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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-2k-4k=-18
i need help asapp
Answer: k = 3
-2k - 4k = -18
-2k - 4k = -18
-6k = -18
k = -18/-6
k = 3
Would appreciate brainly <3
Answer:
k = 3Step-by-step explanation:
Given,To find the value of kEquation:-2k - 4k = -18Solution:=> -2k - 4k = -18
(On adding like terms -2k and -4k)=> -6k = -18
(As -6 multiplied with k in this side, on other side it will divide -18)[tex] = > k = \frac{ - 18}{ - 6} [/tex]
(On Simplification)=> k = 3 (Ans)
Kendra saw a calculator on sale for $68.25. The original price of the calculator was $89.99.
What is the approximate discount on the calculator?
20%
25%
30%
35%
The approximate percentage discount is equal to 25%.
Given the following data:
Sales price = $68.25.Original price = 89.99To calculate the approximate discount on the calculator:
First of all, we would determine the discount on the calculator by using the following mathematical expression:
[tex]Discount = Original\;price -Sales\;price[/tex]
[tex]Discount = 89.99 -68.25[/tex]
Discount = $21.74
Now, we can calculate the approximate percentage discount:
[tex]Percent\;discount = \frac{21.74}{89.99} \times 100\\\\Percent\;discount = \frac{2174}{89.99}\\\\Percent\;discount = 24.16[/tex]
Percent discount = 25%
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Calculate ������(������) when ������(������)=⟨6������−1,−1,3������⟩.
Answer:
3.7
Step-by-step explanation:
Find the distance between the two points in simplest radical form. Please help! <3
Answer: on the bottom is (-6,5) and on the top is (1,7)
Step-by-step explanation:
Melanie buys a carrying case for her new laptop, which costs 125% as much as her old laptop case. The price of her new laptop carrying case is $65. If n represents the cost of her old laptop carrying case, which proportion can be used to find n?
Answer:
C
Step-by-step explanation:
Because don't know old laptop cost.
So 65 dollars represent 100% and n(old case) represents 125%.
Volume=1210 ft radius of 11 find the height
Answer: 12.73 feet
Step-by-step explanation: We aren't told the type of vessel. I'll assume a cylindrical tank.
Volume of a cylindrical tank is V = πr²h
I'm assuming the 1210 is in units of volume, such as ft^3
1210ft^3 = πr²h
h = (1210ft^3 )/(π(5.5)²)
h = 12.73 ft
100 POINTS IF U GET THIS RIGHT!
Answer:
y-intercept: 5/3
Step-by-step explanation:
Our equation: y = mx + b
Given equation: y = -8/3 + 5/3
=> Now, let's compare.
=> y = mx + b = y = -8/3 + 5/3
=> we can tell that the y-intercept is b, which is 5/3.
Hoped this helped.
[tex]y = - \dfrac 83 x + \dfrac 53 \\\\\\\text{The above equation is in a form of y = mx +b where b is the y-intercept}\\\\\text{Hence}~ \dfrac 53~ \text{is the y-intercept}[/tex]
If (x) - 3x2 - 2x* 4 and g(x) = 5x2 - 6x - 8, find (f + 9) (4),
A. (14 g)(x) = 2x2 - 8x+12
B. (I* (*) - 2x2 4 84 - 12
C. (1 + 9)(x) = 8x2 + 4x - 4
D. (1+ g)(x) = 8x2 + 8x + 12
Answer:
C
Step-by-step explanation:
3x^2+5x^2-2x+6x+4-8
8x^2+4x-4
ANGLES OF A TRIANGLE SOMEONE ANSWER ASAP PLS ! );
Answer:
∠K = 123°
∠L = 97°
∠O = 83°
∠N = 40°
Step-by-step explanation:
∠K and ∡57° are Supplementary, so their sum is equal to 180°
180 - 57 = 123
∠K = 123°
∠N and ∡140° are also Supplementary
180 - 140 = 40
∠N = 40°
The area of a triangle is equal to 180 when all angles are added together
40 + 57 = 97
180 - 97 = 83
∠O = 83°
∠L is an outside angle, which is equal to the sum of the 2 further angles (in this case ∡57° and ∠N) which we found was 97° when solving for ∠O
∠L = 97°
Now to check ∠K we add ∠O and ∠N
83 + 40 = 123
Now we also check ∠O with ∡140°
140 - 57 = 83
So all of the angles check out correctly
i don't know what this means someone help?????
Answer:
2
Step-by-step explanation:
so 10÷2=5 6÷2=3 3/5
that what u need?
Answer:
the answer would be 2
Step-by-step explanation:
the perimeter of a right angled triangle is 12cm and the hypotunos is 5 cm find the value of other two sides
Answer: The other two values are 3 and 4. This is because it is the only value which fits the formula a^2 + b^2 = c^2 (which will be 5^2 in our case). Also 3,4, and 5 is a well known right angle side length.
Would appreciate brainly <3
Please help! take a pic and put a dot with the drawing tools on ur snipping tool/snip and sketch. Please i cant fail these questions!
take a pic of what and where are the questions???
