How would I prove the congruency of these triangles?

How Would I Prove The Congruency Of These Triangles?

Answers

Answer 1

Answer:

SAS

Step-by-step explanation:

line AB = line CD    S = SIDE

AB = CD because the shape is a parallelogram and opposite sides of a parallelogram are equal.

Hence, proved AB = CD

Answer 2

Answer:

Step-by-step explanation:

In ΔADC & ΔABC,

Statement              Reason

AD = BC                 Given

∠DAC ≅ ∠ACB       {AB // BC , AC is transversal, ⇒ alternate interior                                     angles are equal}

AC = CA                   Reflexive property

ΔADC ≅ ΔABC         SAS congruent

AB = CD                 CPCT -> Corresponding Part of Congruent Triangles


Related Questions

What is the solution to the equation 9(w – 4) – 7w = 5(3w - 2)?
34
Ow=-13
Ow=-2
6
Ow= 13
Ow= 26

Answers

Answer:

w=-2

Step-by-step explanation:

9(w-4)-7w=5(3w-2)

9w-36-7w=15w-10

9w-7w-15w=-10+36

-13w=26

w=-2

Mario is 68.5 inches tall. Tyler is 63.25 inches tall. How much taller is Mario than Tyler

Answers

Answer:

5.25inches

Step-by-step explanation:

difference in height = 68.5-63.25 =5.25

Height of Mario Hm = 68.5 inches

Height of Tyler Ht = 63.25 inches

Evidently, Hm > Ht

Now difference = Hm - Ht = 68.5 - 63.25

= 5.25 inches

Answer: Mario is 5.25 inches taller than Tyler.

CAN SOMEONE HELP PLEASE.GIVING 25 POINTS

Luke recorded the grade-level and instrument of everyone in the middle school
School of Rock below.
Seventh Grade Students
Eighth Grade Students
Instrument # of Students
14
Instrument # of Students
Guitar
5
Bass
9
Drums
9
Keyboard
9
Guitar
Bass
Drums
Keyboard
13
15
6
Based on these results, express the probability that an eighth grader chosen at
random will play an instrument other than bass as a fraction in simplest form.

Answers

Answer:

35/48

Step-by-step explanation:

You just want to focus on the 8th graders. Add add the total number of students together to get your denominator. Then just put what your # of  bass students are and that is your probability in fraction form. ( the fraction can't be simplified smaller than it already is.)

find the distance between the two points in simplest radical form

Answers

2 over 17 is the answer to this problem

The distance between the two points (7, - 1) and (9, - 9) is,

d = √68

We have to given that,

To find the distance between the two points (7, - 1) and (9, - 9)

Since, The distance between two points (x₁ , y₁) and (x₂, y₂) is,

⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²

Hence, We get;

The distance between the two points (7, - 1) and (9, - 9) are,

d = √ (9 - 7)² + (- 9 + 1)²

d = √4 + 64

d = √68

Therefore, the distance between the two points (7, - 1) and (9, - 9) is,

d = √68

Learn more about the coordinate visit:

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What’s the answer to this? Please send help

Answers

Answer:

C

Step-by-step explanation:

find the square root of 169 step by step explain​

Answers

Answer:

13

Step-by-step explanation:

13 x 13 = 169

Diego started with this shape Diego moves the shape down, turns it 90 degrees clockwise then moves the shape to the right

Answers

Transformation involves changing the position and/or dimension of a shape, a line or a point.

I've added as an attachment, the result of the transformation.

From the question, the following transformations were performed by Diego.

Move downward ----- > Turn 90 degrees clockwise ----- > Move to the right

Move downward

When a shape is moved downward, the new position of the shape will be directly under its previous location

Turn 90 degrees clockwise

This means that the shape will be rotated, 90 degrees to the right. However, the position of the shape will remain unchanged.

