ΔABC is an equilateral triangle with AD perpendicular to BC. Prove that ΔADB ≅ ΔADC.
Answers
Step-by-step explanation:
An equilateral triangle means all sides are congruent.
AB≅BC≅AC
All angles are also congruent.
∠ABC≅∠BCA≅∠CAB
AD being perpendicular makes it a bisector of both BC and ∠CAB.
BD≅CD
∠BAD≅∠CAD
Now, there are multiple ways to prove that ΔADB≅ΔADC. All 3 sides and all 3 angles of both triangles are congruent, so you could do it however you want.
1) ASA (one of the possible ASA combinations)
∠ABD ≅ ∠ACD because this is an equilateral triangleBD ≅ CD because AD bisects BC∠BDA ≅ ∠CDA because AD is perpendicular to BC, both 90°2) HL (again, one of the multiple possible HL combinations)
AD is perpendicular to BC, creating 2 right trianglesAB ≅ AC because ΔABC is equilateralAD ≅ DA by the reflexive property, it is congruent to itselfThere are many more but I won't write them all out.
Related Questions
what is the answer ?????
Answers
Difference = 60 - 48 = 12
Percentage = [tex] \frac{12}{60} \times 100 = \frac{12}{3} \times 5 = 4 \times 5 = 20\% \\ [/tex]
A cubed shaped water tank has a volume of 729 m3 , one of the walls on the inside will need to be painted, a gallon of paint will cover an area of 15 square meters, the paint can only be bought by the gallon (you can’t buy part of a gallon), how many gallons of paint will be needed to paint one of the walls?
Answers
Answer: 33 gallons
Step-by-step explanation:
The water tank is a cube, with one dimension of x meters. Its volume will be x^3.
X^3 = 729m^3
x = 9 meters. The cube has 4 side walls and a top and bottom, for a total of 6 interior walls. Each wall has an area of x^2, or 81 m^2.
(6 walls)*(81 ft^2) = 486 m^2
One gallon of paint will cover 15 m^2. The conversion factor is (1 gallon/15 m^2)
(486 m^2)*(1 gallon/15 m^2) = 32.4 gallons, rounded up to 33 gallons
Find the measures of angles x and y in the figure.
Answers
y = 90° (linear pair)
x = 180° - (50° + 90°) [Angle Sum Property]
x = 180° - 140°
x = 40°
=》 x = 40° & y = 90°
______
Hope it helps ⚜
y=90°
x=40°
Step-by-step explanation:
y=90 because its in a linear pairx= 40 because of angle-sum property (180-50-90=40)four hundred twenty five million six hundred one thousand six in standard form
Answers
Answer:
425,601,006
Step-by-step explanation:
What is countercurrent multiplication?.
Answers
Answer:
What is countercurrent multiplication? ... Countercurrent multiplication in the kidneys is the process of using energy to generate an osmotic gradient that enables you to reabsorb water from the tubular fluid and produce concentrated urine.
WILL GIVE LOTS OF POINTS HELP SOLVE SOON, NUMBER 7
Answers
Answer: 4x + 3 = 39
Step-by-step explanation:
Because you don't know how much each pizza costs, you can write it as x.
You multiply x by 4 to get 4x and add 3 because thats how much the chips cost.
That added up should equal 39 because thats how much he spent.
Answer: The answer is C ( 4x + 3 = 39 )
Step-by-step explanation:
4 = number of Pizzas. x = price of pizza. 3 = price of chips. 39 = total of 4 pizzas and chips together.
1) 4x + 3 = 39
2) 4x = 39 - 3
You will seperate the variable(4x) and the constants(3 and 9) So, you move (+3) to the other side making it negative. Then, you subtract (39-3) which will equal to (36)
4) 4x = 36
5) x = 36/4
You want to move the coefficient(4) to the other side. Thus, will make it a division becaue the oppisite of multiplication is division. So you cancel it out from x because 4/4 is 1.
6) x = 9
You divided 36/4 which will equal to 9
7) 4(9) + 3 = 39
first three common factors of 3 and 9?
Answers
Answer:
The GCF of 3 and 9 is 3.
Step-by-step explanation:
9: 1, 3
3 is prime so its only factors are 1 and 3.
So obviously you can find it out
9: 1, 3, 9 are the first three factors for 9.
And 3 has the factors of: 1, 3
And 9 has the factors of: 1, 3, 9
(Im only listing 3)
And our common factors are 1 and 3.
If this is incorrect srry ♀️
Your homework is tripping because 3 cant have more than 3 or more factors since its prime
Round 53,714.54 to the nearest a. thousandth. b. thousand.
Answers
1,245 jellyfish were washed up onto shore over a
2-week period. About how many jellyfish is this,
rounded to the nearest thousand?
Answers
Answer 15 and 16 and get 50 points
No link
Answers
Answer:
(1) x=5 (2) I think the answer to 16 is 3/5 but not 100% sure
Step-by-step explanation:
(1) 29=5x+4
Step 1: Flip the equation.
5x+4=29
Step 2: Subtract 4 from both sides.
5x+4−4=29−4
5x=25
Step 3: Divide both sides by 5.
5x /5 = 25 /5
x=5
Write an expression to represent:
Nine less than the quotient of two and a number z.
Answers
Answer:
2 / z - 9
Step-by-step explanation:
Don't worry division always goes before subtraction so you don't need any parenthesis.
