Mathematics High School

3. In the fig. AD = DC and AB = BC. Prove that ΔADB = ΔCDB
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3. In The Fig. AD = DC And AB = BC. Prove That ADB = CDB

Answers

Answer 1

Answer:

The two column proof is presented as follows;

The given parameters are;

[tex]\overline {AD}[/tex] = [tex]\overline {DC}[/tex] and [tex]\overline {AB}[/tex] = [tex]\overline {BC}[/tex]

Statement               [tex]{}[/tex]                     Reason

[tex]\overline {AD}[/tex] = [tex]\overline {DC}[/tex] and [tex]\overline {AB}[/tex] = [tex]\overline {BC}[/tex]       [tex]{}[/tex]       Given

[tex]\overline {BD}[/tex]  ≅  [tex]\overline {BD}[/tex]               [tex]{}[/tex]                    Reflexive property

[tex]\overline {BD}[/tex]  =  [tex]\overline {BD}[/tex]               [tex]{}[/tex]                     By the definition of congruency

ΔADB ≅ ΔCDB             [tex]{}[/tex]                By Side-Side-Side (SSS) rule of congruency

ΔADB = ΔCDB              [tex]{}[/tex]                 By the definition of congruency

If the three sides of one triangle are congruent to the corresponding three sides of another triangle, then both triangles are said to be congruent according to the SSS rule of congruency

Step-by-step explanation:

Related Questions

Which side is longer?​

Answers

Answer:

RQ

Step-by-step explanation:

I think since it's going up. and the angle it is makes it look a little bigger.

1440 minutes / 1 day = ? / days

Answers

Answer: 1440 minutes is 1 day

Step-by-step explanation:

A youth group is making and selling sandwiches to raise money. The cost to make each sandwich is h dollars. The group sells 150 sandwiches for a total of (150h+450) dollars. How much profit does the group earn for each sandwich sold?

Answers

Answer:

Profit earn by group for each sandwich sold=$ 3

Step-by-step explanation:

We are given that

Cost to make each sandwich= h dollar

Total selling price of 150 sandwiches=(150h+450 )dollars

We have to find the profit earn by group on each sandwich sold.

Total cost for making 150 sandwiches=[tex]150\times h[/tex]

Total cost for making 150 sandwiches=150 h

Now,

Profit made by group on 150 sandwiches

=150h+450-150h

=450 dollars

Profit earn by group for each sandwich sold=[tex]\frac{450}{150}[/tex]

Profit earn by group for each sandwich sold=$ 3

Which measurements could create more than one triangle?
A. A triangle with sides measuring 5 cm, 10 cm, and 15 cm
B. A triangle with sides measuring 5 inches, 7 inches, and 9 inches
C. A triangle with sides measuring 50 mm and 35 mm and a
nonincluded angle measuring 25°
O D. A triangle with sides measuring 8 cm and 12 cm and an included
angle measuring 85°

Answers

Using rules of congruency, option C.  A triangle with sides measuring 50 mm and 35 mm and a nonincluded angle measuring 25°, can create more than one triangle.

What is congruency?

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure i.e., the triangles are of same size and shape.

Since part A and B follow SSS congruency, thus for such measures, there can only be one triangle. Similarly, part D follows SAS congruency.

But for part C, there is no congruency as SSA.

Learn more about congruency here

https://brainly.com/question/7888063

#SPJ2

Use the least common denominator to write an equivalent fraction for each fractoin a .5/6 2/9 b. 1/12 3/8 c. 5/9 2/15

Answers

D ksksnddiiwjejwkwakds

Pls help me with this. Show your work and solve that is it.

Answers

Answer:

[tex]5\sqrt{18}-\sqrt{32} \\=5 \sqrt{3 \times 3 \times 2} - \sqrt{2 \times 2 \times 2 \times 2 \times 2} \\ = 5 \times 3 \times \sqrt{2} - 2 \times 2 \times \sqrt{2} \\ = 15 \sqrt{2} - 4 \sqrt{2} \\ = \boxed{11 \sqrt{2} }[/tex]

11√2 is the right answer.

You are out to dinner at Olive Garden with two friends. The total price of your three
meals was $67.50. You tipped the waitress $12.06. What was the percent that you
used to calculate the tip?

