E is the midpoint of DA, and F is the midpoint of DB. This means EF is a midsegment of the triangle. It is half as long as AB, and EF is also parallel to AB.
When we extend EF to form segment EC, it is now twice as long compared to EF. So that shows EC is the same length as AB, in other words, EC = AB. Also, EC is parallel to AB. This works due to points E, F, and C being on the same line.
Since EC || AB, we know that angle EBA = angle BEC. These are alternate interior angles.
From the reflective property, we can say EB = EB
---------------
Using these three facts
EC = ABangle EBA = angle BECEB = EBto prove that triangle EBA is congruent to triangle BEC. The next step is to use CPCTC (corresponding parts of congruent triangles are congruent) to lead to
angle BEA = angle EBC
we can use the alternate interior angle theorem converse to conclude that EA is parallel to BC.
-----------------
In summary, we have proven:
EC is parallel to ABEA is parallel to BCBy the definition of what it means to be a parallelogram, we have proven quadrilateral EABC is a parallelogram. In short, we've shown that the opposite sides are parallel.
Cuántas negras entran en un compás de 2/4.
Answer:
Compás binario de subdivisión binaria: 2/4
Compás de dos cuartos o compás de dos por cuatro. El numerador 2 indica que el compás se divide en dos partes y el denominador 4 indica por convención que en cada una de esas partes hay una negra. Por lo tanto en todo el compás entran dos negras.
Step-by-step explanation:
Espero que esto te ayude
Can someone help me with this
Answer:
Step-by-step explanation:
It pretty simple, you need to read the sentence and match the number.
Ex:
Seven more than one half = 7 more than 1/2
= 7+ 1/2
Because ‘more’ shows that you’re adding
While difference shows you’re subtracting
Quotient shows you’re dividing
And product shows you’re multiplying
And when it refers to ‘a number’ it means your variable which in this case is ‘n’.
PLEASE SOMEONE HELP ME. I WILL BRAINLIEST YOU AND GIVE YOU POINTS.
Answer:
option D is the answer
Step-by-step explanation:
3n + 5
_______
n² + 5
which of the following is the graph of y=lx-3l
x is less than 1/4 of two dozen
x is not a factor of 10
x is an odd number
x =?
Answer: 7
Step-by-step explanation:
what is the inverse of the function f(x)=2x^2-3
25 POINTS!! PLS HELP
Answer:
5/13
Step-by-step explanation:
You are meant to find cos which is CAH
That means there is an adjacent and hypotenuse
So it will be 5/13
I NEED HELP ASAP I WILL MARK YOU AS BRAINLYLIST
Answer:
Step 2 Hope this helps
Step-by-step explanation:
Answer:
step:2
Step-by-step explanation:
12x-6=14+2x it must be there.
PLEASE HELP ASAP:(.....
Answer:
5
Step-by-step explanation:
23 - 10 = 13
13 - 8 = 5
Answer:
5
Step-by-step explanation:
p = a + b + c
23 = 8 + 10 + c
23 = 18 + c
5 = c
The information is in the picture PLEASE HELP ME
Answer:
The answer is A
Step-by-step explanation:
2t(t-4)
(2t x t)(2t x -4)
2t^2 - 8t
Helppppp will give the crown
What is the kinetic energy of a toy truck with a mass of 0.75kg and a velocity of 4 m/s (Formula: KE= 1/2mv2)
Answer:6
Step-by-step explanation:
which of these tables represents a non-linear function?
Answer:
C.
Step-by-step explanation:
If you look at the Y values you can see that it should be (18,17) then (19,18).
Answer:
C
Step-by-step explanation:
I got it right on my test
100% sure
- 5/6 x 1/8 as decimal
Answer:
.125
Step-by-step explanation:
Answer:
Im guessing the X is supposed to be multiplication.
-0.10416
Exact Form = -5/48
Step-by-step explanation:
A computer technician charges a fee of $75 for consultation plus $35 per hour. How much would your bill be if the technician worked for 4.5 hours.
A.$90.75
B.$215.00
C.$372.50
D.$232.50
Every month, Ms. Thomas makes the same payment on her car loan. Each month she pays $125 for her car. How much money has she paid over 3 months?
Answer:
375 dollars.
Step-by-step explanation:
1 month's payment = $125
3 month's payment = 3*$125 = $375
Answer:
$375
Step-by-step explanation:
she paid 3 TIMES (125)
3x125= 375
hope this helps
9. Lillie's grandmother is making dinner
rolls for a family reunion. She makes 3
rolls for each person attending the dinner.
If she expects 24 people to attend the
reunion, which proportion can be used to
solve for r, the number of rolls?
whats 1100 x 100,00 pls help
Answer:
110000
Step-by-step explanation:
Which angle has a measure equal to the sum of m∠SQR and m∠QRS?
∠RSC
∠SRE
∠DQS
∠QSR
Answer:
QSR
Step-by-step explanation:
Same letters so its the answer
Cheri has a box of cookies to share with her friends. If she gives each friend 6 cookies, she will have 1 cookie left over. If she gives each friend 4 cookies, she will have 29 cookies left over. How many friends does Cheri have?
30 because you ads the total remaining/
The solution shown for the equation is incorrect. What is the correct solution? What is the error?