Tell me if I'm wrong :)
Pls help me asap!! Only answer if u know the correct answer! Thanks! :)
Answers
I hope this helps, please tell me of you want a step by step, I can give one. :)
Part C
How does a dilation by a scale factor of 1/2 change the coordinates of a shape?
Answers
Answer:
it cuts it in half
Step-by-step explanation:
and it makes it smaller and therfore it is cut in half hope that helps
Find the 8th term of the G.P 9,3,1,
Answers
Answer:
a=9 , d=6 n=8
a+(n-1)d = an
9+(8-1)6 = an
9+7×6 = an
9+42 = an
51 = an
what is twin prime ?
Answers
Answer:
A twin prime is a prime number that is either 2 less or 2 more than another prime number
Find the perimeter. Simplify your answer.
Answers
Answer:
28w + 12Step-by-step explanation:
Perimeter = 9w + 1 + 8w + 3 + 6w + 8 + 5w
= 28w + 12...ans
Hope it Helps you!!The store owner purchased 26 shirts for $810.68. How much did each shirt cost?
Answers
Answer:
$31.18
Step-by-step explanation:
810.68/26=31.18
Answer:
$31.18 e/a
Step-by-step explanation:
Question 3
This question has two parts. First, answer Part A. Then, answer Part B.
Part A
There are 20 marbles in a bag: 8 purple, 5 gold, and 7 silver.
Part A: What is the probability that you select a silver marble? Reduce fractions if possible.
O
A) 20
O B)
O
c)
O D) 70
Answers
home within our geographic footprint.
Goals: Increase awareness of key homes for sale in our portfolio and generate traffic to the website for more information.
Step-by-step explanation:
the total is 8+5+7=20
the probabliliy that its gonna be 7/20
this fraction cannot be reduced
What is the degree of angle o?
Show work
Answers
Let log p/n=8 and log m/n=5
What is the relationship between Pand M?
O A. P = 3M
O B. P = 1,000M
C. P= 100M
O D. P=0.001M
Answers
Answer:
B: p=1,000m
Step-by-step explanation:
Christine's parents gave her $70 to spend at the Topsfield Fair. She spent $10 on flowers and needs to buy vases. Each antique flower vase at the fair costs $3.
Which represents the number of antique flower vases Christine can buy?
at least 20 vases
O at the most 20 vases
O exactly 20 vases
O at the most l vase
Answers
Answer:
97
Step-by-step explanation:
any help plz ??? thx in advance you'll get brainliest
Answers
Answer:
For (a)
Well let “x” be amount of sales
And let ”y” be total pay
so 1200 is the base pay/ weekly
And a 5 percent commission on amount of sales
5 percent can be written as 0.05
Now we can make an equation
1200+0.05x = Y
So that would be your equation
Now for (b)
If she sold 10,000 that week as commission we can just plug it into our equation
1200+0.05(10,000)=y
Now solve
5 percent of 10,000 is 500 dollars.
Now 1200+500=1700
(b) is 1700 earned that week
Now for (c)
We want to know How much should be sold in order for a 3000 income. We’re finding amount of sells.
So same equation
1200+0.05x=3000
x=36,000 have to be solve in order to make 3,000 income Per week.
please need complete solution :(
Answers
1) Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. So, the linear inequality in 2 variables here is :- b) 3x + y > 4.
2) Linear functions are those whose graph is a straight line. Here, the linear function is :- d) f(x) = 4x + 3.
3) c) Relation is the set of all y such that y is an element of the real numbers.
4) Complementary angles make c) 90°.
5) d) Supplementary angles form 180°.
_______
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
what is 90 plus 60 plus 7x-12
Answers
[tex]90+60+ 7x -12 = 7x+138[/tex]
Mr Larson is planning a pizza party for 273 peoples he plans on 3 slices of pizza for each person. How many slices of pizza is this in all
Answers
Answer: 819
Step-by-step explanation:
273 x 3= 819
How to solve the Expected value
Answers
Answer:
The expected value is 50 degrees.
Step-by-step explanation:
This circle has a perfect section of 50 degrees marked, then another unknown sector, and since they are marked with a congruent marker, that means they are the same! The unknown sector is 50 degrees in length.
A restaurant keeps eggs in a rack that has 5 layers each layer has 5 row with 5 eggs in each row
Answers
5 Rows in each layer
5 in each row
25+25+25+25+25=125
Solve for x
x/4=4/10
Give your answer as an improper fraction in its simplest form.
Answers
Answer:
1.6
hope this helps you!!!!!!!
Step-by-step explanation:
the answer which I have solved is in the image if you have any query then please ask...
Expression Twins
Write 10 expressions, then rewrite them by using
mathematical properties or simplifying by combining like terms to create an
equivalent "twin" expression. Examples:
y + y + y = 3y
4(2y + 5) = 8y + 40
Make a fake birth
announcement to display your Expression Twins!
Answers
Answer:
Step-by-step explanation:
9.) During the soccer season, Finn scored goals on 8% of the shots he
took. If he scored 40 goals, how many shots did he take?
1 point
500 shots
50 shots
320 shots
32 shots
Answers
Answer:
500 shots
Step-by-step explanation:
the question is 8% of what number is 40?
we can use this proportion: is/of = %/100
let 'g' = number of goals
40/g = 8/100
cross-multiply to get:
8x = 4000
x = 500
