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 :
https://brainly.com/question/20521780
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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.
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:
Need help quick please
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 - = +
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
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.
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?
Answer:
dgfrngssfrhrfhhkthgfgtuthrruyifrhtuturhfnfbhmxvdg4jfdd
Step-by-step explanation:
xdvbbffyeurudgdifhfjdchd8wixsigfir
Find the 10th term of the arithmetic sequence -x + 9, 4x + 14, 9x + 19, ...
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
5.5 as a mixed number.
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 :)
PLS HELP ASAPPP
I really need help
question: write in standard form.
2x^2+x^3-3+4x^5
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
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
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?
____________________
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. :)
Any tips for a gaming addicted brother? :-/
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.
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?
Answer:
17000
Step-by-step explanation:
I hope this helps:)
Find the surface area of the regular pyramid to the nearest tenth
Answer:
668.17
Step-by-step explanation:
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
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.
A number, f is positive
Answer:
Not enough information.
Step-by-step explanation:
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?
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...
Died: February 3, 1468 (aged about 68); Mainz, ...
Known for: The invention of the movable-type ...
Early life · Printing method with... · Legacy · References
People also askStep-by-step explanation:
What is the greatest common factor of 6, 42, and 30?
Answer:
6
Step-by-step explanation:
I found that the greatest common factor for those numbers is 6
How many seconds are there in
January?
Answer: 2,678,400
Step-by-step explanation:
There are 31 days in January and 2,678,400 seconds
What is HK?............help me answer this
Answer
C
Step-by-step explanation:
Using the graph, determine the coordinates of the vertex of the parabola.
the rule for converting yards to feet
Answer:
1 yard=3 feet
Step-by-step explanation:
If it needs more, then 3 feet=36in.
Please help, test due in 1 hour! I will give brainliest!
Simplify: -5 + 3a +
6 - 4a.
Answer:
-a+11
Step-by-step explanation:
hard to explain. but should be correct
Write the standard equation of a circle with its center at the origin and radius 3.
Answer:
9 = x^2+y^2
Step-by-step explanation:
3^2 = (x-0)^2 + (y-0)^2
9 = x^2+y^2
write an explicit formula for an the nth term of sequence 100,20,4
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!
solve by regrouping 2x2+6x+54+18x
Answer:
I believe the answer is=2x2+342.
whats x value please help
Answer:Step-by-step explanation:
x+46=90
x=90-46
x=44°
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)
Answer:
Step-by-step explanation:
What is 2x-3y=-1
y=x-1
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
Convert the decimal 0.07 to a fraction.
Answer:
7/100
Step-by-step explanation:
two decimal places so 100
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!