-5 (4 - r) = 15
-20 - 5r =15
-5r = 35
r = -7
Find the y please use the screen shot
Answer:
y = 0.3
Step-by-step explanation:
Solve for y:
[tex] \longrightarrow [/tex] (3.2y - 1.8) - (5.2 y + 3.4) = -5.8
-(5.2y + 3.4) = -5.2y - 3.4:
[tex] \longrightarrow [/tex]3.2y - 1.8 -5.2y - 3.4 = -5.8
Grouping like terms, 3.2y - 1.8 - 5.2y - 3.4 = (3.2y - 5.2y) + (-1.8 - 3.4):
[tex] \longrightarrow [/tex] (3.2y - 5.2y) + (-1.8 - 3.4) = -5.8
3.2y - 5.2y = -2 y:
[tex] \longrightarrow [/tex] -2y + (-1.8 - 3.4) = -5.8
-1.8 - 3.4 = -5.2:
[tex] \longrightarrow [/tex] -5.2 - 2y = -5.8
Add 5.2` to both sides:
[tex] \longrightarrow [/tex] (5.2 - 5.2) - 2y = 5.2 - 5.8
5.2 - 5.2 = 0:
[tex] \longrightarrow [/tex] -2y = 5.2 - 5.8
5.2 - 5.8 = -0.6:
[tex] \longrightarrow [/tex] -2y = -0.6
Divide both sides of -2y = -0.6 by -2:
[tex] \longrightarrow [/tex] [tex] \sf \dfrac{-2}{-2}y = \dfrac{-0.6}{-2} [/tex]
[tex] \sf \dfrac{-2}{-2} = 1: [/tex]
[tex] \longrightarrow [/tex] [tex] \sf y = \dfrac{-0.6}{-2} [/tex]
[tex] \sf \dfrac{-0.6}{-2} = 0.3: [/tex]
[tex] \longrightarrow [/tex] y = 0.3
For khan academy . Need answer immediately
It's easy just use y=mx+b form ok?
The perimeter of a rectangle is 24 in. Find its dementions if its length is 3 in grater than its with.
Answer:
7.5+7.5=15
4.5+4.5=9
Can someone help me with the questions in the picture?
Answer:
[tex] y = 8 [/tex]
Step-by-step explanation:
Equation of the line that passes through (-2, 8) with a slope of 0, can be written in point-slope form, [tex] y - y_1 = m(x - x_1) [/tex] and also in slope-intercept form, [tex] y = mx + b [/tex].
Using a point, (-2, 8) and the slope (m), 0, substitute x1 = -2, y1 = 8 and m = 0 in [tex] y - y_1 = m(x - x_1) [/tex].
Thus:
[tex] y - 8 = 0(x - (-2)) [/tex]
[tex] y - 8 = 0 [/tex]
Rewrite in slope-intercept form
[tex] y - 8 + 8 = 0 + 8 [/tex] (addition property of equality)
[tex] y = 8 [/tex]
5.5 cm
What is the circumference of this circle?
cm
Answer:
23.76
Step-by-step explanation:
Select an expression that is equivalent to 3(n − 3) + 4. (1 point)
a
3n + 1
b
3n − 5
c
3n + 13
d
3n − 3
Answer:
C. 3n+13
Step-by-step explanation:
When you simplyfy 3(n-3)+4 you get 3n-9 +4, Then you add 4 to 9 since addition comes before subtraction and you would get the answer 3n+13.
10 teachers mark 500 exam papers in 30 hours. How many teachers are needed to mark 600 exam papers in 25 hours
Answer:
Approximately 15 tea hees
Step-by-step explanation:
Given that:
Number of teachers needed to Mark 500 exam papers in 30 hours =
Hence, marking rate of each teachers ;
500 / (30 * 10) = 500 / 300 = 1.667 papers per hour
If teachers mark at this rate, the number of teachers which will be required to mark 600 exam papers in 25 hours ;
Let number of teachers = t
(Rate * number of hours * number of teachers) = number of exam papers to be marked
(1.6667 * 25 * t) = 600
41.666665t = 600
t = 600 / 41.666665
t = 14.40000
Number of teachers needed = about 15 teachers
HELP PLEASE!!! EASY I just haven't done algebra in a while so I forgot lol.
Two water bottles have capacities in the ratio 4 to 3. The larger bottle has 11 more gallons than the smaller one. How much water will the larger and smaller bottle hold?
Answer:
wait.. almost done...
Step-by-step explanation:
Answers:
Larger bottle = 44 gallons
Smaller bottle = 33 gallons
=====================================================
Explanation:
L = capacity of larger bottle
S = capacity of smaller bottle
Capacities are in gallons
We're told the ratio of these capacities is 4 to 3, meaning L/S = 4/3. Note how L goes first on top since 4 is the first number and it's larger than 3.
Cross multiply to get 3L = 4S. We can solve for S to get S = 3L/4.
----------------------------
We're also told that the larger bottle has 11 more gallons than the smaller one, so,
Larger = Smaller + 11
L = S+11
L = (3L/4) + 11 .... plug in S = 3L/4
4L = 4*(3L/4) + 4*11 ... multiply every term by 4
4L = 3L + 44 .... the fraction goes away afterward
4L-3L = 44 .... subtract 3L from both sides
L = 44
The larger bottle can hold 44 gallons
S = 3L/4
S = 3*44/4
S = 3*11
S = 33
The smaller bottle can hold 33 gallons
Note that L-S = 44-33 = 11 to show there's an 11 gallon difference between the larger and smaller bottles. We can also see that L/S = 4/3 is also true because 44/33 = 4/3. This confirms our answers.
answered
If y = 3x and 2x – 4y = 3, then x=
Answer:
x= -3/10Step-by-step explanation:
putting value
2x - 4(3x) =3
2x- 12x = 3
-10x = 3
x = -3/10