Move rightward

When a shape is moved rightward, the new position of the shape will be directly to the right of its previous location

Refer to attachment for further explanation

Read more about transformations at:

https://brainly.com/question/11709244

,
20. In the figure, O is the centre of the concentric circles of radii 17 cm
and 10 cm respectively. Chord AD of the larger circle cuts the smaller
circle at B and C such that AB = 9 cm. Find
(a) the distance of AD from the centre,

Answers

Answer:

I confirm my answer : 8(cm)

Step-by-step explanation:

In the triangle OAB, BO²=AB²+AO²-2*AB*AO*cos( BAC)

cos (BAC)=9²+17²-10²/(2*9*17)=15/17

AC/AO=cos(BAC) ==> AC=17*15/17=15

OC²=AO²-AC²=17²-15²=64

OC=8 (cm)

Using deductive reasoning, write the converse, inverse, and contrapositive of an if-
then statement.

Answers

Answer:

give brainliest please I need it to level up

Step-by-step explanation:

p -> q

converse

~p-> ~q

inverse

q-> p

Contrapositve

~q-> ~p

Solve for M
-3+m/ 9 = 10

Answers

Step-by-step explanation:

-3+m/9=10

m/9=10+3

m/9=13

m=13×9

m=117

Note:if you need to ask any question please let me know.

What is 463,954 rounded to the nearest ten thousand?

400,000
460,000
463,000
463,900

Answers

Your Answer:
460,000

2a) what is the inverse of -134
2b) what is the inverse of 5/6

Answers

Answer:

2a )  4/-13

2b)   6/5

Which function describes the granh below?

Answers

Answer:

second one Step-by-step explanation:

7x -3x = 20?

I do not know what this is…

Answers

7x-3x = 20

Simplify by subtracting:

4x = 20

Divide both sides by 4:

X = 5

Answer:

7x-2x=20

6x=20

6x÷6=20÷6

x=16.67

Name each angle four ways.​

Answers

Answer:

right angled triangles

Solve the fraction problems and reduce the answer to its lowest form:-
1)7/10×2/21
2)9/16×10/21
3)11/12×26/55
4)2/6×18/12×2/3
5)5/6×9/10

Answers

Answer:

1/1515/5613/301/33/4

Step-by-step explanation:

1) 7/10 × 2/21

1/15

2) 9/16 × 10/21

90/336

15/56

3) 11/12 × 26/55

13/30

4) 2/6 × 18/12 × 2/3

72/216

1/3

5) ⅚ × 9/10

45/60

3/4

I need help rounding numbers to the nearest tenth, hundredth and thousandth

Answers

Answer:

hey friend

what's your question

Which expression is equivalent to
-9 - 9?
–9- (-9)
0-9 + (-9)
Submit Answer
0-9 +9
|-9- (-9)

Answers

-9 - 9 is the same that -9 + (-9)

-9+(-9) is the answer. Bcz if you solve -9-9 is equals to -18 right? So if you solve -9+(-9) it bcomes -9-9 bcz if you see plus and minus together it bcomes negative.

please help me............................

Answers

Answer:

B.

Step-by-step explanation:

A triangle has three angles. The first angle measures 20 less than a number. The second triangle is three
times the number. The third is the number. What are the measurements of each of the three angles in this
triangle?

Answers

Answer:

first angle is 20, 2nd is 120, 3rd is 40.

Step-by-step explanation:

with these words, "20 less than a number, Three

times the number, is the number." We can set up the equation x-20+3x+x = 180. combine like terms and we get 5x-20=180. add 20 to both sides to get 5x=200 then divide 200 by 5x to get x = 40. We can then plug 40 into each of the expressions, x-20, 3x, x, to get our angles.

If some one could figure out the x and y are
The problem is
3x+4y=50
-2x=y

Answers

Answer:

x = -10

y = 20

Step-by-step explanation:

y = -2x

so

substituting the value in equation ii

3x + 4y = 50

or, 3x + 4(-2x) = 50

or, 3x + (-8x) = 50

or, 3x-8x = 50

or, -5x = 50

so, x = -10

so

y = -2x

or, y = -2*(-10)

so, y = 20

Evaluate with help of distributive property :
i. 425 x 136 ii. 4005 x 67

Answers

Answer:

1 : 57,800.

