Answers
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.
Related Questions
Plot the image of Point Q under the translation (x,y) (x-3, y + 4)
Answers
Answer:
(0, 3)
Step-by-step explanation:
Subtract 3 units from the X-coordinate
Add 4 units from the Y-coordinate
could somebody helppp meee pleaseeeeee
Answers
Answer:
(6-4)=2
2*49 . 7
91 . 7
13
14
:
(6-4) = 2
2 x 49 = 98 / 7 = 14
( "/" means divide )
PLEASE HELP MEEEEEEEEEE! NEED HELP FAST!! WILL GIVE BRAINLIEST!!! CORRECT ANSWERS ONLY PLEASEEEEEE!!!!!!
If 2+sqrt3 is a polynomial root, name another root of the polynomial, and explain how you know it must also be a root.
Answers
Answer:
7
Step-by-step explanation:
-3x^2+12x-8 in vertex form using the completing the square method! ASAP PLEASE WILL MARK U WHATEVER YOU WANT! WORK NEEDED
Answers
Answer:
-3x2 + 12x - 8
Step-by-step explanation:
Equation at the end of step 1
((0 - 3x2) + 12x) - 8
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
-3x2 + 12x - 8 = -1 • (3x2 - 12x + 8)
Trying to factor by splitting the middle term
3.2 Factoring 3x2 - 12x + 8
The first term is, 3x2 its coefficient is 3 .
The middle term is, -12x its coefficient is -12 .
The last term, "the constant", is +8
Step-1 : Multiply the coefficient of the first term by the constant 3 • 8 = 24
Step-2 : Find two factors of 24 whose sum equals the coefficient of the middle term, which is -12 .
-24 + -1 = -25
-12 + -2 = -14
-8 + -3 = -11
-6 + -4 = -10
-4 + -6 = -10
-3 + -8 = -11
-2 + -12 = -14
-1 + -24 = -25
1 + 24 = 25
2 + 12 = 14
3 + 8 = 11
4 + 6 = 10
6 + 4 = 10
8 + 3 = 11
12 + 2 = 14
24 + 1 = 25
Answer: y=−3(x−2)^2+4
Step-by-step explanation:
f(x)=-3*x^2+12*x+-8
f(x)=-3*(x^2+-4*x+8/3) ( Factor out )
f(x)=-3*(x^2+-4*x+(-2)^2+-1*(-2)^2+8/3) ( Complete the square )
f(x)=-3*((x+-2)^2+-1*(-2)^2+8/3) ( Use the binomial formula )
f(x)=-3*((x+-2)^2+1*-4/3) ( simplify )
f(x)=-3*(x+-2)^2+4 ( expand )
The line of symmetry of the shape is shown by a dotted line.
Complete the drawing of the shape and
then rotate it by 180° about the origin
Answers
Answer:
hard to go without a graph see explanation
Step-by-step explanation:
from each point, count har far away it is from the dotted mirror line and then count that many in the opposite direction.
for example, the spikey point at the bottom is 3 units below the mirror line so count 3 units above the mirror line and that is where other point will be
GIVING BRAINLIEST. LOTS OF POINTS. Describe a real-life situation that can be modeled by the equation 11x + 5 = 8x + 23
Answers
Answer:
See below.
Step-by-step explanation:
Jane and John are each hiking a trail in the city. Jane is on her bike, and John is jogging.
At noon, Jane is at the 5 mile mark and rides at 11 miles per hour.
Also at noon, John is at the 23 mile mark and jogs at 8 miles per hour.
x is the number of hours after noon.
Will Jane catch John? After how many hours?
What is the equation of this graphed line?
Answers
Answer:
Step-by-step explanation:
(-7 + 3)/(6 + 6) = -4/12 = -1/3
y + 3 = -1/3(x + 6)
y + 3 = -1/3x - 2
y = -1/3x - 5
5.8(20-3x)=
please this is timed i need help!
Answers
Answer:
Step-by-step explanation:
5.8(20−3x)
=(5.8)(20+−3x)
=(5.8)(20)+(5.8)(−3x)
=116−17.4x
=−17.4x+116
Pension = 12% of salary
Health Insurance = .3% of salary
Disability Insurance = 0.4% of salary
If Jacob's total contract with benefits is worth $48,814.20, what is his salary
Answers
Answer:
Salary = $43,313.40
Step-by-step explanation:
Let his salary be x.
