In Δ ABC and ΔXYZ ,∠B=∠X=90 and BC=XZ .What additional information is required to make Δ ABC congruent to ΔXYZ by R.H.S condition.​

Answers

Answer 1

Answer:

AC = XY

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Two triangles are said to be congruent if all the three sides and three angles of one triangle is equal to the three sides and three angles of the other triangle.

In Δ ABC and ΔXYZ ,∠B=∠X=90. This means that triangle ABC and triangle XYZ are right angled triangle since one of their angles is 90 degrees.

The hypotenuse is the side opposite to right angle (90 degrees).

Therefore AC is the hypotenuse of triangle ABC and YZ is the hypotenuse of triangle XYZ.

If the hypotenuse and one leg of a right angled triangle is equal to the hypotenuse and leg of another right angled triangle, then the two triangles are congruent by RHS rule.

Since BC = XY, for Δ ABC congruent to ΔXYZ by R.H.S condition, the hypotenuse have to be equal, i.e. AC = XY


Related Questions

what will be the number of square units on each side of a square graph paper if the total number of square units is 256 ?​

Answers

Answer:

Step-by-step explanation:

Let the number of units be a

As per the square it will a×a which is a²

A²=256

A=16

16 units each side

I Hope it help

PLZ ANSWER QUICK IT WILL HELP A LOT!

Answers

Answer:

a

Step-by-step explanation:

Can somebody help me ill give u brainlist

Answers

90 degrees hope this helps :)
Your answer is 90

You can see that there’s a right angle on the right side of the triangle.
Or, if you want to be more specific:

Since two triangles are congruent,
Angle w=62

So, 180-(28+62)
= 180-90
=90

Do any one know the answer 8X + 4 - 6x + 7*

Answers

Answer:
2x+11

Explanation: it’s the answer:)
-2x+11 is what I got


[tex]y = 3x - 2 \\ y - 2 = x[/tex]
that's the problem ​

Answers

Answer:

The solution to the system of equations be:

x = 2, y = 4

Step-by-step explanation:

Given the system of equation

y - 2 = x

y = 3x - 2

substitute y = 3x - 2 in the equation y - 2 = x

y - 2 = x

(3x - 2) - 2 = x

3x -2 -2 = x

3x - 4 = x

add 4 from both sides

3x - 4 + 4 = x + 4

3x = x + 4

subtract x from both sides

3x - x = x + 4 - x

3x - x = 4

2x = 4

divide both sides by 2

2x/2 = 4/2

x = 2

For y = 3x - 2, plug in x = 2

y = 3x - 2

y = 3(2) - 2

y = 6 - 2

y = 4

Therefore, the solution to the system of equations be:

x = 2, y = 4

13x-12 = 7x-6
What is the value of x?

Answers

Answer:

x=1

Step-by-step explanation:

13x-12=7x-6

13x-7x=-6+12

6x=6

x=1

I hope this helps, have a great day! :) -wilzW

After solving the equation, the value obtained for x is equal to 1.

What is an equation?

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given equation in the question,

13x - 12 = 7x - 6

13x - 7x = -6 + 12

6x = 6

x = 6/6

x = 1

Therefore, the value obtained for x will be equal to 1.

To know more about an equation:

https://brainly.com/question/10413253

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-4x=-3y-5 into standard form

Answers

Answer:

4x-3y=5

Step-by-step explanation:

Answer:

5=3y+4x

Step-by-step explanation:

Step 1:

-4x = 3y-5

+4x   +4x

Step 2:

0 = 3y+4x-5

+5            +5

5=3y+4x

1. If you have a McDonalds order where the subtotal comes to
$29.46 and you give a 15% discount coupon, how much will the
new subtotal be?

Answers

The total is 25.04 dollars becuase 15 percent of 29.46 is 4.42 and subtract that and that’s what u get
25.04 because 15% of 29.46 is 4.42

Which expression is equivalent to?

Answers

I think it is the third one from the top

How many threes are in five-eighths?


Answer in fractions please!

Answers

Step-by-step explanation:

10|16 I think.........................

I WILL GIVE BRAINLIST NEED HELP ASAP

Triangle ABC is isosceles with m(∠B) = 135°. What is m(∠A)?

A
22.5°

B
45°

C
90°

D
135°

Answers

Answer:

a is the correct answer brainliest plz

Answer:

fbbhvbskjdbjsbkbdkfbvkdbvvbkdbvkjbdvkjsbvjbv

Step-by-step explanation:

pleas help if you want

Answers

Answer:

Octagon

Convex

Regular

Step-by-step explanation:

8-sides

not concave(fold inward)

Has all equal sides

Fiona has $12. This summer, she is earning $10 for each lawn that she mows. Assume she
saves all of her money this summer.
Create a graph that represents the relationship between the number of lawns Fiona mows, 2,
and the total money she has, y.

Answers

Answer:

well you want to set it up in a way that it shows how many days she mowed a lawn and then multiply by 10 and after add 12

Step-by-step explanation:

hope this makes sense :)

Answer:

well you want to set it up in a way that it shows how many days she mowed a lawn and then multiply by 10 and after add 12

Step-by-step explanation: good luck

Guys, I don't know how to do this. I need help.