A. 20.5%

B. 36%
C. 6.8%

D. 18%

Answers

Answer:

i believe it is D. 18%

Step-by-step explanation: i lovee olive garden

Answer:

The answer is A or 20.5%

Step-by-step explanation:

i hope you do amazing on your test!

✧brainliest appreciated✧

A babysitter's earnings e are a function of the number of hours n worked at a rate of $7.25 per hour?

Answers

Answer:

e=7.25n+0

Step-by-step explanation: If there's a starting number how money the babysitter has replaced the 0 with that number

x/2 - 5 = -3 hurry pls

Answers

Answer:

x = 4

Step-by-step explanation:

I answered as i understood the question

Answer:

x=4

Step-by-step explanation:

x=2(-3+5)

x=2(2)

x=4

Graph y=3x-2

I need help asap

Answers

Use a graphing calculator

Answer:

How to graph it

Step-by-step explanation:

First, put the y-intercept (when it crosses the up- and-down line) at the whole number, and for every one x unit, put three y units up.

=) Hope this helps.

9     O etc.

6 O

3O

0123

find the lcm among these numbers 15,18,24,36,​

Answers

Answer:

360

Step-by-step explanation:

Answer: Here the numbers mentioned are 15, 18, 24 and 36. Let us factorise each of them. In order to obtain the LCM of the above mentioned numbers, we multiply all the prime factors in their highest power of all the numbers. Hence, the LCM here is 3^2*2^3*5 = 360.

There are 1,286 souvenir paperweights that need to be packed in boxes. Each box will hold 14 paperweights. How many boxes will be needed?

Answers

1286/14=91.8
92 boxes are needed

There are 340 people in a park. 2/5 of the children is equal to 4/7 of the adults. How many adults and how many children are in the park?

Answers

Answer:

136

Step-by-step explanation:

4/7 * 340

136

That is the answer for the equation

Show me work!!!!!!!!!!!

Answers

Answer:

(2, 4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

Endpoint A(1, 2)

Endpoint B(3, 6)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Substitute in points [MF]:                    [tex]\displaystyle (\frac{1+3}{2},\frac{2+6}{2})[/tex][Fraction] Add:                                     [tex]\displaystyle (\frac{4}{2},\frac{8}{2})[/tex][Fraction] Divide:                                 [tex]\displaystyle (2,4)[/tex]


30 = -5 = ___
Divide you answer

Answers

the answer is negative 6

Answer:

6 possibly

Step-by-step explanation:

you said to divide so

30/5=6

Find the values for a and b that would make the equality true.
–3(2x2 + ax +b) = -6x2 + 12x – 15
a =
b=

Answers

Answer:

a = - 4, b = 5

Step-by-step explanation:

Expand the left side, then compare the coefficients of like terms.

- 3(2x² + ax + b)

= - 6x² - 3ax - 3b, compare to - 6x² + 12x - 15

Compare coefficients of x- terms

- 3a = 12 ( divide both sides by - 3 )

a = - 4

Compare constant terms

- 3b = - 15 ( divide both sides by - 3 )

b = 5

A baseball player got 102 hits in the last 300 times at bat. Explain how you would find the percent of times at bat.​

Answers

Answer:

34%

Step-by-step explanation:

Divide the number of hits, 102, by the times at bat, 300. Then move the decimal 2 places to the right and add the percent sign to get 34%.

Answer:

34%

Step-by-step explanation:

You would cross mulitply to find the answer.

[tex]\frac{102}{300}[/tex]  x  [tex]\frac{x}{100}[/tex]

multiplying that out would equal

300x = 10200

then find x by dividing 10200 by 300

you get x=34 and 34 out of 100 is 34%

help me I need too pick up my grade .

Answers

Answer:

65

Step-by-step explanation:

Thats The Correct answer I dont really know how to explain

For one week, Xavier rode his bike 5.25 miles each weekday and a total of 13 miles on the weekend. How many total miles did Xavier ride his bike that week?