Now we're told that;
Pension = 12% of his salary = 0.12x
Health Insurance = 0.3% of salary = 0.003x
Disability Insurance = 0.4% of salary = 0.004x
Since his total contract with benefits is worth $48,814.20
This means that;
x + 0.12x + 0.003x + 0.004x = 48814.2
1.127x = 48814.2
x = 48814.2/1.127
x = $43,313.40
Boadu and Ansah formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively. If at the end of the year. Ansah received Gh€ 5.000.00 more than boadu how much was boadu shared?
Answers
Answer:
Step-by-step explanation:
The share of Boadu is Gh€ 222,222.22 if Boadu and Ansah formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
We have:
Boadu and Ansah formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively.
Let 4x be the share of Boadu and 5x be the share of Ansah
4x + 5x = 5,000,00
9x = 5,000,00
x = 55555.55
The share of Boadu = 4x = 4(55555.55) = 222,222.22
Thus, the share of Boadu is Gh€ 222,222.22 if Boadu and Ansah formed a company and agreed that their annual profit will be shared in the ratio 4:5 respectively.
Learn more about the ratio here:
brainly.com/question/13419413
#SPJ2
Write an equation of the line parallel to given that contains C(6,-2);=-3/2x+6
Please answer this asap
Answers
Answer:
3/-2-2
Step-by-step explanation:
this should be parrallel
Asthma is a condition in which it can be very hard for a person to breathe in enough air. Would it also be difficult for someone with asthma to exercise?
Answers
Answer:
B, no, as long as the persons cells are getting different types of molecules from food he can still exercise.
Step-by-step explanation:
Solve the system of equations below.
y=3x
2x + y = 15
Answers
Answer:
x=3
Step-by-step explanation:
2x+(3x)=15
5x=15
x=3
solving for y:
3(3)=9
y=9
Answer:
(y,x) (9,3)
Step-by-step explanation
Please help!!
What is the solution to 2x^2+x+2=0?
Answers
Answer:
your 3rd option
Step-by-step explanation:
[tex]\frac{-1+/-\sqrt{1-4(2)(2} )}{2(2)}[/tex]
[tex]{\frac{-1+/-\sqrt{1-16} }{4}}[/tex]
[tex]{\frac{-1+/-\sqrt{-15} }{4}}[/tex]
[tex]{\frac{-1+/-i\sqrt{15} }{4}}[/tex]
anyone her watch technoblade
1+1
Answers
Answer:
Yes.
Also, 1 + 1 = 2
Also:
Someday, I will beat him. He is revealing all of his secrets in his U-Toob videos, the fool, the moron.
Answer:
yes technoblade never dies
1+1=2
Write a word phrase for -5 - 4n
Answers
Answer: four times a number subtracted by -5
Step-by-step explanation:
a hexagon has interior angles the measure 127, 85, 121, 135, and 139 find the measure of the remaining angle.
Please help i need ths asap
Answers
Answer:
113º
(pls mark brainliest if possible)
Step-by-step explanation:
Hexagon has sum of interior angles as 720º
127+85+121+135+139+x=720
607+x = 720
x= 113º
geometry please help only if you know
1. Pick 1 or 2 Geometric Constructions to create (depending on point values) that add to 10 points.
2. You'll need paper (blank paper without lines is best, but you can do these on lined paper too), your compass, and straight edge.
3. Include any vocab for your construction.
4. Once you have completed the constructions, take a picture of your completed construction. This is how you will get your points this week!
By the way, this must be an actual construction made with your tools. I can definitely tell if you just try to draw something that looks right without using your tools!
Answers
Answer:
Bro just complete your project. That's just plagiarism.
Step-by-step explanation:
Sorry but the teacher WILL notice.
What is angle A and B??
Answers
Answer:
A=45 b=110
Step-by-step explanation:
I used a calc
Answer:
A=135 b=200
Step-by-step explanation:
135+200+25=360
X+(x+65) +25=360
Subtract 25 from both sides
X+ (x+65)=335
Combine like terms
2x +65=335
Subtract 65 from both sides
2x =270
Divide by 2
X=135
To get b you just do 135+65=200
HELP PLEASEEE...Naming Your Solution When you are asked to name your solution if you have one... that means. When you have ONE solution, what's the ordered pair where your lines cross?
