GEOMETRY PROOFS!
Given: AB ≅ DB; AC ≅ DC
Prove: ABC ≅ DBC
refer to attachments
WILL GIVE BRAINLIEST! PLS HELP!
Answers
Given that
In ∆ ABD , AB = BD------(1)
=> Angle B = Angle D
Since the angles opposite to equal sides are equal.
=> Angle A = Angle D
and
BC bisects Angle B
=> Angle BCA = Angle CDB ----(2)
And
BC = BC (Reflexive Property) -----(3)
From Eqⁿ(1),(2)&(3) we have
BA = BD
< ABC = BCD
BC = BC ( Common Side)
Therefore, ∆ ABC =~ ∆ DBC
by SAS property
Hence, proved.
Additional comment:
The angles opposite to equal sides are equal.In two triangles , the two sides and the included angle of the first triangle are equal to the corresponding two sides and the included angle in the second triangle then they are congruent and this property is called Side-Angle-Side (SAS) Property.CPCT - Corresponding parts in the Congruent triangles are equal.Angle bisector divides the angle into two equal parts.The sum of two adajacent angles is 180° they are called Linear Pair.also read similar questions:Given: AD perpendicullar DB, DB perpendicullar BC, AB = CD Prove: AB||DC..
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given: AB ≈ DC ; AC ≈ DB PROVE: ABC ≈ DCB THE DIAGRAM SHOWS A 2 COLUM PROOF. ORDER THE REASONS SHOWN IN THE LIST TO MATCH THE STATEMENTS ......
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Related Questions
Solve for b. b+2/3=1 1/4 Enter your answer as a fraction in simplest form in the box.
Answers
Answer:
75/4
Step-by-step explanation:
b+2/3=11/4
3b+2/3=11/4
3b+2=11×3/4
3b=33-2/4
3b=33-8/4
3b=25/4
b=25×3/4
b=75/4
The solution of the linear equation b + 2/3 = 1 ¹/₄ will be 7 / 12.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The equation is given below.
b + 2/3 = 1 ¹/₄
Convert the mixed fraction into a fraction number, then we have
b + 2/3 = 5/4
Simplify the equation, then we have
b = 5/4 - 2/3
b = 7/12
The solution of the equation b + 2/3 = 1 ¹/₄ will be 7 / 12.
More about the solution of the equation link is given below.
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NEED ANSWER ASAP PLEASE
Use the graph to answer the questions.
What is the price at which the supply and demand equalize (there will be no extra or shortage of product?)
a. $2
b. $8
c. $4
d. $6
What is the quantity at which the supply and demand of this product will equalize?
1. 400 units
2. 300 units
3. 600 units
4. 200 units
Answers
2. 300
adding more cuz character limit
The distance from the Earth to the moon is approximately 238,900 miles. What is the value of 8 in this number?
Answers
8000 hope it helps :) :)
Answer:
8000
Step-by-step explanation:
someone pls help me with this test i was in quorintine and missed a lot and the teacher is still making me take it.
i can only put 5 questions here out of 12
Answers
A bag contains three red marbles, three blue marbles, and three yellow marbles. You randomly pick three marbles without replacement. The first marble is red, the second marble is blue, and the third marble is red.
Answers
Answer:
first one is yellow
Step-by-step explanation:
Is x+y=10 linear or non
Answers
Answer:
Not
Step-by-step explanation:
In this case, the degree of variable y is 1 , the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.
At time t = 0, water begins to drip out of a pipe into an empty bucket. After 77 minutes, there are 11 inches of water in the bucket. Write a linear function rule to model how many inches of water w are in the bucket after any number of minutes t.
The linear function rule is W =
Answers
Answer:
w = 1/7t
Step-by-step explanation:
Assuming the rate is constant, the function will be ...
w = kt
We can find k using the given values:
11 = k·77
k = 11/77 = 1/7
The linear function rule is w = 1/7·t.
5p + 3 = 15
please convert this into a WORD PROBLEM
Answers
Answer:
What is the value of p if 5p+3=15
Answer:
When the product of 5 number and a number is added to 3 result is 15. Find the number.
Last year, 120 students were sick at school. This year, 20% fewer students are sick. How many students are sick this year?
