y = 31
3y = 31-10
3y = 21
y = 21/3
y = 7
or
2x+3y = 25
2(2)+3y = 25
4+3y = 25
3y = 25-4
3y = 21
y = 21/3
y = 7
Using either equation has x = 2 lead to y = 7.
Therefore, the solution is (x,y) = (2,7)
If you were to graph the two original equations, then they would intersect at (2,7).
Explanation: hope it help
Simplify: m(2+n-m)+3(3n+m^2-1)
Answers
Step-by-step explanation:
m(2+n-m)+3(3n+m^2-1)
= 2m + mn - m^2 + 9n + 3m^2 - 1
= 2m^2 + 2m + 9n + mn - 1
Answer:
mn+2m^2+9n+2m-3
Step-by-step explanation:
Please help
Factorise completely 36ab - 18b+6a-3
Answers
Answer:
[tex]3(6b-1)(2a-1)[/tex]
Step-by-step explanation:
[tex]36ab-18b+6a-3\\18b(2a-1)+3(2a-1)[/tex]
Taking (2a-1) as common
[tex](18b+3)(2a-1)[/tex]
=> [tex]3(6b-1)(2a-1)[/tex]
Answer:
[tex]3(6b+1)(2a-1)[/tex]
Step-by-step explanation:
[tex]36ab - 18b+6a-3[/tex]
Factor the two groups.
[tex]18b(2a-1)+3(2a-1)[/tex]
Take 2a - 1 common.
[tex](18b+3)(2a-1)[/tex]
Factor 18b + 3.
[tex]3(6b+1)(2a-1)[/tex]
Trivikram jogs from one end of corniche to its other end on a straight 300 m road in 2 minutes 50 seconds and then turns around and jogs 100 m back on same track in another 1 minute. What is his average speed and velocity?
Answers
Answer:
1.76m/s ; 1.76m/s ; 1.74m/s, 0.86m/s
Step-by-step explanation:
Given the following :
Distance jogged in first direction (A to B) = 300m
Time taken = 2 minutes 50s = (2*60) + 50 = 120 + 50 = 170s
Distance jogged in opposite direction (B to C) = 100m
Time taken = 1minute = 60s
Recall:
Speed = distance / time
Therefore Average speed from A to B
Average speed = 300m/ 170s = 1.764 = 1.76m/s
Average Velocity = Displacement / time
Displacement = 300m ; time = 170s
= 300m / 170s = 1.76m/s
Average speed (A to C)
Therefore, average speed = total distance / total time taken
Total distance = (300 + 100)m = 400m
Total time taken = (170 + 60)s = 230s
Average speed = 400m / 230s
= 1.739m/s = 1.74m/s
Average velocity:
Displacement = distance between initials position and final position.
Initial distance covered = 300m. Then 100m was jogged in the opposite direction.
Distance between starting and ending positions, becomes : (300 - 100)m = 200m
200 / 230 = 0.87m/s
The probability that two independent events both occur is the sum of the probabilities of each independent event. 4. When choosing a card randomly from a deck of cards, choosing a 5 or a spade are not
Answers
Answer:
(i) False
(ii) Selecting a 5 or a spade are not independent.
Step-by-step explanation:
(i)
Independent events are those events that occur at the same time, i.e. the occurrence of one event does not effects the occurrence of the other.
If A and B are independent events then: [tex]P(A\cap B)=P(A)\times P(B)[/tex]
Whereas as if two events are mutually exclusive, then the probability of them both taking place at the same time is 0.
Then for events A and B: [tex]P(A\cap B)=0[/tex]
Thus, the statement is False.
(ii)
In a standard deck of 52 cards there are:
Spades = 13
Diamond = 13
Heart = 13
Clubs = 13
And each of these 13 cards are:
K, Q, J, 10, 9, 8, 7, 6, 5, 4, 3, 2, A
If a card labelled as 5 is selected then it could also be a Spade.
And if a spade is selected then the card could be labelled as 5.