Answers
Answer:
It means that you need to state whether there are any solutions and how many there are. For example if the equation ends up with an answer like 2=5 there is no solution because 2 does not equal 5. if the equation ends up with an answer of 0=0 there is infinitely many solutions because 0 does equal 0. if it comes out as x=9 there is one solution because x only has one answer to (keep in mind these are just examples)
Step-by-step explanation:
The order pair would be where the two lines intersect perpendicularly with each other forming a 90° angle
Find X if m/angle UVY=84 degrees.
Answers
Answer:
x = 42º
Step-by-step explanation:
We know that m < UVY is equal to 84º (Given)
We know that < UVY = < SVW (Vertical Angles Theorem)
By substituting in the known values for the anges, we know that:
< UVY = < SVW
84º = 2x
Simplify the equation by dividing by 2 on both sides.
x = 42º
Hope this helps! Let me know if you have any questions!
Solution given:
<UVY=2x[vertically oppisite anglle]
x=84/2=42° is your answer
Simplify the expression:
m - 1/6 - 4m + 5/6
Answers
Answer:
-3m+2/3. 2/3 is a fraction
Step-by-step explanation:
The lenngths of the sides of the triangle are in the extended ratio 8:9:10. The primeter of the triangle is 108 cm.What are the lengths of the sides?
The lengths of the sides of the triangle in cm are____?
Answers
Answer:
A(8)=32cm
B(9)=36cm
C(10)=40cm
Step-by-step explanation:
let 8:9:10=A:B:C
∑ratios=8+9+10=27
Therefore lengths or triangles:-
Please help middle school math
Answers
Answer:
Greater than 7 cm.
Step-by-step explanation:
Answer:greater than 7 cm
Step-by-step explanation:
Help me asap
The hanger image below represents a balanced equation. Write an equation to represent the image.
Answers
Answer:
1/5 + 2/5 = 3/5
Step-by-step explanation:
your welcome
Answer:
1/5+z=3/5
Step-by-step explanation:
the question is “ for which point is the y coordinate greater than -3? choose all answers that apply
Answers
Answer:
It would be A, C, and D.
Step-by-step explanation:
Buddy and his team have been asked by NASA to make a space shuttle cake (a scale model shaped like the one to the left) for a fundraising event. The original space shuttle has a height of 184 ft and a wingspan of 78 ft. Buddy and his team decide to construct the cake on-site so that they do not have to worry about transporting it. Buddy decides to make a cake with a wingspan of 10 ft and asks one of his decorators, Ivette, to calculate the height of the cake. Ivette decides that the cake should be approximately 4 ft tall.
Answers
Answer:
Ivette is wrong and by a lot. The spaceship should be 23.59 feet high
Step-by-step explanation:
The relationship between the spaceship's height and width = 184 feet : 78 feet ≈ 92 : 39 ≈ 9.2 : 3.9. This means that for every 3.9 feet wide, the cake should be 9.2 feet high.
In this case, the spaceship is 10 feet wide, so it should be (10 / 3.9) x 9.2 = 23.59 feet high.
When you make scale drawings or scale cakes, you must keep the same proportions as the original model.
four time a number is no more than one hundred and eight
Answers
Answer:
</ is what I use for equal to or less than
4x </ 108 for the inequality
x </ 27
Step-by-step explanation:
Is that what you needed?
Equation:
4x=108
'x' being the number mentioned
Solved Equation: (isolate x)
4x/4=108/4
x=27
Plzz mark me brainliest, hope this helped.
round 0.000007328. to the neartest millionth
Answers
Answer:
0.000007
Step-by-step explanation:
Hope this helpss!!
Answer:
0.000007
Step-by-step explanation:
The millionth place is 6 spots to the right of the decimal.
Our number is 0.000007328
6 spots to the right is 0.000007 (328)
3 is less than 5, so we do not round up.
The answer is 0.000007
I hope this helped, please mark Brainliest, thank you !!
What is m∠A?
m∠A =
A. 66
B. 57
C. 113
Answers
Answer:
m∠A =
A. 66°
Step-by-step explanation:
∠C = ∠B
57 + 57 = 114
∠A = 180 - 114 = 66