Answers
Answer:
100
Step-by-step explanation:
it takes minutes to do 7 math problems how long does it take to do 20 math problems
Answers
Answer:
can you please explain that a little more
Rudolph will spend $150 on tickets to the Reindeer Games. Reserved seat tickets cost $25 and general admission
tickets cost $10. Write an equation that describes the number of tickets Rudolph can buy_How many tickets can
Rudolph buy if he buys only reserved seat tickets? Only general admission tickets?
Answers
The equation that describes the number of tickets Rudolph can buy will be 25r + 10g = 150.
Let the reserved tickets be represented by r.Let the general admission be represented by g.Therefore, the equation will be 25r + 10g = 150.
The number of tickets that Rudolph can buy if he buys only reserved seat tickets will be:
= $150 / $25 = 6
The number of tickets that Rudolph can buy if he buys only general admission tickets will be:
= $150 / $10 = 15
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Can someone help me with this I’m confused?
Answers
the answer is 2/6, but you can reduce it by 1/2 which is 1/3
I put the question in a doc cuz its a screenshot, please help
Answers
Answer:
53 po ang tamang sagot po
Convert 32 feet per second to kilometers per hour. (Hint: There are 5280 feet in a mile, and one mile is 1.61 kilometers)
Answers
Answer: 35.113
Hope this helps!
Kate, Alexia, and Trina just completed the 400-meter dash at the track meet. Kate finished the race 6 seconds faster than Alexia, while Trina finished the race 3 seconds faster than Kate. If their combined time was 2 minutes and 39 seconds, find each girl’s individual time.
Answers
Answer:
Kate = 52 seconds, Alexia = 58 seconds, Trina = 49 seconds
Step-by-step explanation:
A = K + 6
T = K - 3
K + A + T = 2 min 39 sec or 159 sec
K + (K + 6) + (K - 3) = 159sec
3K + 3 = 159sec
3K = 156sec
K = 52 sec
A = 52 + 6 = 58 sec
T = 52 - 3 = 49 sec
(Will give BRAINLIST to best answer)
Angle QRS is a straight line. The measure of angle 2 is 60 degrees more than the measure of angle 1
Answers
Answer:
Angle 2 = 120 degrees, Angle 1 = 60 degrees
Step-by-step explanation:
Since a straight angle is 180 degrees, you have to add up the 2 angles to 180.
x+x+60=180
2x+60=180
2x=120
x=60
Angle 1 = 60
Angle 2 = 60+60=120
PLEASE HELP THIS IS DUE TOMORROW
Answers
Answer:
Step-by-step explanation:
Mrs. Rashad Is baking 3 ples, She needs 1 /6 cups of strawberries for each ple. How many cups of strawberries does she need in all?
Answers
Answer: 3/6 or 1/2
Step-by-step explanation: 1/6 x 3 = 3/6 or simplified form 1/2.
Answer:
1/2 cups of strawberries is required.
Step-by-step explanation:
1 pie = 1/6 cups of strawberries
=> 3 pies = 1/6 x 3
=> 3 pies = 1/2 cups of strawberries.
Hoped this helped.
A rock has a mass of 126 grams and a density
of 1.8 grams/cm.
Work out the volume of the rock.
Answers
Answer: 70 grams^3
Step-by-step explanation: volume = mass/density volume = 126/1.8 volume = 70 grams^3
The value of the volume of the rock will be;
⇒ Volume = 70 cm³
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The mass of rock = 126 grams
The density of rock = 1.8 grams/cm
Now,
Since, We know that;
⇒ Volume = Mass / Density
Here, The mass of rock = 126 grams
The density of rock = 1.8 grams/cm³
Substitute all the values we get;
⇒ Volume = Mass / Density
⇒ Volume = 126 / 1.8
⇒ Volume = 70 cm³
Thus, The value of the volume of the rock will be;
⇒ Volume = 70 cm³
Learn more about the divide visit:
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what equation is equal to 2x+3y=12
Answers
Answer:
y=-2/3x+4
Step-by-step explanation:
2x+3y=12 --- rewrite so it looks like y=mx+b
3y=-2x+12
y=-2/3x+4
Gabriella bought 8 chicken wings for $4. What was the cost of the wings in wings per dollar?
Answers
Answer:
2 wings/dollar
Step-by-step explanation:
The unit cost is $4 / 8 wings, or $0.50/wing. This is equivalent to 2 wings/dollar.
