Answers
The angles ∠1 ≅ ∠4 since the line BD bisects ∠ABC, AD║ BC, and AB ║ CD. This is obtained by using the angle bisector theorem, alternate interior angles, and the transitive property of congruence.
What is the transitive property of congruence?Transitive property:
If ∠a and ∠b are congruent and ∠b and ∠c are congruent, then ∠a and ∠c are also congruent.
I.e., If ∠a ≅ ∠b and ∠b ≅ ∠c, then ∠a ≅ ∠c.
What does the angle bisector theorem state?The angles bisector theorem states that the ray or line which bisects the angle divides the angle into two equal parts.
I.e., If line BD bisects the angle ∠ABC, then ∠B = ∠B1 + ∠B2
(where ∠B1 = ∠B2)
Given:The line BD bisects ∠ABC, AD║BC, and AB║CD
Proof:The line BD bisects ∠ABC. So,
∠B = ∠3 + ∠4
According to the angle bisector theorem, ∠3 ≅ ∠4.
Since AD║BC and AB║CD, the alternate angle are congruent.
I.e., ∠3 ≅ ∠1
Thus, by the transitive property of congruence,
∠1 ≅ ∠4
Hence proved.
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Related Questions
help me with this question for my homework pls
Answers
Answer:
4 1/12 is your answer
Find a common denominator, 12. Multiply the many times you did to the denominator to get 12 to the numerator so 3/4 would be 9/12 and 2/3 would be 8/12 so 9/12 - 8/12 is 1/12 and as you know already 10 - 6 = 4 so 4 1/12 would be your answer.
4w − 18 = 18 solve for w
Answers
Answer:
hello! :) have a good day!
W = 9
What pair of angles is congruent?
Answers
Answer:
angle f angle g and angle h are congruent as they are 90 degree
-4x < 28
does anyone know the solution and answer?
Answers
Answer:
x>−7
Explanation:
Let's solve your inequality step-by-step.
−4x<28
Step 1: Divide both sides by -4.
−4x/−4 < 28/−4
x>−7
Answer: x>−7
HELP ASAP!!! make sure to submit a pic of the graph!
Answers
Answer:
Good luck with math
PLEASE HELP ASAP ILL GIVE BRAINLY
Answers
Step-by-step explanation:
x= (70+83+90)/3= 81
85=(89+75+y)/3
255=89+75+y
y=91
92=(86+a+a)/3
276=86+2a
2a=190
a=95
93=(b+b+b)/3
279=3b
b=93
What is the value of the expression 1/2 divided by 6
Answers
Answer: the answer is to divide and you will come up with the answer 1/12
Step-by-step explanation:
Answer:
here is 1/2 divided displayed mathematically
1/2 ÷ 6
1= numerator
2= denominator
3= whole number
to make it fraction from the answer you keep the
numerator by the whole number to make a new
denomiter
___1___ = _1_
2×6 12
thus the answer to 1/2 divided by 6 on fraction form is
1/2 is the answer
Solve for x.2(-x - 4) = 4x + 16
a) 4
b) 3
c) -3
d) -4
Answers
Answer:
44
Step-by-step explanation:
Answer:
X=-4Step-by-step explanation:
First, we must solve for the parenthesis so...
-2x-8=4x+16
Then we must simplify this even more so lets add the 8 to 16
-2x=4x+24
Then we must subtract 4x from -2x
-6x=24
we must now divide 24 by -6 so we can isolate the x
x=-4
I hope this helped :)
Help Me ASAP!
Assume the following in the picture: carbon = black oxygen = red hydrogen = blue Which formula represents the given molecule?
Answers
Answer:
Answer is a
Step-by-step explanation:
You count carbon is c so count the black circles there are 5 and do the same with the rest
Answer:
Step-by-step explanation:
a
help plz
−86 + (−14) − 23 − (+22) + 16 − (−34)=
Answers
Step-by-step explanation:
the answer is -86 mark as brainliest or rate this if u found this helpful :)
Answer:
-105
Step-by-step explanation:
-86-14= -100
-100-55= -155
16+34= 50
-155+50= -105
Just give me the answer
Answers
Answer:
y^6 is the simplest form
Answer:
y=6
Step-by-step explanation:
THATS KHANACADEMY RIGHT LOLLL
you buy some bags of tomatoes for $6.75. If each bag costs $2.25, how many bags do you buy?
Answers
Answer:
you would of bought three bags of tomatoes
A plant is already 45 centimeters tall, and it will grow one centimeter every month.Let h be the plant's height (in centimeters) after m months.Write an equation relating h to m . Then use this equation to find the plant's height after 14 months.
Answers
Plz help me !!!!!!!!!!
Answers
C i think????????????????????? :D
A hexagonal prism has.............vertices.
Answers
Step-by-step explanation:
A hexagonal prism has 12 vertices.
Hope this answer will help you.
Have a great time
The residents of a village want to paint a sign that shows the elevation of their village to the sea. Their altimeter shows +2,100 feet. What should their signboard read?
Answers
Answer:
Wassss uppppp
Step-by-step explanation:
i dont know
Priya's family exchanged 250 dollars for 4,250 pesos. Priya bought a sweater for 510 pesos. How many dollars did the sweater cost? Pesos dollars 4,250 250 25 1 3 510
Answers
Answer:
$30
Step-by-step explanation:
since they exchanged them we can assume they are worth the same
250=4250
First find how many pesos is worth 1 dollar
4250/250= 17
Then divide the amount the sweater costs by how much 1 dollar would be
510/17= 30
The sweater would cost 30 dollars.
Pensé dos números. Sumados dan 38 y restados dan 2. ¿Qué números son?
