Mathematics College

Question 2 of 10
Is AXYZ= AABC? If so, name the postulate that applies.
c
À X
Given:
ZYB
XY AB
YZ EBC
A
B
A. Congruent - SSS
B. Congruent - SAS
C. Might not be congruent
D. Congruent - ASA

Question 2 Of 10Is AXYZ= AABC? If So, Name The Postulate That Applies.c XGiven:ZYBXY ABYZ EBCABA. Congruent

Answers

Answer 1
The answer is congruent by SAS
Answer 2

The triangles XYZ and ABC are congruent by SAS postulate.

What is Congruence of Triangles?

Two or more triangles are said to be congruent if and only if sides and angles of one triangle is equal to the corresponding sides and angles of another triangle.

Given two triangles XYZ and ABC.

If the two triangles are congruent, their corresponding sides and angles must be equal.

Given,

∠Y = ∠B

XY ≅ AB

YZ ≅ BC

SAS congruence theorem states that if two sides and an included angle of a triangle is equal to corresponding two sides and an included angle of the other triangle, then they are congruent.

So, ΔXYZ ≅ ΔABC by SAS postulate.

Hence the two triangles are congruent by SAS postulate.

Learn more about Congruence of Triangles here :

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Related Questions

What is the greatest common factor of 6, 42, and 30?

Answers

Answer:

6

Step-by-step explanation:

I found that the greatest common factor for those numbers is 6

A woman bought a number of items for $72. She realized that if she had bought 12 more items for the same money, she would have paid $8 less per item. How many items did she buy?

Answers

Answer:

Johannes Gutenberg - Wikipediahttps://en.wikipedia.org › wiki › Johannes_Gutenberg

Johannes Gensfleisch zur Laden zum Gutenberg was a German goldsmith, inventor, printer, and publisher who introduced printing to Europe with his ...

Occupation: Engraver, ‎inventor‎, and printer‎

Born: Johannes Gensfleisch zur Laden zum G...

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People also askStep-by-step explanation:

How many seconds are there in
January?

Answers

Answer: 2,678,400

Step-by-step explanation:

There are 31 days in January and 2,678,400 seconds

Juan Rios rented a car for a 3-day weekend. The
car cost $35 per day plus $0.15 per mile. Juan
drove the car 425 miles and spent $53.75 on gas.
What was Juan's total cost? What was the cost
per mile?

Answers

Answer:

17000

Step-by-step explanation:

I hope this helps:)

Any tips for a gaming addicted brother? :-/

Answers

Answer:

Step-by-step explanation:

I would take his phone for a bit and also reduce screen time to 6 hours a week at MOST. It would help a lot.

Simplify: -5 + 3a +
6 - 4a.

Answers

Answer:

-a+11

Step-by-step explanation:

hard to explain. but should be correct

What is HK?............help me answer this

Answers

Answer

C

Step-by-step explanation:

Jillian tracks her progress on her spelling tests over a period of four weeks. Which list shows her scores from greatest to least
Weeks 1,3,2,4
Weeks 3,1,4,2
Weeks 3,1,2,4
Weeks 1,3,4,2

Answers

Answer: B

Step-by-step explanation:

The pair of equations that can be used to find x and y are:

x + y = 62

(1.02)x = 7

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here, we have,

The form of the pair of equations would be:

hours worked last week + hours worked this week = total hours worked both weeks equation 1

(1 + percent increase/100) x hours worked last week = hours worked this week equation 2

x + y = 62 equation 1

(1 + 20/100) ×x = y

(1.02)x = 7 equation 2

The two equations can be solved using either of these three methods:

elimination method

substitution method

graph method

To learn more about mathematical equations, please check: brainly.com/question/26427570

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complete question:

Jillian worked 62 hours this week and last week. She worked x hours last week and y hours this week. She worked 20% more hours this week than last week. What pair of equations can be used to find x and y?

Using the graph, determine the coordinates of the vertex of the parabola.

Answers

I don’t know for sure, but I think the vertex is (-5, 9)

If it’s wrong, hopefully this bobcat will make your day better

A photographer is arranging 3 puppies in a row for a photo. There is one black puppy (B), one tan puppy (T), and one white puppy (W). Which list shows all the possible arrangements of the puppies?
Select one:

BTW, BBB, TTT, WWW, BBT, BBW, TTB, TTW, WWB, WWT

BTW, BWT

TWB, TBW, BTW, BWT, WBT, WTB

TWB, BTW, WBT
If you don't answer, I'll report you!

Answers

There are 6 combinations:
TWB TBW BTW BWT WBT WTB

A number, f is positive

Answers

what are you asking?

Answer:

Not enough information.

Step-by-step explanation:

____________________

​

Answers

Answer:

the equation for that line would be y=0

Step-by-step explanation:

The slope is 0 so if one were to plug in 0 as a slope to y=mx+b you would get y=0x which can be simplified to y=0. Hope this helped. :)

solve by regrouping 2x2+6x+54+18x

Answers

Answer:

I believe the answer is=2x2+342.

Please help, test due in 1 hour! I will give brainliest!

Answers

i think it’s a sphere
sorry if it’s wrong

PLS HELP ASAPPP
I really need help

question: write in standard form.