So, selecting a 5 or a spade are not independent.
HELP PLS
A wine store conducted a study. It showed that a customer does not tend to buy more or fewer bottles when more samples are offered. What can we conclude?
>There is no correlation between number of bottles bought and number of samples offered.
>There is a correlation between number of bottles bought and number of samples offered. However, there is no causation. This is because there is probably an increase in the number of bottles bought with an increase in the number of samples offered.
>There is a correlation between number of bottles bought and number of samples offered. There may or may not be causation. Further studies would have to be done to determine this.
Answers
Triangle RST was dilated with the origin as the center of dilation to create triangle R'S'T'. The triangle was dilated using a scale factor of 34. The coordinates of the vertices of triangle RST are given. You can use the scale factor to find the coordinates of the dilated image. Enter the coordinates of the vertices of triangle R'S'T' below. (Decimal values may be used.)
Answers
Answer:
Multiply every coordinate from the old one by 0.75
Step-by-step explanation:
I just did this question so I didn't need your photo. And I got it right. Hope this helps anyone else stuck on a similar question.
The rule is to multiply the old coordinates/sides by the scale factor, if its a fraction convert it to a decimal and then multiply like I did.
Answer:
x, y ----> 3/4x, 3/4y
Step-by-step explanation:
PLEASE HURRY I NEED HELP BAD
An equation is shown below:
5(2x – 3) = 5
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
Answers
Answer:
One solution
2
Step-by-step explanation:
5(2x-3)=5
10x-15=5
10x=5+15
10x=20
x=2
Part A: 1
Part B: It has only one solution and it is 2.
Hope this helps ;) ❤❤❤
Answer:
I believe 1 solution
Step-by-step explanation:
divide both side of equation by 5= 2x-3)=1
add 3 to each side= 2x=1+3
2x=4
x=2
(05.05)On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(5, 2). What is the length of Side RT of the polygon? 4 unit 6 units 7 units 11 units
Answers
Answer: 11 units
Step-by-step explanation:
Given: On a coordinate plane, the coordinates of vertices R and T for a polygon are R(−6, 2) and T(5, 2).
To find : length of Side RT of the polygon.
Using distance formula to find distance between (a,b) and (c,d):
[tex]d=\sqrt{(d-b)^2+(c-a)^2}[/tex]
Length of RT = [tex]\sqrt{(2-2)^2+(5-(-6))^2}[/tex]
[tex]\\\\=\sqrt{0+(5+6)^2}\\\\= \sqrt{11^2}\\\\=11[/tex]
hence, the length of RT = 11 units.
Answer:
the answer is 11 units
Step-by-step explanation:
In two or more complete sentences, describe how to find the interval(s) where the function is increasing and how interval notation is used to express the interval(s). In your final answer, include the interval in which the function is increasing
Answers
Answer:
(-5,0)
Step-by-step explanation:
In case when you tracking the finger across the line, at which there is an increase or decrease in y axis so this is we called intervals. Moreover, the interval notation is also necessary as it depicts the beginning and ending points. In this, the first number denotes the minimum number while the second number denotes the maximum number
For Decreasing:
(-8,-5)
(4,8)
For Increasing:
(-5,0)
A unicorn daycare center requires there to be 2 supervisors for every 18 baby unicorns. Write an equation that shows the relationship between n, the number of supervisors, and u, the number of baby unicorns.
Answers
Answer:
18x-2
Step-by-step explanation:
Answer:
u=9n
Step-by-step explanation:
The sum of two numbers, one is as large as the other is 24. Find two numbers
Answers
Answer:
4 and 20
Step-by-step explanation:
The sum of two numbers is 24.
One of the numbers is 5 times larger than the other.
Let x be the first number.
Let y be the second number.
x + y = 24
x = 5y
Put x as 5y in the first equation.
5y + y = 24
6y = 24
y = 4
Put y as 4 in the second equation.
x = 5(4)
x = 20