Answers

I think it’s A might be wrong though
Wow thts hard um I’m finna look tht up

What is the answer to the problem: x/2 - 1/5= x/3 + 1/4

Answers

Answer:

27/10

Step-by-step explanation:

x/2-1/5 = x/3+1/4

x/2-x/3 = 1/4+1/5

(30x-20x)/60 = (15+12)60

10x = 27

=> x = 27/10

Answer: x=  27/10

                       decimal form is 2.7

Step-by-step explanation:

simplify both side of equation then isolate the variable

                       :)

In the figure below, lines and k are parallel
M21 = m28
m23 = m25
1/2
3/4
26 = m27
19
m24+ m26 = 180°
10
5/6
7/8
→K
m25+ m2g + m2 10 = 180°
Select all the equations that must be true.
180°
27 = m29 + m2 10

Answers

Hey there ..

Here is ur answer .. (refer image)

Please mark me as brainliest if you find it helpful..

Follow me ..

Thank u

The true statements of the angles of the parallel lines are

a) m∠1 = m∠8

b) m∠6 = m∠7

c) m∠4 + m∠6 = 180°

d) 180° - m∠7 = m∠9 + m∠10

What are Parallel Lines Cut by Transversal?

Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.

Corresponding angles

When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position

Alternate Interior Angles

Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.

Alternate Exterior Angles

The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.

Consecutive Interior Angles

When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.

Given data ,

The true statements are

a) m∠1 = m∠8 ( alternate exterior angles )

b) m∠6 = m∠7 ( vertically opposite angles )

c) m∠4 + m∠6 = 180° ( co-interior angles are supplementary )

d) 180° - m∠7 = m∠9 + m∠10 ( triangle exterior angle theorem )

Hence , the angles of the parallel lines are solved

To learn more about parallel lines cut by transversal click :

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simplity 4×5p =

please help me out i may think the answer could be like

4×5= 20p? ​

Answers

Answer:

20p

Step-by-step explanation:

Yeah becuase 4 x 5=20, and the only difference is the p so add the p onto the end and that's the answer :)

4 pints, 3 cups = ____ fl oz.

Answers

Answer:

88

Step-by-step explanation:

4 pints = 8 cups

3 cups = 3 cups

8 cups + 3 cups = 11 cups

11 cups = 88 fl oz

Answer:

64 + 24 = 88 oz

Step-by-step explanation:

1 pint = 16 oz  (4 x 16 = 64)

1 cup = 8 oz (3 x 8 =24)

If f(x) = x² + 1 then what is f(3)?

Answers

Answer:

f(3) = 9

Step-by-step explanation:

given:

[tex]f(x)=x^2[/tex]

[tex]f(3)=3^2[/tex]

[tex]f(3)=9[/tex]

just insert the value in and you get your answer


A house purchased for $220000 has it's value grow at a constant rate of 4%. Determine the approximate
value of the house 5 years after purchase

Answers

Answer:

the answer is 264000.....

Answer:

264,000

Step-by-step explanation:

4% of 220000 is 8800

8800 x 5 = 44000

220000 + 44000 = 264000

PLEASE HELP ME IT IS AN EMERGENCY!!!!!!!!! I WILL MARK BRAINLLIEST FOR THE CORRECT ANSWER!!!!!!!!!!!!

When the original price and discounted prices are known, how can we find the percent markdown?

Answers

Step-by-step explanation:

The amount that you decrease the price by can be expressed as a percent of the selling price, known as the markdown rate.

It is in the picture Thanks :D

Answers

Answer and Step-by-step explanation:

P is less than -1 (P < -1) is the answer.

P on the line is shown to be in between -2 and -1. This means that P has to be greater than -2, and also be less than -1.

Less than -1 is an option, so that is the answer.

#teamtrees #WAP (Water And Plant)

Help me plzzzzzz
help me help me

Answers

Answer:

Step-by-step explanation it’s d

ANSWER: I believe that A-0.4 is the correct answer

Explanation: Because this fraction is being divided by tenths not hundredths of fourths.

Please help me with this I will give brainliest to one of the two who has the best answer. Thank you!

Answers

21a is where they went wrong. Where did the 21a come from and 9a should not have an exponent. So they’re final answer should’ve been 9a - 49

Simplify the expression by adding.
(4x + 8) + (7x - 3)
O 16x
-3x + 11
O 3x + 5
O 11x + 5

Answers

Answer:

[tex]11x+5[/tex]

Step-by-step explanation:

[tex](4x + 8) + (7x - 3)[/tex]

[tex]4x + 8 +7x - 3[/tex]

[tex]4x+7x+8-3[/tex]

[tex]11x+5[/tex]

PLEASE HELP ASAP! ILL MARK BRAINLEST i feel like i’m missing one

Answers

Answer:

The ans is correct. But I think C is also correct.

Step-by-step explanation:

3) Pappa’s pizzas are cut into 5 slices. Andrew ate 4 slices and Sean ate 3. How many pizzas did they eat altogether? Write an expression to represent the situation.

Answers

Answer:

they at 1 and 2/5 pizzas because 4+3=7 and if there is only 5 peices in each pizza that makes 2 pieces of a 2nd pizza being eaten

Step-by-step explanation:

A fair coin is flipped 10 times and lands on heads 8 times. Provide a reason to justify the difference between the experimental and theoretical probabilities.

Answers

Answer:

You flipped it so good it landed on tails 2 times

Step-by-step explanation:

using pythagoras theorem if a = 3, b = 4 what is c?

3
4
5
6
3.6

Answers

Answer:

5

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ \\ {3}^{2} + {4}^{2} = {c}^{2} \\ \\ 9 + 16 = {c}^{2} \\ \\ {c}^{2} = 25 \\ \\ c = \sqrt{25} \\ \\ c = 5[/tex]

Mary's rectangular table is 90cm and 100cm long. what is area,in cm2 of mary's table?​

Answers

area is just length times width ! so u do 90 x 100 = 90,000cm^2 :)

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