2: 268,335

Step-by-step explanation:

hope it helps you

The expressions are evaluated using distributive property below -

We have -

i. 425 x 136

ii. 4005 x 67

We have to evaluate them with help of distributive property.

State the  property of distributivity of multiplication over addition.

Distributive property of multiplication over addition :  

a × (b + c) = a × b + a × c

According to question, we have -

i. 425 x 136

ii. 4005 x 67

Now -

425 x 136 = 425 x (6 + 30 + 100) = 425 x 6 + 425 x 30 x 425 x 100

and

4005 x 67 = 4005 x (60 + 7) = 4005 x 60 + 4005 x 7

Hence, the evaluation using distributive property is done.

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4/5 divided by 3 fraction.......​

Answers

Answer:

4/15

Step-by-step explanation:

[tex]\frac{\frac{4}{5} }{3}=\frac{4}{5}(\frac{1}{3})=\frac{4}{15}[/tex]

Solve for x: 3x - 5 + 2x = 25 - 5x

Answers

Answer:

x=3

Step-by-step explanation:

Add 2x and 3x

5x-5=25-5x

move -5x to the other side by adding 5x on both sides:

10x-5=25

Add 5 on both sides:

10x=30

Divide 10 on both sides:

x=3

Hope this helps!

Answer:

Step-by-step explanation:

5x - 5 = 25 - 5x

10x - 5 = 25

10x = 30

x = 3

A store donates 3% of total sales to a charity. Mr. Winn bought 4 jackets at the store. Each jacket had a price $150. how much did the store donate to charity because of the jackets Mr. Winn bout?

Answers

Answer:

$18

Step-by-step explanation:

3%=0.03

$150*0.03=$4.50

$4.50*4=$18

A roof repairer works out that he will need to work with a colleage charges $20 per hour. In the end, they took 6 hours to fix the roof.

a. Write an expression with parentheses to describe how much the homeowner ownes for labor.

b. Evaluate your expression to calculate the cost of the labor.​

Answers

a) 20(x)=y

b) $120

Let x= number of hours

Let y= Cost of labor

20 will remain constant, what matters is how many hours are being worked. If it's $20 per hour then it's safe to assume 1 hour is 20 dollars worth of labor. Due to it being per hour you have to multiply the rate by however many hours worked to get your final cost.

b) 20 labourers complete the construction of a building in 24 days. In how many days would 16 labourers complete the construction?​

Answers

Answer:

16 labourers complete the construction

in 30 days

Step-by-step explanation:

mark me as a brainlist answer

if AC = 72 and BC = 32, what is the length of AB

Answers

Answer:

104

Step-by-step explanation:

solution :

AC = 72

BC = 32

AB = AC + AC

= 72+32

= 104#

Am i right ?

Find the measure of the given angle.

Answers

Answer:

132

Step-by-step explanation:

solve by completing the square pls show work i will mark brainliest

Answers

Answer:

[tex]3(x-1)^2 +6[/tex]

Step-by-step explanation:

Write [tex]3x^2-6x+9[/tex] in the form: [tex]x^2 + 2ax + a^2[/tex].

Factor out 3.

[tex]3(x^2 -2x+3)[/tex]

Add and subtract [tex]\left(-1\right)^2\:[/tex].

[tex]3\left(x^2-2x+3+\left(-1\right)^2-\left(-1\right)^2\right)[/tex]

You dont have to write this section down but its for notes:

[tex]x^2+2ax+a^2=\left(x+a\right)^2[/tex]

[tex]x^2-2x+\left(-1\right)^2=\left(x-1\right)^2[/tex]

Continue writing this down to show work:

Complete the square

[tex]3\left(\left(x-1\right)^2+3-\left(-1\right)^2\right)[/tex]

Simplify

[tex]3\left(x-1\right)^2+6[/tex]

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