Answers

Answer:

39.25 Miles

Step-by-step explanation:

5.25 * 5 = 26.25

26.25+13= 39.25

Answer:

Step-by-step explanation:

5.25x5days= 26.25

Plus weekend 13.00 miles

Total. 39.25 miles for the week

30) Identify the polygon below.
A) Converse
B) Central
C) Convex
D) Concave

Answers

You can look up each different polygons and find the answer‍♂️
Uhhhh I’m gonna have to LOOK IT UP but it’s ok tho

What is the area of the castle Ella built from wooden blocks?

Answers

Answer:

A = 115200

Step-by-step explanation:

I think this is correct.

I am not sure though

Is the following a geometric sequence? 1,2,3,4,5....

Answers

Nope, this isn’t a geometric sequence. A geometric sequence is a sequence in which each previous number is multiplied by a fixed number each time.

Answer:

no

Step-by-step explanation:

No this is increasing by 1 each time and therefore it's an arithmatic sequence

Solve for n.
6(n-3)- 2n=10

Answers

Expand: 6n-18-2n=10
Collect the like terms :6n-2n=4n
4n-18=10
Add 18 onto 10
4n=28
Divide by 4
Answer is n=7

1. Bessie is making an apple pie. The top of the pie pan is shown
below. Approximately how much pie crust will Bessie need to cover
the top of the pie? Use 3.14 for it.
9.5 in.
A. 25
B. 30
C. 50

Answers

Answer:

THE ANSWER IS 71

Step-by-step explanation:

PLEASE HELP ASAP I'M TIMED



a ball is dropped from a height of 5 feet and bounces to 60% of its previous height on each subsequent bounce. Which statement is true regarding the vertical distance the ball has traveled when it hits the ground for the fourth time?

4
A. One should use ∑(0.6)^n(5) which results in 10.88ft for the vertical distance traveled
n=0



3

B. One should use 5+∑2(0.6)^n(5) which results in 16.76ft for the vertical distance

n=0



4

C. One should use 5+∑2(0.6)^n(5) which results in 18.06ft for vertical distance traveled

n=0



4

D. One should use ∑2(0.6)^n(5) which results in 21.76ft for vertical distance traveled

n=0

Answers

Answer:

C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I did the work for ya. Ngl, this stuff is hard. Good luck.

Does anyone know what the y-int is please help

Answers

i’m pretty sure it’s 1
it is 1 because that is where the line first hits on the y - axis :)

NEED ASAP!!!!

Determine if the three lengths given will be able to construct a triangle or not: 5, 12, 2.
A) Yes, they can form a triangle.
B) No, they cannot form a triangle.

Answers

Answer:

B

Step-by-step explanation:

Using the Triangle Inequality Theorem, two sides of the triangle should always add up to be greater than the third side or it is not a triangle.

5 + 2 = 7 This sum is less than the third side, 12. Therefore, this cannot make a triangle.

HELLLLLPPPPPP what is 123 x 85?????

Answers

It’s 10455 well that’s what I got

Answer:

10,445.

Step-by-step explanation:

Hope this helps!

(sorry if it's wrong)

This recipe makes 16 portions of potato soup.
Richard follows the recipe but wants to make 4 portions.
Complete the amounts of each ingredient that he needs.
Recipe: Serves 16
96 ml oil
240 g onions
1.44 kg potatoes
1.61 milk

Answers

Answers:

24 mL of oil60 g onions0.36 kg potatoes0.4025 cup of milk

The units for the milk weren't stated, but I'm assuming it's probably "cups".

=========================================================

Explanation:

The recipe makes 16 portions or servings of soup. Richard only wants 4 servings. This means he needs to divide each ingredient amount by 4. Note how 16/4 = 4.

So,

96/4 = 24 mL of oil is needed240/4 = 60 grams of onions are needed1.44/4 = 0.36 kilograms of potatoes are needed1.61/4 = 0.4025 cups of milk are needed

Change "cups" to whatever other measurement unit is provided.

After how many months will workout 24 and your gym cost the same anount

Answers

Answer:

270 ?..................

Answer:

30 months

Step-by-step explanation:

200+55m=50+60m

60m-60m = 0

55m-60m = -5m

200-5m=50

200-200=0

50-200= -150

-150/-5 = -5m

-5m/5 = 0

-150/-5 = 30

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