2x^2+x^3-3+4x^5

Answers

Answer:

4x^5 + x^3 + 2x^2 -3

Step-by-step explanation:

Standard form is ( put simply ) the order the numbers are from highest to lowest. So the standard form of the equation would be 4x^5 + x^3 + 2x^2 -3

4x^5 +x^3+2x^2−3

hope this helps!

the rule for converting yards to feet

​

Answers

the rule is you must multiply by 3

Answer:

1 yard=3 feet

Step-by-step explanation:

If it needs more, then 3 feet=36in.

whats x value please help

Answers

Answer:Step-by-step explanation:

x+46=90

x=90-46

x=44°

3rd 9-Week Exam
Question: 1-1
Monica is using a coordinate plane to make a design in art class. She wants to reflect a line segment across the x-
axis as part of the design. The line segment has an endpoint at (-7,5) and is 5 units long. Which two ordered pairs
could be the coordinates of the endpoints of the reflection of the line segment?

Answers

Answer:

dgfrngssfrhrfhhkthgfgtuthrruyifrhtuturhfnfbhmxvdg4jfdd

Step-by-step explanation:

xdvbbffyeurudgdifhfjdchd8wixsigfir

Need help quick please

Answers

Answer:

line 2

Step-by-step explanation:

on line 2 the two minuses at the end turn into a + (where the -2 is there should be a +2) because - x - = +

write an explicit formula for an the nth term of sequence 100,20,4

Answers

Answer:

a_3=4

Step-by-step explanation:

a1 = 100

r = 1/5

an = 100 (1/5)^(n - 1)

so we now have the answer for a_3

a_3 = 100 * (1/5)^(3 - 1)

a_3 = 100 * (1/5)^2

a_3 = 100 * 1/25

a_3 = 4  

i believe this is it, although i'm not entirely sure

good luck :)

**please let me know if this was wrong/not what you were looking for or both**

have a nice day!

What is 2x-3y=-1
y=x-1

Answers

Answer: (4, 3)

Step-by-step explanation:

Let's use substitution.

So for y in the first equation we will substitute the expression for y in the second.

2x - 3(x-1) =  -1

2x -3x + 3 = -1

-1x + 3 = -1

       -3    -3

-1x = -4

-1x / -1 = -4 / -1

x = 4

Now plug in x for the second equation

y = 4 - 1

y = 3

Now check it using the first equation:

2(4) - 3(3) = -1

8 - 9 = -1

-1 = -1

It's true so it's correct

The letters in VIRGINIA are each written on a separate card. Mark picks one card at random, keeps it, and then picks a second card. What is the probability that he picks an "I" and then picks a consonant?


3/14


3/16


1/4


2/7

Answers

Answer:

okay I would say 1/4

Step-by-step explanation:

the originally eight letters, and then you take one out so there's seven and then your chances of getting the I are two so that's 2/7. then there's only one consonant the R so 1/4.

Eric is a car salesman. He earns a weekly salary of $175 plus 4% commission on sales. This
week he sold a car for $35,450.
A) How much commission did he earn this week?
B) What did he earn in TOTAL this week?
(urgent pls show work)

Answers

Answer:

Step-by-step explanation:

Find the number to add to x^2+14x to make it a perfect square trinomial. Write that trinomial as the square of a binomial.

Answers

Answer:

The number is 13

[tex] {x}^{2} + 14x + 13 \\ (x + 13)(x + 1)[/tex]

Step-by-step explanation:

I hope that is useful for you :)

Answer:

Step-by-step explanation:

Find the 10th term of the arithmetic sequence -x + 9, 4x + 14, 9x + 19, ...

Answers

Answer:

44x + 54

Step-by-step explanation:

The nth term of an arithmetic sequence is given by :

Tn = a + (n - 1)d

d = common difference = T2 - T1

d = T2 - T1

a = first term = - x + 9

d = 4x + 14 - (-x + 9)

d = 4x + 14 + x - 9

d = 5x + 5

The 10th term:

T(10) = (-x + 9) + (10 - 1)*(5x + 5)

T(10) = - x + 9 + 9(5x + 5)

T(10) = - x + 9 + 45x + 45

T(10) = 44x + 54

Hence, the 10th term is 44x + 54

Jacey has 40 pizzas to sell in the concession
stand at a basketball game. Each pizza has
been cut into 8 slices of equivalent size. In the
first hour, Jacey sold 16 3/8 pizzas. In the second
hour, she sold 18 3/4 pizzas. How many pizzas
does Jacey have left to sell?


Plz help

Answers

Answer:

the answer is 16.6 Pizzas

Step-by-step explanation:

16% of 40 is 6.4 that means she sold 6 full pizzas and 0.4 parts of one pizza

add that to 18 is 24.4 pizzas sold and 16.6 to go.

5.5 as a mixed number.

Answers

Answer: 5 1/2

Step-by-step explanation:

You keep your whole number which is five, then you see that the other 5 is in the tenths place in the decimal (5.5) so you put 5 over 10 and combine the fraction (5/10) with the whole number (5) and that is 5 5/10. But you see that it is not simplified so you simplify and get 5 1/2. I hope this helps :)

Mixed number is 5 1/2

Write the standard equation of a circle with its center at the origin and radius 3.

Answers

Answer:

9 = x^2+y^2

Step-by-step explanation:

3^2 = (x-0)^2 + (y-0)^2

9 = x^2+y^2


Find the surface area of the regular pyramid to the nearest tenth

Answers

Answer:

668.17

Step-by-step explanation:

Convert the decimal 0.07 to a fraction.

Answers

Answer:

7/100

Step-by-step explanation:

two decimal places so 100

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