Solve the equation the square root of the quantity x plus 4 minus 3 equals 1 for the variable. Show each step of your solution process. (10 points) SOLVE FOR X
Answers
x + 4 - 3 = 1
x + 1 = 1
x = 0
Answer:
x = 8
Step-by-step explanation:
√x + 4 - 3 = 1
1) Move constant terms to the opposite side of the equation: √x + 4 = 1 + 3
2) Simplify the right side: √x + 4 = 4
3) Now square both sides to eliminate the square root: (√x + 4)^2 = 4^2 (x + 4) = 16
4) Move the constant term to the other side: x + 4 = 16 – 4
5) Simplify the right side: x + 4 = 12
6) Move constant side to the other side: x = 12 – 4
7) Finally, after simplifying the right side again, you get: x = 8
Therefore, the solution to the equation √(x + 4) - 3 = 1 is x = 8.
In the expression 4ab + 5a
- 3c, what is the coefficient of the term 4ab ?
Answers
Answer:
4
Step-by-step explanation:
coefficients are the numbers in a term, and the letter is called constant
Answer:
4
Step-by-step explanation:
The numeric value of the term is called the coefficient of the term.
Two mechanics worked on a car. The first mechanic charged $55 per hour, and the second mechanic charged $60 per hour. The mechanics worked for a combined total of 20 hours, and together they charged a total of $1125. How long did each mechanic work?
Answers
Answer:
15 and 5 hours.
Step-by-step explanation:
Call x the time taken by the first chap, and y the second.
[tex]\left \{ {{x+y = 20 \atop {55x+60y=1125}} \right.[/tex]
Let's divide by 5 and play with the LHS of the first equation a bit:
[tex]11x+ 11y +y = 225\\11(x+y)+y= 225[/tex] we know how much x+y is ( first equation!) let's solve.
[tex]11(20) +y = 225 \rightarrow y=5[/tex] At this point it's easy to check that [tex]x=15[/tex]
the base of a triangle is five less than twice it’s height, if the area of the triangle is 6 cm^2, find the length of the base
Answers
Answer:
Base = 3 cm
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2} bh[/tex]
Let h = height
base = 2 times the height - 5; b = 2h-5
Area = 6 cm²
A = [tex]\frac{1}{2}bh[/tex]
[tex]6 =\frac{1}{2}(2h - 5)(h)[/tex] Multiply 2h(h) -5(h)
[tex]6 (2) = 2(\frac{1}{2})(2h^{2} - 5h[/tex] Multiply both sides by 2 to remove the fraction
12 = 2h²- 5h
2h ² - 5h - 12 = 0 Set the equation = 0 and factor
(2h + 3)(h - 4) = 0
2h + 3 = 0 or h - 4 = 0
2h = -3 h = 4
h = -3/2 or h = 4 Answer can not be negative so h = 4cm
The base is 2(4) - 5; The base = 8 - 5; base = 3 cm
use the long division method to divide 120÷24
Answers
Step-by-step explanation:
120÷24
0 24⟌120
0 24⟌120 0
0 24⟌120 -0 1
00 24⟌120 -0 12
0 24⟌120 -0 12
00 24⟌120 -0 12 - 0 12
00 24⟌120 -0 12 - 0 120
how can you solve this (3/4 - 1/5)
Answers
Answer:
11/20
Step-by-step explanation:
You want to buy a new macbook. Apple will finance the macbook with no money down and no interest if paid in full within 2 years. The minimum monthly payment is $35 per month. If the macbook costs $1,799 and you only make the minimum payment, how much will you have to pay at the end to avoid paying interest?
Answers
Answer:
31482.5
Step-by-step explanation:
multipliy 1,799 by 35= 62965 the divide by 2.
Carey creates the table below to help him determine 75% of 36.
75% of 36
25%
25%
25%
25%
One-fourth
One-fourth
One-fourth
One-fourth
9
9
9
9
He writes the expression (three-fourths) (27). Which change in Carey’s expression will lead him to the correct answer?
Answers
Answer:
27 is the answer
Step-by-step explanation:
36/.75=27
help pls <_> my sister needs it
Answers
Answer:
1. 2025
2. 737
3. 1365
4. 866
5. 923
6. 1662
7. 2013
8. 1562
9. 2400
Step-by-step explanation:
These are the answer