Answers
Answer:
sorry I cannot help you sir can you translate it into English
Can somone help please? Thx
Answers
Answer:
I would say the answer is 0.69
Step-by-step explanation:Because if you multiply 7 times 0.69 it gives you 4.83
Answer:
The answer is 1.45
Step-by-step explanation:
Divide 7 and 4.83 and the answer is 1.447.
Which expression has a value of 15 when n= 7?
43-5
O 31-5
O on-28
28
019-
n
Answers
Answer:
19- 28 over N
Step-by-step explanation:
Find the mean of 8, 6, 2, 4 graphically.
Answers
Answer:
5
Step-by-step explanation:
3c + 1 = c + 1
What does c equal
Answers
Answer: c=0
Step-by-step explanation:
first come first served
Answers
Answer:
10. 32 mpg
12. 5 1/3 grams = 1 serving
14. 0.8 cent per can
16. 1/2 kg = 1 foot
18. 8 7/10 meters in 1 hour
Step-by-step explanation:
10. 256/8=32
12. if 4=3/4 then ?=4/4. to find 1/4 divide both by 3, 3/4 divided by 3 = 1/4, 4 divided by 3=1 1/3. then to find 4/4 multiply both by 4, 1/4x4=4/4, 1 1/3x4=5 1/3 so 5 1/3=1
14. 4.8/0.6=0.8
16. if 1/3=2/3 then ?=3/3. to find 1/3 divide both by 2, 2/3 divided by 2=1/3, 1/3 divided by 2 = 1/6. then to find 3/3 multiply both by 3, 1/3x3=3/3, 1/6x3=1/2
18. if 21 3/4=2 1/2 then ?=2/2. to find 1/2 divide both by 5, 2 1/2 divided by 5=1/2, 21 3/4 divided by 5 = 4 7/20. then to find 2/2 multiply both by 2, 1/2x2=2/2, 4 7/20x2=8 7/10
Which sand-castle spire has a greater volume? How much more sand do you need to make the spire with the greater volume?
Answers
Answer: spire b has the greatest volume with a volume of 64. spire a has a volume of 60. you'll need 4 in^3 more sand.
Step-by-step explanation:
since we know the volume of spire a is 60 while spire b’s volume is 64, from there, all you do is subtract 64 from 60. that gives us 4. meaning you need 4 in^3 more sand.
Jennifer has 4 pizzas that she cuts into eights. How many 1/8 size pieces does she have? please help mark you branlyest!!
Answers
Answer:
32
Step-by-step explanation:
4/1 / 1/8=32 :)
There’s 8 1/8 size pieces for 1 pizza so if you multiply 8 by 4 you’d get 32
What are the x-intercepts of the graph of y = (5x + 7) (2x - 1)(x – 4)?
Answers
Answer:
12x × 1x × 3x = 36x
)))))))))))))))))))
All the x - intercepts of the graph of y = (5x + 7) (2x - 1) (x - 4) will be;
⇒ - 7/5 , 1/2 , 4
What is mathematical expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The graph of the function,
⇒ y = (5x + 7) (2x - 1) (x - 4)
Now,
Find x - intercept of the equation as;
Substitute y = 0, we get;
⇒ y = (5x + 7) (2x - 1) (x - 4)
⇒ (5x + 7) (2x - 1) (x - 4) = 0
This gives three conditions as;
⇒ 5x + 7 = 0
And, 2x - 1 = 0
And, x - 4 = 0
After solve we get;
⇒ 5x + 7 = 0
⇒ x = -7/5
And, 2x - 1 = 0
⇒ x = 1/2
And, x - 4 = 0
⇒ x = 4
Hence, All the x - intercept = -7/5 , 1/2 , 4.
Therefore, All the x - intercepts of the graph of y = (5x + 7) (2x - 1) (x - 4) will be;
⇒ - 7/5 , 1/2 , 4
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Seis albañiles hicieron una barda de 180 m2 durante 12 días. ¿Cuántos días necesitaran 5 albañiles para levantar una barda de 100 m2 ?
Answers
Answer:
8 dias
Step-by-step explanation:
Primero tenemos que averiguar cuantos m2 pueden levantar los seis albañiles en 1 dia. Esto lo calculamos dividiendo los 180m2 por los 12 dias que les llevo hacerlo.
180 / 12 = 15 m2 por dia
Ahora tenemos que dividir este numero por los 6 albañiles para calcular cuantos m2 hace 1 albañil por dia
15 / 6 = 2.5
Ahora tenemos que multiplicar este m2 por los 5 albañiles que pide la pregunta
5 * 2.5 = 12.5 m2 por dia
Finalmente, necesitamos dividir los 100 m2 por los 12.5 m2 que pueden hacer los 5 albañiles por dia.
100 / 12.5 = 8 dias
Given that the perimeter of the equilateral triangle below is 63 , solve for x
Answers
Let x be the length of a equilateral triangle.
x + x + x = 63
3x = 63
x = 63/3
x = 21
Hope it helps! Make me brainliest if it’s correct!
P varies inversely with x. If P = 12 when x = 4, find the value of P when x = −48.
Answers
Answer:
P = - 1
Step-by-step explanation:
Given P varies inversely with x the the equation relating them is
P = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition P = 12 when x = 4
12 = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )
48 = k
P = [tex]\frac{48}{x}[/tex] ← equation of variation
When x = - 48, then
P = [tex]\frac{48}{-48}[/tex] = - 1
The solution of –2x + 13 < 9 is ______
Answers
Answer:
-2x + 13 < 9
or, -2x < 9-13
or, -2x < -4
or, x > -4/-2
or, x > 2
Hope you got your answer.
Answer:
x>2
Step-by-step explanation:
-2x<9-13
-2x<-4
x>2
x>2