Help I am stuck I will give brainlist
Answer: I think it is B
Step-by-step explanation:
Find the product of (3x + 7y)(3x − 7y)
Answer:
9x^2 - 49y^2
Step-by-step explanation:
Answer: 9x^2 - 49y^2
Step-by-step explanation:
(3x + 7y)(3x − 7y)
9x^2 -21xy + 21xy - 49y^2
9x^2 - 49y^2
Please give answer for this
Answer:
100 square cm
Step-by-step explanation:
Area of figure 1 = l *b = 10 *7 = 70 square cm
Area of figure 2 = 6* 5 = 30 square cm
Area of shape = 70 + 30 = 100 square cm
Which equations are true and can be used to find the factors of 32? Check all that apply. A. 32 divided by 1 = 32 B. 32 divided by 2 = 16 C. 32 divided by 3 = 12 Or D. 32 divided by 8 =4
Answer:
A, B, D are correct
Step-by-step explanation:
A. 32 divided by 1 = 32
Works, it is correct
B. 32 divided by 2 = 16
Works, it is correct
C. 32 divided by 3 = 12
Incorrect, 12 x 3 = 36, not 32
D. 32 divided by 8 = 4
Works, it is correct
-Chetan K
Jamall paid the rent well past the due date for the month of April May and June as a result he had been charge a total of $75 as a late fee how much does he have pay as late fee per month
Answer:
its In “Growing Up: Key Moments,” which piece of evidence best supports the author’s idea that challenging moments help people learn as they grow up?
Step-by-step explanation:
bc ez ez e yba better then aut
this is homework and can someone do this because I have more homework to do.
Answer:
So the answer is the type of graph this is it is a tsunami graph telling about
Step-by-step explanation:
the percentage of it
A 10 person swim team goes out to breakfast and orders 30
cinnamon rolls. If all members of the swim team came in for
breakfast, how many rolls would each person get?
(Please give me a variable and do it like this attachment photo shows!)
3
Step-by-step explanation:
30÷10 to know how many each person has.God loves you
This is slopes is this supposed to be negative or positive????
TJ wants to sell his antique 1966 Mustang. He begins to set his price by looking at ads and finds these prices: $12,000, $9,500, $7,500, $14,000, and $12,000. What is the mean, median, mode, and range price?
Answer:
Range: 6,500
The difference between the largest and the smallest number.
Mode: 12,000
The number that appears most.
Mean: 11,000
Because its the average of all numbers
Median: 9,500
The middle number
For 250 points and brainiest......
Order the following number from least to greatest
1. -7, 0, -5
2. -3, -2, 10
3. -18.5, 18, -12.5
4. 26, -20, -24.5
Answer:
1.) -7,-5,0
2.)-3,-2,10
3.)-18.5,-12.5,18
4.)-24.5-20,26
Step-by-step explanation:
Here is the order
-7<-5<0#2
-3<-2<10#3
-18.5<-12.5<18#4
-24.5<-20<26What two words make the contradion "there's"
A. There are
B. There is
C. That is
D. There has
Answer:
C: There is
Step-by-step explanation:
Hope this helps!
Mark as Brainliest if it does.
what is the answer to this question
6(3/4 + 2/3) - 4(1/6 + 1/2)
Answer:
5.83333333333
Step-by-step explanation: there you go
What is the mean absolute deviation (MAD) of the data set?
2, 6, 8, 12, 12
Enter your answer as a decimal in the box.
Answer:
2+6+8+12+12=40
40 divided by 5=8
6+2+0+4+4=16
16 divided by 5=3.2
MAD=3.2
Step-by-step explanation:
Answer:
3.2
Step-by-step explanation:
I took the test
share 5,000 in the ratio of 1:2:3:4
Answer:
500 : 1000 : 1500 : 2000
Step-by-step explanation:
sum the parts of the ratio , 1 + 2 + 3 + 4 = 10 parts
Divide the amount by 10 to find the value of one part of the ratio
5000 ÷ 10 = 500 ← value of 1 part of the ratio , then
2 parts = 2 × 500 = 1000
3 parts = 3 × 500 = 1500
4 parts = 4 × 500 = 2000
5000 = 500 : 1000 : 1500 : 2000 in the ratio 1 : 2 : 3 : 4
Translate the phrase into an algebraic expression.
The product of 6 and c
Answer:
c x 6 = x
Product judy basically means multiplication.
Find the percent of each number mentally.
A video controller cost $39. If a 6.75% sales tax is added, what is the total cost?
A. $2.63
B. $28.95
C.$41.63
D. $45.75
The total cost of the video controller is $41.63.
The correct option is C.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
A video controller cost $39.
If a 6.75% sales tax is added,
that means,
6.75% of 39,
= 6.75 x 39 / 100
= 2.6325 taxed amount.
The total cost = 39 + 2.6325 = 41.63.
Therefore, $41.63 is the total cost.
To learn more about the percentage;
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#SPJ2
Lilly made 32 of her 40 serve attempts over the net. What percent of her serves made it over the net?
The radius of a circle is 5 inches. What is the diameter? What is the circumference
Answer:
10 in
10\pi
Step-by-step explanation:
Diameter = 2× radious
[tex]c = 2 \times \pi \times r = 2\pi \times 5 = 10\pi[/tex]